Answer:
James = 1 year
Austin = 5 years
Step-by-step explanation:
Let James age = x
Let Austin's age = y
James is four years younger than Austin.
x = y - 4
If three times James age is increased by the square of Austin's age, the result is 28.
3(x - 4) + y² = 28
Hence,
Note: x = y - 4
Hence,
3y - 12 + y² = 28
3y + y² - 12 - 28 = 0
y² + 3y - 40 = 0
y² + 8y - 5y - 40 = 0
y(y + 8) - 5(y + 8 ) = 0
(y + 8)(y - 5)
y = -8
y = 5 years
x = y - 4
x = 5 - 4
x = 1 years.
Answer:
<h2>
∠PQT = 72°</h2>
Step-by-step explanation:
According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.
Also from the diagram, ∠OQP + ∠PQT = ∠OQT;
∠PQT = ∠OQT - ∠OQP
Given ∠OQP = 18° and ∠OQT = 90°
∠PQT = 90°-18°
∠PQT = 72°
Answer:
30
Step-by-step explanation:
there are 3 parts to form that 90 degree angle
0.63 is the correct answer