MATHEMATICS HIGH SCHOOL

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

Answers

Answer 1

Answer:

The measure of each angle will be 10° and 170°.

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°

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Answer 2

Answer: supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.

n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.

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Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?
a. $9452.54
c. $12,328.91
b. $11,025.45
d. $10,094.57

Answers

Answer:

He invest $10101.01.

Step-by-step explanation:

Given : Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then.

To find : How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?

Solution :

Using compound interest formula,

$A=P(1+r)^t$

Where, A is the amount A=$15000

P is the principle P=?

r is the rate r=8%=0.08

t is the time t= 5 years

Substitute the value,

$A=P(1+r)^t$

$15000=P(1+(0.08)/(4))^(5*4)$

$15000=P(1+0.02)^(20)$

$15000=P(1.02)^(20)$

$15000=P* 1.485$

$P=(15000)/(1.485)$

$P=10101.01$

Therefore, He invest $10101.01.

Answer:

Step-by-step explanation:

x - initial investment

8% - annual rate

x·=15,000,

so x = 10094.54

ANSWER: $10,094.57

The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5)

Answers

Are you honestly going to sit there with a straight face and promise me
that there are no figures (pictures) that go along with this question ?

Answer:

rhombus

Step-by-step explanation:

I took the quiz and got the question correct. Rhombus is the correct answer.

3. Length of a cubic container is 20 cm .A cube with a length of edges 5 cm will be used to take some water from a water barrel. Determine the maximum number of cubes that need to use to fill the container with water.

Answers

We have l = 20 * 20 * 20 = 8000 cm3

One cube will have l = 5 * 5 * 5 = 125 cm3

-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64

The sine of a 30 degree angle is equal to the cosine of a 60 degree angle.True
False

Answers

Answer:

The sentence is True

Step-by-step explanation:

In Geometry, there is a theorem that relation the sine angle and the cosine angle. The theorem says: The sine of any acute angle is equal to the cosine of its complement.

So, let β represent an acute angle

sin (β)=cos(90-β)

Given β=30, let it replace in the formule:

sin (30)=cos(90-30)

sin (30)=cos(60)

Done.

The answer is True.........................

Multiply the following