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frosja888 [35]
3 years ago
5

IO 80 14x + 2 The figure is a parallelogram. Solve for x. 'S 2 7

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

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Two line segments to be congruent if and only if they have the same length.

Two shapes are congruent if they are exactly the same shape and exactly the same size. In congruent shapes, all corresponding sides will be the same length and all corresponding angle will be the same measure.

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5 0
1 year ago
two towers labeled Tower A and Tower B some distance apart and a fire image at a certain distance from both towers Towers A and
astra-53 [7]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

42^o+64^o+C=180^o\\C=180^o-106^o=74^o

step 2

Find the measure of a

Applying the law of sines

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substitute the given values

\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}

solve for a

a=\frac{10}{sin(74^o)}sin(42^o)\\a=7.0\ mi

8 0
3 years ago
Read 2 more answers
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givi [52]

Answer:

GCF = 5

Step-by-step explanation:

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5 has factors 1, 5

The common factors are 1, 5

Then GCF = 5

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