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3 years ago

Each exterior angle of a regular decagon has a measure of (3x + 6)". What is the value of x?

Mathematics

2 answers:

Oxana [17]3 years ago

7 0

Answer:

B = 10

Step-by-step explanation:

Just took test edg 2020

dedylja [7]3 years ago

4 0

Answer:10

Step-by-step explanation:

Each exterior angle is (3x + 6)°

A decagon has 10 sides

Each exterior angle=360/n

n=number of sides

3x+6=360/10

Cross multiply

10(3x + 6)=360

30x+60=360

Collect like terms

30x=360-60

30x=300

Divide both sides by 30

30x/30=300/30

x=10

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A company produces refrigerators for beer kegs. The refrigerators are supposed to maintain a mean temperature of 43°F, ideal for

Deffense [45]

Answer:

C) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Options:

A) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually 43°F.

B) Reject the claim that the mean temperature is equal to 43°F when it is actually 43°F.

C) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

D) Reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Explanation:

The null hypothesis H0: µ=43°F (a true mean temperature maintained by refrigerator is equal to 43°)

The alternative hypothesis Ha: µ<>43 (a true mean temperature maintained by refrigerator is not equal to 43).

A type II error does not reject null hypothesis H0 when it is false. Therefore, the type II error for the test fails to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

3 0

3 years ago

How many solutions 2x+3y=-3 and 3x + 5y = -9

Sunny_sXe [5.5K]

Since the slopes of the two lines are the not equal, they will have only one solution. The solution will be a point and can be found using the method given below.

We can find the solutions by simultaneously solving the two equations.

From first equation, the value of y comes out to be:

$2x+3y=-3 \\ \\ 
3y=-3-2x \\ \\ 
y= \frac{-3-2x}{3}$

Using this value of y in second equation, we get:

$3x+5( \frac{-3-2x}{3} )=-9 \\ \\ 
9x-15-10x=-27 \\ \\ 
-x=-27+15 \\ \\ 
-x=-12 \\ \\ 
x=12$

Using this value of x, we can find y:

$y= \frac{-3-2x}{3}= \frac{-3-24}{3} =-9$

Therefore, there is only one solution to the given equations is which is (12, -9)

8 0

3 years ago

40 = 25 + x

RSB [31]

Answer:

True

Step-by-step explanation:

This is true. x + 25 equals 40 in both cases, so they're equal.

4 0

3 years ago

The edge of a cube measures 3.5 x 10 ^ -2 meters. What is the volume of the cube in cubic meters? WRITE Your ANSWERS IN SCIENTIF

Crank

The volume of given cube is: $4.29 * 10^{-5}$ cubic meters

Step-by-step explanation:

Volume of a cube is given by:

$V = a^3$

Given

Edge of the cube = $3.5*10^{-2}$

Putting the value of edge

$V = (3.5*10^{-2})^3\\V = 42.875 * (10^{-2})^3\\V = 42.9 * 10 ^{-2*3}\\V = 42.9 * 10^{-6}\\V = 4.29 * 10 * 10 ^{-6}\\V = 4.29 * 10^{-5}\ cubic\ meters$

The volume of given cube is: $4.29 * 10^{-5}$ cubic meters

Keywords: Volume, cube, scientific notation

Learn more about scientific notation at:

#LearnwithBrainly

7 0

3 years ago

Apply the zero product property to solve the equation below:<br> x (x + 2) = 0

True [87]

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

3 0

2 years ago