Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.

Answer:

A = 35
B = 100
C = 25

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.
x + 65 + x + 25 = 180
2x + 110 = 180
2x = 70
x = 35

Answer (1):

A=45 B=110

Step-by-step explanation (1):

So the inner degrees has to equal 180.  So you would do this:

[tex](x+65)+x+25=180\\2x+90=180\\2x=90\\x=45[/tex]

Now substitute 45 for x and check.

[tex]45+65=110\\110+45+25= < ABC\\180= < ABC[/tex]

Answer (2):

126 degrees.

Step-by-step (2):

Like I said before, the inner degrees has to equal 180.  We would write another equation.  By the way, the red square is for 90 degrees.

[tex](5x-6)+3x+90=180\\8x+84=180\\96=8x\\x=12[/tex]

Now substitute 12 for x.

Also to find the anterior angle, we would add the 90 and the 3x[tex]3(12)=36\\90+36=126\\126+(5x-6)=180\\120+5x=180\\180=180[/tex]

Answer:

75.2

Step-by-step explanation:

You first multiply 7.72 by 10, which is equal to 77.2. Now it's basic math; subtract 77.2 and 2, it equals to 75.2.

Answer:

0.0772

Step-by-step explanation:

After 6 years Carmen has received $6,554.52 in dividends.

Given that  Carmen buys 153 shares of cash consolidated banks each of which pays a constant yearly dividend of $7.14.

The dividend policy in which the percentage of earnings paid in the form of dividends is held constant

The yearly dividend of $7.14 for Carmen buys 153 is given by

153 shares x $7.14 = $1,092.42

Therefore for has carmen received in dividends $1,092.42.

Therefore for 6 years, he received

$1,092.42 x 6 = $6,554.52

Therefore, after 6 years Carmen has received $6,554.52 in dividends.

To learn more about the shares visit:

https://brainly.com/question/25818989

Answer:

B is the answer Hope this helps

Answer:

x=1.082682

Step-by-step explanation:

Answer:

  (1/2, -8 1/2)

Step-by-step explanation:

The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...

  (A' -C) = 3(A -C)

__

Solving for C gives ...

  A' -C = 3A -3C

  2C = 3A -A' . . . . . . . add 3C-A'

  C = (3A -A')/2

Filling in the given coordinates for A and A', we find the center of enlargement to be ...

  C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2

  C = (1/2, -8 1/2)

The center of enlargement is (1/2, -8 1/2).

Answer:

4. 309.76π

5. 2500/π

Question 4

Step 1. Find radius

D = 2r

r = D/2

r = 35.2/2 = 17.6 cm

Step 2. Find area

A = πr²

A = π(17.6)²

A = 309.76π ≈ 973.14 cm²

Question 5

Step 1. Find radius

C = 2πr

r = C/2π

r = 100/2π = 50/π ≈ 15.92 m

Step 2. Find area

A = πr²

A = π(50/π)²

A = π(2500/π²)

A = 2500/π ≈ 795.77 m²

I hope this helps!

Question 4

Step 1. Find radius

D = 2r

r = D/2

r = 35.2/2 = 17.6 cm

Step 2. Find area

A = πr²

A = π(17.6)²

A = 309.76π ≈ 973.14 cm²

Question 5

Step 1. Find radius

C = 2πr

r = C/2π

r = 100/2π = 50/π ≈ 15.92 m

Step 2. Find area

A = πr²

A = π(50/π)²

A = π(2500/π²)

A = 2500/π ≈ 795.77 m²

i think these are right i hope this helped if not im sorry

Answer:

x=2

Step-by-step explanation:

hope this helps

not sure if im right <3

V≈33.51

Hope it helps.

Do comment if you have any query.

Answer:

I got 84% increase

Step-by-step explanation:

Subtract final value minus starting value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get percent increase

We start with 90,500

to get 10% we multiply it by .10

90,500 * .10 =

9050

Answer:

D

Step-by-step explanation:

Answer:

Check the attachment of solution.

Answer:

Step-by-step explanation:

Proving the triangles are similar

Taking the sides in proportion

Answer:

a

Step-by-step explanation:

Answer:the answer is A 5x5=25

Step-by-step explanation:

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Answer:

[tex] \: [/tex]

Step-by-step explanation:

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

Answer: Below

Step-by-step explanation:

So let's actually make a readable expression first.

