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3 years ago

The two polygons are similar, solve for x

Mathematics

1 answer:

Sauron [17]3 years ago

8 0

Answer:

X=3.6

Step-by-step explanation:

If two polygons are similar then proportions

AB:EF=AD:EH holds, i.e,

3:2=x:2,4

Then we have: 2x=3*2,4=7,2 I.e,

x=7,2/2=3,6

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3 years ago

AB is a tangent. Find the length of the radius, r.

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2 years ago

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3 years ago

Read 2 more answers

Which expression is equivalent to 12x + 18y + 54?

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3 years ago

The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sent

Liono4ka [1.6K]

Answer:

$Distance = 9.276 * 10^7$ miles

Step-by-step explanation:

Given

$Earth\ to\ Moon = 2.4 * 10^5 miles$

$Earth\ to\ Sun = 9.3 * 10^7 miles$

Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

$Distance = Earth\ to\ Sun - Earth\ to\ Moon$

$Distance = 9.3 * 10^7 - 2.4 * 10^5$

Express 10⁷ as 10⁵ * 10²

$Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5$

Factorize:

$Distance = 10^5(9.3 * 10^2 - 2.4)$

Solve the expression in the bracket

$Distance = 10^5(9.3 * 100 - 2.4)$

$Distance = 10^5(930 - 2.4)$

$Distance = 10^5(927.6)$

$Distance = 927.6 * 10^5$

Expand 927.6

$Distance = 9.276 * 10^2 * 10^5$

$Distance = 9.276 * 10^{2+5}$

$Distance = 9.276 * 10^7$

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3 years ago