Answer:
56°, 84°, 40°
Step-by-step explanation:
The three angles of triangles have measures of 56°, (2x + 4)º, and xº.
We need to find the measures of the three angles of the triangle.
We know that, the sum of angles of triangle is equal to 180º. Using this property we get :
56°+ (2x + 4)º + xº =180º
Solving for x.
60 + 3x = 180
3x = 120
x = 40º
Other angle, = 2x+4
= 2(40)+4
= 80+4
= 84º
So, the measures of the three angles of the triangle are 56°, 84°, 40°. Hence, the correct option is (c).
Answer:
See explanation
Step-by-step explanation:
Consider the sequence 10, 6, 2, -2, -4, ...
Rewrite it as

The points on the coordinate plane are
(see attached graph).
Since
given sequence is arithmetic.
Answer: c) 2x² - 2x + 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Here are the Options verified:</u>
- A. Incorrect. Kites can't be parallelograms.
- B. Correct. Kites are quads. Quads have 4 sides. A kite has 4 sides.
- C. Incorrect. They don't have opposite sides that are congruent.
<u>Correct choice is B.</u>
He actually borrowed P=21349-3000=18349 (present value)
Assume the monthly interest is i.
then future value due to loan:
F1=P(1+i)^n=18349(1+i)^(5*12)=18349(1+i)^60
future value from monthly payment of A=352
F2=A((1+i)^n-1)/i=352((1+i)^60-1)/i
Since F1=F2 for the same loan, we have
18349(1+i)^60=352((1+i)^60-1)/i
Simplify notation by defining R=1+i, then
18349(R^60)-352(R^60-1)/(R-1)=0
Simplify further by multiplication by (R-1)
f(R)=18349*R^60*(R-1)-352(R^60-1)=0
Solve for R by trial and error, or by iteration to get R=1.004732
The APR is therefore
12*(1.004732-1)=0.056784, or 5.678% approx.