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soldi70 [24.7K]
4 years ago
5

Angle S and angle T are congruent. Angle S measures 2x + 5 and angle T measures 5x – 25. What is the measure of angle S?

Mathematics
2 answers:
Alexus [3.1K]4 years ago
8 0
Since the two angles are congruent, then 2x+5 and 5x-25 must be equal.

2x+5=5x-25
-3x+5=-25
-3x=-30
x=10

Now we can plug in x=10 into the expression for angle S:
2x+5 --> 2(10)+5 = 25

The measure of angle S is 25 degrees.
Alecsey [184]4 years ago
4 0
X is 10 so 2(10)+5 is 25 degrees for angle S
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Answer:

There is something called "criteria of congruence for triangles".

Those criteria say that, with some data of the triangles, we can know if the triangles are equivalent.

For example one of the criteria is SSS.

Side-side-side.

This means that all the triangles with equal side length for all their sides are equivalent.

So if the information that we give to the factory is the side length of the 3 sides of the triangle, the triangle will be well defined.

Following those criteria, the other 2 options can be:

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ASA

Angle-Side-Angle.

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5 0
3 years ago
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wel

Answer:

1,075

Step-by-step explanation:

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8 0
3 years ago
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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

7 0
4 years ago
Help ASAP please and thank you
scoundrel [369]

Answer:

yx if 4-5

Step-by-step explanation:

what te

4 0
4 years ago
1/4 increase by 1/2 What is the percent?
sergij07 [2.7K]
So you would first divide 1/4 by 2 to get 1/8 and then you would add 1/8 to 1/4 to get 3/8 ,since 1/4 is 2/8. 3/8 is eqivalent to 37.5%
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3 years ago
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