I WILL AWARD BRAINLIEST!! PLEASE HELP!!


Given: AC = AB, CD = DE

m∠ABC = 70°, m∠ ECB = 35°


Prove: DE ║BC



m∠ACB = m∠______, By reason ( Base angles theorem, Exterior Angle theorem, Supplementary angles, Vertical Angles theorem ) - choose one

Answers

Answer 1

Answer:

a)[tex]\angle ACB = \angle ABC[/tex] By Base angle theorem

b)DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles

Step-by-step explanation:

Given: AC = AB, CD = DE

∠ABC = 70°, m∠ ECB = 35°

Refer the attached figure

AB = AC

So, By Base angle theorem : if the sides of a triangle are congruent then the angles opposite these sides are congruent.

So, [tex]\angle ACB = \angle ABC[/tex]

So,[tex]\angle ACB = \angle ABC =70^{\circ[/tex]      ----1

CD = DE

So, by Base theorem

[tex]\angle DCE = \angle DEC[/tex]

Let [tex]\angle DCE[/tex]  be x

So,[tex]\angle DCE = \angle DEC[/tex]

[tex]\angle ACB= \angle DCE+\angle ECB = x+35[/tex]

Using 1

70 = x+35

35=x

[tex]\angle DCE = \angle DEC =35^{\circ}[/tex]

Now[tex]\angle DEC=\angle ECB=35^{\circ}[/tex]

So, DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles

I WILL AWARD BRAINLIEST!! PLEASE HELP!!Given: AC = AB, CD = DEmABC = 70, M ECB = 35 Prove: DE BC MACB

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Answers

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What is an expression in one variable?

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Given that number of feet in one fence section be x

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Cost of fencing 8x feet = 8x * 6.50

Therefore , the total cost of the fencing can be given by = 8x*6.50

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Thus, the expression for the total cost of fencing is $52x

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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