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2 years ago

Geometry: Write a formal proof, ASAP!!!

Mathematics

1 answer:

yulyashka [42]2 years ago

7 0

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

As we can see in the figure, lines m and n are parallel to each other. so we can apply Angle pair properties ~

So,

$\qquad \sf \dashrightarrow \: \angle1 \cong \angle2$

[ they form corresponding angle pair ]

and it's given that :

$\qquad \sf \dashrightarrow \: \angle2 \cong\angle 3$

therefore, by using above information. we can conclude that :

$\qquad \sf \dashrightarrow \: \angle1 \cong \angle3$

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Solve the following in-equations and graph the solution on the number line

OverLord2011 [107]

Answer:

Step-by-step explanation:

$\frac{x-4}{3}$ ≥ - 2

x - 4 ≥ - 6

x ≥ - 2

x ∈ [ - 2 , ∞ )

2 - 6x < 32

- 6x < 30

x > - 5

x ∈ ( - 5 , ∞ )

6 0

3 years ago

Please Help Solve 8 = 7/6 (b)

sukhopar [10]

B=48/7 you simplify 7/b(b) to 7b/6
Then multiply both sides by 6 so 8 x 6 =7b then simplify 8 x 6 =48
And divide both sides by 7 48\7 then switch sides b=48/7

4 0

3 years ago

This is a question about percent change help if you can pls!

Serhud [2]

Answer:

Step-by-step explanation:

$\Delta \% =100\left(\frac{final value-initial value}{initial value}\right)\\ \\ \Delta \% =100\left(\frac{2758526-2838233}{2838233}\approx -2.8\%$

4 0

3 years ago

Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL

Tems11 [23]

Answer:

Yes they are

Step-by-step explanation:

In the triangle JKL, the sides can be calculated as following:

J(2;5); K(1;1)

=> JK = $\sqrt{(1-2)^{2} + (1-5)^{2} } = \sqrt{(-1)^{2}+(-4)^{2} } = \sqrt{1+16}=\sqrt{17}$

J(2;5); L(5;2)

=> JL = $\sqrt{(5-2)^{2} + (2-5)^{2} } = \sqrt{3^{2}+(-3)^{2} } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}$

K(1;1); L(5;2)

=> KL = $\sqrt{(5-1)^{2} + (2-1)^{2} } = \sqrt{4^{2}+1^{2} } = \sqrt{1+16}=\sqrt{17}$

In the triangle QNP, the sides can be calculate as following:

Q(-4;4); N(-3;0)

=> QN = $\sqrt{[-3-(-4)]^{2} + (0-4)^{2} } = \sqrt{1^{2}+(-4)^{2} } = \sqrt{1+16}=\sqrt{17}$

Q (-4;4); P(-7;1)

=> QP = $\sqrt{[-7-(-4)]^{2} + (1-4)^{2} } = \sqrt{(-3)^{2}+(-3)^{2} } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}$

N(-3;0); P(-7;1)

=> NP = $\sqrt{[-7-(-3)]^{2} + (1-0)^{2} } = \sqrt{(-4)^{2}+1^{2} } = \sqrt{16+1}=\sqrt{17}$

It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP

=> They are congruent triangles

7 0

3 years ago

Read 2 more answers

Sam had monkeys and lions in his zoo, He counted legs one day to discover that he could see 76 feet on the ground. He knew that

cricket20 [7]

If he counts 76 feet, that means there’s 38 animals in total, because animals have 2 feet. 76/2=38

Hope that helps..!

5 0

3 years ago