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Sever21 [200]
2 years ago
15

Find the measure of each angle if c||d show work

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

Part a) <1=72°

Part b) <2=108°

Part c) <3=72°

Part d) <4=108°

Step-by-step explanation:

step 1

Find the measure of angle 1

we know that

<1+108°=180° -----> by supplementary angles

so

<1=180°-108°=72°

step 2

Find the measure angle 2

we know that

<2=108° -----> by corresponding angles

step 3

Find the measure angle 3

we know that

<3=<1-----> by corresponding angles

so

<3=72°

step 4

Find the measure angle 4

we know that

<4=108° -----> by alternate exterior angles

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The school basketball team won the game. The finals score was a two digit number. The digit in the tens place was the number tha
8_murik_8 [283]

Answer:

1? Because its the only number beetween 2 and 0.

5 0
3 years ago
Slove by using elimination <br> 3x+7y=27 <br> -3x+y=21
tankabanditka [31]

Answer:

x = -5

y = 6

Step-by-step explanation:

3x + 7y = 27      --------------(I)

-3x + y = 21        -----------(II)

Add equation (I) & (II) and so x will be eliminated and we can find the value of y.

(I)      3x + 7y = 27    

(II)    <u> -3x + y = 21  </u>      {add}

                8y = 48

                   y = 48/8

                   y = 6

Plugin y = 6 in equation (I)

3x +7*6 = 27

3x + 42 = 27

       3x = 27 - 42

       3x = -15

         x = -15/3

x = -5

8 0
3 years ago
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
3 years ago
Read 2 more answers
The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean tempera
Bond [772]

Answer:

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Step-by-step explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e  mean  μ = 42

The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

\mathbf{H_o : \mu  = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule:  is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

4 0
3 years ago
What is the surface area of the box if it is scaled up by the factor of 10 and the surface area is 16in
algol [13]
If each linear dimension is scaled by a factor of 10, then the area is scaled by a factor of 100. This is because 10^2 = 10*10 = 100. Consider a 3x3 square with area of 9. If we scaled the square by a linear factor of 10 then it's now a 30x30 square with area 900. The ratio of those two areas is 900/9 = 100. This example shows how the area is 100 times larger.

Going back to the problem at hand, we have the initial surface area of 16 square inches. The box is scaled up so that each dimension is 10 times larger, so the new surface area is 100 times what it used to be

New surface area = 100*(old surface area)
new surface area = 100*16
new surface area = 1600

Final Answer: 1600 square inches

3 0
3 years ago
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