The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM
Answers
Answer:
The side on triangle PQR that corresponds to side LN in triangle MNL is side QR.
Step-by-step explanation:
Triangle PQR is a dilated version of triangle LMN, specifically a dilation of 2, since LN = 12, the corresponding side to it on triangle PQR is side QR because it is twice as big as side LN, which is the dilation value for converting triangle LMN to triangle PQR.
The side of triangle PQR corresponds to side LN in triangle MNL will be QR.
What are similar triangles?Similar triangle are those which have two pairs of interior corresponding angles are equal or two pairs of corresponding sides are in proportion.
We have,
Two triangles as shown in the given figure,
Now,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{LM}{PR} =\frac{MN}{PQ} =\frac{LN}{QR}[/tex]
So,
Put values of sides ,
[tex]\frac{14}{28} =\frac{10}{20} =\frac{12}{24}[/tex]
i.e.
[tex]\frac{1}{2} =\frac{1}{2} =\frac{1}{2}[/tex]
So,
All sides in proportion according to the question,
Now,
The side which is in proportion to side LN is QR.
Hence, we can say that the side of triangle PQR corresponds to side LN in triangle MNL will be QR.
To know more about similar triangle click here
https://brainly.com/question/12460919
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Related Questions
7/3 into a mix number
Answers
Answer: 2 1/3
Step-by-step explanation:
Answer and Step-by-step explanation:
To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.
3 goes into 7 two times, so we put a two on the outside.
[tex]2\frac{1}{3}[/tex]
^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.
#teamtrees #WAP (Water And Plant)
A. 6.2 cm2
B. 12.4 cm2
C. 3.1 cm2
D. 9.4 cm2
please answer!! will give brainliest!
Answers
Answer:
The answer is "Option A".
Step-by-step explanation:
[tex]\to Base= 2 \ cm\\\\\to height=3.1 \ cm\\\\[/tex]
Formula:
[tex]\bold{Area= base \times height}\\\\[/tex]
[tex]=2 \times 3.1 \\\\= 6.2 \ cm^2[/tex]
if the height value is 3 then area is =6
simplificati raportul algebric
Answers
Answer:
F euuehejuehehheeeuzkvr
Answer:
what is the number
Step-by-step explanation:
i dontvno the answer beacause it is blurred
Which statement below is represented by the correct ratio? Choose all that apply.
"For every 4 boys in Mr. Washington's class, there are 3 girls." The ratio of boys to girls is 3:4.
"For every 10 minutes of reading, I can finish 15 pages of my book." The ratio of minutes reading to finished pages is 2.3.
"For every 50 shoppers at the grocery store, 25 watermelons are sold." The ratio of shoppers to watermelons sold is 1:2.
For every 7 tomato plants planted, 36 tomatoes will grow. The ratio of plants to tomatoes is 7:36.
Answers
Answer:
Step-by-step explanation:
Its basic all you do is multiply 4 x 3 and you get 12 ywwww!!!!!!!!!
Is the point (1,5)a solution to the equation y=2x+3?
Answers
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{ G \: I \: V \: E \: N \: \: P \: O \: I \: N \: T}}}} : [/tex]
( 1 , 5 )✰ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\: E \: N \: \: E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]
y = 2x + 3✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\:I \: N \: D}}} }: [/tex]
Whether the point ( 1 , 5 ) , a solution to the equation y = 2x + 3 or not.[tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]
Assuming the the value of x and y as 1 and 5 respectively. Now , plug the values of x and y in the given equation & let's see whether the point ( 1 ,5 ) , solution to the equation y = 2x + 3 or not !
