Mathematics, 19.11.2019 23:31 alexanderturnerat

Two parallel lines are crossed by a

what is the value of d?

0

d = 55

d = 75

d = 125

d = 155

Answers: 1

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Answer from: sevanah5506

Option C.

Step-by-step explanation:

Let as consider parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees.

We need to find the value of d.

If a tranversal line intersect two parallel lines, then the alternate exterior angles are equal.

Uppercase left angle and bottom right angle are alternate exterior angles. So we can say that

d = 125°

Therefore, the correct option is C.

Answer from: jasminemora4

d = 125°

Step-by-step explanation:

The complete problem is attached.

According to the graph, the value of angle d would be 125°, by vertical angles theorem, which states that two angles that are opposite each other when two lines crosses, they are congruent.

Therefore, the right answer is the third option.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

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Two parallel lines are crossed by a

what is the value of d?

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