Answer: Yes it is.
Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.
According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.
Answer:
c
Step-by-step explanation:
dont know if i am right
Answer:
12.5
Step-by-step explanation: The triangle ABC and its altitude
is represented in the figure below.
<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of
, now we have two similar triangles, which means that ratios of corresponding sides are equal:

(1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

(2)
Substituting (2) into (1):

We want to find f, so:


f = 7.5
The length of
is



The length of the hypotenuse of triangle ABC is 12.5 units.
The correct answer is D.
This is because a converse statement switches the places of the hypothesis and conclusion.
Answer:
$1699.25
Step-by-step explanation:
Data:
Cost = $314 000
Down payment = 18 %
Term = 20 yr
i = 5 %/yr
Calculations:
(a) <em>Down payment
</em>
Down payment = 314 000 × 0.18
= $56 520
(b) <em>Amount financed
</em>
Cost = $314 000
-Down payment = <u> 56 520</u>
Financed = $257 480
(c) <em>Monthly payments </em><em>
</em>
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is

We must express the interest rate on a monthly basis.
I = 5 %/yr = 0.41 667 %/mo = 0.004 1667
n = 2 × 12 = 240 mo




P = $1699.25
Carlos' monthly mortgage payment will be $1699.25.