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nexus9112 [7]
2 years ago
8

What is the value of x?

Mathematics
2 answers:
notsponge [240]2 years ago
4 0
The value of x is 13
salantis [7]2 years ago
3 0

Answer:

135°

Step-by-step explanation:

<em> </em><em> </em><em> </em><em> </em><em>here's</em><em> your</em><em> solution</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>we </em><em>know </em><em>that </em><em>,</em><em> </em><em>sum </em><em>of </em><em>all </em><em>angles </em><em>is </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>equal</em><em> </em><em>to </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em>

<em> </em><em> </em><em>=</em><em>></em><em> </em><em>hence </em><em>,</em><em>we </em><em>have </em><em>two </em><em>angles</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>1</em><em>s</em><em>t</em><em> </em><em>angle</em><em> </em><em>=</em><em> </em><em>4</em><em>5</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>2</em><em>n</em><em>d</em><em> </em><em>angle</em><em> </em><em>=</em><em> </em><em>9</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>8</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>adding</em><em> </em><em>both </em><em>angle </em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>4</em><em>5</em><em>°</em><em> </em><em>+</em><em> </em><em>9</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>8</em><em>°</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em> </em><em>6</em><em>3</em><em>°</em><em> </em><em>+</em><em> </em><em>9</em><em>x</em><em> </em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>9</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>6</em><em>3</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>9</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>7</em><em>°</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>x </em><em>=</em><em> </em><em>1</em><em>1</em><em>7</em><em>/</em><em>9</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>x </em><em>=</em><em> </em><em>1</em><em>3</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>hence</em><em>,</em><em> the</em><em> </em><em>required</em><em> </em><em>angle</em><em> </em><em>=</em><em> </em><em>(</em><em>1</em><em>3</em><em>*</em><em>7</em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em>8</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>angle </em><em>=</em><em> </em><em>1</em><em>3</em><em>5</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>

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Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

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b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

8 0
3 years ago
Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual inco
Margarita [4]

Answer:

The answer to the question is

She invested

Php2700.00 at 8 % and

Php 20,400.00 at 11 %

Step-by-step explanation:

To solve the question we note that

Simple interest is given by \frac{P*R*T}{100} where

P= Principal, R = Rate and T = Time

If we call the first part P₁, T₁,  and R₁ and the second part

P₂, T₂,  and R₂

Then {P_1*(1+R_1*T_1}) +{P_*(1+R_2*T_2})  = 2460.00

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2244÷0.11 = P₂ or P₂ = Php 20,400.00

That is she invested

Php2700.00 at 8 % and

Php 20,400.00 at 11 %

5 0
3 years ago
Use a composite figure to estimate the area of the figure.
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An equation is shown below:
IrinaK [193]
5(2x - 8) + 15 = -15
               -15      -15     subtract 15 from each side
5(2x - 8) = -30
  ÷5             ÷5             divide both sides by 5
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     +8    +8                   add 8 to each side
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÷2  ÷2                          divide both sides by 3
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Checking:
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5(-6) + 15 = -15
-30 + 15 = -15
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