Mathematics High School

A. Explain how you know that Triangle ABC is similar to Triangle A'B'C'. (use complete sentences and show all your work to get full credit)

B. If AC = 8, A'C' = 12, and AB = 20 what is the length of A'B'?

A. Explain How You Know That Triangle ABC Is Similar To Triangle A'B'C'. (use Complete Sentences And

Answers

Answer 1

Answer:

A. Since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.

B. A'B' = 30

Step-by-step explanation:

A. Two triangles are said to be similar if their corresponding angles are congruent to each other.

To know whether ∆ABC and ∆A'B'C' are similar, let's find the measure of their angles each, and see if their corresponding angles are congruent to each other.

∆ABC:

m<A = 59°

m<B = 37°

m<C = 180 - (37 + 59) = 84°

∆A'B'C':

m<A' = 59°

m<B' = 180 - (59 + 84) = 37°

m<C' = 84°

As we can see,

Angle A is congruent to Angle A'

Angle B is congruent to Angle B'

Angle C is congruent to Angle C'

Therefore, since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.

B. AC = 8; A'C' = 12; AB = 20

Since ∆ABC is similar to ∆A'B'C', the ratio of their corresponding sides would be equal.

Therefore:

AC/A'C' = AB/A'B'

Plug in the values into the equation

8/12 = 20/A'B'

Cross multiply

A'B'*8 = 20*12

A'B'*8= 240

Divide both sides by 8

A'B' = 240/8

A'B' = 30

Related Questions

(80i) – (80 + 101) =
Express your answer in the form (a + bi).

Answers

Answer:

- 80 + 70i

Step-by-step explanation:

Given

80i - (80 + 10i) ← distribute by - 1

= 80i - 80 - 10i ← collect like terms

= - 80 + 70i

Answer:

(80 i) - (80 + 101)

80 i - ( 181)

-181 + 80 i

Step-by-step explanation:

In Exercises 8-9, write a linear function f with the given values.
8. f(1)=3,f(3)=4
9. f(6)=9,f(-5)=0

Answers

Answer:

yo add me on intagram Its_yo-Boy_Jonathan65

Step-by-step explanation:

Which of the following is equivalent to 12x + 6?

Answers

Answer:

6  ( 2 x + 1)

Step-by-step explanation:

6 (2x+1)
I think but im not 100 percent sure

The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.

Answers

Answer:

the distance for 7 minutes is 210m

the distance for 10 minutes is 300m

the distance for 14 minutes is 420m

the distance for 29 minutes is 600m

Step-by-step explanation:

d=30(7)

d=210

d=30(10)

d=300

d=30(14)

d=420

d=30(20)

d=600

What is the difference between ordering numbers, comparing numbers, and comparing amounts?

Answers

Answer:

different definitions

Step-by-step explanation:

ordering numbers can be seen as arranging the numbers by a certain characteristics. for example, you could order numbers from least to greatest

comparing numbers can be seen as looking into two or more numbers rather than the entire group of numbers. for example, if there were the numbers 1, 2, 3, 4, 5, 6, you could say that 2, 4, 6, are even numbers

comparing amounts could be determined by worth but not the numerical values. for example, you could have a gallon of milk and a quart of orange juice but just by the size of the container, a gallon of milk is bigger and holds more than a quart of orange juice

The following two triangles are similar. Find x

A.) 4
B.) 6
C.) 7
D.) 5

Answers

It’s C because if you divide 48 by 8 you get 6 so 56 divided by 8 equals 7 which is C

The value of x is 7.

Option C is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two similar triangles.

56/48 = x/6

Cross multiply.

x = (56 x 6)/ 48

x = (7 x 6)/6

x = 7

Thus,

x is 7.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Is 23 x 10^8 written in scientific notation

Answers

Answer:

yes,it is written in scientific notation.

Yes, the given number is written in scientific notation.

What is scientific notation?

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Yes, 23 x 10^8 is showing a specified degree of accuracy.

Therefore, it is written in scientific notation.

For more references on scientific notation, click;

https://brainly.com/question/18073768

#SPJ1

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SAS
B.) AA
C.) SSS
D.) Not enough information given

Answers

The answer would be C which is SSS

Given the exponential function [tex]f(x) = 9(3)^x[/tex], what is the value of f(x) when x =-1

Answers

Answer:

f(-1) = 3

General Formulas and Concepts;

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 9(3)ˣ

x = -1

Step 2: Solve

Substitute:                    f(-1) = 9(3)⁻¹Evaluate:                       f(-1) = 9(1/3)Multiply:                        f(-1) = 9/3Divide:                           f(-1) = 3

HURRY ASAP HELP




Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?

Answers

Step-by-step explanation:

Store A:

6% of 1,200 is 72

72 + 1,200 = 1,272

Thus, store A has a total of 1,272

Store B:

7% of 1,350 is 94.5

94.5 + 1,350 = 1444.5

Thus, Store B has a total of 1444.5

1444.5 - 1,272 = 172.5

Thus, Store A is cheaper.

