Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
Answer:
The measure of the side [tex]QR[/tex] is 8.8.
Step-by-step explanation:
Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:
[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio.
If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:
[tex]k = \frac{OL}{SP}[/tex] (1b)
[tex]k = \frac{55}{13}[/tex]
[tex]k = \frac{MN}{QR}[/tex]
[tex]QR = \frac{MN}{k}[/tex] (1c)
[tex]QR = \frac{37}{\frac{55}{13} }[/tex]
[tex]QR = 8.745[/tex]
The measure of the side [tex]QR[/tex] is 8.8.
Related Questions
Find an equation of the line with a slope of −7 that passes through the point (−3,12).
Answers
Answer:
[tex]\boxed {\boxed {\sf y=-7x-9}}[/tex]
Step-by-step explanation:
Since we are given a point and the slope, we should use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where (x₁, y₁) is the point the line passes through and m is the slope.
We know the line passes through the point (-3, 12) and the slope is -7. Therefore,
x₁= -3 y₁= 12 m= -7Substitute the values into the formula.
[tex]y-12=-7(x--3)[/tex]
Remember that 2 back to back negative signs become a positive.
[tex]y-12=-7(x+3)[/tex]
Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.
First, distribute the -7. Multiply each term inside the parentheses by -7.
[tex]y-12=(-7*x)+ (-7*3) \\y-12= (-7x)+(-21) \\y-12= -7x-21[/tex]
12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.
[tex]y-12+12=-7x-21+12\\y= -7x-21+12\\y=-7x-9[/tex]
The equation of the line is y=-7x-9
Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between
Answers
Answer:
Third side lies between 10 & 22.
Step-by-step explanation:
Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.
So, letting third size be = x
Difference of two sides < Third side x < Sum of two sides
Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22
Hence, 10 < Third side x < 22
Which sign makes the statement true? -7 /10 or 1/5 > < =
Answers
Answer:
-7/10 < 1/5
Step-by-step explanation:
a negative number is always less than a positive number.
Answer:
Step-by-step explanation:
It would be <!
An apple has a mass of 0.25 kg. The apple is 3m high. What is the potential energy of the apple?
Answers
Answer:
Potential energy= mass x gravity x height
0.25x9.8x3=7.35 N
hope that answers your question
Step-by-step explanation:
what is the area of the given figure in square centimeters? 15 3/4 21 3/8 27 39 3/8
Answers
Answer: 21.375 cm2
Step-by-step explanation:
Area of rectangle = length x width = 3.5 x 4.4 = 15.75 cm2
Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2
Add rectangle and triangle area = 21.375 cm2
Answer:
21 /3/8 cm^2.
Step-by-step explanation:
Area = area of rectangle + area of the triangle
= 3 1/2 * 4 1/2 + 1/2 * 4 1/2 * 2 1/2
= 7/2 * 9/2 + 1/2 * 9/2 * 5/2
= 63/4 + 45/8
= 126/8 + 45/8
= 171/8
= 21 /3/8 cm^2.
PLEASE I REALLY NEED HELP PLEASE!!
Answers
Answer:
I think the answer is B.
Step-by-step explanation:
9. Find DP
please help!!!!!!
Answers
Answer:
DP = 15.
Step-by-step explanation:
I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.
D is the midpoint of AB so
2x + 14 = 8x - 52
14+52 = 8x - 2x
6x = 66
x = 11.
So side AD = 2(11) + 14 = 36.
Now PC = PA = 39.
So by pythagoras:
DP^2 = AP^2 - AD^2
= 39^2-36^2 = 225
DP = sqrt 225
= 15.
Please help !!!!!!!!!
Answers
Answer: (4,-4)
Step-by-step explanation:
(4,-4) because you have to go to the very top of the point ans the point equals (4,-4) sorry im not very good at explaining
What is 20 pounds per 5 gallons written as a unit rate? Explain how you got your answer.
Answers
Answer:
20/5=4/1= 4 pounds per gallon.
Step-by-step explanation:
I got that answer by dividing 20/5 and you will get 4. Then you will divide 4/1 because unit rates your supposed to have a denominator of 1. And your answer should be 4 pounds per gallon.
^Hope this helps have a good day, Hazel^Plsss i need help boys and girls lol FRL :)
Answers
LOL what does frickingtriangle + square =6 equal
Answers
Answer:
3+3=6
Hope dhhhdjsjsbsjdbshs
check the point at (11,2) is a solution of the system shown below.
(ignore the question on the bottom)
Answers
Answer: I think the answer is the bottom " the solution
only work on the bottom equation"
Step-by-step explanation:
The length of a rectangular garden is four times its width (w), plus 3 feet. Which expression represents the garden's length in feet?
Answers
Answer: 4w + 3
Step-by-step explanation:
Since the width is represented by w.
