Answer:
140
Step-by-step explanation:
We first find out how much degrees altogether in the pentagon so we do
S = (n-2) x 180
s is the sum in the shape
n is the number of sides
S = (5-2) x 180
S = 3 x 180
S =540
Now that we have the sum we can add all the sides, first lets make the side ABC = x and side BCD = 2x:
115 + 125 + 90 + x + 2x = 540
330 + 3x = 540
3x = 540 - 330
3x = 210
x = 70
Now that we know x = 70 we can find side BCD, it says its is 2 x angle ABC
so we do 2x70 = 140
so Angle BCD = 140
I hope i did this correctly.
Answer:
x = 2.5.
y = 5.
Step-by-step explanation:
As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.
4/2 = 5/x
2 = 5/x
2x = 5
x = 2.5.
Also:
4/2 = (y + 1)/ 3
2 = (y + 1) / 3
y + 1 = 6
y = 5.
Given:
Wang Yong owes the bank $8500. He pays back a fixed amount each month. After 12 months, he still has to pay off $6460.
To Find:
The amount of money he pays the bank every month and how long it will take him to pay off the full debt.
Answer:
Wang Yong pays $170 each month, and doing so, it will take him a total time of 50 months to pay off the full debt.
Step-by-step explanation:
Wang Yong has borrows $8500 according to the question.
Say he pays the bank an amount of x every month, which is fixed. After 12 months, he still has to pay $6460.
In 12 months, he would have paid the bank 12x.
But $6460 is still left out of the original $8500.
This means,

That is, Wang Yong pays the bank $170 every month.
Next, to calculate the amount of time it took Wang Yong to pay back his whole debt, we divide the total sum of money owed to the bank by the amount Wang Yong pays each month.
So, number of months = 8500 ÷ 170 = 50
That is, Wang Yong will pay off his debt 50 months after borrowing the money from the bank, provided he pays back $170 every month.