The answer is D) 1/4
We draw the triangle and we notice triangle ABC is similar to DBE so all the sides will be in proportion.
Since AC is 4 times longer than DE, all the sides of triangle ABC will be 4 times longer.
Then if the perimeter of ABC was lets say 8, DBE would have a perimeter of 2.
D is the answer :)
Answer: Isosceles
<u>Step-by-step explanation:</u>
Given: AB || DE , BC is a transversal
∠ABC ≅ ∠BCE by Alternate Interior Angles Theorem --> ∠BCE = 80°
∠DCA, ∠ACB, & ∠BCA are supplementary --> ∠ACB = 50°
By the Triangle Sum Theorem, ∠A+∠B+∠C = 180° --> ∠CAB = 50°
Triangle is isosceles because ∠A ≅ ∠C
-26/5 is the larger number. It is -5.1.
Answer:
38
Step-by-step explanation:
25+11=36+2=38 that is the answer
Answer:
13 and 14.
Step-by-step explanation:
So we have two consecutive integers.
Let's call the first integer a.
Since the integers are consecutive, the other integer must be (a+1) (one more than the last one).
We know that the sum of the greatest integer (or a+1) and twice the lesser integer (a) is 40. Therefore, we can write the following equation:

The first term represents the greatest integer. The second term represents 2 times the lesser integer. And together, they equal 40.
Solve for a. Combine like terms:

Subtract 1 from both sides. The 1s on the left cancel:

Divide both sides by 3:

Therefore, a or the first integer is 13.
And the second integer is 14.
And we can check:
14+2(13)=14+26=40