[tex]\frac{8\sqrt{3} }{\sqrt{5} }[/tex]

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

[tex]\frac{8\sqrt{3} }{\sqrt{5} } * \frac{\sqrt{5} }{\sqrt{5} } = \frac{8\sqrt{3}\sqrt{5} }{5} = \frac{8\sqrt{15} }{5 }[/tex]

This is our simplified equation.

Answer:

300

Step-by-step explanation:

rounding to hundreds place means you look at the middle digit in this case. If the digit is 5 or greater, then you round your first digit up, but in this case the number (4) is less than 5, we round down. By rounding down we would get 300.

Answer:

Yes, because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.

The original figure will be enlarged by the dilation.

The image and the pre-image will be similar figures.

The corresponding angles of the figures will be congruent.

Dilation is the increase or decrease in the size of a figure by a scale factor k. Dilation produces similar shapes.

If k > 1, this is an enlargement, if k < 1, it is a reduction.

Trevor is dilating a figure on the coordinate plane by a scale factor of 9/5 (>1). Hence:

The original figure will be enlarged by the dilation.

The image and the pre-image will be similar figures.

The corresponding angles of the figures will be congruent.

Find out more on dilation at: https://brainly.com/question/10253650

Answer:

55 square inches.

Step-by-step explanation:

Total Area = area of the triangular roof + area of the rectangular wall

= 1/2 * 10 * 3 + 5 * 8

= 15 + 40

= 55..

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

Answer:

B. 57.87 kilometers

Step-by-step explanation:

Since Jason walked the trail 9 times, we multiply the length of the trail by the times he walked.

So, 6.43 x 9.

This is equal to 57.87.

Answer:

3.32

Step-by-step explanation:

[tex]4.7 ^2 = 22.09[/tex]

[tex]22.09/2 = 11.045[/tex]

then we can find the square root, [tex]\sqrt{11.045} = 3.32[/tex]

now we can check our answer:

[tex]a^2 + b^2 = c^2[/tex]

[tex]3.32^2 + 3.32^2 = 4.7^2[/tex]

[tex]11.0224 + 11.0224 = 22.0448[/tex]

and [tex]\sqrt{22.0448} = 4.6951[/tex] or 4.7

Answer:

4/663

Step-by-step explanation:

Since the first card is set aside after being drawn, this is dependent probability.
There are 4 kings in 1 deck of 52 cards.
Therefore the probability of choosing a king is 4/52 = 1/13.

But after choosing 1 card from the deck, there are now 51 cards in the deck. There are 4 queens in the deck of 51 cards. Therefore the probability of choosing a queen is 4/51.

To determine the probability of choosing both, multiply the 2 probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Answer:

1/13

Step-by-step explanation:

once you simplify and finish that is the simplified answer

[tex]\text{The two angles are supplementary, so their sum is~} 180^{\circ} \\\\m\angle A + m\angle B= 180^{\circ}\\\\\implies x+15+x-13 = 180\\\\\implies 2x +2 = 180\\\\\implies 2x = 180-2\\\\\implies 2x = 178\\\\\implies x = \dfrac{178}2\\\\\implies x = 89\\\\\text{Hence the measure of angle B is}~ \angle B = (89-13)^{\circ} = 76^{\circ}[/tex]

Answer:

3.90 sq cm

Step-by-step explanation:

[tex]A_{equilateral\: \triangle} = \frac{ \sqrt{3} }{4} \times {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(3)}^{2} \\ \\ = \frac{9 \sqrt{3} }{4} \\ \\ = 3.89711432 \: {cm}^{2} \\ \\ \approx \: 3.90 \: {cm}^{2} [/tex]

In the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

[tex]a+bi[/tex]

Here, (a) is the real part while (b) is the imaginary part.

The difference of two number is given as,

[tex]4-10i[/tex]

Compare it with the real number form, we get,

[tex]a=4\\b=-10[/tex]

Thus, in the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

Learn more about the complex number here;

https://brainly.com/question/2218826

Answer:

4 and then -10i

Step-by-step explanation:

Found correct in Edge.

Answer:

A. 73%

Step-by-step explanation:

There are altogether 100 small squares.

73 are shaded.

shaded portion = 73/100 = 73%

Answer:

V≈1649.34

this is the solution

V=πr2h

3=π·152·7

3≈1649.33614

[tex]\left(\sqrt[6]{2xy^5}\right)^7\\\\\\=\left[\left( 2xy^5\right)^\tfrac 16 \right]^7\\\\\\=\left(2xy^5\right)^{\tfrac 76}[/tex]