Answer:
The answer is <u>-37</u>.
Step-by-step explanation:
1) Simplify 50-2 to 48.
48 ÷ 4 -
2) Simplify to 49.
48 ÷ 4 - 49
3) Simplify 48 ÷ 4 to 12.
4) Simplify.
<u>Therefor, the answer is </u><u>Option C) -37</u><u>.</u>
The following set of ordered pairs is an example of direct variation, find the constant ratio between the variables. (Hint: Find
1 answer:
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Answer:
Step-by-step explanation:
Given
Toppings: Pico de gallo, Onions and Steak
Required
The probability of getting Onions and Steak
The probability is calculated using:
--- because the events are independent
So, we have:
The question is incomplete, the complete question is here
Find the measures of the angles of an isosceles triangle whose equal sides measure 8 and whose altitude drawn to the base measures 4
Answer:
The measures of the angles of the isosceles triangle are 30°, 30° and 120°
Step-by-step explanation:
In a triangle whose sides a, b, c and angles A, B and C, where a is opposite to ∠A, b is opposite to ∠B, and c is opposite to ∠C, the given is
- a = c
- m∠A = m∠C
The height from ∠B to side b is 4 units
That means the length of the height is half the length of each equal sides, then there is a right triangle its hypotenuse is 8 and the side opposite to the base angle is 4, so we can find the measure of the base angle by using the rule sin(base angle) =
∵ The base angles are ∠A and ∠C
∵ a = c = 8
∵ The altitude to b is 4
∵
- By using
∴ m∠A =
∴ m∠A = 30°
∵ m∠A = m∠C
∴ m∠C = 30°
Use the rule of the sum of the measures of the interior angle of a Δ is 180° to find m∠B
∵ m∠A + m∠C + m∠B = 180
∵ m∠A = m∠C = 30°
∴ 30° + 30° + m∠B = 180°
∴ 60 + m∠B = 180
- Subtract 60 from both sides
∴ m∠B = 120°
The measures of the angles of the isosceles triangle are 30°, 30° and 120°