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2 years ago

In ΔCAB, if m∠A = 10x + 9, m∠B = 34°, and m∠C = 97°, what is the value of x?

Mathematics

1 answer:

inna [77]2 years ago

6 0

X=4
If you plug in 4 for x you should get 49 which would add up with the other angles to equal 180

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FEE

frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

7 0

2 years ago

Jamiah bought two 125 ounce bags of flour for baking. He used up 32 ounces of flour to bake a batch of brownies. How much flour

V125BC [204]

Answer: its 218

Step-by-step explanation: you just have to subtract 250 minus 32

7 0

1 year ago

Please help if you can

NemiM [27]

I am doing this test I will do it and I will give you the correct answer when I am done I think it's the last one but I am not sure soo wit an tell I finish the test

3 0

2 years ago

What is -0.75 - 0.4 simplified

anzhelika [568]

Answer:

-1.15

Step-by-step explanation:

Subtract 0.4 from − 0.75 .

3 0

2 years ago

Read 2 more answers

Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?

Len [333]

The answer is 20%

If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)

5 0

2 years ago