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Work Shown:
k = scale factor
k = (OF ')/(OF)
k = (OF ')/(OF ' + F ' F)
k = (3)/(3 + 10)
k = 3/13
The scale factor of the dilation of triangle DEF is 3/10.
What is Dilation?The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.
We have a triangle DEF is dilated to smaller triangle D'E'F' .
As, the length of OF' = 3 and F'F = 7.
So, the scale factor of dilation is
OF' / OF = 3 / 10.
Thus, the scale factor is 3/10.
Learn more about Dilation here:
https://brainly.in/question/30389359
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What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?
Answer:
Each shirt costs $18.50
Step-by-step explanation:
Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.
First, read the information carefully and then summarize what you are given in short sentences. Pat bought 6 shirts. He paid using a check and cash.
The total amount paid was $ 25 + $ 86 = $ 111
The shirts all cost the same price.
The cost of each shirt was: 111 ÷ 6 = $ 18.50
Answer:
Each shirt was 18.50
Step-by-step explanation:
The total cost of the 6 shirts was 25+86 = 111
Divide the total by 6 to find the cost of each shirt
111/6 =18.5
Each shirt was 18.50
1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?
Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair
There are 10 parts on the spinner 4 orange, 5 blue and 1 grey.
Answer:
no
Step-by-step explanation:
because it's unequal
evaluate 999^3 by using suitable identity
The answer is:
999^3 = 997002999
15 POINTS FOR WHO WILL ANSWER
You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV
Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank
Which car is faster? And use the graph
Answer:
The 24,003 is the fastest
What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
As an estimation we are told £3 is €4.
Convert £33 to euros.
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
Find the perimeter of the window to the nearest hundredth perimeter: about ft
Answer:
I would answer but I have no numbers to give the answer
The distance around a circular park is 176 yards. What is the area of the park? Use 22/7 for π.
Answer:
2464 yd²
Step-by-step explanation:
Use the circle circumference formula: 2πr
2·[tex]\frac{22}{7}[/tex]·r=176
[tex]\frac{44}{7}[/tex]r=176
r=176·[tex]\frac{7}{44}[/tex]
r=28
Area of circle formula: πr²
[tex]\frac{22}{7}[/tex]·r²
[tex]\frac{22}{7}[/tex]·28²
[tex]\frac{22}{7}[/tex]·784
=2464 yd²
I really need help with this problem
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
A pack of six cans of coffee cost $12. How much would 15 cans of
coffee cost?
Answer $30
Bc 6can = $12
If 1can =2$
So 15 cans =30$
Answer:
$30
Step-by-step explanation:
$12/6=$2/can
$2/can x 15 cans=$30
round the whole number 21,908 to the nearest thousands place
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
f(x) = 3x - 4
x is -2
If you fail two semesters will you be held back?
umm...... No because 1 haven't give any semester
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
Determine the surface area of the shape below.
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
Answer: 243.17
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
to the girl who helped me <3 please help me again.
Answer:
x = 11
Step-by-step explanation:
<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<4 = <5
7x+5 = 5x+27
Subtract 5x from each side
7x+5-5x = 5x+27-5x
2x+5 = 27
Subtract 5 from each side
2x+5-5=27-5
2x =22
Divide by 2
2x/2 =22/2
x =11
plzz help me with the correct ans find x
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]
So, corresponding sides of both the triangles would be in proportion.
[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]
[tex] \therefore x= \frac{6\times 25}{10}[/tex]
[tex] \therefore x =\frac{150}{10}[/tex]
[tex] \therefore x = 15[/tex]
For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?
Show your work
Answer:
There are 26 tickets left to be sold.
Step-by-step explanation:
Jason - 6 tickets
Heather - 6(3) = 18 tickets
6+18 = 24 tickets
50-24 = 26 tickets
Is this a function?
{(2, 9),(5, 8),(19, 9)}
Answer:
Yes
Step-by-step explanation:
As long as no x values repeat it is considered a function
In the given set no x values repeat therefore it is a function
Answer:
Yes.
Step-by-step explanation:
Each input has exactly one output. Therefore, this is indeed a function.
Could someone please help me solve these?
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
In circle F with mEHG = 42, find the mEFG.
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
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hope it helps...
have a nice day!!
What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080
sorry but can u show a picture of y?
Answer:
but where is que plz show your que
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons of gas with us the average gas mileage for Stephanie car?
Answer:
0.0428 miles per gallon
Step-by-step explanation:
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons
Given data
Distance driven = 280miles
Fuel used= 12 gallons
Hence the gas per mile is expressed as
Gas per mile= 12/280
Gas per mile= 0.0428 miles per gallon
20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5
What the measurements for b ? * just different problems*
Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)
