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Ede4ka [16]
3 years ago
12

The two triangles are similar. What is the value of x? Enter your answer in the box. x = Two right triangles, one smaller than t

he other, back to back, so that their right angles form a straight angle. The two acute angles along the straight angle are congruent to each other. The overlapping part of the legs is labeled 20. The part of the overlapping side that extends above the smaller triangle is labeled 8. The leg of the smaller triangle that is a ray of the straight angle is labeled 3 x. The leg of the larger angle that is a ray of the straight angle is labeled 4 x plus 2.

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0

Free right answer sample, get your free right answer sample over here.

(psst it's 10)

inysia [295]3 years ago
4 0
<span>x = 4
   Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
 20/28 = (3x)/(4x+2)
 (4x+2)20/28 = (3x)
 (20/28)*4x+(20/28)*2 = (3x)
 (80/28)*x+(40/28) = (3x)
 (20/7)*x + 4/7 = 3x
 4/7 = 3x - (20/7)*x
 4/7 = (21/7)x - (20/7)*x
 4/7 = x/7
 4 = x
   So the value of x is 4.</span>
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Answer:

  (b)  60°

Step-by-step explanation:

The sum of angles in a pentagon is 540°, so you have ...

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3 0
3 years ago
Best explained and correct answer gets brainliest!
Norma-Jean [14]
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6 0
4 years ago
Evaluate the function rule for the given value. f(x)=3^x for x=-5
FromTheMoon [43]

Answer:

\frac{1}{243}

Step-by-step explanation:

using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

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6 0
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Nadusha1986 [10]
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6 0
4 years ago
Evaluate the expression and enter your answer in the box below |98|
olganol [36]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate \pmb{|98|}.

\triangle~\fbox{\bf{KEY:}}

  • The notation |x| denotes absolute value.

The absolute value of a number is its distance from zero.

Absolute value is always positive; distances can't be negative, right?

So we need to find the absolute value of 98, which is:

\star~\star\mathrm{98}~\star~\star

\ddot\bigstar Remember this...

\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

3 0
2 years ago
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