Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?
Answers
Given:
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'. So,
[tex]E'F'=\dfrac{3}{4}\times EF[/tex]
From the given figure it is clear that [tex]EF=12[/tex]. So,
[tex]E'F'=\dfrac{3}{4}\times 12[/tex]
[tex]E'F'=9[/tex]
Therefore, the measure of side E'F' is 9 units.
Related Questions
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Answers
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]
To get the best estimate of the total volume, let us find the average of the two values, hence:
[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answers
Answer:
12w=108
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=180
Step-by-step explanation:
hey its me
Help me somebody pleaseeee
Answers
Hope you are doing well! :)
HELP MEEEEEEEEEEEEEEEEEEEEE!
Answers
Which of the following rational functions is graphed below?
Answers
Answer:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Step-by-step explanation:
Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.
A discontinuity in a rational function is a point in which the denominator of the function is 0.
For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answers
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
How to write 4 508 300
in words?
Answers
Answer:
four million five hundred eight thousand three hundred
Step-by-step explanation:
your welcome!
what should be added to -7/3 to get 3/7
A.21/58
B.58/21
C.47/21
D.50/21
Answers
Answer:
b
Step-by-step explanation:
is this right please hep
Answers
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
yes you are right! the answer is c
Step-by-step explanation:
**reminder: the hypotnuse is always your longest side**
first do 5 square = 25
then do 12 squared = 144
now add 25+144= 169
and finally you do 169 square root which equals 13
Hope this helped!
HELP
Mrs. Tate's car has 11.25 gallons of gas in the tank and uses 0.05 gallons per mile. If Mrs. Tate uses 2.75 gallons driving home from visiting family, which of the following best describes all possible numbers of miles (m) she can drive after returning home before running out of gas?
A.
m > 170
B.
m < 170
C.
m < 280
D.
m > 280
Answers
Answer:
B
Step-by-step explanation:
11.25-2.75 = 8.5
8.5/.05 = 170
Answer:
Step-by-step explanation:
170
what expression has a term with a base of 8
z^8
8^4
3xy+8
8m
Answers
A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?
Answers
Answer: 90000 Pairs at 2030
Step-by-step explanation:
2030 - 2016 = 14
14 x 5 = 70
30% of 300k = 90000
The coordinates of D are
Answers
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
Someone help me in this one now please
Answers
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
Plz help!!!
Which equation represents the graph?
Answers
Answer:
Option C : y=|x|-6
Step-by-step explanation:
use the graph of the function f shown to determine the y intercept
Answers
Answer:
That's hard wish you the best tho.
Step-by-step explanation:
1/2 x 288 = ???????
What is the answer?
Answers
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
12. Find the Volume of the rectangular prism below. Write your final answer as a decimal by converting the fraction to decimal. Also write the units as cubic inches. * 13 in. 2 in. 3 in
Answers
Answer:
V = 9.75 cubic inches.
Step-by-step explanation:
Given the following data;
Length = 2 inches
Width = 3¼ inches
Height = 1½ inches
To find the volume of rectangular prism;
Volume of rectangular prism = length * width * height
V = 2 * 3¼ * 1½
V = 2 * 13/4 * 3/2
V = 2 * 39/8
V = 2 * 4.875
V = 9.75 cubic inches
what is the measure of angle p enter your answer as a decimal in the box round only your answer to the nearest hundredth
Answers
Explanation: We know that Angle Q is 90 degrees, so if given sides and one angle, you can use the law of sines to find the angle measurements.
Law of Sines: Sin A/a=Sin B/b=SinC/c
PLS HELP DUE SOON!!!
Answers
Answer:
its both.
Step-by-step explanation:
RNA and DNA are made up of nucleotide(s).
Answer: Both DNA and RNA
Step-by-step explanation:
if the ordered pairs graphed are all equivalent ratios, what ordered pair is missing?
A) (9,11)
B) (9,12)
C) (9,15)
D) (9,18)
Answers
Answer:
C) (9,15)
Step-by-step explanation:
1) For each dot you go right 3 up 5 to get to the next dot.
2) right 3 up 5 from (6, 10) would be (9,15)
Answer:
C) (9,15)Step-by-step explanation:
For x- coordinate we have:
3, 6, x, 12 ⇒ x = 9For y-coordinate we have:
5, 10, y, 20 ⇒ y = 15Missing point is (9, 15)
Correct choice is C
I need the answer real fast PLZ
Answers
Answer:
54%
Step-by-step explanation:
I did the test.
In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.
Answers
so the answer could be 4 or 5
Solve for the missing side of this right triangle.
24 mi
16 mi.
Answers
Answer:
384
Step-by-step explanation:
I just went to my calculator and did 24×16 and I got 384
Is this model a function?
Explain.
(Someone pls be a decent human being and not send links, all links will be reported)
Answers
Answer:
Yes, that model is a function.
Step-by-step explanation:
A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
And the model shows that each domain ( x ) only goes to one codomain ( y ) which is what a function is.
Factorise 18a²y - 27ay?
Answers
Answer:
Factorise 18a²y - 27ay
=9ay(2a-3)
Step-by-step explanation:
9ay(2a-3)
hope it is helpful to you
Write an equation that you can use to find the value of x.
The perimeter of the triangle: 16 in.
Answers
Answer:
This question seems incomplete
How many 5/6 s are in 3?
Answers
Step-by-step explanation:
If we think over it, we could recognise that this question is like
How many 3's are in 6?
Probably the answer is
2
, as
6
÷
3
=
2
So, we divide
1
by
5
6
→
1
÷
5
6
→
1
⋅
6
5
→
6
5
⇒
1
1
5
=
1.2
So, there are
1
1
5
number of
5
6
's in
1
Answer:
3/(5/6)
Step-by-step explanation:
multiply the numerator and denominator by 6
18/5
x/8.5=16/4
what's the answer
Answers
Explanation:
x/8.5 = 16/4
x/8.5 = 4
x = 4 x 8.5
x = 34
the circumference of a circle is
Answers
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