Answer:

sales tax- rate×original amount

A- 6/100(1200)=72

B- 7/100(1350)=94.5

Mrs. Kidd is five feet 3 inches tall. If one inch is approximately 2.5 centimeters, how many centimeters tall is Mrs. Kidd? Do NOT round or label your answer

Answers

Answer:

Mrs.kidd is 162.5 centimeters tall

Step-by-step explanation:

5 foot 3 inches is 63 inches

63 times 2.5 = 162.5

Mrs.kidd is 162.5 centimeters tall

Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?

Answers

Answer: 12 bottles left

Step-by-step explanation:

18-6=12 bottles

Answer:

Johnny will have 7 beer bottles left.

Step-by-step explanation:

Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP

Answers

your anser would be 19

let me now if u have a questions have a nice day

and Thanks :)

I need help on photo above please!!!

Answers

Option two is the correct answer
Hope this helps :)

5y + 10x = 0
y = - 3x

Plz help me the photo is the directions for the problem

Answers

When substituting, you want to take the y value from one equation and plug it into the y variable in the other equation to find the x value. When you find the c value, you plug the number into one of the equations to get your y value.

Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)

Answers

Answer:

B. 4400

Step-by-step explanation:

-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400

Correct option is B.

A pet store has 40 animals for sale and 15 of them are puppies what is the ratio of animals that are not puppies to the total number of animals for sale at the pet stor

Answers

Answer: 5:8

Step-by-step explanation:

Given: Total animals in the pet store = 40

Number of animals that are puppies= 15

Number of animals that are not puppies= 40-  15 = 25

Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.

So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]

Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].

Hence, the required ratio = 5:8

what is the solution for 36.16=17.56+5x

Answers

Answer:

x=3.72

Step-by-step explanation:

Answer: x = 3.72

Step-by-step explanation:

36.16 = 17.56 + 5x

-17.56 = -17.56

18.6 = 5x

Divide 18.6 by 5 and divide 5 by 5.

3.72 = x

pic below...........
..............
look below

Answers

Answer:

3

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

2.25 or fraction 9/4

Step-by-step explanation:

can you please help meee ,due at 11!

Answers

1 is B and then 2 is A

an equation of the line that passes through (2, −4) and (0, −4).

Answers

Answer:

what

Step-by-step explanation:

Answer:

y = 0x - 4

Step-by-step explanation:

The slope is 0

• Samir and Jillian share a phone plan. Each month they can use a combined total of up
to 8 GB of data. So far this month, Samir has used 4.23 GB and Jillian has used 2.89 GB.
They want to know whether they still have data left to use.
.) Find the
sum
of Samir's and Jillian's data.
Compare that amount to
8
GB.
) An exact calculation is not necessary to solve the problem.
You can approximate the sum by rounding the addends.
• Round each person's data to the nearest gigabyte.
Samir:
GB
Jillian:
?
GB
7
8
9
4
5
6

Answers

Answer:

72GB

Step-by-step explanation:

Answer:

7 GB

Step-by-step explanation:

Just did this

2. An electric fan has a resistance of 3.0 kN and a voltage rating of 220 volts. What
is the current needed to operate the electric fan?
Given:
Resistance (R)
ka x (1000/1 kg) =
volts
Voltage (V)
Required: Current (1)
Formula:
voltage
resistance
Solution:
V-IR
Answer:
Current =
A, the current needed to operate
the electric fan​

Answers

Answer: 73.33A

Step-by-step explanation:

Resistance (R)= 3.0 kN

Voltage (V)= 220 volts

Current (I)= Unknown

The formula to calculate the current will be:

Current = Voltage / Resistance

Current = 220 / 3.0

Current = 73.33 A

Therefore, the current needed to operate the electric fan is 73.33.

In right triangle XYZ, the tangent of acute angle X is 4. What is the secant of angle X?

Answers

Answer:

The secant of angle x; sec x = √17

Step-by-step explanation:

Here, given the tangent of an angle, we want to find the value of the secant

Mathematically;

sec^2 x = 1 + tan^2 x

This is from trigonometric identity

Thus;

sec x = √(1 + tan^2 x)

According to the question;

tan x = 4

So tan^2 x = 4^2 = 16

Thus;

sec x = √1 + 4^2

sec x = √17

Graph y < -x - 1, I do not understand what to do without a slope given.

Answers

Answer:

Step-by-step explanation:

If you are not given a number before x always assume it is a 1 and if there are no visible denominators also assume that it is 1

In this case the inequality reads y<-1x/1-1

The slope is -1/1x or fall 1 crawl 1

The y-intercept is -1

I looked up the graph...

distribute 3(7x - 8)

Answers

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

5÷4/9 help mee :_<<<<<<​

Answers

Answer:

45/4 I think

Step-by-step explanation:

you would do keep flip switch

so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4

hopefully this helps you

Answer:

5 divided by 4/9 equals 45/4, or 11.25

Step-by-step explanation:

Which answer choice best describes 3x ?
terms
constant
coefficient
factor

Answers

It is a term.....................

Simplify –36 = (-3) + 2(27 + 3 x 2)
B
с
21
48
108
252

Answers

Answer:

I don't understand the question what is the quarter????

HELP!!BRAINLIEST AND 10 POINTS

Answers

Answer:

A

Step-by-step explanation:

I think that's da answer I hope it help ya

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