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tia_tia [17]
2 years ago
15

I’m not to sure on how to find CEB can someone explain how to find it and what the answer would be,please

Mathematics
1 answer:
lakkis [162]2 years ago
5 0

Answer:

m∠CEB is 55°

Step-by-step explanation:

Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.

∠ADC = 110° because it is double of ∠ADE.

Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, <u>opposite angles have equal measures</u>.

∠ADC = ∠CBE = 110°

All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:

360° - 2(110°) = 2(∠DCB)

∠DCB = 140°/2

∠DCB = ∠BAD = 70°

∠DCB was bisected by EC, which makes each divided part half.

∠DCE = ∠BCE = (1/2)(∠DCB)

∠DCE = ∠BCE = (1/2)(70°)

∠DCE = ∠BCE = 35°

All triangles' angles sum to 180°.

In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.

∠CEB = 180° - (∠BCE + ∠CBE)

∠CEB = 180° - (35° + 110°)

∠CEB = 55°

Therefore m∠CEB is 55°.

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Please give me the correct answer.​
Elena L [17]

Answer:

-m + 6 = 3m + 14

Step-by-step explanation:

Given:

-(m - 6) = 3m + 14

Required:

Multiply (m - 6) by -1.

Solution:

To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.

Thus:

-1(m) -1(-6) = 3m + 14

The result would be:

-m + 6 = 3m + 14 (negative times negative = positive)

8 0
3 years ago
The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being expanded by x feet.
I am Lyosha [343]

Answer:

A) A= 10.5(12 +x)

B) A= 10.5x +126

Step-by-step explanation:

A) Length of living room= 12 ft

Width= 10.5 ft

Since the length expanded by x ft,

New length of living room= (12 +x) ft

Area= length ×width

Let the new area of the living room be A ft².

A= 10.5(12+x)

B) To expand the expression, multiply 10 to each term and constant in the bracket on the right hand side of the equation.

A= 10.5(12 +x)

A= 10.5(12) +10.5x

A= 126 +10.5x

3 0
2 years ago
Simplify this expression :<br> x•x•x^2
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Answer:

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Step-by-step explanation:

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Answer: 20

Step-by-step explanation:

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SpyIntel [72]

Answer:

The product is the difference of squares is $$\left(11-b\right)\left(11+b\right)=121-{{b}^2}$$

Step-by-step explanation:

Explanation

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$$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$$

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