Answers
The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given two quadrilaterals PQRS and JKLM.
Since the shape is similar, the angles are equal and thus are similar figures.
The corresponding sides of two similar figures are proportional.
Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5
Using the proportional rule for similar figures,
KL / QR = LM /RS = MJ / SP = JK / PQ
15 / 12 = x / 10 = y / 16 = 25 / w
Scale factor = 15/12 = 5/4
Consider 15 / 12 = x / 10.
12x = 150
x = 12.5
Consider 15 / 12 = y / 16
12y = 15 × 16
y = 20
Consider 15 / 12 = 25 / w
15w = 12 × 25
w = 20
Hence the option d is the correct answer.
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Related Questions
Number 12. Find angle ADE
Answers
Answer:
ADE=59º
Step-by-step explanation:
4x+15+13x+7=90
17x+22=90
17x=68
x=4
angle B=angle ADE so we plug in x=4 into 13x+7
13(4)+7=59º
(4x+15)+(13x+7)=90degrees
17x+22=90degrees
68=17x
4=x
Angle DBC= 59 degrees
Angle DCB = 90degrees
Triangle = 180degrees
90+59=149
180-149=31 degrees
Angle EDC = 31
90-31=59 degrees
Angle ADE = 59 degrees
Find the value of x.
Answers
Answer:
[tex]6^{2} = 3x\\36=3x\\x=12[/tex]
Fun fact
An apple, potato, and onion all taste the same if you eat them with your nose plugged
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x +2 = 62 (set them equal to each other and then solve for x.)
x = 60 (this is your answer)
jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m. long.how many pieces of wood did jester cut.
Answers
Answer:
He can cut 2 pieces.
Step-by-step explanation:
Given that,
Jester has a piece of wood measuring 1 and 2/3 m = 5/3 m
He needs to cut in pieces measuring 3/4 m
We need to find the number of pieces in which he cut the wood. Let there are x no. of pieces.
[tex]x=\dfrac{\dfrac{5}{3}}{\dfrac{3}{4}}\\\\=\dfrac{5}{3}\times \dfrac{4}{3}\\\\=2.23\[/tex]
or
x = 2
So, he will cut it into approx 2 pieces.
3.7(-4x - 3)
(1 Point)
28x - 21
-28x - 21
-4x + 21
Answers
Answer:
-28x - 21
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define
7(-4x - 3)
Step 2: Simplify
Distribute 3.7: 7(-4x) + 7(-3)Multiply: -28x - 21Can someone please help me ill give you a crown PLEASE HELP
Answers
2x + 3
Explaination
alex saved $16 this month. if he decides to donate 3/4 of his savings to charity. hiw much money will alex be donating?
Answers
what is the difference between bullying and conflict
Answers
Answer:
Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious
Step-by-step explanation:
In a group of 120 people. each person has a dog, a cat, or a bird. The frequency table shows how many people have each kind of pet. complete a relative frequency table to show the distribution of the data with respect to all 120 people.
Answers
Answer:
25% 19.2% 45.0%
18.3% 16.7% 34.0%
11.7% 8.3% 20.7%
55.8% 44.2% 100%
Step-by-step explanation:
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answers
Answer:
you can use decimals
Step-by-step explanation:
Need help if u do I will put brainliest
Answers
the 2nd answer is $3.6 more
What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. 14
C. 7root 2
D 7 root 2 / 2
Answers
Answer:
There are a few (a very few) angles that have relatively "neat" trigonometric values, involving, at worst, one square root. Because of their relatively simple values, these are the angles which will typically be used in math problems (in calculus, especially), and you will be expected to have these angles' values memorized.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Im smart..
–4x-2y=-2
x-2y=9
what do you get if you subtract the second from the first
Answers
Answer:
-4×-2y=2
-4×+8y=-8
6y=6
y=1 then you the value of y and to put in any one equestion
Find the measure of angle b (15
Answers
Answer:
Angle b is 15 measure the scale
A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?
