If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS
Answer:
She ran 6.71km in the evening
Step-by-step explanation:
3km 290m = 3.29km
10 - 3.29 = 6.71km
Answer:
A=27 cm^2
B=24 cm^2
C=26 cm^2
D=28 cm^2
Step-by-step explanation:
Break each problem down into individual shapes.
For instance, A can be split into a 3 by 3 square and a 6 by 3 square.
Get the area by multiplying the length & height: A = L * H
For the triangles the area is the same equation divided by 2 A=LH/2
Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.
Use pythagoras theorem to find height. you get, h=4. so volume ,
u get,v=
Answer:
9.5
Step-by-step explanation:
Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.
Step 1
We find the Mean of the numbers
Mean = Sum of terms/ Number of terms
Mean = 9+12+9+14+6/5
= 50/5
= 10
Step 2
We find the sample variance
Formula =
(x - Mean)²/n - 1
n = 5
= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1
= 1+ 4+ 1+ 16+16/5 - 1
= 38/5 - 1
= 38/4
= 9.5
Therefore, Sample variance = 9.5
