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Ronch [10]
3 years ago
5

Given that QT is an altitude of triangle QRS, measure of angle QTS=(6x+36), and QR = 2x – 5, find QR.

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

Answer: It is D. 13 on edge-nuity!


Alexeev081 [22]3 years ago
6 0
We know that
if <span>QT is an altitude of triangle QRS
then
</span><span>the measure of angle QTS is equal to 90</span>°
so
6x+36=90-----> 6x=90-36----> x=54/6
x=9
QR=2x-5-----> QR=2*9-5-----> QR=18-5-----> QR=13

the answer is
QR=13
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2 years ago
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Step-by-step explanation:

7 0
3 years ago
Please help. Thank you :)
mixer [17]

Okay, first let's look at what they give us!


The measure of angle 2 is 3x + 1


Measure of angle 3 is 2x + 4


And they give us that one angle is right which means it is 90°


Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:


3x + 1 + 2x + 4 + 90 = 180


First we will add together liked terms!


3x + 2x = 5x


1 + 4 + 90 = 95


This gets us:


5x + 95 = 180


Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:


5x = 85


Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:


x = 17


Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1


51 + 2 to get us 52!


Answer: 52

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ahrayia [7]
(x + 2) = 3
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0 1
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2 years ago
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