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.
Learn more about Scale Factor here :
https://brainly.com/question/3819163
#SPJ3
α + 4/5 = 3
Solve for a to make the proportion true
How do I work this out
Answer:
37
Step-by-step explanation:
all angles on a straight line add up to 180.
180-144=36.
180-73=106
106+36=142.
180-142 is 37
hope this helps!
In 1992, there were approximately 141 million births and 49 million deaths worldwide. What was the
change in the world's population?
Answer:
The population increased by 92 million.
Step-by-step explanation:
141 - 49 = 92
There are 351 identical plastic chips numbered 1 through 351 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212
212/351
or
211/351
cos less than
Can somebody help me on this ?
Answer:
drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC
the angle will be whatever number AB lines up with on the outer ring (the big numbers)
Step-by-step explanation:
10•1/2+(-6)(-3) Simplified in steps
Answer:
23
Step-by-step explanation:
1) (10*0.5)+(-6*-3)
2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"
3) 5+18=23
Simplify the following expression:
3b+5-9b-9+6b
Answer:
3(3+2b)
or
2b +9
Step-by-step explanation:
Answer:
Step-by-step explanation:
3b+5-9b-9+6b
=3b+6b-9b+5-9=-4
Find the value of x and the measure of the angle labeled 16X".
112
64°
48°
16x
Answer:
[tex]16x = 48\:(vertically\:opposite\:angles)\\ \boxed{x = 3} \\ angle \: measure \: is \: \boxed{48°}[/tex]
A. is the right answer.Answer:
A
Step-by-step explanation:
The basketball team went out for pizza after their championship game.
The total bill was $125. The tax rate was 7%. The coach left a 25% tip for the waitress because she worked very hard serving all of the kids.
Determine the total bill.
Answer:
$165
Step-by-step explanation:
Find what 7% of $125 is. (Multiply 125 times .07)
Find what 25% of 125 is (Multiply 125 times .25)
Add everything together
You get an answer of $165
Hope I helped!! :)
Pls mark brainliest!!!
Please Help ASAP!! ❤️
Answer:
Step-by-step explanation:
*a is 6:55
*b is 37
*c is 15:12
HELLLLLLPPPPPPPP plz need rest
Answer:
x = 5
Step-by-step explanation:
The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.
Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).
Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.
18x - 5 = 16x + 5Subtract 16x from both sides.
2x - 5 = 5Add 5 to both sides.
2x = 10Divide both sides by 2.
x = 5The value of 5 for x must make ABCD a parallelogram.
Write the equation of the line graphed below.
Answer:
Because the line has no slope, we can define this line very simply as:
y = 3
Please help me with this question
Answer:
5 x 3/4 < 5
2 x 4/3 > 2
6 x 5/5 = 6
4/7 x 1/8 < 4/7
2/5 x 7/7 = 2/5
1/3 x 6/4 > 1/3
Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
and his son drove 7,997 miles. Martin drove the rest. How many miles did Martin drive?
Show work.
Answer:
Martin drove 53,558 miles.
Step-by-step explanation:
If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.
Simplify the expression 8+4b+3b+6
Answer:
14+7b
Step-by-step explanation:
8+6=14
4b+3b=7b
Answer:
14 +7b
Step-by-step explanation:
Combine like terms. Like terms have same variables
8 + 4b + 3b + 6 = 8 + 6 + 4b + 3b
= 14 + 7b
A submarine's descent was a change in depth of -6 feet per minute. At this
rate, how much time would it take the submarine to reach a level of 750 feet
below sea level?
Helppppppppppp me i need the answer
Answer:
Step-by-step explanation:
i think its embryonic
Two pounds of grapes cost $6. How many pounds of grapes cost $1? *
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Tis will be your answer :D
The value of a certain account after t years is given by
B = 600 × 1.2t dollars.
How long will it take for the value of the account to increase to $900? Round your answer to one decimal place.
t =
Answer:
1.2 years
Step-by-step explanation:
The value of a certain account after t years is given by :
B = 600 × 1.2t dollars ....(1)
We need to find how long will it take for the value of the account to increase to $900 i.e. we need to find the value of t.
Put B = $900 in equation (1).
[tex]900=600\times 1.2t\\\\t=\dfrac{900}{600\times 1.2}\\\\t=1.2\ \text{years }[/tex]
So, it will take 1.2 years of the account to increase to $900.
Someone please help me with this!!
Answer:
Its A
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer: 52
Step-by-step explanation: Friend me and yes that is right!
round 427963 to the nearest thousand
Answer:
428,000
Step-by-step explanation:
427,963
If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10 instead of it going up to 20 it stays 10.
427,963
^
This number is higher than 4 so the number in front or the thousand mark goes up a number.
428,000
Someone else already answered so I figured I'll tell you how to round it, hope this helps.
(1/2(7x3))^3= plz help
Answer:
1/2 X 7 X 3 X 3 = 31.5
Step-by-step explanation:
The 7th grade basketball team has won 15 games out of the 20 games they have played this season. If they were to keep up this winning ratio, what is the probability they will win their next game?
Answer: 3/4
Step-by-step explanation:
Which algebraic expression is not equivalent to 13x + 10? A 10(x + 1) + 3x B. 4x + 3 + 8x + 7 C. 13 + 2x + 3x – 3 + 8x D. 20x-2 - 7x + 12
Answer:
B is the answer
Try all and see for yourself
complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y= ????
Answer:
y = -2x - 8
Step-by-step explanation:
Slope-intercept form is y = mx + b. Slope is m, and y-intercept is b. To do this, we substitute -2 for m and -8 for b. When we do this, we get y = -2x + -8. We can simplify this to y = -2x - 8.
A patient needs a total dose of 50 grams of albumin. The pharmacy has 50 m
bottles of 25% Albumin in stock. How many bottles should the pharmacy
technician prepare to provide the required dose?
Answer:
4,000 bottles.
Step-by-step explanation:
Given that the patient needs a total dose of 50 grams of albumin, and the pharmacy has bottles of 50 milligrams with 25% albumin, to determine how many bottles the patient should purchase the following calculation must be performed:
1 g = 1000 mg
50 g = 50,000 mg
50 x 0.25 = 12.5
50,000 / 12.5 = X
4,000 = X
Therefore, the patient must purchase 4,000 bottles to obtain the required dosage.
URGENT PLEASE!!!!!!!!!!!!
Answer:
i got 178
Step-by-step explanation:
Answer:
its x=16 :)))
Does this procedure describe a completely randomized design for this experiment?
Answer:
Yes
Step-by-step explanation:
Abjejwjjdjejwjdhhrigvhhyrwwtiij itessfjhvxx