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Over [174]
3 years ago
13

Using the figure below, select the pair(s) of supplementary angles. (HINT** they may be more than 1 correct answer)

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
7 0

Answer:

B and D

Step-by-step explanation:

Supplementary angles add upto 180 degress, or a straight line. B and D are the only options for angles that add up to 80 degrees.

First, find ange DBE. Angle DBE is 27 degrees as 90-63=27.

ABE is 90 degrees because line AC is a straight line which means it has an angle of 180 degrees and since DBC is 90 degrees, ABD is 90 degrees.

ABE is 117 degrees and EBC is 63 degrees. 117+63=180 degrees

ABD is 90 degrees and DBC is also 90 degrees. 90+90=180

kondor19780726 [428]3 years ago
3 0

Answer:

B, D

Step-by-step explanation:

Supplementary Angles: Add up to 180 degrees

Angle abe and Angle Ebc add up to 180 degrees

Angle ABD and Angle DBC add up to 180 degrees

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Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Write an
grin007 [14]

Answer:

answer: he spent $120

Step-by-step explanation:

20×5=100

100+ the initial $20 spent = $120

8 0
2 years ago
Simplify the difference. (–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x)
sineoko [7]

Answer: 2x^4+2x+10

Step-by-step explanation:

You need to remember the mulplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-

Knowing this, you can distributive the negative sign. Then you get:

(-7x- 5x^4 + 5) - (-7x^4 - 5 - 9x)=-7x- 5x^4 + 5 +7x^4 + 5 + 9x

Now you need to add the like terms. Then:

=2x+2x^4+10

Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:

=2x^4+2x+10

4 0
2 years ago
Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ((1+r)^{t} -1 ) / r      .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

27456 = 1225 ((1+r/4)^{20} -1 ) / r/4

((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0
2 years ago
Read 2 more answers
What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:
Gekata [30.6K]

Answer:

B. 13

Explanation:

\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )

Logarithm rules:

\sf (i)  \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \  log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)

Breakdown of the expression:

\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)

\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)

\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)

insert given values

\rightarrow \sf 2(3)+3(2)-(-1)

\rightarrow \sf 13

7 0
2 years ago
2 1/3 divided by 1/4
babunello [35]

Answer:

20/3 or 6 2/3

Step-by-step explanation:

Please mark brainliest and have a great day!

5 0
3 years ago
Read 2 more answers
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