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2 years ago

I have to turn this in tonight please help :(

Mathematics

2 answers:

Alja [10]2 years ago

4 0

Answer:

116

Step-by-step explanation:

21x + 12 = 180

-12 -12

21x = 168

÷21 = ÷21

x = 8

14 x 8 + 4

112 +4

116

Leni [432]2 years ago

3 0

Answer:

angle a is 116 degrees

Step-by-step explanation:

ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:

(14x + 4) + (5x - 1) + (2x + 9) = 180

Then, we solve for x and x equals 8

After this we plug 8 back into the angle so it would be written like this:

14(8) + 4

This equals 116 degrees.

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have slopes that are negative reciprocals to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that its slope is -4/3.

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

In short, your new equation is y = -4/3x - 10 1/3.

3 0

3 years ago

Read 2 more answers

Assuming x > 0, which of these expressions is equivalent to 11 times the square root of 245 x to the third plus 9 times the s

ehidna [41]

The answer is 104 x times the square root of 5 x

11 times the square root of 245 x to the third plus 9 times the square root of 45 x to the third is:
 $11 \sqrt{245 x^{3} } +9 \sqrt{45 x^{3} } =11 \sqrt{245} *\sqrt{ x^{3} } +9 \sqrt{45} *\sqrt{ x^{3} }= \\ \\ =11 \sqrt{5*49} * \sqrt{ x^{2} *x} +9 \sqrt{5*9} * \sqrt{ x^{2} *x}= \\ \\ =11* \sqrt{5} * \sqrt{49} * \sqrt{ x^{2}} * \sqrt{x} +9* \sqrt{5} * \sqrt{9} * \sqrt{ x^{2} }* \sqrt{x} = \\ \\ 
=11* \sqrt{5} *7*x* \sqrt{x} +9* \sqrt{5} *3*x* \sqrt{x} = \\ \\ 
=77x* \sqrt{5*x} +27x* \sqrt{5*x} = \\ \\ 
=77x \sqrt{5x} +27x \sqrt{5x} = \\ \\ 
=104x \sqrt{5x}$

4 0

3 years ago

Read 2 more answers

If two distinct lines intersect, which MUST be true?

emmainna [20.7K]

Answer:

Answer options

A) the lines are parallel

B) the lines are perpendicular

C) the lines form angles at the intersection

D) the lines form right angles at the intersection

the answer is C

Step-by-step explanation:

I got it right on my test

7 0

3 years ago

A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner p

Airida [17]

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

6 0

3 years ago

Please help me solve this problem ASAP!!

Komok [63]

Answer:

y = 8x - 11

Step-by-step explanation:

Using the equation

y - y1 = m (x - x1)

y - 5 = 8 (x- 2)

y - 5 = 8x - 16

Subtract the 5

y = 8x - 11

6 0

3 years ago