⟶ [tex] \large{ \tt{5 = 2 \times 1 + 3}}[/tex]
⟶ [tex] \large{ \tt{5 = 2 + 3}}[/tex]
⟶ [tex] \large{ \tt{5 = 5}}[/tex]
Since we got 5 on R.H.S & L.H.S, So yeah! The point ( 1 , 5 ) is a solution to the equation y = 2x + 3.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
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16/20 – 1/4 =
I need help please thank you
Answers
Answer:
11 / 20
Step-by-step explanation:
16 / 20 - 1×5 / 4×5
16 / 20 - 5 / 20
16 - 5 / 20
= 11 / 20
Find the Shaded Area Please
Answers
Answer
78.5
Step-by-step explanation:
Area of a circle: A= π x r x r
help pls!!!!!!!!!!!!!!!!
Answers
Answer:
b 3.13
Step-by-step explanation:
did this beofer
Answer:
B = 3.13
Step-by-step explanation:
The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.
Therefore your answer is B - 3.13
Please help
!!!!
Please helpppp
Answers
Answer:
it is a because the angle is 34 more degrees then it is spouse to
Step-by-step explanation:
i just know plz give heart and rate 5 and plz give brainlest
What is the temperature shown?
Answers
Answer:
-3
....................
Answer:
-3
Step-by-step explanation:
(SAT Prep) Find the value of x.
Answers
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
In the left triangle, the angles are 35 + 90 + angle = 180. The third angle of the left triangle is 55 degrees.
Now recall that angles drawn from a straight line all add up to 180 degrees
So 55 + 60 + third angle = 180. Thus, the third angle is 65 degrees.
Within the middle triangle, we now have 2/3 of the angles. 90 + 65 + third angle = 180. Thus, the third angle is 25 degrees.
25 degrees is right next to angle X. As we have already stated, they add up to 180 when adjacent.
So 180-25 = 155 degrees, the value of angle X.
Find an equation of the line with the slope m=−1/8 that passes through the point (−5,0). Write the equation in the form Ax+By=C.
Answers
Answer:
x+8y= -5
Step-by-step explanation:
1) the required equation of the line has an slope-interception form:
y=mx+i, where m - slope, i - interception.
2) if the given point belongs to the required line, then it is possible to substitute its coordinates into the equation, then:
0=m*(-5)+i; ⇔-5m+i=0;
3) if the slope m= -1/8, then
-5*(-1/8)+i=0, ⇒5/8+i=0; ⇒ i= -5/8.
4) finally, the required equation is (m= -1/8; i= -5/8):
y= (-1/8)*x-5/8; ⇔ x+8y= -5.
note: the suggested solution is not the only way.
y = 4x - 11
4x - y = 11
Systems of equations by substitution
Answers
Answer:
............................
Answer:
No Solution
Step-by-step explanation:
Substitute y = 4x - 11 in 4x - y = 11
4x - y = 11
4x - 4x - 11 = 11
-11 = 11
There is no solution because -11 does not equal 11.
SOLVING THE SYSTEM BY ELIMINATION
Answers
Answer:
y=4,x=1
pink box- 10x+2y=18
Step-by-step explanation:
(5x+y =9)2
10x-7y=-18
10x+2y=18
10x-7y=-18
9y=36
y=4
x=1
if my answer helps please mark as brainliest.
Answer:
Pink box: 10x+2y=18
Solution: x=1, y=4
Step-by-step explanation:
2(5x+y=9)
10x-7y=-18
10x+2y=18
10x-7y=-18
9y=36
y=4
5x+y=9
5x+4=9
5x=5
x=1
Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?
Answers
Answer:
10 months
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
The first term of a gemotetric sequence is -15 and the common ratio is 6 What is the twelfth term of the sequence
Answers
Answer:
Step-by-step explanation:
a₁₂ = a₁r¹²⁻¹ = -15×6¹¹
I WILL GIVE BRAINLIST PLEASE HELP
Is the set of rational expressions closed under subtraction? Explain p(x) - r(x) = ______________
q(x) s(x)
2. Is the set of rational expressions closed under multiplication? Explain ( p(x) ) ( r(x) ) = _______________
q(x) s(x)
3. Is the set of rational expressions closed under division? Explain
p(x) ÷ r(x) = ________________ q(x) s(x)
Answers
Answer:
so where is the equation
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answers
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
Will mark Brainlyist help me fill out the chart
Answers
Answer:
The working is done in the image attached.
