Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
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Question 7 (5 points)
(06.04 LC)
The equation of the line of best fit of a scatter plot is y = 8x - 1. What is the slope of
the equation? (5 points)
1)-8
2-1
3) 1
4) 8
Answer:
4) 8
Step-by-step explanation:
In the formula y = mx + b, m is the slope and b is the y-intercept
m = 8
b = -1
If m = 8 and m is the slope, then the slope is 8
A catering company orders 150 lb of fresh clams for a banquet serving 100 people, and 30 lb of clams for dinner party of 20 people. Determine the standard number of clams per serving.
Answer:
about two clams per person
Step-by-step explanation:
Answer:
It is 1.5 lb per serving.
Step-by-step explanation:
Well, this is just a matter of proportions.
Here is our current proportion:
150lb
---------
100 guests
Now, all we need to do is make it per one guest.
150lb = x lb
----------- ---------------
100 guests = 1 guest
Now, to get from 100 to 1, I divided by 100, right?
So, because this is a ratio, and it needs to be proportional, we do the same for 150.
150/100=1.5.
It is 1.5 lb per serving.
Simplify
1/6 / 1 3/8
Answer:
1/6 = 1/6 (already simplified) 1 3/8 = 11/8
Step-by-step explanation:
A paper bag has six colored marbles. The marbles are red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.
S = {1, 2, 3, 4, 5, 6}
S = {red, blue, green, orange, yellow}
S = {g, r, b, y, o}
S = {green, blue, yellow, orange, purple, red}
Option D. The sample space when one marble is to be chosen is given as S = {green, blue, yellow, orange, purple, red}
What is sample space in probability?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.
The sample space here have been listed based on the colors of the marbles that was presented in the question that we have here.
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Answer:
OPTION D is not correct I took the test and its B
Step-by-step explanation:
also here is a picture
In circle F with m/EFG = 62°, find the angle measure of minor arc EG.
The angle measure of the minor arc is 62°
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.
The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°
The measure of the arc is 62°
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HELP PLEASE.
Either Table A or Table B shows a proportional relationship.
Plot the points from the table that shows a proportional relationship.
( If you can, can you save the image as and edit it it will help me out a lot)
Answer: Table A has a proportional relationship
See the diagram below
==================================================
Explanation:
Table A has a proportional relationship because all the points are on the same straight line. That line in this case is y = 2x
Whatever x is, multiply it by 2 and you'll get the y value
Example: If x = 4, then y = 2*x = 2*4 = 8 which gives the point (4,8)
Another phrase for "proportional relationship" is "direct variation".
a potter mixes 6 pounds of pottery plaster with 2quarts of water. Select all the statements that are true.
All the correct statements are,
a) 3 lb plaster / 1 qt water is a unit rate for the mis.
c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
A potter mixes 6 pounds of pottery plaster with 2quarts of water.
Now, We get;
The unit rate for the mis = 6/2
= 3/1
Thus, 3 lb plaster / 1 qt water is a unit rate for the mis.
And, Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
Thus, All the correct statements are,
a) 3 lb plaster / 1 qt water is a unit rate for the mis.
c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
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The complete question is shown in figure.
What are the values of x
X =
The product of the two external segments and the sum of the lengths of each segment in the circle are equal if two secants are drawn to the circle from a single shared exterior point. The x has a value of 2 units.
What is intersecting secants theorem?If two secant segments are drawn to a circle from an exterior point, the product of the measurements of one secant segment and its external secant segment is equal to the product of the measurements of the second secant segment and its external secant segment.
So, we know that:
BE * AE = CE * DE
Now, insert the values as follows:
(x+1) * (x+12) = (x+4) * (x+5)
x² + x + 12x + 12 = x² + 4x + 5x + 20
13x + 12 = 9x + 20
4x = 8x
x= 2
Then: x = 2 units
Therefore, the product of the two external segments and the sum of the lengths of each segment in the circle are equal if two secants are drawn to the circle from a single shared exterior point. The x has a value of 2 units.
