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igor_vitrenko [27]
1 year ago
15

(d) If mZABD=60°, and point C is in the interior of ABD, then mZABC=40° and m/CBD=20°. Counterexample: m ZABC = [], m2 CBD = "

Mathematics
1 answer:
DENIUS [597]1 year ago
5 0

The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.

Point C is the interior of ABD.

The measure of angle ABD is 60°.

The measure of angle ABC is 40°.

The measure of angle CBD is 20°.

Now when we add the angle ABC and CBD:

∠ ABC + ∠ CBD = 40° + 20°

∠ ABC + ∠ CBD = 60°

∠ ABC + ∠ CBD = ∠ ABD

The counter-example will be:

∠ ABD = ∠ ABC + ∠ CBD

60° = 35° + 25°

Therefore,

∠ ABC = 35° and ∠ CBD = 25°

Learn more about angle here:

brainly.com/question/22323626

#SPJ9

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450 is 75% of what number. show ur work
alex41 [277]
Let N is the number

75% x N = 450
75/100 x N = 450
75N = 450 x 100
N = (450 x 100)/75
N = 600

So, the number is 600.
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Denise is using a ladder to clean the outside of her second story windows. The ladder she is using is 24 feet long, and she puts
agasfer [191]
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5 0
2 years ago
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3. triangle abc has angle measures as shown (look at image).
mart [117]

Answer:

x = 6, ∠B = 50°

Step-by-step explanation:

a) 8x + 2 + 70 + 60 = 180

8x + 132 = 180

8x = 180 - 132 = 48

x = 48/8 = 6

b) ∠B = 180 - 70 - 60 = 50°

or 8x + 2 = 8*6 + 2 = 50°

3 0
2 years ago
christen has to run around the rectangle soccer field during practice. The soccer field measures 60 meters long by 45 meters wid
Elena L [17]

Answer:

210 m

Step-by-step explanation:

Perimeter is the distance around the outside of a two-dimensional shape.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

Christen ran around the soccer field, so she ran around the perimeter.

We can find the perimeter by adding all of the side lengths.

Perimeter=60 m+45 m+60 m+45 m

Christen ran 210m.

7 0
3 years ago
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