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mixer [17]
3 years ago
10

Complementary angles sum up to equal 90 degrees. Find the measure of each angle in the figure below. Note that since the angles

make up a right angle, they are complementary to each other.

Mathematics
1 answer:
laiz [17]3 years ago
3 0
#1 and #2 both equal 30 or x=30
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Find the slope and y-intercept for the two linear functions.
tankabanditka [31]

Answer: Slope of the line given in the table: m = - 0.25

Y-intercept of the line given in the table: b = -4

Slope of the line given by the equation: m = 1.5

Y-intercept of the line given by the equation: b = 1

Step-by-step explanation: <u>Slope</u> of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:

m = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }

Another way of determining the slope is as the form:

y = mx+b

<u>For the table</u>:

As in the table there are only points:

m = \frac{-3 + 2.5}{-4+6}

m = - 0.25

<u>For the function</u>:

The function is:

y = 3/2x + 1

m = 3/2

m = 1.5

<u>Y-intercept</u> is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.

<u>For the table</u>:

y = mx + b

According to the table, when y = -2.5, x = -6

-2.5 = - 0.25. (-6) + b

b = -2.5 - 1.5

b = -4

<u>For the function:</u>

y = 1.5x + 1

b = 1

In conclusion:

  • For the table: m = - 0.25 b = - 4
  • For the equation: m = 1.5 b = 1
8 0
4 years ago
Read 2 more answers
If a rectangular prism with a length of 12 feet and a width of 9 feet has a surface area of 930 square feet find its height
WINSTONCH [101]

Answer:

The height is 17 ft

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(LW +WH + LH)

where L = length, W = width, and H = height

We know SA = 930, L = 12, and W = 9

930 = 2(12*9 +9H + 12H)

Divide each side by 2

930/2 = 2/2(12*9 +9H + 12H)

465 = (12*9 +9H + 12H)

Combine like terms

465 = 84+21H

Subtract 84 from each side

465-84 = 84-84+21H

357 = 21H

Divide by 21

357/21=21H/21

17 = H

The height is 17 ft

4 0
4 years ago
Read 2 more answers
A cylinder has a height of 4 inches and a diameter of 18 inches. Which equation can be used to find the total surface area of th
kati45 [8]

Answer:

I believe the answer is A. For you are an as$h0le

Step-by-step explanation:

8 0
3 years ago
Brainliest answer to the one who will be first and correctly.
inessss [21]

Answer:

21

Step-by-step explanation:

dog = 35/85 = x/51

=> x = 35 x 51 / 85 = 7 x 51 / 17 = 21

4 0
3 years ago
Read 2 more answers
A care care company sells 45in. Upholstery fabric for car restoration. Art bought 7 1/4 yd and 12 9/10 yd for two car projects.
Troyanec [42]

Answer: the number of yards that art bought is 20 3/20 yards

Step-by-step explanation:

Art bought 7 1/4 yd and 12 9/10 yd for two car projects. We would convert both measurements from mixed fraction to improper fraction before adding.

Converting 7 1/4 yd to improper fraction, it becomes 29/4

Converting 12 9/10 yd to improper fraction, it becomes 129/10 yd

Adding both measurements, it becomes

29/4 + 129/10 = (145 + 258)/20 = 403/20yds

Converting to mixed fraction, it becomes

20 3/20 yards

4 0
3 years ago
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