Answer:
10. x = 13
11. x = √65
12. x = 12
13. x = 17
14. x = 8
Step-by-step explanation:
10. This triangle is isosceles, so the base is divided in 2 equal parts (one part is 0,5 × 24 = 12)
Use the Pythagorean theorem:
\( {x}^{2} = {5}^{2} + {12}^{2} = 25 + 144 = 169\)
\(x > 0\)
\(x = \sqrt{169} = 13\)
11. Opposite sides of a rectangle are equal
Use the Pythagorean theorem:
\( {x}^{2} = {7}^{2} + {4}^{2} = 49 + 16 = 65\)
\(x > 0\)
\(x = \sqrt{65} \)
12. This figure is formed from a rectangle and a right triangle
19 - 10 = 9 (bottom side of a triangle)
Let's find x by using the Pythagorean theorem:
\( {x}^{2} = {15}^{2} - {9}^{2} = 225 - 81 = 144\)
\(x > 0\)
\(x = \sqrt{144} = 12\)
13. This triangle contains two right triangles
The construction of the smaller triangle can be found by using the Pythagorean theorem:
\( {10}^{2} - {6}^{2} = 100 - 36 = 64\)
\( \sqrt{64} = 8\)
Now, let's find x by using the Pythagorean theorem:
\( {x}^{2} = {8}^{2} + {15}^{2} = 64 + 225 = 289\)
\(x > 0\)
\(x = \sqrt{289} = 17\)
14. The diagonal of a rectangle divides it into two right triangles
Since the diagonal is not perpendicular, it is the hypotenuse of the triangles
Use the Pythagorean theorem to find the other length:
\( {x}^{2} = {10}^{2} - {6}^{2} = 100 - 36 = 64\)
\(x > 0\)
\(x = \sqrt{64} = 8\)
Which of the following pairs show(s) two congruent triangles?
O B only
OB and C only
O A, B, and C
O A and C only
Answer:
B only
Step-by-step explanation:
Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.
Therefore, only B is correct
The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.
Explanation:The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.
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John has a rectangular garden with an area of 22.6 square feet. If the length of the garden is 5.2 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.
Group of answer choices
6.1 feet
4.1 feet
8.1 feet
6.8 feet
Answer:
6.8 feet
Answer From Gauth Math
Width = area/length = 22.6/5.2 = 113 ≈/26
Diagonal = √[length² + width²] ≈ √23.0 feet
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Both of you are correct because using either way can solve the equation for the value of x.
How to solve for x ?In the case of solving for x in 2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.
Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :
Multiplying :
2/5 x = 14
5 / 2 x 2 / 5 x = 14 x 5 / 2
x = 35
Dividing :
2/5 x = 14
2 / 5 x / 2 / 5 = 14 / 2 / 5
x = 35
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Please explain how to do it too ill give brainliest
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
Eighteen less than 9 times a number is the same as 22 more than the number.
Answer:
5
Step-by-step explanation:
9n - 18 = 22 + n
8n = 40
n = 5
points frreeeeeeeeeeeee :)
Answer:
thx m8
Step-by-step explanation:
:)
Answer:
No idea but ok
v+8w=4v,for v
-m+5n=-2, for n
Answer:
v = 8w/3,n = (m - 2)/5.---------------------------
Given equationsv + 8w = 4v and - m + 5n = - 2Solve the first equation for vv + 8w = 4v4v - v = 8w3v = 8wv = 8w/3Solve the second equation for n- m + 5n = - 25n = m - 2n = (m - 2)/5Answer:
Value of v = (8w)/3Value of n = (m - 2)/5Step-by-step explanation:
1) v + 8w = 4v, for v?
→ v + 8w = 4v
→ 8w = 4v - v
→ 8w = 3v
→ [ v = (8w)/3 ]
Thus, value is (8w)/3.
2) -m + 5n = -2, for n?
→ -m + 5n = -2
→ 5n = -2 + m
→ 5n = m - 2
→ [ n = (m - 2)/5 ]
Thus, value is (m - 2)/5.
plz plz help i dont get any of this kind of math
Answer:
im sorry im not entirely sure but if you use socratic it might help!
