Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and
2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
Answer:
The last graph.
Step-by-step explanation:
In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle. Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio. Since it is proportional for all sides, this is a dilation.
67 + 23 = 90
Because this pair of angles adds up to 90, they are complementary angles.
Hope this helps!! :)
Sale price = 187500
20% down = 0.2 * 187500 = 37500
Loan amount = 187500-37500 = 150000
Interest = 4.65%/12 per month
Monthly payment = $1575
At the end of the first month, outstanding amount
= loan * interest rate - monthly payment
= 149006.25
Interest accrued during the first month
=150000*0.0465/12
= 581.25
Interest accrued during the second month
= outstanding amount at the end of the first month * (0.0465/12)
= 577.40
Total interest accrued during the first two months
= 581.25+577.40
= 1158.65 (to the nearest cent)
