Refer to the attached image. If we draw a line parallel to segment BC, and this line goes through point D, then we'll form the new point E. Point E is on segment AB.
The parallelogram EBCD parallelogram forms. In fact, this figure is actually a rectangle due to the right (90 degree) angles. By definition, the opposite sides are parallel. Consequently, the opposite sides are congruent.
So,
BC = ED = 24
EB = CD = 4
AE+EB = AB
AE+4 = 5
AE = 1
Note how triangle AED is a right triangle with the right angle at angle E.
We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
1^2 + 24^2 = c^2
1 + 576 = c^2
577 = c^2
c^2 = 577
c = sqrt(577)
c = 24.0208
If we round to the nearest tenth, then we get
24.0 which is the final answer (so the answer is choice C)Note: this is misleading as this implies that the hypotenuse is the same length as the leg, which is not the case. So this is one drawback to rounding.
Answer: so wich line do we need to answer
Step-by-step explanation:
9 times 4 is 36 because you are putting 9 groups into 4
your answer is: 36
Answer:
any number > than -13 and less than zero
Step-by-step explanation:
Answer:
x = 110
y = 40
Step-by-step explanation:
m∡5 = 30° because it forms a linear pair with ∡6, which is 150°
x + y = 150 (angles 4 and 6 are alternate-interior and are congruent)
angles 3 and 6 are same-side interior and are supplementary
therefore: x -2y = 180-150
if x + y = 150 we can say that x = 150 - y
we can plug '150-y' for 'x' in x - 2y = 30
150-y - 2y = 30
-3y = -120
y = 40
x = 110