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2 years ago

Find the measure of the indicated angle.

Mathematics

1 answer:

IgorC [24]2 years ago

5 0

Answer:

D=E (Base angle of isosceles triangle are equal)

D+E+F= 180° (sum of angles of a triangle️)

(4x+7)+(4x+7)+(5x+10) = 180

13x = 180- 24

x= 156/13 = 12°

so, E= 4x+7 = 4×12+7 = 55

Hope this helps:)

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Step-by-step explanation:

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3 years ago

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Simplify the expression. Write your answer as a power. (−5/7)^8⋅(−5/7)^9

dem82 [27]

Answer: $(-\frac{5}{7})^{17}$

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

$(b^a)(b^c)=b^{(a+c)$

Where b is the base and a and c are exponents.

Then simplify it by rewriting the base ( $-\frac{5}{7}$ ) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

$(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}$

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4 years ago

The power law states that (b^n)^m=b^n*m

mel-nik [20]

Answer:

256 ; 81

Step-by-step explanation:

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4 years ago

A collection of 33 coins having dimes quarters and nickels, there are 3 times more nickels then dimes and half the amount of dim

zloy xaker [14]

Answer:

Each coins are quarters of 6, nickels of 18 and the dimes of 9.

Step-by-step explanation:

There is a mistake in question.

The question must be:

A collection of 33 coins having dimes quarters and nickels, there are 3 times as many nickels as quarters, and one-half as many dimes as nickels, all of the coins equal $3.30 how many coins of each kind are there?

Now, to find the number coins of each.

Let the quarters be $x$ .

Nickels be $3x$ .

And the dimes be $\frac{3x}{2}$ .

So, the total collection of coins are:

$x+3x+\frac{3x}{2} =33.$

On adding the fractions we get:

$\frac{2x+6x+3x}{2} =33$

$\frac{11x}{2} =33$

Multiplying both sides by 2 we get:

$11x=66$

Dividing both sides by 11 we get:

$x=6.$

Thus, quarters = 6.

Nickels = $3x=3\times 6=18.$

Dimes = $\frac{3x}{2} =\frac{3\times 6}{2} =\frac{18}{2}=9 .$

Therefore, each coins are quarters of 6, nickels of 18 and the dimes of 9.

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3 years ago