Answer:
200
Step-by-step explanation:
150=75% * X
X= 150/0.75
X-200
Answer:
- = 1
Step-by-step explanation:
<h3>Given</h3>
<h3>To find </h3>
- The value of the expression
<h3>Solution</h3>
<u>Let's rewrite the given as:</u>
- <u />
<u>Let the value is m and the expressions under 3rd roots are a and b, then we have </u>
- a = 3√21 + 8, b = 3√21 - 8
- m = ∛a - ∛b
<u>Cube the both sides:</u>
- m³ = (∛a - ∛b)³
- m³ = a - b - 3 + 3
<u>Simplify in bits:</u>
- a - b = 3√21 + 8 - 3√21 + 8 = 16
- ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125
- ∛ab = ∛125 = 5
<u>So the expression becomes:</u>
- m³ = 16 - 3
- m³ = 16 - 15∛a + 15∛b
- m³ = 16 - 15(∛a - ∛b)
- m³ = 16 - 15m
<u>Solve for m:</u>
- m³ + 15m - 16 = 0
- m³ - 1 + 15m - 15 = 0
- (m - 1)(m² + m + 1) + 15(m - 1) = 0
- (m - 1)(m² + m + 16) = 0
- m - 1 = 0, m² + m + 16 = 0
- m = 1 is the only real root, the quadratic equation has no real roots
The answer is 1
<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;
Substituting the measures of ∠1 and ∠2, we get;
Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;
Thus, the measure of ∠1 is 55°
Just plug it in (3,3) (2,6) (3,7) (4,8) (5,11) (6,14)