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.
Step-by-step explanation:
sec² x − 2 = 0
sec² x = 2
cos² x = ½
cos x = ±√½
x = π/4, 3π/4, 5π/4, 7π/4
You need to represent it as 2x + 10 = 50
Answer:
A = 414.69 km^2
Step-by-step explanation:
A = 2 π r h + 2 π r^2
A = 2(30)(pi) + 2(36)(pi)
A = 132pi
A = 414.69 km^2
Answer:
only work if mice are recaptured in the same location using the same trapping methods.
Step-by-step explanation:
According to my research on studies conducted by Biology Professionals, I can say that based on the information provided within the question this will only work if mice are recaptured in the same location using the same trapping methods. Otherwise another method might cause the capture of other species and make the results invalid.
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