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.
This isn’t 30 points this is 15
Answer:
15625
Step-by-step explanation:
Lets use the information to present the question into mathematical form:

so this means -5 is multiplying itself 6 times so this means
value of negative 5 superscript 6 means
= -5 x -5 x -5 x -5 x -5 x -5
so the answer is 15625
Hey there! :)
Answer:
x = 5/2 and 3.
Step-by-step explanation:
Factor the equation. Find numbers that will sum up to -11 involving the coefficient of 2, and that multiply into 15.
2x² - 11x + 15 = 0
(2x - 5)(x - 3) = 0
Use the Zero Product Property to solve for the roots of this equation:
2x - 5 = 0
2x = 5
x = 5/2
----------
x - 3 = 0
x = 3.
Therefore, the two values of x that are roots of this equation are:
x = 5/2 and 3.