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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Solve to find X. 3 ≥ -3x
Answer:
-1 ≤ x
Step-by-step explanation:
You just need to divide -3 on both sides.
-1 ≤ x
Note that since you are dividing by a negative number, the sign flips.
-1 ≤ x
Step-by-step explanation:
First start with the equation:
3 ≥ -3x
divide by -3 to get x positive and singular:
-1 ≥ x
and since we divided by a negative we need to flip the sign:
-1 ≤ x would be your answer
hope this helped :)
a rock is thrown into a pond from a bridge above. The path the rock follows can be modeled by the equation h = - 16t^2 +44t + 12, where t is time and h is the height of the rock. Which of the following expressions is equivalent to this expression?
Ans
Step-by-step explanation:i dont know
The ratio of trumpet players to trombone players in the band is 5:3. What does this mean?
Answer:
for every 3 trombone players in the band there will be 5 trumpet players in the band
Step-by-step explanation:
example 6 trombone = 10 trumpet
Please help..........
Answer:
1178 inches
Step-by-step explanation:
Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.
Using the law of sines, we can conclude that
[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]
Plugging our values in, we get
[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]
Multiply both sides by 0.78 to get
[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]
round up to get 1178 as our answer
The function f(x)=2x-6 and g(x) is shown in the table
Answer:
Multiply then add them and them that's your answer.
Step-by-step explanation:
Which point represents the fourth bus stop
A. (11,8)
B. (13,12)
C. (15,10)
D. (19,12)
Answer:
The answer is (19,12)
Choose any number, say 20, and divide 729 by 20 ignoring any remainders. " 729/20 = 36 " Find the average of 20 and 36. 20 + 36 / 2 = 28. " Repeat the process until the estimate is the same as the quotient (until the remainder is 0). " 729 / 27 = 27.
Answer:
Answer is solved in the explanation below.
Step-by-step explanation:
Solution:
We have to repeat the process until the estimate is the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)
729/27 = 27 (remainder 0)
Let's I am starting this process from 19
So,
729 divided by 19 = 38.3684
Ignoring the remainders
729 divided by 19 = 38
Now, average of 19 and 38 = (19+38)/2 = 28
729 divided by 28 = 26.03
ignoring the remainders = 26
Now, average of 28 and 26 = (28+26)/2= 54/2 = 27
So,
729 divided by 27 = 27
Hence,
estimate is the same as quotient ( and remainder = 0)
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
Help find the slope of each line
Answer:
1. The slope of the graph is 3/1 or 3
2. The slope of the graph is 3/4
3. The slope of the points is 2
4. The slope of the points is Undefined
5. The slope of the graph is 1
6. The slope of the points is -1/4
Step-by-step explanation:
To find the slope of the graph you use rise over run
To find the slope of the points you use y2-y1 over x2-x1
Hope this is very helpful!!
Answer:
1. -1/3
2. 3/4
3. 2
4. -9/0
5. 1
6. -6/4
Step-by-step explanation:
1. To find this numbers slope you have to go over and up (or down depending on where the line is going) You go over once and down three times to the next dot. This is why it is negative, because you go down
2. Same as number one you go over (Run) and up (Rise) . You go over 3 times and up 4. This makes it positive, since you are going up.
3. Stick to this formula (y2-y1)
(x2-x1)
-4-8
0-6 =-12/-6 =2
4. Same as 3
1-8
5-5 = -9/0
5. Go over 1 and up 1 this will equal 1/1 which is just 1.
6.
-2-4
-6-2 =-6/-8
This can be simplified down to -3/-4
For further explanation, look at the attachments
Hope this helps (:
NEED HELP!!! I’ll report if your putting random answers down
Answer:
First blank: 8
Second Blank: 16
Third Blank: 56
Step-by-step explanation: Hope I helped
Sandra is 34 and opened a 30 year term policy. How old will she be when she lose the life insurance policy?
Answer:64
Step-by-step explanation:
34+30=64
Sandra will be 64 years old when she would lose the life insurance policy.
What is Addition?Addition, in maths, is a process of combining two or more numbers.
Given that, Sandra is 34 and opened a 30-year term policy,
According to question,
30 + 34 = 64
Hence, Sandra will be 64 years old when she would lose the life insurance policy.
