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Feliz [49]
3 years ago
7

Solve for the missing angle. Round your answers to the nearest tenth. Figures are not drawn to scale.

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

50.8 degrees

Step-by-step explanation:

cos(x)=12/19

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Step-by-step explanation:

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Find slope intercept form of 5x+8y=120 passing through (4,5)
yarga [219]

Answer:

y=-(5/8)x+(15/2)  or  y=-0.625x+7.5

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

5x+8y=120

isolate the variable y

8y=-5x+120

y=-(5/8)x+15

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-5/8 and point (4,5)

substitute and solve for b

5=-(5/8)(4)+b

b=5+(20/8)

b=60/8=15/2=7.5

substitute

y=-(5/8)x+(15/2)

or

y=-0.625x+7.5

5 0
3 years ago
Find the area of triangle GHJ
iogann1982 [59]

Answer:

The area of this triangle would be 24.

Step-by-step explanation:

In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.

6 - -2 = 8 = base

Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.

5 - -1 = 6 = height

Now that we have those two distances, we can just use the triangle formula.

A = 1/2bh

A = 1/2(8)(6)

A = 24

5 0
3 years ago
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