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3 years ago

HELP DUE IN 30 MINS!

Mathematics

2 answers:

qaws [65]3 years ago

6 0

Answer:

relationship between base and perpendicular is given by tan angle

tan angle = perpendicular/base

tan angle =21/41

angle =tan -¹(21/41)=27

Bond [772]3 years ago

3 0

Answer:

Step-by-step explanation:

In a right angle triangle, the tan is defined as opposite side / adjacent side of the reference angle

The reference angle is ?

The opposite side is 21

The adjacent side is 41

Tan(?) = 21/41

Tan(?) = 0.5122

? = tan-1(0.5122)

? = 27.12 rounded to the nearest degree = 27

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The triangles are similar

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Answer:

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Part 5) $x=26.67\ in$

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units$

Part 2) we know that

If two triangles are similar

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In this problem

$\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units$

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{AB}{CD}=\frac{AE}{ED}$

substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

$2.5(x+3)=2x+10$

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$2.5x-2x=10-7.5$

$0.5x=2.5$

$x=5\ units$

$AE=2x+10=2*5+10=20\ units$

Part 4) we know that

If two triangles are similar

then

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In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in$

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