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Explanations:
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Part (a)
Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.
Put another way: (distance from X to Y) = (distance from X' to Y)
So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.
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Part (b)
As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.
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Part (c)
Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'
Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.
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Part (d)
This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.
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Part (e)
This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.
A T-shirt design company charges your team an initial fee of $25 to
create the team's design. Each t-shirt printed with your design costs an
additional $8. How much does it cost you to buy 10 shirts? **Don't forget
the initial fee.**(hint: determine the equation first y = _X + __ and then
plug in 10 for x)
Answer
$305 hope this helps!!! :)
Step-by-step explanation:
(A)
Let [tex]x[/tex] be the number of T-Shirts and [tex]y[/tex] be the total costs so that the total cost is:
Total Cost= $25+ $8 times the number of T-Shirts
(B) [tex]y=25+8x[/tex]
For 35 members we need 35 T-Shirts so using the Linear model from part (A) substitute [tex]x[/tex] to 35 and solve for [tex]y[/tex]:
[tex]y=25+8(35)[/tex]
[tex]y=25+280[/tex]
[tex]y=305[/tex]
Rob reduced the size of a triangle to a
width of 2 in. What is the new height if it
was originally 10 in tall and 20 in wide?
Answer:
the new height is now 1 inch
Step-by-step explanation:
factor 1/6x + 2 help plz
Answer: 1/6 x ( x + 12 )
Step-by-step explanation:
Juliet needs to rewrite 3 (x + 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process?
A. She could combine the x and 2 to get 3 (2 x) = 6 y.
B. She could divide both sides by 3 to get x + 2 = 2 y.
C. She could distribute the 3 to get 3 x + 2 = 6 y.
D. She could subtract the 6y to get Negative 6 y = 3 (x + 2).
Answer:
because the x+2 is in parentheses, to put the equation in slope intercept form you would distribute the 3 to the x and the 2 using multiplication. So it would be 3x+6=6y. The final result would be y=1/2x+1.
Answer:
C. She could distribute the 3 to get 3 x + 2 = 6 y.
Step-by-step explanation:
Consider the Inequality
—2n +7 > -11
What is the solution of the inequality
Answer:
n < 9 or n = (-oo, 9)Step-by-step explanation:
-2n +7 > -11-2n > -11 - 7-2n > -18n < -18/-2n < 9n = (-oo, 9)4(5.8-9x)+8.2+22x simplify the expression
Answer 31.4-36x+22msxi
Step-by-step explanation:
HELP ASAP!!!! 20 points
Answer:
Angle B is 14 I think, but I am not sure.
Step-by-step explanation:
7TH GRADE MATH PLEASE HELP THERE IS ANSWER CHOICES AS WELL
Answer:
3/8
Step-by-step explanation:
If 1/4 is equaled to 1. This is 1 dived by 4 to get the 1/4.
Then 1.5 would be divided by 4 to get 3/8
Suppose it is 40° inside your refrigerator and 340° inside your oven when the power goes out. The refrigerator temperature starts rising at the rate of 5° per hour. The oven temperature starts dropping at the rate of 45° per hour.
Answer:
The temperature of both appliances is 70° after 6 hours.
At 6 hours, both temperatures will be equal
Step-by-step explanation:
Equations
Let's call
T1 = Temperature inside of the refrigerator
T2 = Temperature inside of the oven.
x = Time in hours elapsed since the power goes out.
We know the temperature of the refrigerator rises at 5° per hour. Thus the function that models its temperature is:
T1 = 40 + 5x
We are also given the oven temperature drops by 45° per hour, thus:
T2 = 340 - 45x
a) Find the value of x for both temperatures to be the same.
We equal T1 and T2:
40 + 5x = 340 - 45x
Adding 45x
40 + 5x + 45x = 340
Subtracting 40:
5x + 45x = 340 - 40
Operating:
50x = 300
x = 300/50
x = 6
At 6 hours, both temperatures will be equal
b)
The common temperature can be found by substituting x in any function:
T1 = 40 + 5x = 40 + 5(6) = 40 + 30 = 70
T2 = 340 - 45x = 340 - 45(6) = 70
The temperature of both appliances is 70° after 6 hours.
please help!!! i'll give brainliest!!!
