Answer/Step-by-step explanation:
m<MAH = 90° (linear pair. It is also supplementary to m<MAK = 90°)
m<MAL + m<HAL = m<MAH
Which is:
(9x + 1) + (x + 9) = 90°
Solve for x
9x + 1 + x + 9 = 90
Collect like terms
9x + x + 1 + 9 = 90
10x + 10 = 90
Subtract both sides by 10
10x + 10 - 10 = 90 - 10
10x = 80
Divide both sides by 10
x = 8
Find m<MAL
m<MAL = 9x + 1
Plug in the value of x
m<MAL = 9(8) + 1 = 72 + 1 = 73°
Find m<HAL
m<HAL = x + 9
m<HAL = 8 + 9 = 17°
Answer:
x = 816 kilometers per hour.
Step-by-step explanation:
Given the following data;
Distance traveled by Kirk = 450km
Distance traveled by Thor = 408 km
Let the average driving speed of Thor be x.
Translating the word problem into an algebraic equation;
k = x + 6
We know that the time taken to cover a distance by an object with speed is given by the formula;
Time = distance/speed
Substituting into the equation, we have;
408/x = 405/x + 6
Cross-multiplying, we have;
408*(x + 6) = 405*x
408x + 2448 = 405x
408x - 405x = 2448
3x = 2448
x = 2448/3
x = 816 kilometers per hour.
Answer:
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Answer:
Option C) The two quantities are equal.
Step-by-step explanation:
We are given the following in the question:
n is a negative integer and p is a positive integer.
Quantity A: The product of the integers from n to p
Quantity B: 0
Quantity A is the product of integers from n to p. Since all the integers from n to p will include zero between them, thus the product of all the integers from n to p will be zero.
The product takes place in the following manner:
Thus, both the quantities are equal.
Option C) The two quantities are equal.
