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Vitek1552 [10]
2 years ago
12

In the figure shown, lines k and l are parallel.

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Amy's claim is correct because each pair of the angles are supplementary. That is, sum up to 180°

<h3>Calculating angles </h3>

From the question, we are to determine if Amy's claims are correct

From the given information,

Amy claims that

m∠4 + m∠5 = m∠10 + m∠9

In the diagram, we can observe that

m∠4 + m∠5 = 180°

This is because the pair of interior angles on the same side of the transversal are supplementary. That is, sum up to 180°

Also,

m∠10 + m∠9 = 180° (<em>Sum of angles on a straight line</em>)

Since each pair of angles are supplementary,

∴ m∠4 + m∠5 = m∠10 + m∠9

and

Hence, Amy's claim is correct

Learn more on Calculating angles here: brainly.com/question/24607467

#SPJ1

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⅖ = ½ x<br> Explain your reasoning
fomenos

x = 4/5

2/5=1/2x

Step 1: Flip the equation.

1/2x=2/5

Step 2: Multiply both sides by 2.

2*(1/2x)=2*(2/5)x=4/5

4 0
2 years ago
Find area of a quadrant of a circle whose radius is 3.5 cm.
kati45 [8]

Area of full circle= πr^2

Area of a quadrant= πr^2/4

=(3.5)^2π/4

=12.25π/4

=3.06πcm squared.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%28y%20-%209%29%20%3D%2030" id="TexFormula1" title="3(y - 9) = 30" alt="3(y - 9) = 30" align=
Ira Lisetskai [31]

Answer:

y=19

Step-by-step explanation:

3(y - 9) = 30

3y - 27 = 30

       3y = 30 + 27

       3y = 57

         y = 19

brainliest?

4 0
3 years ago
In ΔABC , angle C is a right angle.
guajiro [1.7K]

Answer:  Choice A. sin(A) = cos(B)

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

Explanation:

The rule is that sin(A) = cos(B) if and only if A+B = 90.

Note how

  • sin(A) = opposite/hypotenuse = BC/AB
  • cos(B) = adjacent/hypotenuse = BC/AB

Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).

In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.

The side lengths can be anything you want, as long as you're dealing with a right triangle.

3 0
3 years ago
Find the equivalent exponential expression.<br> [(-4)^3]^2
Karolina [17]

Answer:

4096

Step-by-step explanation:

<em><u>Simplify:</u></em>

=((−4)3)2

=((−4)3)*((−4)3)

=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))

=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)

=(−4)6

<em><u>Step by Step:</u></em>

<u><em>((−4)3)2 </em></u>

<u><em>=(−64)2 </em></u>

<u><em>=4096</em></u>

<u><em /></u>

Answer: 4096

<em><u>Hope this helps.</u></em>

4 0
3 years ago
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