Answer:
Step-by-step explanation:
step 1
Find the measure of angle EFD
In this problem I will assume that ABCD is a parallelogram
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
so
--- > given problem
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle EFD
substitute the given values
step 2
Find the measure of angle EFB
we know that
---> by supplementary angles
we have
substitute
step 3
Find the value of x
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle EBF
we have
substitute
solve for x
Combine like terms

Answer:
4x+5y=20
Step-by-step explanation:
bc if u subtract your 4x from both sides
then u should end up with 5y= -4x+20
then u divide the 5 from everything
then you end up with y= -4/5x+4
30. Given problem : You deposited 2 000 dollars, then you will earn 6% simple interest.
Question: How long will it become 2 600 dollars.
Well, you didn’t mention if it’s an annual interest or monthly interest.
But let’s say that it’s a monthly interest, then let’s start solving:
=> 2000 Is the original amount + 6% interest
first month = 2000 * .06 = 120
=> 2000 + 120 = 2120
2nd month = 2120 *.06 = 127.2
=> 2120 + 127.2 = 2247.2
3rd month = 2247.2 *.06 = 134.832
=> 2247.2 + 134.832 = 2382.032
4th month = 2382.032 * .06 = 142.92192
=> 2382.032 + 142.92192 = 2524.95392
5th month = 2524.95392 * .06 = 151.497
=> 2524.95392 + 151.497 = 2676.45
Thus, on the fifth month she will earn this amount.
The answer to the question
9514 1404 393
Answer:
297 miles
Step-by-step explanation:
The round-trip distance from X to Y is double the one-way distance. The distance from X to Y is 648/2 = 324 miles.
That distance is the sum of distances from X to Z and Z to Y. Then ...
XZ +ZY = XY
27 +ZY = 324
ZY = 297
It is 297 miles from City Z to City Y.