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Finger [1]
2 years ago
7

Find the distance between the points (4,-2), (4,-5)

Mathematics
1 answer:
kiruha [24]2 years ago
6 0

\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~  (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3

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Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the s
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8 0
3 years ago
Abigail withdrew $15 from checking account. Write an integer to represent the situation.​
aleksandrvk [35]

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8 0
2 years ago
Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle,
Tamiku [17]

Answer:

<h3>\boxed{99°}</h3><h3 />

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

\mathrm{8x - 13 + 7x - 17 = 180} ( sum of angle in straight line )

Collect like terms

\mathrm{15x - 13 - 17 = 180}

Calculate

\mathrm{15x - 30 = 180}

Move constant to R.H.S and change its sign

\mathrm{15x = 180 + 30}

Calculate the sum

\mathrm{15x = 210}

Divide both sides of the equation by 15

\mathrm{ \frac{15x}{15}  =  \frac{210}{15} }

Calculate

\mathrm{x = 14}

Now, let's find the value of m<MON

\mathrm{8x - 13}

Plug the value of x

\mathrm{ = 8 \times 14 - 13}

Calculate the product

\mathrm{ = 112 - 13}

Calculate the difference

\mathrm{ = 99} °

Hope I helped!

Best regards!

6 0
2 years ago
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