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SVETLANKA909090 [29]
2 years ago
14

Given that angle a = 72° and angle b = 37°, work out x.

Mathematics
1 answer:
Sedbober [7]2 years ago
8 0

Answer:

x is 71

Step-by-step explanation:

X + 72 + 37 = 180 ( Sum of angles in a triangle)

X = 180 - 72 - 37

X = 71

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-9.5 because 1/2 simplifies to .5 and 9 is the whole number 
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Dimas [21]

I think is 192 but I'm not sure

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Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the
kap26 [50]

Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\

Future value of annuity (FV) = $13,782.12 (Approx)

7 0
2 years ago
Find the length of the missing side. The triangle is not drawn to scale.
suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

a^2+b^2=c^2

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it  is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

a^2+15^2=17^2

Simplify exponents:

a^2+225=289

Isolate the variable. Subtract 225 from both sides:

a^2+225-225=289-225\\a^2=64

Find the square root of both sides:

\sqrt{a^2}=\sqrt{64}\\  a=8

The missing leg length is 8.

7 0
2 years ago
Solve: -3/4x - 8 + 5/4x - 4 = 9 x=?​
ExtremeBDS [4]

Answer: x=42

Step-by-step explanation: In the picture

8 0
3 years ago
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