Mathematics High School

Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!


Topic: Perpendicular to Chord Property

Solve The Following Problems. Remember That All Reasoning Must Be Explained, And All Steps Of Math Work

Answers

Answer 1

Answer to Question 1:

<OGE (also m˚) = 19˚

Step-by-step explanation:

We know that all the angles in a triangle add up to 180˚.

Given:

<EGO = 71˚

<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)

To Solve:

⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:

71˚ + 90˚ + <OGE = 180˚

⇒ Solve for <OGE by simplifying:

161˚ + <OGE = 180˚

⇒ Subtract 161˚ from both sides to get:

161˚ − 161˚ + <OGE = 180˚ − 161˚

⇒ Isolate <OGE:

<OGE = 19˚

Answer: <OGE (also m˚) = 19˚

Answer:

<OAC (also x˚) = 50˚

<OCB (also y˚) = 90˚

Step-by-step explanation:

–How to solve for <OCB (also y˚)

Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.

Answer: <OCB (also y˚) = 90˚

–How to solve for <OAC (also x˚)

Given (and what we can already know):

<AOC = 40˚

<OCA = 90˚

⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.

To Solve:

⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:

40˚ + 90˚ + <OAC = 180˚

⇒ Solve for <OAC by simplifying:

130˚ + <OAC = 180˚

⇒ Subtract 130˚ from both sides to get:

130˚ − 130˚ + <OAC = 180˚ − 130˚

⇒ Isolate <OAC:

<OAC = 50˚

Answer: <OAC (also x˚) = 50˚

I hope you understand and that this helps with your question! :)

Related Questions

A store charges customers $85 for a video game. This is 170% of what the store paid for the game.

How much did the store pay for the game?

How much money does the store profit (make) off of the sale of a video game?

Answers

Answer:

100÷170×85=$50

85-50=$35

Cam’s Sports is offering 20% OFF a basketball that costs $20. The same basketball costs $14.99 at Hoops Haven. Which store offers the better price? What is the better price?

Answers

Answer: Hoops Haven

Step-by-step explanation:

6) Jesse is buying a home for $450,000 at 7.8% interest and Jesse is putting 30% down? He wishes to buy 3 points what is the cost of the points?

Answers

Answer:

$9450

Step-by-step explanation:

Given that:

The price of the home = $450000

The interest = 7.8%

Down payment = 30% of price of the home

i.e 0.3 × 450000 = 135000

The principal outstanding balance = 450000 - 135000

= 315000

Finally, the cost of 3 points will be;

[tex]= 315000 \times \dfrac{3}{100}[/tex]

= $9450

Solve the system by substitution 10x-2y=-16 and y=3x

Answers

The answer would be x=-4.

I need help finding the answer

Answers

Answer:

the slope is 1/2 and the y-int is -3

Step-by-step explanation:

slope is mx (find 2 points, and do rise over run)

y int is b

The local frozen yogurt shop determines the total cost of a cup of yogurt using the formula y = 2 + 0.75x, where x represents the number of ounces. If you can spend between $2 and $5, what is the DOMAIN of this situation

Answers

Answer: 0 ≤ x ≤ 4

Step-by-step explanation:

The cost equation can be written as:

y = $2 + $0.75*x

Where x is the number of ounces that you buy.

If you can spend between $2 and $5, then we have the inequality:

$2 ≤ y ≤ $5

replacing y by the above equation:

$2 ≤  $2 + $0.75*x ≤ $5

Now let's solve this for x.

$2 - $2 ≤ ($2 + $0.75*x) - $2 ≤ $5 - $2

$0 ≤ $0.75*x ≤ $3

now we can divide bt $0.75 in the 3 sides:

$0/$0.75 ≤ ($0.75*x)/$0.75 ≤ $3/$0.75

0 ≤ x ≤ 4

Then the domain is:

D: 0 ≤ x ≤ 4

or we can also write this as:

D = x ∈ [0, 4]

What is the solution to the system of linear equations graphed below?

