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steposvetlana [31]

1 year ago

11

If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C

1 answer:

luda_lava [24]1 year ago

6 0

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

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antiseptic1488 [7]

I think 71 is B
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2 years ago

Simplify 6^7/6^5 in index form

Oksanka [162]

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ ⇔ $a^{(m-n)}$ , then

$\frac{6^{7} }{6^{5} }$

= $6^{(7-5)}$

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2 years ago

Read 2 more answers

what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

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2 years ago

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The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?

Makovka662 [10]

Answer:

7 times 5

35

divided by two

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times 3

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7 0

2 years ago

What's the answer to this? Or how do I figure it out?

trapecia [35]

B.) 14/43
1&2 =7+7
= 14
Bottam:
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= 43
Lastly
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6 0

2 years ago