Answer:
∠ Y = 34°
Step-by-step explanation:
Since XY = ZY then the triangle is isosceles and the base angles are congruent, thus
∠ X = ∠ Y , that is
6x - 23 = 4x + 9 ( subtract 4x from both sides )
2x - 23 = 9 ( add 23 to both sides )
2x = 32 ( divide both sides by 2 )
x = 16
Thus
∠ Z = 4x + 9 = 4(16) + 9 = 64 + 9 = 73° = ∠ X
Hence
vertex angle Y = 180° - (73 + 73)° = 180° - 146° = 34°
Answer:
225 tons is the total
Step-by-step explanation:
Let the total amount be x
Given that,
32% of x = 72tons
32x/100 = 72tons
32x = 7200tons
x = 225 tons
To verify,
32% of 225 = 72tons
32/100 * 225 = 72 tons
72 = 72
Hence, verified.
The mass of an pear is about 4-6 ounces
This is a question that will require Pythagoras' theorem as you want to find the length of a diagonal of a triangle and are given the measurements of two sides. I have attached a picture of how to solve this problem.
To the nearest 10th of a foot, the answer is 77.6ft
Answer:
77.14 minutes.
Step-by-step explanation:
Jack's time = 3 hours
Jill's time = 2.25 hours = 2 1/4 = 9/4 hours
Combined time = x
Rates :
Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9
Combined rate = 1/x
Setting up the equation :
1/3 + 4/9 = 1/x
Lcm of 3 and 9 = 9
(3 + 4) / 9 = 1/x
7/9 = 1/x
Cross multiply :
7x = 9
x = 9/7 hours
x = (9/7)* 60
x = 77.14 minutes
Combined time = 77.14 minutes.