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7 John and Raul both bought the same style bike from a store. On
Wednesday, John purchased the bike at a 20% discount off the original
price. On Friday, Raul bought the bike for off the original price.
Part A-Who received the greater discount on the bike? Show your work.
Part B-If John saved $24, what was the original price of the bike? Show
your work.
Use words, numbers and/or pictures to show your work.
John recieved the greater discount and the original price of the bike is $120
John purchased the bike at a 20% discount off the original
price.
Let the price of the bike be x
The price at which John purchased the bike is x - 20% of x
= x - (20/100)x
=(80/100)x
Raul brought the bike at original price.
Raul's cost price is x
x is greater than (80/100)x
Raul purchased at a greater price than John, so the greater discount is recieved by John.
John got discount = (20/100) x
He saved = $24
(20/100)x = 24
20x =2400
x = 2400/20
x = 120
The original price is $120
Therefore, John recieved the greater discount and the original price of the bike is $120
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What point would represent a square with perimeter 20/21?
Answer:
P=4a
Step-by-step explanation:
calculate the perimeter of a square, add all the sides of it. There are 4 sides of a square which are all equal in length. The sum of the sides will give its perimeter. We can use also find the perimeter of square if the length of diagonal or area of square is given to us.
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answer:
40% of 60 ------> $24 discount. So price with 40% discount is $36
20% of 36 -----> $7.20 discount. So price with 20% discount is $28.80
Sandy paid $28.80 without tax
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Can you help me please
Answer:
its 2nd one
Step-by-step explanation:
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Any help on this question
Using trigonometric relations we will see that:
a = 5*√3
b = 5
The correct option is the one you marked.
How to get the values of a and b?For a right triangle with a known hypotenuse H and a known angle x, we can use the trigonometric relations:
cos(x)= (adjacent cathetus)/h
sin(x) = (opposite cathetus)/h
Here the hypotenuse measures 10 units, and the known angle is x = 30°.
The adjacent cathetus to that angle is a, so we can write:
cos(30°) = a/10
a = cos(30°)*10 = 10*√3/2 = 5*√3
And b is the opposite cathetus:
sin(30°) = b/10
b = 10*sin(30°) = 5
Then the correct option is the one you marked.
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Suppose that $6000 is placed in a savings account at an annual rate of 4%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the account to grow to $8670?
The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.
Given the amount of money that is the principal = $6000
Rate = 4% compounded quarterly.
Time = t
Amount = $8670
Now we know that the amount is calculated by the formula:
A = P(1+r/4)ⁿ
8670 = 6000(1+0.01)ⁿ
Hence
log 1.445 = n log 1.01
or, n = 36.99
Number of years = 36.99 / 4 = 9.24 years.
The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.
If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.
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The pentagonal prism below has a cross-sectional area of
27 cm² and a length of 3 cm.
Calculate the volume of the prism.
Give your answer in cm³.
Answer:
volume=27 multiply 3 =81
Two scientists are measuring the temperature of liquids in two beakers. Liquid A has a temperature of -105.4° C and Liquid B has a temperature of -10.83 ° C.
Which liquid is warmer and why?
Answer: Liquid B is warmer.
Step-by-step explanation:
The data that we have is:
Temperature A = -105.4° C
Temperature B = -10.83° C
We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.
Now, you can see that temperature A is larger in module, but this is a negative number.
When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.
From this, we can conclude that Liquid B is warmer.
Another way to see it is with a change of units.
If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.
Then we have:
Ta = (-105.4° + 273.15°) K = 167.75 K
Tb = (-10.83 ´273.15°) = 262.35 K
where you can see that liquid B has a larger temperature.
Answer:
Liq A= -105.4ºC < LiqB= -10.83ºC
Step-by-step explanation:
Hello!
The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)
You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.
