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Papessa [141]
2 years ago
14

URGENT!!! The figure below shows two triangles EFG and KLM:

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
7 0

Triangle EFG can also be proven to be a right triangle by using the following: D. Prove that KL is equal to c by Pythagorean Theorem.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean theorem states that the square of the longest side of a right triangle, which is the hypotenuse (c²) equals the sum of the squares of the other two legs of the right triangle (a² + b²).

If we apply the Pythagorean theorem, we would find the length of KL. If KL has the same length as c in triangle EFG, then we can say that triangle EFG is also a right triangle.

Therefore, the answer is: D. Prove that KL is equal to c by Pythagorean Theorem.

Learn more about the Pythagorean Theorem on:

brainly.com/question/343682

#SPJ1

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What is the value of x?<br> (9x - 3)<br> (6x)<br> 48°<br> Enter your answer in the box.<br> X=
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Answer:  x = 9

Step-by-step explanation:

The sum of three interior angles of a triangle is 180°.

(9x - 3)  + (6x)  + 48° = 180°

9x - 3 + 6x + 48 = 180

15x + 45 = 180

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x = 9

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Alright, to start, slope-intercept form is y=mx+b, where m is the rate is it going up/down by, and b is the starting point.

With this, the question says that Coraz started with 0 naxvips then purchased 10 each month afterwards.

From this, we can fill in the equation, using m as the rate it is going up/down and b as the starting point:

<h3>The Equation: </h3>

y=10x+0

Next, it wants a table, so let's use the equation created to do this. X is the amount of months that have gone by, deciding how many naxvips Coraz has purchased.

So, to start, lets plug in 0 months into the equation into x:

y=10(0)+0

y=0+0

y=0

The answer resulted in 0 for month 0, understandably. Month 0 was when it said Coraz had 0 naxvips on his farms. With this, it would be (0,0) for this part.

For the next month, same thing, just plug it in:

y=10(1)+0

y=10+0

y=10

The answer resulted in 10 for month 1. Month 1 was when it said Coraz purchased his first batch of 10 naxvips. With this, it would be (1,10) for this part.

Again, with 2 months

y=10(2)+0

y=10+0

y=20

The answer resulted in 20 for month 2. Month 2 was when he got another 10 naxvips. With this, it would be (2,10) for this part. However, see the pattern? For every month, there will be 10 more naxvips added. With this, we can write out the table for it as well:

<h3>The Table:</h3>

(X, Y)

0, 0

1, 10

2, 20

3, 30

4, 40

etc..

5 0
2 years ago
Point R is on line segment QS. Given QS= 5x-2, QR= 3x-6, and RS=4x-2, determine the numerical length of RS.
pashok25 [27]

Answer:

The numerical length of RS is 10 units

Step-by-step explanation:

* <em>Lets explain How to solve the problem</em>

- Point R is on line segment QS

- The length of QS is (5x - 2)

- The length of QR is (3x - 6)

- The length of RS is (4x - 2)

- <em>The length of QS is the sum of the lengths of QR and RS</em>

∵ QS = QR + RS

∴ (5x - 2) = (3x - 6) + (4x - 2)

- Simplify the right hand side by adding like terms

∴ 5x - 2 = (3x + 4x) + (-6 + -2)

∴ 5x - 2 = 7x + -8 ⇒ (+)(-) = (-)

∴ 5x - 2 = 7x - 8

- Add 8 for both sides

∴ 5x + 6 = 7x

- Subtract 5x from both sides

∴ 6 = 2x

- Divide both sides by 2

∴ x = 3

- <em>To find the length of RS substitute the value of x in its expression</em>

∵ RS = 4x - 2

∵ x = 3

∴ RS = 4(3) - 2 = 12 - 2 = 10

∴ The numerical length of RS is 10 units

8 0
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