5.6 x N= 2.24 N=? Please help
Answers
Answer:
N = -3.36
Step-by-step explanation:
5.6 x N= 2.24
-5.6 -5.6
N= -3.36
Answer:
N= 0.4
Step-by-step explanation:
5.6 x N= 2.24
Divide both sides by 5.6
5.6 and 5.6 cancel out
2.24/5.6= 0.4
Check your work
5.6 x 0.4 =2.24
0.4 is correct
Hope this helps ^-^
Question 3 (2 points) (06.01) What is the value of the expression 24 + 32? (2 points) Blank 1:
Answers
The answer is 56....
hope it helps.
25 would be the answer. Here's what you need to do!! :)
-
-
-
Explanation:
I think you meant [tex]2^{4}[/tex] and [tex]3^{2}[/tex]. With exponents, you don't add the number and the exponent. What you have to do is the first number times itself, and let's use number one as an example. So, since it's four you have to do this.
-
-
[tex]2^4[/tex]= 2 x 2 x 2 x 2= 16
and for problem number two, it's the same thing but different numbers.
[tex]3^{2}[/tex]= 3 x 3 x 3= 9
-
-
now, all you have to do is add [tex]16+9= 25[/tex]
Again, the answer is 25. Hope this helps anybody who's currently working on this!! <3
please help me ASAP thank you
Answers
Answer:
Step-by-step explanation:
Your uncle is 2 years older than 3 times your age.
You are x years old. Write an expression to describe your uncles age.
It would be a lot helpful if you could answer this! :D
Answers
you are x
three times is 3x
2 years older is 3x + 2
Answer:
3x+2
Step-by-step explanation:
3 times x plus 2 since he's 2 years older than that
Salem Middle School uses 800 pounds of flour each month
making cookies for school lunches. If they buy their flour in
50 pound sacks, how many sacks must they buy each month?
O A. 13
O B. 16
O C. 30
O D. 50
really confused.
Answers
I will mark you as brainliest if you get the question right
Answers
Answer:
103
Step-by-step explanation:
x = 180-77 = 103
because it's a straight line, so 180 - 77 to find x
What is the volume of the cone shown below?
Answers
Answer:
A. [tex] 96\pi \: cu. \: units[/tex]
Step-by-step explanation:
Radius of cone (r) = 4 units
Height of cone (h) = 18 units
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]
Find (x + 4)(x2 + x - 2). Write your answer in standard form.
Answer please
Answers
Answer:
X^3 + 5x^2 + 2x - 8
Step-by-step explanation:
g A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. where traffic flow in vehicles per hour vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow () Vehicle Speed () 1257 36 1329 45 1227 30 1336 50 1349 55 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to decimals). Enter negative value as negative number. (Create the variable first using Data/Transform
Answers
Answer:
ŷ = 0.1286X - 123.2175 ;
r = 0.947
r² = 0.896
Step-by-step explanation:
Given the data:
Traffic Flow, X : ____Vehicke speed ;Y()
1257 ______________36
1329 ______________45
1227 ______________30
1336 ______________50
1349 ______________55
1124 ______________ 25
The estimated regression equation using a linear regression calculator based on the data given above is given thus:
ŷ = 0.1286X - 123.2175
Where ;
y = dependent variable (vehicle speed)
x = predictor variable (traffic flow)
Slope = 0.1286
Intercept = 123.2175
The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.
The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.
The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in inches, models the relationship. What is the predicted diameter, in inches, of the three after 12 years?
Answers
Define Love in 10 words. Don't me with this question rn XD
Answers
Answer:
uh...love is when you feel a certain way around someone
Step-by-step explanation:
