The chords intersect at point U.
A circle is shown. Chords R T and Q S intersect at point U. The length of R U is 12 centimeters, the length of U T is 4 centimeters, the length of U S is y centimeters, and the length of Q U is 8 centimeters.
What is the value of y?
2
4
6
8
Answers
Answer:
Its b)6
Step-by-step explanation:
I just did it on edge and got it correct
The value of y is 6 centimeters.
Given that,
The length of RU = 12 centimeters
The length of UT = 4 centimeters
The length of QU = 8 centimeters.
The length of US = y centimeters
What is the intersecting chords theorem?The intersecting chords theorem states that, the product of one whole chords segment and its external segment is equal to the product of the other whole chords segment and its external segment when two chords cross at an exterior point.
According to the intersecting chords theorem,
US x QU = RU x UT
Substitute the values in above formula,
y x 8 = 12 x 4
y = 48/8
y = 6 centimeters,
Hence, the value of y is 6 centimeters.
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Related Questions
Which representation would be best for determining between which two values 50% of data will lie
Answers
The representation that would be best for determining the two values that 50 % of the data will lie is C. Interquartile Range
What is the interquartile range ?The interquartile range (IQR) is a measure of the dispersion of a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. The interquartile range provides a measure of the spread of the middle 50% of the data, as opposed to the range which measures the spread of the entire dataset.
The interquartile range is useful because it is not affected by outliers or extreme values, unlike the range. It is therefore a more robust measure of dispersion and is often used in statistics and data analysis.
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Options for this question include:
Data range Median Inter-quartile range Sample sizeThe figure below shows a right triangle with a square made from its hypotenuse. What is the area of the square?
Answers
Answer:
50cm^2
Step-by-step explanation:
side length is square root 50 so you multiply square root 50 by square root 50 which gives you 50
Rewrite in simplest terms: -3(7n+5n+8)-8n
Answers
Answer:
28n+24
Step-by-step explanation:
3 ( 7 n + 5 n + 8 ) - 8 n
combine 7n and 5n to get 12n
3 ( 12n + 8 ) - 8
distribute 3 to 12n +8
36n+24-8n
combine like terms
28n+24
since ypu cant simply any more it stays like thats
*by the way there is an app that helps with equation and explains the process, its Microsoft Math Solver. hope it helped
Sandy is working as a waitress and wants to average
over $90 a night in tips. She works 4 days a week. So
far, she has made $95, $87, and $88 this week. How
much must she make on her last day of work to meet
her goal?
Answers
Simplify ratio 10 :200
Answers
Answer:
Step-by-step explanation:
10 : 200
Both have table of 10 in common
1 : 20
A sector with a central angle measure of \purpleD{\dfrac{\pi}{6}} 6π start color #7854ab, start fraction, pi, divided by, 6, end fraction, end color #7854ab (in radians) has a radius of \maroonD{12\,\text{cm}}12cmstart color #ca337c, 12, start text, c, m, end text, end color #ca337c.
Answers
EXPLANATION:
Given;
We are given a sector of a circle with the following dimensions;
\(\begin{gathered} radius=12 \\ central\text{ }angle=\frac{\pi}{6} \end{gathered}\)Required;
We are required to calculate the area of the sector with the details given.
Step-by-step solution;
To calculate the area of a sector with the central angle given in radians, we will use the following formula;
\(Area\text{ }of\text{ }a\text{ }sector=\frac{\theta}{2\pi}\times\pi r^2\)We can now substitute and solve;
\(Area=\frac{\frac{\pi}{6}}{2\pi}\times\pi r^2\)\(Area=(\frac{\pi}{6}\div\frac{2\pi}{1})\times\pi r^2\)\(Area=(\frac{\pi}{6}\times\frac{1}{2\pi})\times\pi\times12^2\)\(Area=\frac{1}{12}\times144\times\pi\)\(Area=12\pi\)ANSWER:
In terms of pi the area of the sector is
\(undefined\)Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places.HINT [See Example 3.] Two pairs: Two cards with one denomination, two with another, and one with a third. Example: 3, 3, Q , Q , J.