On a coordinate plane, 2 lines intersect at (0.5, 4).
(0, 4)
(4, one-half)
(one-half, 4)

Answers

Answer:

D

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

i need help i dont understand​

Answers

Answer:

D. 1/3^3

Step-by-step explanation:

Divide 3/3 as usual and get 1.

When dividing exponents, you are actually subtracting them. 5-8 = -3.

D is the answer because positive exponents in the denominator of the fraction is the same as a negative exponent in the numerator.

The rule with exponents is that when dividing similar bases with different exponents (or power), you subtract the exponents respectively.

3⁵ / 3⁸ = 3⁽⁵ ⁻ ⁸⁾ = 3⁻ ³ = 1 / 3³

So the answer is

D) 1/3³

im really confused someone plz help

Answers

Answer:

63 Seconds

Step-by-step explanation:

The reason how I got this is I divided 36 by 4 to get 9 seconds per handspring, next I multiplied 7 by 9 to get the answer.

Answer:

63

Step-by-step explanation:

If gymnast can do 4 back handsprings in 36 seconds , then for 1 backspring the gymnast took 36/4 = 9 seconds.

If the gymnast took 9 seconds for 1 back handsprings, Time taken by the gymnast to do 7 backsprings = 9×7 = 63 seconds

Last year, wind turbines along a hilly ridge had an average output of 440 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 45% more. What is the new average yearly output?
please help

Answers

Answer:

So your told that its 440 KWH per year They were upgraded to reflect a 45% change So you multiply the total × % change 440 × 0.45 =198Add the new found total to the old yearly total440+198= 638 KWH for the new turbine

Rate positively and give brainlist

Pets R Us claims in their advertisement that they have the best price in town for ChowChow dog food. They sell 20-pound bags for s1695. Stuffapets also claims to have the best price in town for
ChowChow dog food. They are selling 30-pound bags for $24.95. Which store has a valid claim?
Pets R Us: 20-
pound bags for
$16.95
Stuff4Pets: 30-
pound bags for
$24.95

Answers

Answer:

stuff4pets has better price by 2 cents

Step-by-step explanation:

unit rate for chowchow is 16.95/20 = $.85 per pound

unit rate for stuff4pets is 24.95/30 = $.83 per pound

Answer:

Stuff4pet has a valid claim

I am very sure

Step-by-step explanation:

Joey has won 3 out of the last 8 games of cards he has played with his brother. They play 16 more games, how many of those games does Joey expect to win?

Answers

Answer:

6 games

Step-by-step explanation:

Joey has won 3 out of the last 8 games of cards he has played with his brother. They play 16 more games, how many of those games does Joey expect to win?

8 games = 3 won

16 games = x

Cross Multiply

8x = 16 × 3

8x = 48

x = 48/8

x = 6

If they play 16 more games, Joey expects to win 6 games

Answer:

6 games

Step-by-step explanation:

2 x 8 = 16 so, if he won 3 out of 8 he will expect to win another 3 games.

Help me please!!!!!!

Answers

Answer:

1. Equatoin = y = 2/9x + 1   Slope = 2/9   Y- interpects= 1

 2.Equatoin =  y= 7/5x - 7  Slope = 7/5   Y- interpects= 7

Step-by-step explanation:

HURRY I NEED THE ANSWER !!!!!!

Which equation corresponds to the graph shown? ​

Answers

Answer: y=x^2+1 or C

Step by Step Explanation:
That graph happens when x^2, then you can see the graph is up one so the y-intercept is 1, so the equation is y=x^2+1

y = 230X + 100

What is the constant rate

Answers

Answer: y 12 6 4 3. - 2 Y x 1 | 2 | 3 | 4 |. | y | 7 | 5| 3 1. 3.

Step-by-step explanation:

Pls help im like 5 hrs behind in math

Answers

Answer:

The composite area is a total of 62 square inches.

Step-by-step explanation:

You're given three rectangles of different width and height.  To find the correct answer, you need to find the sum of each rectangles' area.

first though we need to find the height of the middle rectangle.  We are told the total height and the other two rectangles' heights, so we just need to subtract the others' heights from the total:

10 - (4 + 1.5)

10 - 5.5

= 4.5

So the middle rectangle is 4x4.5 inches, giving it an area of 18 square inches

The top one is 8x4 inches for a total of 32 square inches.