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please give correct answer <3 :(
Answer:
216g^3
Step-by-step explanation:
6g^3 g^3
6g^3 = 6g * 6g * 6g = 216g^3
Answer:
[tex]216g^{3}[/tex]
Step-by-step explanation:
6^3 x g^3=
6^3=216
216g^3
is 18/20 closed close to 0 1/2 or 1
Answer:
18/20 is closer to 1
Step-by-step explanation:
Answer:
0 1/2
Step-by-step explanation:
Help me
Plssssssssssssss
Answer:
18 mi per hr
16 mi per hr
18 mi per hr
14 mi per hr
Step-by-step explanation:
72 miles in 4 hours
[tex]72 \div 4 = 18[/tex]
18 miles in 1 hour (18 miles per hour)
96 miles in 6 hours
[tex]96 \div 6 = 16[/tex]
16 miles per hour
36 miles in 2 hours
[tex]36 \div 2 = 18[/tex]
18 miles per hour
70 miles in 5 hours
[tex]70 \div 5 = 14[/tex]
14 miles per hour
What is the least common multiple of 40 and 30
Answer:
120
Step-by-step explanation:
help asap no trolls pls!!
Answer:
U
Step-by-step explanation:
Answer:
V
Step-by-step explanation:
Sum of angles in a triangle = 180°
66c + 40c +74c = 180°
106c + 74c =180
180c = 180
c=1
Side v is the largest
18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A 272.5
B 267.5
C 270
D 337
Answer:
B) 267.5
Step-by-step explanation:
162.5+105=267.5
PLs HElp I ONLY HAVE AN HR
What is the sign of the product (3)(-3)(-2)(4)? (5 points)
a
Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive
b
Positive, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is positive
c
Negative, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is negative
d
Negative, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is negative
Answer:
a
Step-by-step explanation:
just read through the answer choices and you can see that the other three are wrong
Answer:
Step-by-step explanation:
you multiply a positive with a negative=negative (3)(-3)=-9
(-9)(-2)=+18(4)=72 positive
a
One step equation
-104=8x
Answer:
The answer you gave can only be solved if you know what the Variable is.
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
Quadrilateral BLUE has coordinates (vertices): B(-5,0), L(-6,6) U(6,8) and E(7,2). Prove BLUE is a rectangle.
If x=3y substitute the value of x into expression simplify 3x+6
Answer:
(3y)3+6
Step-by-step explanation:
if 50% is 10 what is 25%
Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.
This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.
What is 22% of 46?
Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.
Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.
So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].
0.46 × 22 = 10.12
Answer: 22% of 46 is 10.12.
Hope this helped :)
Paul had some candy to give to his three children. He first took four pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many pieces did he
start?
Answer:
10 pieces
Step-by-step explanation:
Work backwards
Multiply 3 by 2 to get 6
Add 4 to 6 to get 10
Check:
10 - 4 = 6
6/3 = 2
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the
doghouse?
PLEASE HELP ME FAST I NEED HELP PLEASE
Answer:
2. 3ft per second and 4ft per second
3. 9 cars every minute and 10 cars per minute
4. 48 miles per hour and 46 miles per hour
5. $3.5 for one box and $3.25 for one box
Step-by-step explanation:
2. 12/4 and 20/5
You have to split it up per second. Therefore dividing it will show you how fast it is moving per second.
3. 72/8 and 60/6
You have to split it up per minute. Therefore dividing it will show you how fast it is moving per minute.
4. 144/3 and 230/5
You have to split it up per hour. Therefore dividing it will show you how fast it is moving per hour.
5. 21/6 and 13/4
You have to split it up per box. Therefore dividing it will show you how much each box costs.
The cost, in dollars, for a group to attend a play is represented by 72p+ 250, where p is the number of
people attending. What is the cost for 36 people?
$286
$358
$2,342
$2,842
Answer:
Add 72+250 that will give u the answe
i hopStep-by-step explanation:
can someone fact check this to make sure its correct
All your answers look good!
Answer:
looks good
Step-by-step explanation:
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
what is the rule for the reflection
Answer:
(x,y) ---> (-x,y) 2nd choice
Step-by-step explanation:
reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.
The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
In the given graph, ABCD is the original figure and A'B'C'D' is the image.
Here, A(-2, 1)→A'(2, 1)
B(-4, 1)→B'(4, 1)
C(-4, 5)→C'(4, 5)
D(-2, 4)→D'(2, 4)
Here, the rule is (x, y)→(-x, y)
Therefore, option B is the correct answer.
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what is equivalent to 2 with a little 4
Answer:
16 is your answer
Step-by-step explanation:
plz mark brainliest to help rank ;)