The expression for the length of the rectangular garden which is four times its width (w), plus 3 feet will be:
= (4 × w) + 3
= 4w + 3
For example, if the width is 5feet, the length will be:
= 4w + 3
= 4(5) + 3
= 20 + 3
= 23 feet.
Simplify the radical expression
[tex]\sqrt5+6\sqrt5[/tex]
Answers
Answer:
Step-by-step explanation:
These are "like terms," as both terms contain √5. We add the coefficients together but leave the radical term √5 as is:
√5
+ 6√5
-----------
7√5
Answer:
√5 +6√5= 7√5
Decimal: 15.65247...
Find the inverse of the function.
f (x) = (x - 5)3=
Answers
Answer:
i think its (x - 5)3 = (x) f
Step-by-step explanation:
HELP PLZZZ!! (No link) .itch
Answers
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answers
Answer:
The gradient is m=1/3
Step-by-step explanation:
The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:
Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3
Therefore, the gradient/slope is 1/3.
Mason wants to buy 3 cans of cat
food for his cats. The store sells 8
cans for $11.44. What is the cost
of 3 cans of cat food?
Answers
Answer:
$4.29
Explanation:
$11.44 / 8 = $1.43
$1.43 x 3 = $4.29
HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS
Answers
Answer:
1= 2,3
2= 6,-2
Step-by-step explanation:
sup real human here,
d starts at 1,3
we move it to the right one to fill x+1 so it would be 2,3
We move it down 6 to fill y-6 so it would not be 2,-3
for 2, it is being moved down 5 and over 5
we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original
this would make 1,3 become 6,-2
Answer:
1. plug the point (1, 3) into the expressions: (x+1, y-6)
(1+1, 3-6) = (2, -3)
2. make an expression for the points based on B and B':
B: (4, -2)
B': (-1, 3)
(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3
plug in A (1,3):
(1 - 5, 3 + 5) = (-4, 8)
100(x-3) = 1,000
What’s the value of x?
Answers
Answer:
x=13
Step-by-step explanation:
100(x-3)=1000, divide both sides by 100
100/100(x-3)=1000/100
x-3=10, add three to both sides
x-3+3=10+3
x=13
The table shown below represents a function. Which of the following values could not be used to complete the table?
x
у
-10
-25
-5
5
10
15
20
-20
0-15
0-5
Answers
Answer:
-15
Step-by-step explanation:
100 precent hshssjjdjddjdjdjdjdjdj
what is the answer to
This?
Answers
Answer:
y=23
Step-by-step explanation:
What would be the perimeter??
Answers
Answer:
19.2
Step-by-step explanation:
4.8 x-4 = 19.2 meters
Answer:
19.2
Step-by-step explanation:
4.8 x 4
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answers
Answer:
$.27
Step-by-step explanation:
.105/7*18
Decide if the expressions are equivalent. 2.5x and x+5
Answers
WILL GIVE BRAINLIEST, NO LINKS
Find the area of the polygon.
Answers
Answer:
166.3
Step-by-step explanation:
line that shows 8, shows that each of six sides is 8
so that's 48
to get the "apothem"
it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)
so that is square root of 48 which is like 6.928
then plug into the formula
1/2 x 6.928 x 48 which is like 166.27
Christine worked 27 hours last month and earned $9 per hour. She spent $15 of her earnings since then. How much money does she have left?
Answers
Answer:
Step-by-step explanation:
228
Part B at 10:00 a.m., lin's was 7 meters. Add this point to the graph
at 1:00 p.m., lin was at sea level. add this point to the graph.
Answers
Answer:
add a graph so we can help you
Step-by-step explanation:
Help plz this is due today
Answers
Answer:
All three are similar!
Step-by-step explanation:
If you get that right, follow Sammy Revv on Spotify!
Answer:
The three of them are similar.
Step-by-step explanation:
1- Triangle A and Triangle B have two same angles, 37° and 47°, which means the two angles are congruent. According to the Angle Angle Theorem (AA), in two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.
2- First, place both triangles correctly. When you do it, you'll notice that 24≅12, 32≅16, and 9≅4.5:
24/12 = 2 ✓ 32/16 = 2 ✓ 9/4.5 = 2 ✓According to Side-Side-Side Theorem (SSS), if the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.
3- Here, the triangle shows in each one two different angles, sharing only one which is 55°. To know if they are congruent, you can add the two different angles that show both triangles, 72° and 53°, with the 55°. If it gives 180, it means the can be congruent:
55°+72°+53 = 180° ✓A scary man dressed as a tomato stops you on the street and demands that you do the problem: 6.76 / 1.3 What is your answer to 6.76 / 1.3?
Answers
Answer:
5.2
Step-by-step explanation:
Just divide 6.76 and 1.3, which equals 5.2.