Answer:
Step-by-step explanation:
just give it some great amount of thinking act like you are in the story or whatever and you will get your answer
the equation is: y = -32 +2
Select all of the equations that would be perpendicular to this line.
y = -31 - 2
y = 2x - 5
y = {2 – 3
y = 12 +7
y = -32 +1
y=i<+3.63917
y = –2 – 3
y = -4.1 - 32
Answer:
y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1
If the slope of a line is m, then the slope of the perpendicular line to it is [tex]-\frac{1}{m}[/tex]To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and change its signThe form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is y = -3x + 2
→ Compare it with the form of the equation above
∴ m = -3
→ To find the slope of the perpendicular line to it reciprocal it and
change its sign
∴ The slope of the perpendicular line to it is = [tex]\frac{1}{3}[/tex]
→ Choose all the equations that have m = [tex]\frac{1}{3}[/tex]
∴ y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
∴ y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
∴ y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
∴ y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
what is the coeffcients of 3m + 5 = 1
Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.
Answer:
16.5 pages
Step-by-step explanation:
Number of pages Ingrid types = 3
Number of pages Tanya types = 4.5
The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:
3 : 4.5 = 11 : x
Thus:
[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]
Cross multiply
[tex] 3*x = 11*4.5 [/tex]
[tex] 3x = 49.5 [/tex]
Divide both sides by 3
x = 16.5 pages
Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Answer: (1,1) (2,2)
Step-by-step explanation: got it right on edg
Answer:
C. (1,1)
E. (2, 2)
Step-by-step explanation:
What number should go in the empty boxes to complete the calculation for finding the product of 0.63 × 0.24? 0.63 times 0.24 equals box 52 plus 1 box 60 equals 0.1512 (Hint: it is the same number. Input only one number in the blank.) (3 points) Blank 1:
Answer:
The number is 2
Step-by-step explanation:
0.63
× 0.24
= 252
+1260
=0.1512
step 1
The place value of 4 in one 0.24 is hundredth. Using 4-hundredth to multiply 063 gives 252
The place value of 2 in 0.24 is tenth
Using 2-tenth to multiply 063 gives 1260
Hence, 0.63 times 0.24 equals 252 plus 1260 equals 1.512
Three times a number increased by
twice the number is greater than
125. What is the number?
Answer:
x > 25
Step-by-step explanation:
This question relates to algebra. We can solve this problem by creating a variable for the solution (which we will find). We will link the variable in an equation l with the information given.
So let's translate each piece of information mathematically. First, the question tells us "Three times a number." The first part uses multiplication (times) linked to our number (we will use x for our variable). So we write:
3x
The second part is "increased by twice the number" Increasing is adding (+) so we add two times the number. So:
3x + 2x
The final part says "is greater than 125" so we need to use the > sign
3x + 2x > 125
Now we can solve by collecting like terms and moving them to a different side.
5x > 125
x > 25
The graph shows the amount of money earned by a teacher for running an after-school homework help session. How much does the teacher earn per hour?
Answer:
From the looks of the graph, it seems that the teacher earned either $40 a hour or $20 a hour.
Step-by-step explanation:
A housepainter mixed 2 gallons of blue paint with
every 4 gallons of red paint in order to make purple
paint. Which ratio of gallons of blue paint to gallons
of red paint will make the same shade of purple
paint?
A. 8:12
C. 8:24
B. 3:5
D. 6:12
Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:
[tex]No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2[/tex]
Now we will check if the given options can be simplified to 1:2
So,
Option A:
[tex]8:12\\2:3[/tex]
Option B:
[tex]8:24\\1:3[/tex]
Option C:
[tex]3:5[/tex]
Option D:
[tex]6:12\\1:2[/tex]
As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.
2m+1 _2m÷2m:simplify
Simplify the expression.
2m
The sixth root of (729x30 y 18 )?
Down the street, Smiley Face Foods has 24 pound watermelons on sale for $3.99. What is the unit rate for watermelon at this store? Which store has the better deal on watermelon?
