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2 years ago

(SAT Prep) Find the value of x. X 125° 115°

Mathematics

2 answers:

Ymorist [56]2 years ago

3 0

<h3>Answer : 60°</h3>

#look pic for detailed info

180° - 125° = 55°

180° - 115° = 65°

180° - 55° - 65° = 60°

180° - 60° = 120°

180° - 120° = 60°

Alex777 [14]2 years ago

3 0

Answer:

x = 120°

Step-by-step explanation:

you can draw a perpendicular base betweeen the two parallel segments and form a pentagon, which has 540 degrees inside.

the two base angles will each be 90°, and we have known values for the other two.

as far as 'x', that angle is vertical to the top angle of the pentagon so we add up all the known values and solve for 'x':

90 + 90 + 125 + 115 + x = 540

180 + 240 + x = 540

x = 540 - (180 + 240)

x = 540 - 420

x = 120

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3 years ago

2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566

pishuonlain [190]

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The correct options are a,b,e and f.

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It is given that the nth terms of the series is defined as

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$T_n-17=3n$

Divide both sides by 3.

$\frac{T_n-17}{3}=n$

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

$n=\frac{80-17}{3}=21$

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

$n=\frac{170-17}{3}=51$

Since n is a positive integer, therefore 170 is a term of given series.

$n=\frac{217-17}{3}=66.67$

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

$n=\frac{312-17}{3}=98.33$

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

$n=\frac{278-17}{3}=87$

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

$n=\frac{3566-17}{3}=1183$

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

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