Answers
Answer:
Step-by-step explanation:
The odds of selecting 5 cards from a deck of 52 are 52c5. Probability = Maximum outcomes / Possible outcomes for the given circumstance = 52!/47!*5! = 2598960. Now, in poker, the chance of selecting any two numbers from a pool of 13 distinct numbers is 13c2.
Possible poker hands
C(n,r)= C(52,5)
=52!/(5!(52-5!)
=2598960
Hand with pattern
(X,X,Y,Y,Z)
Number of choices for x and y
C(n,r)= C(13,2)
=13!(2!(13-2)!)
=78
Ways to get 2 X's
C(n,r)= C(4,2)= 4!(2!(4-2)!) =6
Similarly, ways to get 2x's is 6
We have 44 choice of occurance for Z
Hands with two pairs =78*44*6*6= 123552
So, Probability of Two pairs is =123552/2598960=0.047539
P(Two pairs) = 0.0475
How many ways can we choose two pairs in a poker hand?
There are 13 ways to choose the denomination of the first pair, 12 ways to choose the denomination of the second pair, and 4 choices for the remaining card. Thus, there are 13\cdot 12\cdot 4 = 624 ways to choose two pairs in a poker hand.
In poker, a hand is made up of 5 cards from a deck of 52 cards. The different possible hands in poker include a royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and one pair.
In this problem, we are asked to find the probability of getting a hand with two pairs.
To find the probability of two pairs, we first need to find the total number of possible poker hands. This is done using the combination formula C(n,r) where n is the total number of cards (52 in this case) and r is the number of cards needed to make a hand (5 in this case). This gives us a total of 2598960 possible poker hands.
Next, we need to find the number of possible hands with two pairs. A hand with two pairs has a pattern of X,X,Y,Y,Z where X and Y are the ranks of the pairs and Z is the remaining card. There are 13 ranks in a deck of cards (Ace, 2, 3, ..., 10, Jack, Queen, King) and we need to choose 2 of these ranks to be the ranks of the pairs. This can be done in C(13,2) ways, which is 78.
There are 4 cards of each rank in a deck, so there are 6 ways to choose the 2 cards of rank X and 6 ways to choose the 2 cards of rank Y.
Finally, we have 44 choices for the remaining card (Z) because there are 13 ranks and we have already used up 2 ranks for the pairs.
Therefore, the number of possible hands with two pairs is 78*6*6*44 = 123552. The probability of getting a hand with two pairs is then 123552/2598960 = 0.047539 or approximately 0.0475.
Therefore, the final answer is P(Two pairs) = 0.0475.
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Answer: The probability of receiving a hand with two pairs is 0.04322.
Step-by-step explanation:
How many ways are there in a poker hand to pick two pairs?
There are 13 ways to choose the denomination of the first pair, 12 ways to choose the denomination of the second pair, and 4 choices for the remaining card. Thus, there are 13*12*4 = 624 ways to choose two pairs in a poker hand.
In poker, a hand is made up of 5 cards from a deck of 52 cards. The different possible hands in poker include a royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and one pair.
To choose the denominations of the two pairings, there are C(13,2)=78 possible options. There are C(4,2)=6 methods to select the two cards in each pair for each of these approaches. The remaining card's denomination can be determined in C(4,1)=4 different ways. As a result, there are 78*6*6*4=11232 different ways to deal a hand with two pairs.
A hand of five cards can be dealt in C(52,5)=2598960 different ways. Therefore, the probability of receiving a hand with two pairs is 11232/2598960=0.04322.
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Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.
How many more pounds of fruit does she need to buy?
Answers
Answer:
She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds
Calculate the new price. Original price: $19.99, discount 30%
Answers
19.99 times 30.00 divided by 100 = 19.99 x 30.00/100 = 19.99 x 0.3 = 6.00 (this is the discount)
Subtract the discount from the price before the discount to get the final price:
Final price = 19.99 minus 6.00 = 19.99 - 6.00 = 13.99
So an item that costs 19.99 when discounted 30% will cost 13.99.
