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3 years ago

Given that ∠CEA is a right angle and bisects ∠CEA, which statement must be true?

Mathematics

2 answers:

loris [4]3 years ago

8 0

Given that ∠CEA is a right angle which has been bisected by BE, then:
∠CEB=∠BEA
thus each angle will be complementary to each other, hence the size will be:
90/2=45°
hence the correct statement.
m∠CEB = 45°

Elden [556K]3 years ago

4 0

Answer:

m∠CEB = 45° is true.

Step-by-step explanation:

We are given that,

∠CEA = 90° and BE bisects the ∠CEA.

Since, we know,

'When a line bisects an angle, it divides the angle into two equal parts'

So, we get,

∠CEB = ∠BEA = $\frac{90}{2}$ = 45°

So, from the options we see that,

Options A, B and D cannot be true. So, only option C is correct.

That is, m∠CEB = 45°

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torisob [31]

Answer:

90°

Step-by-step explanation:

All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.

Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.

You can solve using an equivalent. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.

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$\frac{25}{100}=\frac{x}{360}$

Solve for the central angle of lemonade by isolating 'x'. To isolate x, move 360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.

$\frac{25}{100}=\frac{x}{360}$

$360*\frac{25}{100}=360*\frac{x}{360}$ 360 cancels out on the right

$\frac{360*25}{100}=x$ Combined multiplication in numerator

$\frac{9000}{100}=x$ When dividing, 0s cancel out

$\frac{90}{1}=x$ Simplify fraction over 1

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Therefore the central angle in the Lemonade section is 90°.

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4 years ago

if in a triangle, measure of angle A is 71 degrees, measure of angle B is 42 degrees, and BC= 8, find AC to the nearest hundredt

olasank [31]

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