Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
2. The Perimeter of a square is P. Which equation could be used to find its area (A)?
a. A = P2
b. A = (p/4)^2
c. A = 4P
d. A = (√p)^2
Answer:
A = (P/4)²
Step-by-step explanation:
Given
Perimeter = P
Required
Determine the area
First, we need to calculate the sides of the square using:
[tex]P = 4L[/tex]
Where L represents the length of the side
Make L the subject
[tex]L = \¼P[/tex]
Area is calculated as thus:
[tex]Area = L\²[/tex]
Substitute ¼P for L
[tex]Area = (\¼P)\²[/tex]
2. What is the slope of the following roof?
3 m
a. 12
b. 3
d. 1.3
075
plz help em with this qustion
what is the square of a sum of six and a number in algebraic expression form?
Given parameters:
Let us solve this problem step wisely;
We are looking for the square of a numberLet the number = x
the sum of this number and 6 is squared6 + x
Squaring gives;(6 + x)²
The algebraic interpretation is (6 + x)²
In problems like this, it is best to first choose a variable and then solve following sentence by sentence.
5/8 divided by 2/8 is it equal to 1 less than 1 or more than 1?
Answer:
More than 1 (2.5 is the answer)
Step-by-step explanation:
more than 1.
Step-by-step explanation:
5/8 ÷ 2/8 is 40/16. when simplified, you get 5/2. change it to decimals and you get your answer
Evaluate m + n for m - 9 and n = 7.
A 2
C 63
B 16
D 97
Answer:
The only thing I can think of is -2.
Step-by-step explanation:
-9 + 7 = -2
I'm not sure if you wrote the questions or the answers wrong, but if I'm reading it right the answer should be -2, not 2. Unless you meant to write 9 + -7, in which case the answer would be 2.
Suppose a grasshopper population is decreasing at a rate of 1% ever 6 months. If the population currently consists of 120,000 grasshoppers, how many grasshoppers will there be in 1 year?
How many grasshoppers will be there in 10 years?
Answer: There will be 117600 grasshoppers in one year and in ten years there will be 96000 grasshoppers.
Step-by-step explanation:
3/2 divided by 1 1/2
Answer:
1Step-by-step explanation:
Hope this helps! <3
( Pic Below )
Hello! Thank you for asking your question!
Have more? Just ask!
Answer:
1
Step-by-step explanation:
1 1/2 as an improper fraction would be 3/2, so 3/2 divided by 3/2 equals 1.
Hope this helps!
Rental car company A charges an initial fee of $35 plus $0.75 per mile. Rental car company B charges $0.50 per mile and an initial fee of $55. For what number of miles will the cost of both rental car companies be the same? True or False: 35 + 0.75x ≥ 0.5x + 55 be used to solve the real-world problem. If false, explain in detail what needs to be changed in the real-world problem so 35 + 0.75x ≥ 0.5x + 55 can be used to solve it.
Answer:
Let it be for x miles.
40+15+0.25x=45+0.35x
10 =0.1x
x=100
The mile is 45+0.35*100= 80 or 40+15+0.25*100 =80
Step-by-step explanation:
Answer:
x=100
Step-by-step explanation:
Velocity can only be described by including both
A.mass and direction of the object in motion.
B.mass and volume of the object in motion.
C.speed and direction of the object in motion.
D.speed and volume of the object in motion.
PLZ help me
Answer:
speed and direction of the object in motion
What is the answer
Answer:
V = IR12 voltsStep-by-step explanation:
Starting with ...
I = V/R
Multiply by R to find V:
IR = V
The equation is ...
V = I·R
__
Using the given values for I and R, we have ...
V = (2)(6)
V = 12 . . . required voltage (volts)
Colby stated that there is no solution to the equation 4( − 8) = 4 − 8. Do you agree or disagree? Explain your reasoning. GET BRAINLYY
Answer:
( ) first -8 x 4 =-32 so diagree
Answser
Disagree
Step-by-step explanation:
With the parentheses it means you multiply 4 x -8. so this means the 4-8 would not equal 4 x -8
What is the solution of
A box of pancake mix containing 2 1/4 pounds costs $3.60. What is the cost per pound?
Answer:
$1.60
Step-by-step explanation:
$3.60 divided by 2 1/4 is $1.60
Robert took a math test and got 36 correct and 14 incorrect answers. What was the percentage of correct answers?
