Answer: z = 280
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable causes an increase in the value of the other variable. Also, a decrease in the value of one variable causes an decrease in the value of the other variable.
The variable z is directly proportional to x. If we introduce a constant of variation, the expression would be
z = kx
When x is 10, z has the value 140. It means that
140 = 10k
k = 140/10
k = 14
The equation becomes
z = 14x
the value of z when x = 20 is
z = 14 × 20
z = 280
Step-by-step explanation:
Area of a circle = πr²
r = 6 mm (given)
Area = π(6)² = 36π mm².
Answer:
1: x = -1
2: x = 3
3: x = -3
Step-by-step explanation:
f(x)=<u>x^3+x^2</u>−9x−9
f(x)=x^2<u>(</u>x+1) <u>−9x−9</u>
f(x) = x^2<u>(x+1)</u> - 9<u>(x+1)</u>
f(x)= (x+1)<u>(x^2-9)</u>
f(x) =(x+1)(x-3)(x+3)
We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>
Answer: 160
Step-by-step explanation: 5% of x = 8
In other words, x * 0.05 = 8. To find what x is, we need to work backwards.
x * 0.05 = 8
x = 8/0.05
x = 160
Would appreciate a brainly <3
