Let me fill in the statement reasoning for you:
Statement | Reasoning
∆ABC ~ ∆RST Given
∆DEF ~ ∆RST
∠A = ∠R, ∠D = ∠R Definition of ~ ∆
∠C = ∠T, ∠F = ∠T
∠A = ∠D,∠C = ∠F Transitivity
∆ABC ~ ∆DEF AA
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for their rent and bills. Rhonda's paycheck is modeled by the function r(x)=22x+50,r(x)=22x+50, where xx is the number of hours worked. Shalene's paycheck is modeled by the function s(x)=30x−25,s(x)=30x−25, where xx is the number of hours worked. Which function represents their household income if they work the same number of hours?
Answer:
(r+s)(x)=52x+25
Step-by-step explanation:
i dont know how to explain but this is what I choose and it was right.
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
Answer:
6 weeks
Step-by-step explanation:
You need to write an equation for each.
For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.
For Elena, she has 10 dollars, and gets 20 each week.
Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.
Andrew:100+5(4)=100+20+120
Elena: 10+20(4)=10+80=90
Andrew has more money in this time.
To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.
Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.
100+5w=10+20w
90+5w=20w
90=15w
90 divided by 15=6
w=6
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
what is a linear equation
Answer:
A linear equation is an algebraic equation of the form y=mx+b. Where m is the slope and b is the y-intercept. A linear equation most times is called a "linear equation of two variables," where y and x are the variables.
Step-by-step explanation:
What is the greatest common factor (GCF) of 15 and 64?
1. (3)
2.(4)
3.(8)
4.(1)
Answer: 1 or D
Step-by-step explanation:
What is the probability of NOT choosing a 4?
9/16
7 of the squares are 4 so we just substract that from the total of 16 and we get 9
Find the solution of the system of the equation 4x+10y=-24
-2x+y=-24
Answer:
4x+10y=-24
-2x+y=-24
2x+11y=-48
48+2x=0
48+11y =0
48=2x
48=11y
48/2 =2x/2
48/11=11y/11
x=24
y= 48/11
Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)
Answer: 50.24 cm²
Step-by-step explanation:
ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM
The formula for the area of a circle is pi(3.14) * r(4)^2
[tex]3.14*4^2[/tex]
[tex]3.14*16[/tex]
[tex]50.24[/tex]
Hope it helps <3 :D
HELP‼️❗️‼️❗️‼️❗️‼️
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions
Ones that have an answer intersect.
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form
(-3,5). (3.3)
Answer:4/3 i think
Step-by-step explanation:
Answer:
Point-slope form:
[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]
Slope-intercept form:
[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]
Step-by-step explanation:
We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).
First, we will find the slope between the two points. By the slope formula:
[tex]\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}[/tex]
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:
[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]
Is the point-slope form*.
To find the slope-intercept form, we simply need to isolate y. Distribute:
[tex]\displaystyle y-3=-\frac{1}{3}x+1[/tex]
Adding 3 to both sides yields:
[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]
This is slope-intercept form.
*If you use the other point, the point-slope form will be:
[tex]\displaystyle y-5=-\frac{1}{3}(x+3)[/tex]
Can somebody give the answer pls
Answer: OOO I KNOW THE FOURTH ONE
Step-by-step explanation: y^2 + z^2 = x^2
Answer:
D
Step-by-step explanation:
According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words
[tex]y^{2} + z^{2} = x^{2}[/tex]
please i need help
and I need to have work
ds here so I guease this ends a conversation please help
Answer:
Step-by-step explanation:
9 is 4a + 6b - 3c
10 is 2x(small 2) - 6 + 5x
11 is 5 - 2d
12 is - 3x
13 is - a - b
14 is 7c + 9d
15 is 4x(small 2) + 9x - 16
16 is 12y -14
17 is 2a(small 2) + 3ab
I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )
please with full explanation please it's urgent
Answer:
u have some very good handwriting
Find the area of the
triangle.
Answer:
472.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Base (b) = 30 yd
height (h) = 31.5 yd
Area of the triangle
= 1/2 * b * h
= 1/2 * 30* 31.5
=472.5 yd²
7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!!
Answer:
x=0
Step-by-step explanation:
You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.
Find the value of x.
Color of socks
Number of socks
white
8
black
7
blue
2
brown
3
From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15
Answer:
D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3
A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the current and 22 km with the current. Find the speed of the river current if the team rows a total of 3 hours.
Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
Heng tried to define a reflection across line r.
Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.
Which counterexample shows that Heng's definition does not fully define a reflection?
The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D
How to determine the counterexampleConsider the counterexample in which point M is above line r and the line itself is a vertical line.
Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.
However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.
Learn more about reflection at: https://brainly.com/question/1908648
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Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
Is this a function?
Help me plz and i will give you the brainlest
Answer:
It is a function because the input values are different.
WILL GIVE BRAINLIST IF U CAN SOLVES THIS PROBLEMhbigbg75585t85g7b7g5g7gghghgh75hg74h8t58gh8h54th784t75ty84t7y974t+ggnonthn4nhhhn =?
Answer:
hehe
Step-by-step explanation:
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2.5( 2 + 2) x (2^2 + 2^2) =
Answer:
80
Step-by-step explanation:
2.5(2+2) x (2^2+2^2)
2.5(4) x (4+4)
10 x 8
80
your answer is 80 :)
Answer:
80
Hope this helps :3
A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?
Find the surface area of the figure .
Answer:
356.4
r =4
h =12
just put it in this formula
2 pie r ( r + h )
GOOD LUCK FOR THE FUTURE! :)
What is X for brainliest
Answer:
the value of x is 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is
[tex]\frac{3x}{4}[/tex] = [tex]\frac{7.5}{2.5x}[/tex] ( cross- multiply )
7.5x² = 30 ( divide both sides by 7.5 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
[tex]x=9[/tex]
Now,
[tex]CD=2x[/tex]
[tex]CD=2(9)[/tex]
[tex]CD=18[/tex]
And,
[tex]CE=CD+DE[/tex]
[tex]CE=18+9[/tex]
[tex]CE=27[/tex]
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
The measure of CD and CE are 18 and 27 respectively
From the given diagram, the following are true:
CD = 2DEGiven that DE = 9
CD = 2(9)
CD = 18
Similarly;
CE = CD + DE
CE = 18 + 9
CE = 27
Hence the measure of CD and CE are 18 and 27 respectively
Learn more on centroid here: https://brainly.com/question/25845737
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP
Answer:
156 dollars
Step-by-step explanation:
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication