In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.
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Answer:
Option A.
Step-by-step explanation:
It is given that
The given expression is
Substitute the given values in the above expression.
Therefore, the correct option is A.
1 batch need 3/4 gallon of milk
She has 1/4 gallon cup
(3/4) divided by (1/4)
A technique in math is just flip the divider which is (1/4) to (4/1)
so it becomes (3/4) multiply (4/1) = (3x4) / (4x1) = 12/4 = 3 times for one batch
She needs three batches so 3 x 3 = 9 times to fill the measuring cup to make all 3 batches of milkshake.
Answer:
∠A = 48
∠B = 58
∠BCA = 74
Step-by-step explanation:
m∠BCD is an exterior angle of a triangle while m∠A and m∠B are opposite interior angles of m∠BCD
Exterior angles of a triangle are equal to the sum of the opposite interior angles, hence m∠BCD = m∠A + m∠B
Knowing this we can create an equation to solve for y
∠BCA = 106° , ∠B = 3y + 22 and ∠A = 4y
If m∠BCD = m∠A + m∠B then 106 = 3y + 22 + 4y
106 = 3y + 22 + 4y we now solve for y
combine like terms ( 3y + 4y = 7y )
106 = 7y + 22
subtract 22 from both sides
84 = 7y
divide both sides by 7
12 = y
Now we can find the measures of ∠A and ∠B by plugging in the value of y into their expressions
∠A = 4y
y = 12
∠A = 4(12) = 48°
∠B = 3y + 22
y = 12
∠B = 3(12) + 22
3 * 12 = 36
∠B = 36 + 22 = 58°
Finally we want to find the measure of ∠BCA
∠BCA and ∠BCD are supplementary angles
Supplementary angles add up to 180°
Hence ∠BCA + ∠BCD = 180
∠BCD = 106°
∠BCA + 106 = 180
subtract 106 from both sides
∠BCA = 74°°