Its about fractions please help me
The times the 7 in the Susan's scores is greater than Sarah's score is 100 times
How many times is the 7 in the scores greater than the otherFrom the question, we have the following parameters that can be used in our computation:
Susan = 87, 325
Sarah = 46, 175
The values of the 7's in their scores are
Susan = 7, 000
Sarah = 70
So, we have
Number of times = 7000/70
Evaluate
Number of times = 100
Hence, the number of times is 100
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It’s 59 and subtract it from 12 times the number the result is the square of two less than the numberl
Step-by-step explanation:
let the number be x
12x-59=x²-2
12x-x²=59-2
12x-x²=57
12x-57=x²
x=root of 12x-57
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2)? Responses The graph of g(x) is the graph of f(x) translated 2 units right. The graph of , g begin argument x end argument, is the graph of , , f open argument x close argument, , translated 2 units right. The graph of g(x) is the graph of f(x) translated 2 units down. The graph of , g begin argument x end argument, is the graph of , , f open argument x close argument, , translated 2 units down. The graph of g(x) is the graph of f(x) translated 2 units up. The graph of , g begin argument x end argument, is the graph of , , f open argument x close argument, , translated 2 units up. The graph of g(x) is the graph of f(x) translated 2 units left.
The graph of g(x) is the graph of f(x) translated 2 units left by the operation g(x)=f(x+2) so option (D) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
If a function f(x) is transformed by funciton g(x) as shown,
g(x) = f(x+a)
For a>0, then the graph of f(x) shifts left by "a" unit, while if a<0, then the graph of f(x) shifts right side by "a"units.
As per the given function,
g(x) = f(x + 2)
Since 2 > 0 therefore the function will shift 2 units left.
Hence "The graph of g(x) is the graph of f(x) translated 2 units left by the operation g(x)=f(x+2)".
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Write the equation in standard form 5x + 6y= 3x + 2
Answer:
2x+6y=2
Step-by-step explanation:
Pls help!!!
Find the solution set of the inequality with the given replacement set:
20x - 4 > 24, x = {0, 1, 2, 3}
Answer:
{2,3}
Step-by-step explanation:
as when we solve we will get 7/5
that is 1.5
and x > 1.5
so answer is 2 and 3
plz mark as brainliest if it helps
The Lopez family is looking to rent a large truck for their upcoming move. With Felipe's
Moving, they would pay $90 for the first day plus $1 per additional day. With Springdale
Rent-a-Truck, in comparison, the family would pay $40 for the first day plus $6 per additional
day. Before deciding on which company to use, Mrs. Lopez wants to find out what number of
additional days would make the two choices equivalent with regards to cost. How many
additional days would that be?
Write a system of equations, graph them, and type the solution.
The system of equation is written as follows
y = 90 + x
y = 40 + 6x
With regards to cost the choices will be equivalent in 10 day
How to write the system of system of equationsAssuming additional day is x
Felipe's Moving, they would pay $90 for the first day plus $1 per additional day:
= 90 + x
Rent-a-Truck, the family would pay $40 for the first day plus $6 per additional day.
= 40 + 6x
Equating both costs gives
90 + x = 40 + 6x
90 - 40 = 6x - x
50 = 5x
x = 10
in 10 days the cost will be same
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Which correctly describes how the graph of the inequality 5x + 2y > 13 is shaded?
Answer:
We can't graph on this app but this is what I can give you.
Step-by-step explanation:
The 5+2 part automatically makes 7, obviously, meaning that x and y each would have to at least represent 2 for this equation to be true.
please help me asapppppp
Answer:
T1=-12
T2=-19
T3=-26
Step-by-step explanation:
Determine which term will have a value of -6998
-7n-5=-6998
-7n=-6998+5
-7n=-6993
-7n/-7=-6993/-7
n=999
6. Find m4V.
Y
V
(10x-27)
(2x +29)
X
W
nswers 1-7
Since the total of the inner angles of the rhombus is 360 degrees, the angle mV has a value of 90.
what is angles ?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that come together at a point in the middle known as the angle's vertex. An angle that is in the plane where the rays are placed can be created by two rays. An angle is also produced when two planes collide. They are known as dihedral angles. In planar geometry, an angle is the form produced by two rays or lines that share a termination. The English word "angle" comes from the Latin word "angulus," which means "horn." The vertex, also known as the sides of the angle, is where the two rays' common terminals meet.
given
m∠V + m∠W + m∠X + m∠Y = 360
10x -27 + 2x + 19 = 180
12x - 8 = 180
188 = 12x
x = 15.66
m∠V + m∠X = 180
2x = 180
x = 90
Since the total of the inner angles of the rhombus is 360 degrees, the angle mV has a value of 90.
