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hammer [34]
3 years ago
13

X Angle 1 and Angle 2 are supplementary, Solve for x if angle 1 = 2x -3 and/3

Mathematics
1 answer:
Alona [7]3 years ago
5 0

9514 1404 393

Answer:

  ∠1 = 67°; ∠2 = 113°

Step-by-step explanation:

<u>Given</u>:

  ∠1 = 2x-3

  ∠2 = 3x +8

  ∠1 +∠2 = 180

<u>Find</u>:

  ∠1, ∠2

<u>Solution</u>:

Substituting the first two relations into the third, we have ...

  (2x -3) +(3x +8) = 180

  5x +5 = 180 . . . eliminate parentheses

  x + 1 = 36 . . . . . divide by 5

  x = 35

Then the angles are ...

  ∠1 = 2x-3 = 2(35) -3

  ∠1 = 67°

  ∠2 = 3x +8 = 3(35) +8

  ∠2 = 113°

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Three times a number increased by 8 is no more than the number decreased by 4. Find the number ( please write and solve inequali
Alexandra [31]

Three times a number =   3x

Increased by 8 =               + 8

So far we have:  3x + 8

no more than =    <=  

the number decreased by 4 =  x -4

Put it all together and we have:

3x + 8 <= x - 4

Solve for x

3x + 8 <= x - 4

3x - x <= -4 - 8

2x <= -12

2x / 2 <= -12 / 2

x <= -6

-6 is the number / answer.


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4 years ago
The telephone company offers two billing plans for local calls. Plan 1 charges ​$ per month for unlimited calls and Plan 2 charg
vazorg [7]
Mark brainliest pls :)

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1 year ago
Acellus help slope intercept
Serjik [45]

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

m=\frac{y_2-y_1}{x_2-x_1}   ---> Rise Over Run

<em>But how are we gonna calculate if we don't have any two given ordered pairs?</em>

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - y=mx+b

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

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3 0
3 years ago
Plz Help if possible
MrRa [10]

Answer:

2x + y = 2.

Step-by-step explanation:

First  find the slope of the required line by writing the line 2x + y = -5 in slope intercept form:

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Converting to standard form:

y = -2x + 2

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3 0
3 years ago
State the value of the expression<br> (4.1 × 10^2)(2,4 × 10^3) over (1.5 × 10^7)
Gekata [30.6K]
\frac{(4.1\cdot10^2)(2.4\cdot10^3)}{1.5\cdot10^7}=\frac{4.1\cdot2.4}{1.5}\cdot10^{2+3-7}=6.56\cdot10^{-2}=0.0656
5 0
3 years ago
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