**Answer:**

**Step-by-step explanation:**

If the diagram is correct, then the third angle of the smallest triangle is 90 degrees.

So the solution for x is

x + x - 16 +90= 180 Combine the left.

2x + 74 = 180 Subtract 106 from both sides.

2x = 180 - 74

2x = 106 Divide by 2

2x/2 = 106/2

x = 53

So to get the answer to your question, the 2 base angles are

53 + 53 + y = 180 where y is the apex (or unequal angle).

106 + y = 180 Subtract 74

y = 180 - 106

y = 74

**Answer: (I am not a maths moderator)**

x=4

**Step-by-step explanation:**

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

Answer) 1.5

Explanation) 21/14

**Answer:**

KM/KL = HJ/HI

**Step-by-step explanation:**

Triangle JIH is similar to MLK due to Angle-Angle similarity. So, KM/KL = HJ/HI

The original volume of the ballon, with radius r, is given by

V₀ = (4/3)πr³ in²

If the radius increases to (r+5) because of air input, the new volume is

V₁ = (4/3)π (r+5)³ in²

The difference in volume is the amount of air used to inflate the balloon.

The volume of air is

V = V₁ - V₀

= (4/3)π [r³ + 3r²(5) + 3r(5²) + 5³ - r³]

= (4/3)π (15r² + 75r + 125) in³

Answer: (4/3)π (15r² + 75r + 125) in³