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Plz help me will mark brianliest
Answer:
b. g\(\leq 2\)
Step-by-step explanation:
just subtract 1 from 3 and you get 2
Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window.
apenas la dibuje te la mando
if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
How long is 10 percent of a 24 hour day
Answer:
Step-by-step explanation:
2.4 hours, aint no way this is college math
Answer:2.4 hours
Step-by-step explanation:
HELP! Someone! Anyone! Please help!
i) If 12 men can do a piece of work in 72 days. In how many days will 24 men do the same work? *
i) Find the final amount to be paid to the bank if Rs. 7000 is borrowed for 4 years at a rate of 6 % per annum. *
2 points
Answer:
Question 1 answer is 144
Step-by-step explanation:
just multiply
Answer:
1. 36 days, 2. $8,680
Step-by-step explanation:
1. We know that 12 men can do the work in 72 days, so if you add double the men, it will take half the time. Half of 72 is 36, so our answer is 36 days.
2. If $7,000 is borrowed, that person owes $7,000 so far, but they keep it for 4 years with an annual interest rate of 6%. To solve this, we need to find 6% of 7,000. To do this, we multiply 7,000 by .06. That gets us 420. Now, we multiply 420 by 4. That gets us 1,680. Now, we add 1,680 and 7,000. That gets us 8,680. That means the final amount owed is $8,680.
Find the area of the shaded region if the radius is 12 inches.
The area of a circle with radius r is given by the formula:
\(A=\pi r^2\)The circular sector is 1/4 of the whole circle. Then the area is given by 1/4 of the area of a circle:
\(A=\frac{1}{4}\pi r^2\)Substitute r=12 in and use 22/7 as the value for π:
\(\begin{gathered} A=\frac{1}{4}\times\frac{22}{7}(12in)^2 \\ =\frac{1}{4}\times\frac{22}{7}\times144in^2 \\ =\frac{3168}{28} \\ =\frac{792}{7} \\ =113.1428571\ldots \end{gathered}\)Then, the area of the shaded sector up to one decimal place is:
\(113.1\)What’s the answer
5 3/7 - 2 1/5
Answer:3.22
Step-by-step explanation:
Hope this helps
See attachment for math work and answer.
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Mr. Heritage starts a new business, and to get it started he borrows $2 500 from a bank. If the loan is for two years, and the amount of interest for those two years is $175, what SIMPLE interest rate was he charged? (SIMPLE INTEREST: the principle and interest calculations dont change- they stay the same for the entire two year period!) BONUS- if he pays off the whole loan in the two years, what would his monthly bill be, (DON'T FORGET TO INCLUDE THE INTEREST CHARGE FOR HIS MONTHLY BILLS!!! YOU CAN ROUND YOUR CALCULATION TO THE NEAREST HUNDRETH- THAT IS, TO TWO DECIMAL PLACES...)
The rate of interest is given by the equation R = 3.5 %
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the rate of interest be represented as R
Now , the simple interest I = $ 175
The principal amount invested P = $ 2,500
The time period T = 2 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )
Substituting the values in the equation , we get
Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )
Rate of Interest R = 17500 / 5000
Rate of Interest R = 3.5 %
Hence , the interest rate is 3.5 %
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Without writing the equation x^2 + y^2 + 24x – 26y+ 277 = 0 in the standard form, state whether the graph of this equation is a
parabola, circle, ellipse, or hyperbola.
a. parabola
c. hyperbola
b. ellipse
d. circle
Answer:
circle
Step-by-step explanation:
You can see there is a x^2 and y^2 and 24 x and 26 y meaning if you do complete the square you can write it as a circle in standard form