Distributive property states a(b+c) = ab + ac
9(10 + x) = 90 + 9x
Your answer is B. 90 + 9x.
Answer:
Area of 9 cm circle = PI*radius^2 = 254.47
Area of 9 cm sircle = PI*4*4 = 50.27
Are of shaded region = 254.47 -50.27 = 204 sq cm
Answer is the bottom one on the list.
Step-by-step explanation:
<span>x^2 – 7x + 10 = (x-2)(x-5)
</span><span>4x^2 – 81 = (2x-9)(2x+9)
</span><span>3x^3 – 12x - 3x(x-2)(x+2)</span>
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°°
