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3 years ago

I NEED HELP PLEASE ! :)

Mathematics

1 answer:

defon3 years ago

7 0

A theorem called "inscribed angle theorem," states that angle θ is half of that of angle 2θ that subtends an identical arc on the circle.

So, ∠ABC = center angle * 1/2

The center angle is 192°, so substitute with that number and solve.

∠ABC = 192 * 1/2

∠ABC = 96°

Therefore, the answer is 96°

Best of Luck!

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In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD (∵Given)

∠ACB=∠CAD (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

$\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}$

Comparing first two, we get

⇒ $\frac{x}{27}=\frac{12}{x}$

⇒ $x^2=27\times 12$

⇒ $x=\sqrt324=18$

hence, the length of diagonal is 18 m

4 0

3 years ago

Use distributive property to evalúe 3(78) show all steps !

Semmy [17]

Answer: 234

Step-by-step explanation: 78 * 3 = 210 + 24 = 234

3 0

2 years ago

Solve for x. Enter your answer in the box. x =____°

Vlad1618 [11]

we know that

The sum of all interior angles in the polygon is equal to the formula

$(n-2)*180\°$

where

n is the number of sides of the polygon

In this problem we have

$n=6$

substitute the value in the formula

$(6-2)*180\°=720\°$

Find the value of x

$720\°=x\°+108\°+113\°+132\°+75\°+160\°\\720\°=x\°+588\°\\x\°=720\°-588\°\\x=132\°$

therefore

the answer is

the measure of x is $132\°$

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