And the bottom one is 1.5x8 inches, for a total  12 square inches.

If we add them all up, that's 18 + 32 + 12 square inches, or 62 square inches.

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

Answers

Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

PLS HELP AND EXPLAIN HOW TO DO THIS, ILL GIVE BRAINLIEST

Answers

Answer:

C. 8

Step-by-step explanation:

f(5) =1/4(2)^5

because x=5

f(5)=1/4(32)

because 2^5 is 2*2*2*2*2=32

f(5)=8

because 1/4*32 or 32/4 is 8

Hope this helped :) I haven't even learned f(x) in school yet haha. I'm in 8th grade, but I took extracurriculars for math and I'm on the math team. Ergo, I know it's right!

Explain how to graph y+4=6 on a graph

Answers

Answer:

It will be a straight line in the Y intercept of 2.

So basically it would be a horizontal line passing through the number two.

Which two operations are needed to write the expression that represents "five less than the quotient of a number anc
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition

Answers

Division and subtraction

Answer:

Division and subtraction/B

have a good day/night :)

Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p)(p)left parenthesis, p, right parenthesis she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
How many people can Rita feed with 55 pancakes?

Answers

Answer:we can solve the problem by setting a simple proportion.

We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:

Solving the proportion, we find

So, 55 pancakes can feed 20 people.

Step-by-step explanation:

22 pancakes = 8 people

--------------------------------------
Find 1 pancake :
--------------------------------------
1 pancake = 8 ÷ 22
1 pancake = 4/11 of a person

--------------------------------------
Find 55 pancakes :
--------------------------------------
55 pancakes = 4/11 x 55
55 pancakes = 20 people

----------------------------------------------------------------------------
Answer: 55 pancakes can feed 20 people.

Answer!?______________

Answers

Answer:

collen

Step-by-step explanation:

7% is 63c so 6% would be 54c

in turn collen pays more

Answer:

Brad pays less tax. He pays $0.08 more

Step-by-step explanation:

Collen pays $1.40 towards sales tax

Brad pays $1.32 towards tax

If anyone knows the answer please help me

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x - 10 ← is in slope- intercept form

with slope m = 7

Parallel lines have equal slopes, thus

m = 7 and point on line is T(- 3, 3 )

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line, then

y - 3 = 7(x - (- 3) ), that is

y - 3 = 7(x + 3) → D

The length of the sides of a square is given by the expression 4.8x + 2.4. Which expression represents the perimeter of the square?​

Answers

Just multiply the expression by 4.
4(4.8x + 2.4)
19.2x+9.6

Find the third side in simplest radical form: √92 6
​

Answers

8 is the answer just had this

Omar drove 819 miles in 13 hours At the same rate, how many miles would he drive in 9 hours

Answers

Answer:

7384

Step-by-step explanation:

What is the slope of the following equation? 8x+3y=9

Answers

The slope is -8/3 :-) Hope this helps

Answer:

The answer is -8/3.

Step-by-step explanation:

First, you have to make y the subject :

8x + 3y = 9

3y = -8x + 9

y = (-8/3)x + 3

In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.

The original price of watch was $84. In a holiday sale, it was sold at $63. What was the percentage discount for the watch?

Answers

Answer:

pretty sure 25% off

Step-by-step explanation:

Percentage decrease = Original value- New value / original value
84-63/84 x 100 =25%

Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:113

Step-by-step explanation:

I’m not really sure but the exterior angle lies on a straight line meaning that it has to amount to 180 degrees. 67 + x =180 so x = 180-67 which is 113. But I’m not entirely sure bout this.

Step-by-step explanation:

67-180=113

x=113

and the third corner =15 degrees

A logarithm is
A)
a number whose base is not equal to its exponent.
B)
the number you get when your raise a base to an exponent.
C)
the base that you raise to a power in order to get a number.
D)
the exponent that you'raise a base to in order to get a number.

Answers

Answer:

The answer for the question is C

Answer:

The answer is D.) the exponent that you raise to a base in order to get a number.

Step-by-step explanation:

I got it on usatestprep.

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