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PSYCHO15rus [73]
3 years ago
9

Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right a

ngle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4.
What is the value of q?

4 StartRoot 5 EndRoot
2 StartRoot 14 EndRoot
20 StartRoot 5 EndRoot
64 StartRoot 5 EndRoot
Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0

Answer:

2 StartRoot 14 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem :

The hypotenus = 10 + 4 = 14

Leg 1 = q

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

14 / q = q / 4

Cross multiply :

q * q = 14 * 4

q² = 56

q = √56

√56 = √4 * √14 = 2√14

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What could you do to the equation 100x + 300 = 500 to change it into x + 3 = 5?
VashaNatasha [74]

Answer:

2+3=5

Step-by-step explanation:

100x + 300 = 500

100x = 500 - 300

100× = 200

100x/100 = 200/100

therefore ^x = 2

x + 3 = 5

2 + 3 = 5

5 0
3 years ago
The total money y Aaron earned mowing x lawns is showns by the equation y= 15x+25. What does the slope represent?
prohojiy [21]
It's the amount of money that he earns for every lawn.
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What is the range of the following function? {(6, -1), (4, 0), (4, 4), (7, 9)}
Nookie1986 [14]

Answer:

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8 0
3 years ago
Does 2, 5, and 7 make a right triangle
MakcuM [25]

Answer:  No, we don't have a right triangle

==========================================================

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

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29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.

------------

In contrast, consider the classic 3-4-5 right triangle

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6 0
3 years ago
Please help me I have been stuck for a while
tatyana61 [14]

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∛49.

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