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shutvik [7]
3 years ago
11

What is the area of this trapezoid?

Mathematics
2 answers:
sergey [27]3 years ago
5 0

Answer:

153squared

Step-by-step explanation:

The two triangles on the side have an area of 63.

The rectangle has an area of 90.

90+63=153

Alla [95]3 years ago
5 0

Answer:

153 ft²

Step-by-step explanation:

Area of a triangle: 1/2 bh

                              1/2 (7x9)

                              1/2 (63)

                              31.5

Since there are two triangles of the same size: 31.5x2=63

Area of a rectangle: lw

                                  (9x10)

                                  90

Add them together:

  63+90=153

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0
3 years ago
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marishachu [46]

Answer: slope=3 Y=1

Step-by-step explanation:

Step 1: Find two points (0,2) & (1,5)

Step2: Y2-Y1 over X2-X1

5-2.       3

——- =  ——

1-0.         1

(1,3)

3 0
3 years ago
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-2(9 + 3n) - 9 (1 - 10n)*
GuDViN [60]

Answer:

-27+84n

Step-by-step explanation:

4 0
3 years ago
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Write an equation of the line in slope-intercept form.<br><br><br><br><br><br> y = .
spayn [35]

Answer:

y=5/3x-2

Step-by-step explanation:

the equation for a line is y=mx+b, m is the slope the slope of this line is 5/3. B represents the y intercept, in this equation it is -2.

7 0
3 years ago
Line RS find the slope
lesantik [10]

Answer:

3

Step-by-Step explanation:

7 0
3 years ago
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