The answer would 12. Think of ratios as fractions. 1/2 = 6/12 So, 6:12
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 )

(reason : ratio of corresponding sides)
Statement 3)

Thus, 
(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.
Answer:
98 is the answer of the expression
Step-by-step explanation:
AS it is a simple algebraic expression so these are solved by BDMAS rule which means that we have to solve the brackets first starting from the smaller bracket first which is inside a larger bracket then we will move to Division then multiplication then addition and then subtraction
so the following equation can be written as
= ![2^{3}[\frac{1}{4}+4(36/12)]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B4%2836%2F12%29%5D)
First of all solving smallest bracket and division inside it
= ![2^{3}[\frac{1}{4}+4(3)]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B4%283%29%5D)
Multplying 4 inside
= ![2^{3}[\frac{1}{4}+12]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B12%5D)
Now solving the 2³
= ![8[\frac{1}{4}+12]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%7D%7B4%7D%2B12%5D)
Now solving the expression inside the bracket by taking LCM
= ![8[\frac{1 + 4*12}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%20%2B%204%2A12%7D%7B4%7D%5D)
= ![8[\frac{1 + 48}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%20%2B%2048%7D%7B4%7D%5D)
= ![8[\frac{49}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B49%7D%7B4%7D%5D)
Now multiplying 8 with inside values
= ![[\frac{8*49}{4}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B8%2A49%7D%7B4%7D%5D)
AS 8 cuts out with 4 so
= 2 * 49
= 98
which is the answer of the expression
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