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'?
Answers
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
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
(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:
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
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. 4400Step-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 = 4400Correct option is B.
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
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:
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
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.
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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...
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
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
Which of the following is equivalent to 12x + 6?
Answers
Answer:
6 ( 2 x + 1)
Step-by-step explanation:
I think but im not 100 percent sure
can you please help meee ,due at 11!
Answers
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????
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:
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 :)
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: BPEMDASStep-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) = 3HURRY 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
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
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:
Which answer choice best describes 3x ?
terms
constant
coefficient
factor
Answers
The following two triangles are similar. Find x
A.) 4
B.) 6
C.) 7
D.) 5
Answers
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.
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HELP!!BRAINLIEST AND 10 POINTS
Answers
Answer:
A
Step-by-step explanation:
I think that's da answer I hope it help ya
• 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
I need help on photo above please!!!
Answers
Hope this helps :)
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
5y + 10x = 0
y = - 3x
Plz help me the photo is the directions for the problem
Answers
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:
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.