Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the converse of a statement
The converse of a statement is formed by switching the hypothesis and the conclusion.
STEP 2: break down the given statements
Hypothesis: If M is the midpoint of line segment PQ,
Conclusion: line segment PM is congruent to line segment QM
STEP 3: Switch the two statements
Hence, the answer is given as:
If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,
Answer:
18
Step-by-step explanation:
Answer:
The correct answer is C. 1/10.
Step-by-step explanation:
Given that a spinner has 10 equal sections numbered 1 through 10, to determine what is the probability of landing on the 6, the following calculation must be performed:
6 = 1 side only
10 = 10 options
1/10 = X
Therefore, the probability of the spinner landing on the 6 is 1/10.
Step-by-step explanation:
slope= -1/2
y intercept= 2
y=mx+b
m is the slope and b is the y intercept.
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
