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3 years ago

Find the measures of the indicated angles in circle O. Which statement is NOT true? (The figure is not drawn to scale.)

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

Answer:

c = 73

Step-by-step explanation:

We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.

The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.

B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106

b and c are supplementary (they fall in a line and thus add up to 180 degrees). So

106 + c = 180

c = 180 - 106 = 74

<em>Looking at the answer choices, c is given as 73, which is wrong! Hence, </em><em>last statement is not true.</em>

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in a class of 32 students the mean height of the 14 boys is 1.56 meters and the mean height of all 32 students is 1.151 meters.

Nimfa-mama [501]

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

( since sum of height of girls and boys is equal to the sum of height of all the students)

so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

4 0

3 years ago

Good Morning/afternoon

mote1985 [20]

Answer:

school is a problem

Step-by-step explanation:

Have a great day!!!

5 0

2 years ago

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Julia is going for a walk through the neighborhood. What unit of measure is most appropriate to describe the distance she walks?

Kryger [21]

Answer:

Possibly meters or feet/yards.

A walk through a neighborhood would be less than a mile/kilometer but much further than an inch/centimeter.

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2 years ago

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You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a

Lady_Fox [76]

<h2>○=> <u>Correct option</u> :</h2>

$\color{plum} \bold{ \tt \: \bold{C. \$20,652.00}}$

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

$= \tt \frac{8.3}{10 \times 100} \times 1900$

$= \tt \frac{8.3 \times 19000}{1000}$

$= \tt \frac{1577000}{1000}$

$\color{plum} = \tt \$1577$

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

$= \tt19000 + 1577 + 75$

$\color{plum} = \tt \$20652$

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is <em>(C) $20,652.00</em>

6 0

2 years ago

Good science requires that you record your observations accurately.<br><br><br><br> TrueFalse

enyata [817]

Answer:

True.

Step-by-step explanation:

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2 years ago