An angle measures 67.2º more than the measure of its complementary angle. What is the measure of each angle?

Applying the rule of exponent, the equivalent expression is: [tex]\mathbf{x^{45}y^5z^{20}}[/tex]

One of the rules of exponents is given as, [tex](xy)^m = (x^m)(y^m)[/tex].

Therefore, given:

(x9yz4)5

To find the equivalent expression, apply the rule of exponents as shown below:

[tex](x^9yz^4)^5 = (x^{9 \times 5})(y^5)(z^{4 \times 5})\\\\(x^9yz^4)^5 = x^{45}y^5z^{20\\\\[/tex]

Therefore, applying the rule of exponent, the equivalent expression is: [tex]\mathbf{x^{45}y^5z^{20}}[/tex]

Learn more about the rule of exponents on:

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Answer:

The area of the patio is 144 square inches

Step-by-step explanation:

A = l × w

A = 12 × 12

A = 144 in²

Answer:

A) Any straight line segment can be extended indefinitely.

C) A straight line segment can be drawn between any two points.

D) All right angles are equal.

Given that,

Natasha can hit a bullseye about 95% of the time

we've to find the number of throws will she

need in order for her to hit 76 bullseyes

for that, we'll divide 76 by 95%

[tex] \huge \rightarrow \: 76 \div \frac{95}{100} = \frac{76}{\frac{95}{100} } \\ [/tex]

[tex] \huge \rightarrow76 \times \frac{100}{95} [/tex]

[tex] \huge \rightarrow80[/tex]

Hence, she need 80 bullseye in order for her to hit 76 bullseyes

Answer:

Step-by-step explanation:

P(hit a bulleye) = 95% = 0.95

P(hit 2x bulleyes) = 0.95*0.95

P(hit 76x bulleyes) = 0.95^76

= 0.02

So she will hit 76 bulleyes on average every 1/0.02 = 50 times.

Total number of throws = 50 x  76

= 3800

Answer:

because it hasn't fallen yet

Step-by-step explanation:

I got commen since

Answer:

360°=3x+2x+2x+x

360°=8x

x = 45°

......

Using the combination formula, it is found that there are 129 different combinations.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, combinations of 1, 2 or 3 pieces from a set of 9 are taken, hence:

[tex]C_{9,1} = \frac{9!}{1!8!} = 9[/tex]

[tex]C_{9,2} = \frac{9!}{2!7!} = 36[/tex]

[tex]C_{9,3} = \frac{9!}{3!6!} = 84[/tex]

Then, the total is of:
T = 9 + 36 + 84 = 129.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

11

Step-by-step explanation:

The pattern is the number minus 7. The next numbers after 11 would be 4, -3, -10 and so on.

Answer: the bottle of apple juice is 88% water

Answer:

In explanation

Step-by-step explanation:

Ummm... could there maybe be a picture but let me see let me try to guess.

You could turn this problem into a fraction.

Is the water 10% of the apple juice=1/10

If the water was 1/3 it would=33.333%

If it were 1/4 it would be 25%

if it were 1/5 it would be 20%

If it was 75% water it would be 3/4 or 50% is half of something so like 3/6

9/18 15/30 or more.

Is there a picture I could see to help you in comment s or something i can use to answer or does one of the answers above tell you something.

Hope this helps and remember show me more of the question please so  can help you have a great day

Answer:

192 servings in two gallons

Step-by-step explanation:

16 cups= 1 gallon

32 cups= 2 gallons

find the unit rate

1 cup: __ servings

4:24

divide by 4

1:6

multiply by 32

=32:192

192 servings

please provide more informstion and the question that needs to be solved.

Answer:

x=2

Step-by-step explanation:

7-5=x

7-5=2

Answer:

Solution

or, X= 7-5

or, X=2

Your answer is 2.

I think it will help you.

Answer:

x = 14.57

explanation:

[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

[tex]\hookrightarrow \sf cos(31)= \dfrac{x}{17}[/tex]

[tex]\hookrightarrow \sf 17*cos(31)= x[/tex]

[tex]\hookrightarrow \sf x = 14.57[/tex]

Answer:

x = 14.6 (nearest tenth)

Step-by-step explanation:

Use the cosine trig ratio:

[tex]\mathsf{\cos(\theta)=\dfrac{A}{H}}[/tex]

where:

Given:

[tex]\implies \mathsf{\cos(31)=\dfrac{x}{17}}[/tex]

[tex]\implies \mathsf{x=17\cos(31)}[/tex]

[tex]\implies \mathsf{x=14.6 \ (nearest \ tenth)}[/tex]

Answer:

x =x

Step-by-step explanation:

step 1 you can not identify an unknown variable therefore you leave it like that

Answer:

[tex]62.8 = 3.14 \times x \\ x = \frac{62.8}{3.14} \\ = 20[/tex]

Answer: t=p

Step-by-step explanation:

t=P

Because if is true

Answer:

B, between 1 and 3 seconds.

Step-by-step explanation:

This is because the line is horizontal, and no changes were made, meaning she stopped walking.

Hope this helped.

Answer:

3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)

4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2

5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)

6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)

7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary

8. m∠2 = 64° ~ again, same side exterior angle theorem

Answer:

Let c be the common factor between Jill and Kelly’s money. Then:

4n-156 / 5n-156=8/11

So:

44n-1716=40n-1248

4n=468

n=117

Jill had 4n, or $468 to begin with

Kelly had 5n, or $585 to begin with ………..

Answer:

Step-by-step explanation:

x=Jill's money

y=Kelly's money

x/y=4/5

(x-156)/(y-156)=8/11

x/y=4/5 -------->5x=4y --------->y=5x/4

cross multiply with the above proportion

11(x-156)=8(y-156)

11x-1716=8y-1248

substitute y=5x/4

11x-1716=8(5x/4)-1248

11x-1716=10x-1248

11x-10x=1716-1248

x=$468 for Jill  (answer)

x/y=4/5

468/y=4/5

multiply 4 by 117 to get 468

multiply 5 by 117 to get 585

y=$585 for Kelly (answer)   (or cross multiply to find y)

Answer:

8 1/7 because you have to get the same denominator as the other and that would be 14. Whatever number I got for the numerator you subtract it both and you get 107/14, and that simplified is 57/7, and as a proper fraction that is 8 1/7

X=32

A HOPE IT HELP:)

WHEN IF I'M WRONG,CORRECT MY ANSWER:)

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

Just divide the total money she has spent by the number of weeks.

$125/5 = $25

Answer:

[tex]2\frac{1}{3}[/tex]

Step-by-step explanation:

The improper fraction was 7/3 put that into a mixed number it it 2 1/3.

Answer:

Six.

Step-by-step explanation:

6×2.65 we can round to 6×2.5=$15 the next smallest ans is 12, 12 is double of 6 so the ans would be double (30), 30 is a lot larger than 20 so we can safely assume that 6 is correct.

Answer:

Leo is 24

Mark is 8

Answer:

B = (4, 0)

Step-by-step explanation:

We are told that  [tex]l_2[/tex]  intersects the x-axis at B.

To determine where  [tex]l_2[/tex]  intersects the x-axis, set y to zero in the [tex]l_2[/tex]  equation and solve for x:

[tex]\implies 0+x=4[/tex]

[tex]\implies x=4[/tex]

Therefore, B is (4, 0)

Answer:

(4,0)

Step-by-step explanation:

coordinate B lies on the equation y + x = 4

y = 0 and x is unknown, so putting this in the equation:

y + x = 4

0 + x = 4

x = 4

Answer:

x= 68 degrees

Step-by-step explanation: