Answer:
x = 8.5
Step-by-step explanation:
Based on the Midsegment theorem, the midsegment, DE is half the length of BC.
Given that BC = 17, therefore:
DE = ½*(17)
DE = 8.5.
x = DE = 8.5
Answer:
Jenn
Step-by-step explanation:
Natalie and Beth swim at about the same speed. Kara swims twice as fast as Beth so she also swims twice as fast as Natalie. So Kara is faster than Natalie and Jenn is faster than Kara. Therefore Jenn is faster than Natalie.
Hope This Helps :]
605 the answer its vorrect
Angle f is 146 degrees
<h2>
Explanation:</h2>
Hello! Recall that you have to post complete questions in order to get good and correct answer. However, I have attached a figure below that I think represents the statement of your problem.
In this case, we can set the following equations:
(1) ∠d = (3x + 7)°
(2) ∠e = (4x - 2)°
These two angles are Alternate interior angles. They are interior angles because they're between the parallel lines (
and
) and they are alternate angles because they're on different sides of the transversal line (The third one that passes through the parallel lines)
Alternate interior angles are always congruent to each other, so this means they have the same measure. In other words:
∠d = ∠e
(3x + 7)° = (4x - 2)°
Isolating x:
3x + 7 = 4x - 2
Combine like terms:
7 + 2 = 4x - 3x
9 = x
x = 9
So:
∠e = (4x - 2)°
∠e = [4(9) - 2]°
∠e = [36 - 2]°
∠e = 34°
∠e and ∠f are supplementary angles meaning they add up to 180 degrees, so:
∠e + ∠f = 180°
Isolating ∠f:
34°+ ∠f = 180°
∠f = 180° - 34°
∠f = 146°
<h2>Learn more:</h2>
Complementary angles: brainly.com/question/12254549
#LearnWithBrainly