Hope this helps : )
Answer: 30 percent of 19.99 is 13.99
Step-by-step explanation: if you add a 30% discount to the 19.99$ the price will be lowered by 6.00$.
HELP PLS I NEED ASAP
A text message plan costs $4 per month plus $0.11 per text.
Find the monthly cost for x text messages.
Answers
9514 1404 393
Answer:
0.11x +4.00
Step-by-step explanation:
When you multiply the number of messages (x) by the cost per message (0.11) and add the base cost of the plan, you get the monthly charge:
monthly cost = 0.11x +4.00
What is the volume of a right circular cylinder with a radius of 6 m and a height of 9 m?
o 54 m²
o 108 m²
o 324 m²
○ 486 m²
Answers
option C) The volume of the right cylinder is 1017.88 m² = 324π m²
What is Cylinder ?One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
The properties of cylinder are :
It features two flat circular faces, two curved edges, and one curved surface.The two circular flat bases are parallel to one another.There isn't a vertex on it.The radius of a circular base and the height of a cylinder determine its size.The radius of the cylinder = 6 m
Height = 9 m
The volume of the right cylinder is π(radius)²height
= π * 6² * 9 = 1017.88 m² = 324π m²
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The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. There are four fewer tuba players than there are trombone player, but three more members play the French horn than play the trombone. The band director, his assistant and six parent volunteers are also going. How many seats are needed on the bus?
Answers
Answer:
76
Step-by-step explanation:
Flute players- 5
Trumpet player- 3 times flute players -15
Trombone players- 8 fewer than trumpet-7
Drummers- 11 more than trombone-18
Clarinet- 2 times flute- 10
Tuba-4 fewer than trombone-3
French horn- 3 more than trombone- 10
Band director- 1
Assistant-1
Volunteers- 6
5+15+7+18+10+3+10+1+1+6=76
A grocer sold 25 fewer kilograms of fruit on the first day of operation than he did on the second day. On the third day, the grocer sold 2/7 of the fruit he had sold on the first and second days combined. How many kilograms of fruit did the grocer sell each day if he sold 315 kg in total?
Answers
Answer:
First day 110 second day 135 third day 70
Step-by-step explanation:
110+135=245
2/7 of 245=70
245+70=315
Grocer sold
110 kg fruits on first day,
135 kg fruits on second day and
70 kg fruits on third day.
What is equation?An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
For example, 2x – 5 = 13.
Here,
2x – 5 and 13 are expressions
The sign that connects these two expressions is “=”.
Given,
A grocer sold 25 fewer kilograms of fruit on the first day than he did on the second day.
On the third day, the grocer sold 2/7 of the fruit he had sold on the first and second days combined.
he sold 315 kg in total
Let grocer sold x, y and z kilograms of fruits on first, second and third day respectively
then,
y = x + 25
z = (2/7) (x + y)
Substituting value of y in terms of x
z = (2/7)(x + x + 25)
z = (4x + 50)/7
x + y + z = 315
Substituting value of y and z in terms of x
x + x + 25 + (4x + 50)/7 = 315
7x + 7x + 175 + 4x + 50 = 2205
18x = 1980
x = 110 kg
y = x+25
y = 110+25
y = 135 kg
z = (2/7)(x + y)
z = (2/7)(110+135)
z = 490/7
z = 70 kg
Hence, grocer sold 110 kg, 135kg and 70 kg of fruits on first, second and third day respectively.
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Help me with these 2 questions
Answers
Mixed number: 4 1/4
2. Exact form: 372/35
Mixed number: 10 22/35
Answer:
1. 4¼
2. 10 22/35
Step-by-step explanation:
First, find a common denominator, in this case number 1 would contain a common denominator of 4, and for number 2 it could be 35 (7 x 5 = 35).
