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-Dominant- [34]
3 years ago
9

Tell whether the angles are adjacent or vertical. Then find the value of x.

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

x=44, They are adjacent

Step-by-step explanation:

since this is right angle it is 90 degrees. You set the whole thing equal to 90, so 43+x+3=90, add 43 and 3=46. Then you subtract 90-46, you get x=44.  

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Over the last three evenings, Raina received a total of 83 phone calls at the call center. The first evening, she received 7 mor
sveticcg [70]
We can model this situation.

Raina received a total of 83 calls
First evening she received 7 more than the third so let x = third and since we know she received 7 more we know to add 7 to the third so (x + 7)

Second evening she received 2 times as many as the third so 2 time third, which x is the third so (2 times x) or we could say 2x

Third evening = x

So now lets solve for x and then we can find how many she received each evening.

Our Model: (x + 7) + 2x + x = 83
(x + 7) + 2x + x = 83
x + 7 + 2x  + x = 83
x + 2x  + x + 7 = 83
4x + 7 = 83
4x + 7 - 7 = 83 -7
4x = 76
4x / 4 = 76 / 4
x = 19 

First evening:
19 + 7 = 26 calls
Second evening
2 times 19 = 38
Third evening
19

Check our answer:
26 + 38 + 19 = 83


7 0
3 years ago
1. what is the first step in solving this equation?
ratelena [41]

Answer:

parenthesis PEMDAS

Step-by-step explanation:

"(x-4)" B. divide by -5 on both sides.

7 0
3 years ago
Choose the justification for each step in the solution to the given equation.
Ilia_Sergeevich [38]

Answer:

addition property of equality, subtraction property of equality, simplified, division property of equality and simplified.

Step-by-step explanation:

7 0
3 years ago
Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
4 years ago
Which graphed line represents an equation of a line with a slope of -2 and a point of line of (-1, 2)
Advocard [28]

Answer:

D

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

4 0
2 years ago
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