Answer:
Step-by-step explanation:
The percentage is 72% mate. Hope that helps.
Answer:
72%
Step-by-step explanation:
Pls brainly I need it plus I spent a lotta time just to solve this question.
Please include work!
Answer:
y=-80x + 155=10x²,x er
y=40x - 85 - 5x², x er
3 - 6а = 9 - ба
i need help :( !
Answer:
no solution
Step-by-step explanation:
3 - 6а = 9 - ба
Add 6a to each side
3 - 6а+6a = 9 - ба+6a
3 = 9
This is never true so there is no solution
1. y = |x|
Vertex
Domain
Range
Answer:
Vertex: (0.0)
Domain: (Negative infinity, Positive infinity)
Range: (0, infinity)
Find the slope of the line containing the pair points (9,5) (6,4)
Answer:
y=1/3x+2
Step-by-step explanation:
which one is it for the answer
10*10*10*10*10*7867 equal 786700100
-2x + 5 = 10
Anyone know this? I need it quick
Answer: x = -2.5
Step-by-step explanation:
Subtract 5 on each side to get -2x = 5
then divide both sides by -2 to get x = -2.5.
Please help!!! I really don’t get this only I get where the 3 are but please help me for the 4/5 and -0.4!
Answer:
-0.4 should be in between 0 and -0.5, however be as close to -0.5 as possible while not being ON -0.5.
3 4/5 should be in between 3 and 4, so you can split 4/5 into 8/10 which are equal to each other. Then you can pretend to split the 3 and 4 gap into 10 equal pieces. After you split the gap, count 8 parts to the left of 3.
Step-by-step explanation:
I hope you understand what I mean.
Compare
[tex] \sqrt{7} \: and \: 1.2[/tex]
[tex] = \: or \: < \: or \: > [/tex]
help please!!!! LOLLL
Answer:u
Step-by-step explanation:
Answer:
there is no pic
or i just cant see it
Step-by-step explanation:
351 chairs in 27 rows
Answer:13
Step-by-step explanation:
Answer:
9477
Step-by-step explanation:
if u multiply them
Find the distance between the points (2,0) and (-4,6)
Answer:
let's see what to do buddy...
Step-by-step explanation:
We have this equation to find the distance between two points :
a = ( 2 , 0 ) and b = ( -4 , 6 )
[tex]distance = \sqrt{ {( \: y(b) - y(a) \: })^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]
Now just need to put the coordinates in the equation :
[tex]distance = \sqrt{ ({6 - 0})^{2} + ({ - 4 - 2})^{2} } \\ distance = \sqrt{ {6}^{2} + ({ - 6})^{2} } = \sqrt{36 + 36} \\ distance = \sqrt{36 \times 2} = 6 \sqrt{2} [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Write an equivalent expression in standard form for
(5x-4y)(7x2-12x+27).
Answer:
[tex]10x^{2} +135x-8xy-108y[/tex]
Step-by-step explanation:
Use the distributive property, remove the parentheses, and collect the terms.
Which represents an even function?
A. y = cos(x)
B. y = sin(x)
C. y = tan(x)
D. y = cot(x)
NVM I DID IT
ANSWER: A
Answer:
A. y=cos(x)
Step-by-step explanation:
I just want the points. im taking the quiz rn.
From the given options, the only even function is the cosine function, so the correct option is A.
Which of the options is an even function?First, an even function is a function with the property:
f(x) = f(-x)
So these functions are symmetrical across the y-axis.
Is ratter easy to remember that the sin function is actually odd, this means that:
sin(-x) = -sin(x).
Then the tangent function (and the cotangent function) are also odd, because:
tan(x) = sin(x)/cos(x).
In the other hand, for the cosine function we have:
cos(-x) = cos(x)
And as shown in the graph below, it is symmetrical across the y-axis.
Then we conclude that the correct option is A.
If you want to learn more about even functions:
https://brainly.com/question/2284364
#SPJ2
what is the first step when solving two step equations
Pls help ASAP! I’ll give BRAINLIEST and 5 star rating if correct!! 20 pts?
Answer:
The correct answer is 2. I hope this helps!
Step-by-step explanation:
I am almost 100% sure that this is the answer.
Answer:
2
Step-by-step explanation: