What’s the answer? I really need help with my home work

sasho [114]

Answer:

45

Step-by-step explanation:

You already solved that the 2 angles of the triangle are 55° and since all of the angles are on a straight line, they add up to 180°

and the equation becomes...

3x-10+55=180

3x+45=180

Subtract 45 from both sides

3x=135

Divide by 3

x= 45

Then to double check you plug 45 as the value of x in.

3(45)-10+55=180

135-10+55=180

125+55=180

180=180

7 0

3 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

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

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

Y=3x + 4 What is the slope?

slega [8]

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

6 0

2 years ago

8. A carpenter cut the top section of a window frame with a 37 degree angle on each end. The side pieces each have 50 degree ang

marshall27 [118]

Answer:

I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.

Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of

37 + 50 = 87 degrees to each other.

The same will be true for the other side.

If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of

87 + 87 = 174 degrees instead of 180 degrees.

The two sides diverge at an angle of

180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame

Step-by-step explanation:

4 0

3 years ago

2(x + 2) + 3z = 2(x + 1) +1

Oxana [17]

Answer:

Answer:x=

−3z−1

0

Step-by-step explanation:x=

Step 1: Add -2x to both sides.

2x+3z+4+−2x=2x+3+−2x

3z+4=3

Step 2: Add -3z to both sides.

3z+4+−3z=3+−3z

4=−3z+3

Step 3: Add -4 to both sides.

4+−4=−3z+3+−4

0=−3z−1

Step 4: Divide both sides by 0.

0

=

−3z−1

0

x=

−3z−1

0

6 0

2 years ago

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