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frosja888 [35]
3 years ago
13

Find the area. The figure is not drawn to scale.

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

The figure on the top left is a triangle with base 11 and height 8, for an area of

A_1=\dfrac{11\cdot 8}{2}=44

Immediately below, we have a rectangle with dimensions 11 and 9, for an area of

A_2=11\cdot 9=99

Moving to the right, we have a parallelogram with base 9 and heght 11, which again has height

A_3=11\cdot 9=99

Finally, the rightmost figure is a triangle with base 8 and height 9, for a total of

A_4=\dfrac{8\cdot 9}{4}=36

Sum these areas and you'll get the total area

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Step-by-step explanation:

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2 years ago
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


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3 years ago
Oliver spot frustrated sometimes with his somewhat limited set of red We, and green building bricks. Part way through project, h
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Aleksandr-060686 [28]

9514 1404 393

Answer:

  A.  ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

5 0
2 years ago
Find the measures of the following angles.
makvit [3.9K]

Answer:

1: 36° 2: 122° 3: 122° 4: 38°

Step-by-step explanation:

First start out by getting 2 and 3. so 58+angle 3 has to sum to 180° since they are supplementary and are a straight line. So 180-58=122. Angle 2 is the same since theyre vertical. then since a triangle has 180° total, you subtract from 180 to find the final angle measurement.

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2 years ago
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