simplify using laws of exponents. Write your asnwer using positive exponents​

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is [tex]\frac{360-72}{2} =144[/tex].

The formula to find the interior angle of a polygon is [tex]\frac{180(n-2)}{n}[/tex]

[tex]\frac{180(n-2)}{n} =144[/tex]

Multiply both sides by n:

[tex]\frac{180\left(n-2\right)}{n}n=144n[/tex]

[tex]180\left(n-2\right)=144n[/tex]

Expand:

[tex]180n-360=144n[/tex]

Add 360 to both sides:

[tex]180n-360+360=144n+360[/tex]

[tex]180n=144n+360[/tex]

Subtract 144n from both sides:

[tex]180n-144n=144n+360-144n[/tex]

[tex]36n=360[/tex]

Divide both sides by 36:

[tex]\frac{36n}{36}=\frac{360}{36}[/tex]

[tex]n=10[/tex]

The value of x in the triangle is approximately 7.2 to the nearest tenth.

To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).

We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

tan(46°) = x/7

Take the tangent of both sides of the equation:

tan(46°) = x/7

Multiply both sides by 7 to isolate x:

7 x tan(46°) = x

Use a calculator to find the tangent of 46 degrees:

tan(46°) ≈ 1.0355

Multiply 7 by the approximate value of the tangent:

7 x 1.0355 ≈ 7.249

Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.

Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.

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The value of x to the nearest tenth is approximately 5.0.

To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.

Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.

sin(A) = C / B

sin(46°) = x / 7

To find the value of x, we can rearrange the equation:

x = 7 * sin(46°)

Using a calculator, we can evaluate sin(46°) and calculate the value of x:

x ≈ 7 * 0.7193

x ≈ 5.0351

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Answer:

Step-by-step explanation:

A and B are same side interior angles and hence supplementary:

Substitute values and solve for x:

Find the measure of ∠A:

Answer:

-2

Step-by-step explanation:

Gradient/slope =  [tex]\frac{-1-19}{16-6} = \frac{-20}{10} = -2[/tex]

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

Answer:

f(-2) = -17

Step-by-step explanation:

All f(-2) means is to substitute x for -2. Therefore,

2(-2)^3 - (-2)^2 + 3

2(-8) - 4 + 3

-16 - 1

-17

Answer:

D 0.00000256

Step-by-step explanation:

[tex]5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256[/tex]

Answer:

B. 0.000256

Step-by-step explanation:

5^28 . 5^- 32 . 5^ -4

= 5^( 28 - 32 - 4 )

= 5^( 28 - 36 )

= 5^- 8

= 1 / 5^8

= 1 / 390625

= 0.000256

Answer: The answer to this question is measure of angle DGE = 1/2 (measure of arc DGE - measure of arc DE).

Step-by-step explanation:

The formula for an angle outside of the arc can be written as measure of angle x is equal to the larger arc starting from the ends of the segments forming x subtracted to the smaller arc starting from the ends of the segments forming x divided by 2.

Answer:

Undefined

Step-by-step explanation:

Gradient/slope = [tex]\frac{8-3}{2-2} = \frac{5}{0}[/tex] (change in y / change in x) = Undefine

Answer:

The function has two unequal, complex roots

Step-by-step explanation:

Because the discriminant is negative, the function has two unequal, complex roots.

Answer:

here is a link

Step-by-step explanation:

https://socratic.org/questions/the-volume-of-a-rectangular-prism-is-3x-3-34x-2-72x-64-if-the-height-is-x-4-what#374628

Answer:

$89.26

Step-by-step explanation:

Before Tax Price: $84.21

Sale Tax: 6.00% or $5.05

After Tax Price: $89.26

Answer:

3

Step-by-step explanation:

Answer:

this is quite easy. just count the markings that are not in the 1 ounce or 2 ounce sections. in this problem, there are 5 bottles in total and 2 of them are either in the 1 ounce or 2 ounce section. this leaves 3 bottles. (also make sure you count the ones above and below the areas specified)

Answer:

3 root 2, a

Step-by-step explanation:

goodluck on your test

2 1/3 Lego planes every 40 minutes

Answer:

10 lbs

Step-by-step explanation:

7 qts x 5 qts  = 35 qts broth

2 lbs x 5 lbs = 10 lbs barley

Answer:

3/70

Step-by-step explanation:

P(R,B) no replacement:  3/21 x 6/20 = 1/7 x 3/10 or 3/70 reduced

Answer:

If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.

Answer:

23y

Step-by-step explanation:

3y² + 14y

9y + 14y

23y

Answer: (3y+2)(y+4)

Step-by-step explanation:

3y^2 +14y

This question would factor to:

(3y+2)(y+4)

Answer:

q = $0.05

e = $0.5

Step-by-step explanation:

13q = 0.65 equation 1

5q + 7e = $3.75   equation 2

in equation 1, divide both sides of the equation by 13

q = 0.65 / 13 = 0.05

Substitute for the value of q in equation 2

5(0.05) + 7e = 3.75

0.25 + 7e = 3.75

collect like terms

3,75 - 0.25 = 7e

3.5 = 7e

e = 0.5

Answer:

-9

Step-by-step explanation:

why not

Answer:

5x4x9=180  then 4 divided by 2 is 2 then 2x180 you get the answer

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

Triangle MNP is twice the size of triangle SRP. So 2(x+4)=5x-34.

Distribute: 2x+8=5x-34

Add 34 on both sides: 2x+42=5x

Subract 2x on both sides: 42=3x

Divide both sides by 3: 14=x

If x=14, then 5x-34

is 5(14)-34=70-34=36.

The perimeter of the triangle MNP is

MN+NP+PM.

MN is 36

NP is doubled the 22 because triangle MNP is twice the size of triangle MQS. So NP is 44.

PM is doubled the 25 because triangle MNP is twice the size of triangle QNR. So PM is 50.

The perimeter of the triangle MNP is

MN+NP+PM

=36+44+50

=130

Answer:

d

Step-by-step explanation:

d

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