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Kamila [148]
3 years ago
11

Determine whether the triangles are congruent. Explain your reasoning .

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

Step-by-step explanation:

First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle

in ΔDEF we have 180 -68 -81 = 31°

in ΔABC we have 180 -68 -33 = 79°

the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.

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DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of
gtnhenbr [62]

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

5 0
3 years ago
Pls help, I don’t understand how to do this
MAVERICK [17]

Answer:

5 parts are shaded and 4 parts are white so:

There are 9 parts all together.

We can then form ratio's of the white areas and the shaded areas:

White Area Ratio =

\frac{4}{9}

Shaded Area Ratio =

\frac{5}{9}

Let the area of sqaure be equated to x, which means let the entire area of the square equal to x:

x = Area of whole square

Now we can form an equation :

\frac{5}{9} x = 165

So now we just need to solve for x:

x = \frac{165}{ \frac{5}{9} }

x = 297

The area of the square is:

297 {cm}^{2}

4 0
3 years ago
Read 2 more answers
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
AlladinOne [14]

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

8 0
3 years ago
14.4% of what number is 10.4
Helga [31]
First, convert "of" to x and put this info into an equation:

Let n represent the unknown number.  

14.4 % x n= 10.4
              n = 10.4 / 14.4%
              n = 72.22222
              n = ~72

Hope this helps!
8 0
4 years ago
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.
lys-0071 [83]
          f(x) = x² - 8x + 3
             y = x² - 8x + 3
           - 3                - 3
        y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
     y + 13 = x² - 8x + 16
     y + 13 = (x - 4)²
         - 13      - 13
             y = (x - 4)² - 13
          f(x) = (x - 4)² - 13
8 0
3 years ago
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