MATHEMATICS HIGH SCHOOL

In the above figure (not drawn to scale), Find ∠AEC. A. 150°
B. 90°
C. 75°
D. 105°
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Answers

Answer 1
Answer:

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

m\angle AEC=(110^o+40^o)/(2)

m\angle AEC=(150^o)/(2)

m\angle AEC=75^o

Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
Answer 2
Answer:

Answer : C. 75°

Given : arc length AC=110, CB=20, AD=190, and BD=40

We need to find ∠AEC

The below is the formula for measure of an angle formed by two chords

∠AEC = (1)/(2) ( arc AC + arcBD)

We know arc AC = 110 and arc BD = 40

So ∠AEC = (1)/(2) ( 110 + 40)

= (150)/(2) = 75

∠AEC = 75 degrees

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The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?

Answers

If the weight of hardcover version is double the weight of paperback version then weight of hardcover version is 2.8 pounds and the weight of paperback version is 1.4 pounds.

What is equation?

An equation is a relationship between variables in equal to form. It is evaluated to find the values of variables.

How to solve an equation?

The weight of hardcover book is h

The weight of paperback version is p.

According to question:

h=2p (weight of hardcover version is double the weight of paperback version)

h+ p= 4.2 (weight of hardcover version and weight of paperback version is equal to 4.2 pounds)

Put the value of h=2p in h+ p=4.2

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Hence the weight of hardcover version is 2.8 pounds and the weight of paperback version is 1.4 pounds.

Learn more about equations at brainly.com/question/2972832

#SPJ2

Answer:

D

Step-by-step explanation:

on edge 2023

Equivalent fractions of 4/5

Answers

(8)/(10) (16)/(20) (12)/(15)
Hope this helps :)
A fraction equivalent to 4/5 is 8/10,also 12/15.To find an equivalent fraction all you have to do is multiply the numerator and denominator by the same number.

Bob tells mark he has 3 kids, the product of their ages is 72, this is not enough info so he gives the sum of the ages then finally say My youngest child called Justice. What is the ages of the kids?

Answers

72 divided by 3 is 24.But he has a youngest child so there not all the same age. the 2 older is 26 and the youngest is 20 it would still equal 72. JUST IN CASE ITS A TRICK QUESTION.Either way you could change it up if you want it to be younger just take away 2 number from the other to.
24 because if the sum is 72 you divide 72 by 3 and you get 24

PLEASE HELP

Which of the following questions are correct? Select all that apply.

Answers

Answer:

I think A and D are both correct

Moneys taken out of a salary for such things as taxes, medical insurance, and retirement funds are called A. exemptions.
B. contributions.
C. commissions.
D. deductions.

Answers

They are known as deductions, or deductibles,because they are deducted from your wage, before it goes into your bank account.
The answer is D
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What are the solutions to 3x^2+12x+6=0?

Answers

Please see the pic, I'd solved in it.
We use the quadratic formula

x = \frac{-b +or- \sqrt{b^(2)-4ac } }{2a}

3x² + 12x + 6 = 0
 ║        ║     ║
a=3   b=12 c=6

Plug it in:
\frac{-12 +or- \sqrt{12 ^(2) -4(3)(6)} }{2(3)}
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Solutions:
sol.1=(-12+ √(72) )/(6)
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sol.2 =(-12- √(72) )/(6)
         = -3.41421
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