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Ksju [112]
4 years ago
5

EFGH is a parallelogram. Angle G Equals what degrees

Mathematics
1 answer:
dezoksy [38]4 years ago
7 0

Answer:

Step-by-step explanation:

since it's a parallelogram, then G equals 180 - (7x + 8), using laws of lines and angles, corresponding angles.

But we need to get x, both F and H are cogruent angles, i.e, they are equal, opposite angles are equal so,

9x - 14 = 7x  + 8\\9x - 7x = 8 + 14\\2x = 22\\x = 11

so x = 11, then we find G

G = 180 - (7x + 8)\\G = 180 - (7(11) + 8)\\G = 180 -(77 + 8)\\G = 180 - 85\\G = 95

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A pole that is 3.5m tall casts a shadow that is 1.47m long. At the same time, a nearby tower casts a shadow that is 42.75m long.
Stells [14]

<u>Answer:</u>

The height of the tower nearby the pole is 102 m.

<u>Solution:</u>

Given,

Height of the pole = 3.5 m

Length of the shadow of the pole = 1.47 m

Length of the shadow of the tower nearby = 42.75 m

Let us assume the height of the tower as x

\frac{height of the pole}{length of the shadow of the pole}=\frac{height of the tower}{length of the shadow of the tower}

\frac{3.5}{1.47} = \frac{x}{42.75}

On solving for x we get,

x = \frac{3.5}{1.47}\times 42.75

x = 101.785 m

On rounding off to the nearest meter we get,

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3 years ago
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White raven [17]

For question 4, x = 18 units,

For question 5, x = 8.333 units.

Step-by-step explanation:

Step 1:

Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.

We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.

Step 2:

For question 4, the first rectangle has a length of 9 units while the width is 3 units.

For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.

The ratio of the first rectangle to the second is;

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Step 3:

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For the second shape, the side length is 5 units while the side of the triangle is x units.

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Step-by-step explanation:

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