Answer:
1 pound of watermelon is approximately $0.17 ($0.16625).You must've forgot to add the rest of the problem because there is no other store included
Step-by-step explanation:
Which is not a subset of the set {1,2,3,5}?
Answer:5
Step-by-step explanation:
25 points and brainliest help pls
Answer:
I also think its option 3
Step-by-step explanation:
Answer:
neither.
Step-by-step explanation:
option 3!
z is a positive integer
Answer:
Yes....... Mark me as a brainlist.......
Answer:
PLEASE GIVE THANKS AND BRAINLIEST
It depends what number Z is
Step-by-step explanation:
if z is a while number such as 1,2,3,4,5 it is a positive integer
but if it is negative and is not a whole number such as -0.5 it is not
find the solution of the system equations.
10x-7y=-1
-2x-7y=-25
Answer:
[tex]x=2, y=3[/tex]
Step-by-step explanation:
Given equations:
[tex]10x-7y=-1[/tex]
[tex]-2x-7y=-25[/tex]
We can subtract the two equations from each other to eliminate [tex]y[/tex] to solve for [tex]x[/tex]:
[tex]10x-7y-(-2x-7y)=-1-(-25)[/tex]
[tex]10x-7y+2x+7y=-1+25[/tex]
[tex]12x=24[/tex]
[tex]x=2[/tex]
Now, we can use substitution to solve for [tex]y[/tex]:
[tex]10x-7y=-1[/tex]
[tex]10(2)-7y=-1[/tex]
[tex]20-7y=-1[/tex]
[tex]7y=21[/tex]
[tex]y=3[/tex]
∴ [tex]x=2, y=3[/tex]
Hope this helps :)
The cold water faucet of a bathtub can fill the tub in 15 minutes. The drain, when opened, can empty the full tub in 20 minutes. Suppose the tub is empty and the faucet and drain are both opened at the same time. How long will it take to fill the tub?
Answer:
10 minutes
Step-by-step explanation:
This is because if u have both the faucet and drain on at the same time, it will fill the tub faster
Answer:
60 minutes
Step-by-step explanation:
faucet takes 15 minutes to fill the tub, so how much of the full tub is added per minute?[tex]15 minutes=1added/minute\\1minute=\frac{1}{15} added/minute[/tex] drain takes 20 minutes to empty the tub so how much of the full tub is lost per minute?[tex]20minutes=1lost/minute\\1minute=\frac{1}{20} lost/minute[/tex] How long it takes to fill the tub can be found by how much of it is added per minute minus lost per minute[tex]totalfilled/minute=added/minute-lost/minute\\=\frac{1}{15} -\frac{1}{20}=\frac{1}{60}[/tex] So one sixtieth of the tub is filled a minute, so that 60 parts of the tub, each taking a minute, that's 60 minutes or 1 hourLindsey invests $250 in a bank account that pays 3% interest each year. How much
money will be in her account after one year?
Answer: Jenns account has the greater simple interest rate
Step-by-step explanation: The formula for simple interest is:
Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.
For Lindsey:
Solve for r
Lindsey simple interest was 1.2% annually
For Jenn:
Jenn simple interest was 1.5% annually
Therefore Jenns account has the highest simple interest rate.
whta is the name of the shape?
Answer:
The entire shape is called a pentagon since it has 5 sides. However, it is not a perfect pentagon since the side and angle values are not congruent. So it would be an irregular pentagon to be more specific.
Step-by-step explanation:
Answer:
irregular pentagon
Gary's jogging average speed is represented by the equation y=3.5x where y is the distance in miles and x is the time in hours. How far can he go in 84 minutes?
Answer:
Gary can go 4.9 miles in 84 minutes.
Step-by-step explanation:
First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:
60 minutes → 1 hour
84 minutes → x
x=(84*1)/60=1.4 hours
Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:
y=3.5x
y=3.5(1.4)
y=4.9
According to this, the answer is that Gary can go 4.9 miles in 84 minutes.
You can buy 3 candy bars at quick market for $2.17. How many can you buy for $17.36?
Answer:
24 candy bars
Step-by-step explanation:
3 = $2.17
x = $17.36
cross-multiplying, we have;
x = (17.36 × 3)/2.17
x = 24
Therefore, you can buy 24 candy bars