Then create an equivalent fraction, 1/2 turned into fourths would be 2/4. 2/4 + 3/4 = 5/4, which equals 1 1/4. Then add 1 1/14 + 1 + 2 = 4¼
For number 2, 3/7 = 15/35 and 1/5 = 7/35. Add them and get 22/35, then add the other numbers. 4 + 6 + 22/35 = 10 22/35
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Answers
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = \(H_0\\\) * D
where
v = velocity = 8254
\(H_0\\\) = hubble constant = 70
D = v/\(H_0\\\)
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
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i need this in a hour O_o
Answers
Answer:
x= 5/12,y=− 5/4
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
6x−12y=24,4x+2y=8
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
6x−12y=24
Add 12y to both sides of the equation.
6x=12y+24
Divide both sides by 6.
x= 6/1 (12y+24)
Multiply 6
1 times 24+12y.
x=2y+4
Substitute 4+2y for x in the other equation, 4x+2y=8.
4(2y+4)+2y=8
Multiply 4 times 4+2y.
8y+16+2y=8
Add 8y to 2y.
10y+16=8
Subtract 16 from both sides of the equation.
10y=−8
Divide both sides by 10.
y=− 5/4
Substitute − 5/4 for y in x=2y+4. Because the resulting equation contains only one variable, you can solve for x directly.
x=2(− 5/4 )+4
Multiply 2 times − 5/4 .
x=− 5/8 +4
Add 4 to − 5/8 .
x= 5/12
Which pile of laundry has more shirts?
Pile 1
Three pants two shirts
Pile 2
Two shirts 4 pants
Answers
Answer:111
Step-by-step explanation:
1111
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
Answers
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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What is the slope of the line?
Answers
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
I need help with this question, I think its the second option Im not sure tho.
Answers
Explanation
Similar triangles are triangles that have the same shape, but their sizes may vary
So for the triangles ABC AND AKY
We can compare similar sides using the ratio:
\(\begin{gathered} \frac{AC}{AY}=\frac{7}{2} \\ \\ where \\ AC=28 \\ \\ \frac{28}{AY}=\frac{7}{2} \\ \end{gathered}\)If we solve for AY
\(\begin{gathered} AY=\frac{28\times2}{7} \\ \\ AY=4\times2 \\ \\ AY=8 \end{gathered}\)The answer is
in the equation 8x - 1 = 3x + 4 the variable x represents the same value. Which value of x is the solution of the equation; x = 0, 1, 2, or 3? Explain.
Answers
Given the following expression:
a.) 8x - 1 = 3x + 4
Let's determine the value of x,
8x - 1 = 3x + 4
8x - 1 + 1 - 3x = 3x + 4 + 1 - 3x
8x - 3x = 4 + 1
5x = 5
5x/5 = 5/5
x = 1
Therefore, x = 1.
And then move the consistent to the right side and change the sign and you should get 8x-3=4+1
now you should have 8x-3x=4+1 now collect like terms and you should get 5x=4+1
Add the numbers And you should get 5x=5 divide both sides by 5 and you should get x1
Alex buys 30 shares of Walmart at the close price if $48.80. His broker charges him 3% of each share. How much did Alex spend in total to buy this stock?
Answers
Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.
What is shares?
Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.
Alex buys 30 shares of Walmart at the close price of $48.80.
His broker charges him 3% of each share.
Purchasing of 30 shares =48.80 *30
=$1464
Now we have to find the 3% of total purchasing of shares.
So,
Broker's fees =\(\frac{3}{100}*1464\)
= 0.03 * 1464
= 43.92
So, total cost of stock= 1464+43.92
= 1507.92
Hence, Alex spend $1507.92 in total to buy this stock.
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A shoe store developed the following estimated regression equation relating sales to inventory investment and advertising expenditures. where
^y = 25 + 10x1 + 8x2
x1 = inventory investment ($1000s)
x2 = advertising expenditures ($1000s)
y = sales ($1000s)
a. Predict the sales resulting from a $15,000 investment in inventory and an advertising budget of $10,000.
b. Interpret b1 and b2 in this estimated regression equation.