Answers
Lowkey need help ASAP
Answers
For the functions f(x) = 7x + 4 , h(x) =10/x− 3 and g(x) = 3x − 2
Evaluate
g(4)
h{g(4)}
f-1 (11)
Answers
Answer:
g(4) = 10
f⁻¹(11) = 1
h{g(4)} =
if h(x) = (10/x) – 3 = 7
if h(x) = 10/(x – 3) = 10/7
____________
f⁻¹(x) = (x - 4) / 7
Answer
-10 – (-2) =
Answers
Answer:
8
Step-by-step explanation:
- (-2) is the same as + 2
-10 + 2 = -8
Answer:
-8
Step-by-step explanation:
Since there are two minus sign with the two, make it into plus. There fore the equation is -10+2= -8!
3.5x = 20 Round to nearest hundredths
place
Answers
Answer:
5.71
Step-by-step explanation:
x = 20/3.5 = 5.71
Describe the triple constraint. What are the three components and what is the relationship between them
Answers
Answer:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce.
The three components are Budget, time, and scope.
The relationship between them is an interdependent or triangular shape.
Step-by-step explanation:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce. Budget, Scope and Time.
Budget - The budget describes the estimated cost of the project. Time: The time represents the deadline to complete the project.Scope: This is simply what needs to be provided.These 3 components are dependent to each other.
For example, if time is restricted then scope and budget will be affected. similarly.
The relationship between the three is that one of the two other components must decrease while one component increases for the project to succeed as expected.
What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3
Answers
Answer:
7 :)
Step-by-step explanation:
Fred Friedman writes a $45 check for groceries, but his account has only $20 in it. If an account becomes overdrawn, (not enough money to pay for the transaction), his bank charges a $20 overdraft fee. The grocer has not cashed Fred's check yet. How much is in Fred's account at the end of the day? $20 $40 O $45 $65
Answers
Answer:
$45
Step-by-step explanation:
This is because the money from Fred's account hasn't been withdrawn yet.
Answer: I have to go with 65
Step-by-step explanation: I think Since he wrote the 45 dollar check I just added 45 to 20 and got 65, because the amount he have in his bank account plus the one check he wrote
Find the exact length of the third side.
41
9
what’s the other side
Answers
Step-by-step explanation:
[tex] {d}^{2} = {a}^{2} + {b}^{2} \\ 41 = 9 + {b}^{2} \\ {b}^{2} = 41 - 9 \\ {b}^{2} = 32 \\ b = \sqrt{32} \\ b = 5.66 \:[/tex]
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow? Question 1 options: A) 3 feet B) 3.75 feet C) 0.33 feet D) 5 feet
Answers
The correct answer is A) 3 feet.
A 15-foot statue casts the shadow of 20 food, then a 4-foot-long shadow will be cast by a 3-foot-tall person.
What are arithmetical operations?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
From the data in the question,
15-foot statue = 20-foot shadow
x-foot man's height = 4-foot long shadow
20x = 60
x = 60/20
x = 3 foot.
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given that the line y/2 = x-p passes through the point ( -4 , 4 ) , then the value of " p " is ?
Answers
Answer:
-6
Step-by-step explanation:
Given,
(-4,4)=(x,y)
y/2=x-p
Substituting the value of(x,y) in the given line,
4/2= -4-p
or,2= -4-p
or,2+4= -p
or,-p= 6
hence,p = -6
What is the midpoint of the line segment connecting the points (-2,4) and (5,-2)?
Answers
Answer:
(3/2 , 1)
Step-by-step explanation:
[tex]MidPoint=(\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )\\(\frac{-2+5 }{2} , \frac{4+(-2) }{2} )\\\\(\frac{3 }{2} , \frac{2 }{2} )\\\\MidPoint=(\frac{3 }{2} , 1 )\\[/tex]
Which of the following statements is true concerning ABC below?
С
A. A is the smallest angle.
B. A is the largest angle.
C. B is the smallest angle.
D. B is the largest angle.
Answers
A is the smallest
Can I have brainleist?
Solve for m: 63 + 91 + 3m > 180
Answers
Answer:5
Step-by-step explanation:
Answer:
Inequality- m>26/3
Interval- (26/3,∞)
Step-by-step explanation:
I hope that this helps..sorry it took a minute
You have $9.30 plus 6 percent of tax what is the total costs
Answers
Answer:
$ 9.86
Step-by-step explanation:
Tax = 6% of 9.30
= 0.06 * 9.30
= $ 0.558
Total costs = 9.30 + 0.558
= 9.858
= $ 9.86
which list shows the numbers in order in which they would appear from left to right on the number line