1. certain
2. unlikely
3.impossible
4.neither likely of unlikely
Step-by-step explanation:
Given
mZEFH = (5x + 1)'
mZHFG = 62°
mZEFG = (18x + 11)',
The addition property of the angle is true
mZEFG = mZEFH + mZHFG
(18x + 11) = (5x + 1)'+ 62
18x+11 = 5x + 63
collect like terms
18x - 5x = 63-11
13x = 52
divide both sides by 13
13x/13 = 52/13
x = 4
Since angle mZEFH = (5x + 1)' and x = 4, we will substitute x = 4 into the function;
mZEFH = 5(4) + 1
mZEFH = 20 + 1
mZEFH = 21°
Similarly for mZEFG = (18x + 11)'
mZEFG = 18(4) + 11
mZEFG =72+11
mZEFG = 83°
Answer:
9 ft
Step-by-step explanation:
Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)
for height, we get:
3V = (base area)(height), or
3V
---------------- = height
base area
Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:
3(75 ft^3) 9 ft
height = ------------------ = ----------------- = 9 ft
25 ft^2 1
110x=405
1*x^2 +1*x^1 +0*x^0=4*5^1+0*5^0
x^2+x=4*5
x^2+x=20
x^2+x-20=0
x^2 +5x-4x-20=0
x(x+5)-4(x+5)=20
(x-4)(x+5)=20
x= 4 or -5
But a base cannot be negative so
x=4
Solve the following<span> system using addition. 2x + y = 9</span>