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yanalaym [24]
3 years ago
11

What is the value of x?

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0

These are vertical angles, so they are equal in measurements.

First, simplify [2(x + 10)]

Distribute 2 to all terms within the parenthesis

2(x + 10) = 2x + 20

Next, place both expressions equal to each other

2x + 20 = 3x - 30

Solve for x. Isolate the variable. Subtract 3x and 20 from both sides

2x (-3x) + 20 (-20) = 3x (-3x) - 30 (-20)

2x - 3x = -30 - 20

Simplify

-x = -50

Isolate the x. Divide -1 from both sides

-x/-1 = -50/-1

x = 50

50 is your answer for x

hope this helps

nignag [31]3 years ago
6 0

So these two angles are <em>vertical angles</em>, which are two angles across from each other that are formed by two lines intersecting. <u>Vertical Angles are also congruent to each other.</u>

With this information, we can set up the equation as 2(x+10)=3x-30 . From here we can solve for x.

Firstly, foil 2(x + 10): 2x+20=3x-30

Next, subtract 2x on both sides of the equation: 20=x-30

Lastly, add 30 to both sides of the equation and <u>your answer will be 50=x</u>

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postnew [5]

Answer:

1/8

Step-by-step explanation:

1st day......1/3

2nd day....1/6

3rd day....3/8

common denominator of 24

1/3 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24 (this is water used)

that means that : (24/24 - 21/24) = 3/24 reduces to 1/8 .....water in the tank

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3 years ago
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the r
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Answer:

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

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− x^ 2 + 10 x + 7 so the answer is B.





                                                    hope it helps

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