Answer:
Refer below explanation.
Step-by-step explanation:
Given : two triangles ∆QPK and ∆LMK.
We have to show ∆QPK ≅ ∆LMK.
Two triangles are similar if ratio of the corresponding sides are equal and measure of corresponding angles are equal.
Statement 1)
QK=16, PK=26, MK=65, KL=40 ( Reason: Given)
Statement 2 )
![\frac{QL}{KL}=\frac{16}{40} \\\\\frac{PK}{KM} =\frac{26}{65}](https://tex.z-dn.net/?f=%5Cfrac%7BQL%7D%7BKL%7D%3D%5Cfrac%7B16%7D%7B40%7D%20%5C%5C%5C%5C%5Cfrac%7BPK%7D%7BKM%7D%20%3D%5Cfrac%7B26%7D%7B65%7D)
(reason : ratio of corresponding sides)
Statement 3)
![\frac{QL}{KL}=\frac{16}{40}=\frac{2}{5} \\\\\frac{PK}{KM} =\frac{26}{65}=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BQL%7D%7BKL%7D%3D%5Cfrac%7B16%7D%7B40%7D%3D%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%5C%5C%5Cfrac%7BPK%7D%7BKM%7D%20%3D%5Cfrac%7B26%7D%7B65%7D%3D%5Cfrac%7B2%7D%7B5%7D)
Thus, ![\frac{QL}{KL}=\frac{PK}{KM} =\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BQL%7D%7BKL%7D%3D%5Cfrac%7BPK%7D%7BKM%7D%20%3D%5Cfrac%7B2%7D%7B5%7D)
(reason: simplify ratios)
Statement 4)
∠MKL = ∠PQK (reason : Vertically opposite angles)
Statement 5)
∆QPK ≅ ∆LMK (reason : Side-angle-side)
Side angle side similarity criterion states that two angles are similar if the ratio of their corresponding sides and angle between these sides are equal then triangles are similar.
#13 is 196 and #14 is 15 dimes.
Answer: 300
Step-by-step explanation:
Let the total number of people surveyed be represented by x.
Since we are informed that the probability of a customer ordering chicken is 1/4 and 75 people said they prefer to order chicken. This will then be:
1/4 of x = 75
1/4 × x = 75
x = 75 × 4
= 300
Therefore, 300 people were surveyed
Answer:
Question 8: answer is D
Question 7: answer is B
You can tell which one is bigger because the one with a larger box has a bigger IQR :)
You can tell the minimum is bigger by looking at the numbers on the number line
Answer:
answer will be ?= 5x2y-10xy+9