Answers
Answer: See explanation
Step-by-step explanation:
a. Predict the sales resulting from a $15,000 investment in inventory and an advertising budget of $10,000.
To solve this, in the regression equation, we have to replace x1 with 15 and then replace x2 with 10. This will be:
y = 25 + 10x1 + 8x2.
y = 25 + 10(15) + 8(10)
y = 25 + 150 + 80
y = 255
Therefore, the predicted sales is 255.
b. Interpret b1 and b2 in this estimated regression equation.
A change in b1 which is the inventory investment will bring about a change of 10 units in the sales as long as other values are constant.
A change in b2 which is the Advertising expenditure will bring about a change of 8 units in the sales as long as other values are constant.
I have been stuck on this question for a bit. I need some help on it me and 2 other people can't seem to figure it out.
Answers
Answer:
1080
Step-by-step explanation:
The surface area is the sum of the areas of the faces.
This L-shaped prism has 8 faces: the 2 Ls on the ends, and the 6 rectangular faces along the sides of the L.
The area of each L is 14×10 − 10×8 = 60.
The total surface area is therefore:
A = 2(60) + 20×4 + 20×8 + 20×10 + 20×2 + 20×14 + 20×10
A = 1080
The surface area is 1080 cm².
Q.3. A pressure vessel is to be fabricated from steel plate which may be either (i) Maraging (18% Ni) steel with oy = 1900 MN/m², Kic= 82 MNm-3/2 (ii) Medium strength steel with oy = 1000 MN/m², Kic= 50 MNm-3/2 Which of these two steels has a better tolerances to defects and compare their fracture toughness if they are to have same defect to tolerance, A factor of safety of 2 to be used as design stress.
Answers
Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.
How to determine the steel with better tolerance to defects and fracture toughnessThe tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.
To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.
Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:
σmax = FoS * Kic / (π * a)
where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.
Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:
For Maraging (18% Ni) steel:
σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa
For Medium strength steel:
σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa
Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.
To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.
Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).
Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.
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5 apples cost 60p how much does 1 apple cost
Answers
Answer:
It will cost 12p a one apple
The perimeter of a movie screen is 70 meters it is 23 meters wide how tall is it
Answers
Answer:
height = 12 m
Step-by-step explanation:
We can assume from the problem that the movie screen is rectangular and the formula for perimeter (P) of a rectangle is
P = 2h + 2w, where l is the length and w is the width.
Thus, we can plug in 70 for P and 23 for w and solve for h:
\(70=2h+(2*23)\\70=2h+46\\24=2h\\12=h\)
Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.
A second ball is then taken out.
i.
Find the following probabilities?
a. P(R)
b. P(G)
c. P (G and G)
d. P (R and R)
e. P (R and G)
f. P (G and R)
Answers
Part (a)
There are 7 red out of 7+3 = 10 total
Answer: 7/10==========================================================
Part (b)
We have 3 green out of 10 total
Answer: 3/10==========================================================
Part (c)
3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)
So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.
Answer: 9/100==========================================================
Part (d)
Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.
(7/10)*(7/10) = 49/100
Answer: 49/100==========================================================
Part (e)
7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.
(7/10)*(3/10) = 21/100
Answer: 21/100==========================================================
Part (f)
We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).
Answer: 21/100A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. Write an equation to show the profit she will make on sneakers and sandals. P = [answer0]
Answers
Answer:
The equation that shows the profit: P = 2x + 3y
Step-by-step explanation:
The number of sneaker = x
The number of sandals = y
Cost of sneaker = 8 dollars.
Cost of sandals = 14 dollars.
Selling price of sneaker = $10
Selling price of sandals = $17
Total revenue = $10x + $17y
Total cost = $8x + $14y
Profit (P) = Total revenue - Total cost.
Profit = ($10x + $17y) – ($8x + $14y)
P = 10x +17y – 8x – 14y
P = 2x + 3y
Find the measure of the exterior angle.
Answers
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º