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Shalnov [3]
1 year ago
12

Proving Vertical Angles Are Congruent

Mathematics
1 answer:
Nookie1986 [14]1 year ago
8 0

The angle ∠22 and angle ∠24 are congruent because they are vertically opposite angles.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

The statements are given below.

∠22 = ∠24 (vertically opposite angle)

∠22 + ∠23 = 180 (linear angle)

The diagram is given below.

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

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2.25 and 4.8 =10.8

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The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o
11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

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x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

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the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

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2 years ago
Find each square root
weqwewe [10]

Answer:

It actually gave you the answer.

Step-by-step explanation:

If you read closer, it's telling you the answer. It's giving you examples of radicals and such.

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Blababa [14]
D should be correct because you add all the boxes that’s inside the rectangle
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