Which statement is true about the diagram? a)∠def  is a right angle. b) m∠dea = m∠fec c) ∠bea ≅  ∠bec   d) bisects ∠aef

C. .

Step-by-step explanation:

We have been given a diagram of angles formed by intersecting lines. We are asked to choose the correct option but our given diagram.

Upon looking at our given choices we can see that only option C is the correct choice as we can see from our given diagram that .

Therefore, angle BEA is congruent to angle BEC.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

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 , to get to , we add

from , to get to , we add

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

, and for