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Vlada [557]
2 years ago
14

Find the measure of each angle.

Mathematics
1 answer:
motikmotik2 years ago
6 0

Answer:

m∠2 = 98°,   m∠3 = 82°

Step-by-step explanation:

I'm going to assume this is a straight angle

  • Supplementary angles

Supplementary angle are two angles that equal 180°

m∠2+m∠3=180°

<h3>-Substitute</h3>

m∠2+m∠2-16=196°

<h3>add both side by 16°</h3><h3 />

2m∠2=196°

<h3>Divide both sides by 2</h3><h3 />

m∠2=98°

Since we said m∠3 = m∠2 - 16°

m∠3 = 82°

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Find the exact value of tan 13Π/8 using half-angle identities.
Whitepunk [10]
I hope this helps you



tan (13.180/8)


tan (2340/8)


tan(292,5)


-2,41
6 0
3 years ago
What is 18/25 as a decimal
Serga [27]

Answer: 0.72

Step-by-step explanation:

Hope that helps :)

4 0
3 years ago
Read 2 more answers
√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Orlov [11]

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

6 0
3 years ago
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work
Snezhnost [94]
This kind of problems requires to add the working velocities. The total velocity is the sum of the individual velocities.

Anita's velocity = 1 pool/8 hours
Chao's velocity = 1 pool/6 hours

Combined velocity 1/8 + 1/6 = (3 + 4)/24 = 7/24 pool/hour

Time = 1 pool / (7/24) pool/hour = 24/7 hour =3.43 hours
8 0
3 years ago
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