So the temperature of Liquid B > Temperature of liquid A.
I hope this helps!
bRAINLIEST IF YOU ANSWER RIGHT!
Answer:
A) y<-2x-1
Step-by-step explanation:
The graph shows y as less than -2x-1, without including it.
Max has 382 baseball cards, Ali has 4x more, how many more does Ali have? What is the total of the cards added together?
Answer:
Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.
Step-by-step explanation:
382 x 4 = 1528
1528 - 382 = 1146
1528 + 382 = 1910
Answer:
If Max=382 and Ali=4x\(4x = 4 \times 382 = 1448\)total cards added together is 328+1448=2776Show that x+y:x-y=3:2
We have,
x+y:x-y=3:2
To prove that, x+ y : x - y = 3:2.
x+y=3
And,
x+y = 2
Adding (1) and (2), we get
x+y+x-y=3+2
⇒2x=5
⇒ x =
Put x = in (1), we get
+y=3
⇒ y=3-=
x+y:x-y=
=3:2
So, x+y:x-y=3:2.
Elsevier logo el Home
Find the area of the combined rectangles.
9 ml
1 2 3 4
The area is
11 ml
19 ml
square miles.
2 ml
8 ml
5
7 ml
To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?
Hello? STOP RIGHT THERE.... Please help me with this.
Answer: THE ANSWER IS 2 :)
Step-by-step explanation:
3(q+2) Do distributive property
3q=6 Divide 3q to both side
3q = 3q
q= 2 This is the answer
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle E?
Help me solve thiss
Answer:
Angle E = 70°
Step-by-step explanation:
Given parallelogram RELA, where m<R = 110°, to find m<E, recall the properties of a parallelogram.
Angle R and angle E are consecutive angles in parallelogram RELA.
One of the properties of a parallelogram states that any 2 consecutive angles in a parallelogram are supplementary. That is, they add up to 180°.
Therefore:
m<R + m<E = 180°
110° + m<E = 180°
Subtract 110° from both sides
m<E = 180° - 110° = 70°
What is the slope of this line?
5
1/5
-1/5
-5
Answer:
1/5
Step-by-step explanation:
You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.
And it is positive because it is pointed to the right side.
Hope this helps
Sailor SheftalAngle Terminology with EquationsAug 02, 10:00:18 AM?ZA and ZB are vertical angles. If m_A = (2x – 10° and m B = (2+8)°,then find the measure of ZA.Answer:Submit Answerattempt 1 out of 2
We have
The vertical angles have equal measure, therefore:
\(\begin{gathered} \angle A=\angle B \\ 2x-10=x+8 \end{gathered}\)then solve for x
\(\begin{gathered} 2x-10+10=x+8+10 \\ 2x=x+18 \\ 2x-x=x+18-x \\ x=18 \end{gathered}\)So, angle A is:
\(\angle A=2x-10=2(18)-10=36-10=26\)Answer:
Shown below is a blueprint for a rectangular kennel at a pet hotel.What is the total length of fencing needed to enclose the kennel?The total length needed is ________ feet.The solution is ___________
According to the blueprint, the total length of fencing needed to enclose the kennel is the perimeter of the rectangle. Therefore,
width = w = 13 feet
length = l = 24 feet
\(\begin{gathered} \text{total length=2l+2w} \\ \text{total length=2(24)+2(13)} \\ \text{total length=48+26 = 74 fe}et \end{gathered}\)total length = 74 feet
Which statement is true about the graphed function
YOU GET 50 POINTS IF YOU ANSWER THIS , The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library. Peter's English class is located in the same quadrant as the auditorium. Which of the following could be the coordinates of the English classroom?
A (3, 2) B (−3, 2) C (−3, −2) D (3, −2)
Answer:
B
Step-by-step explanation:
Bc if u solve our you will get the answers and I’m learning about this stuff right now
Answer:
B
Step-by-step explanation:
Got it right
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).