Answer:
The measure of U is 106 degrees
Step-by-step explanation:
Ok, so first let's solve for <em>x</em> <em>(noting that the interior angles add up to 360)</em>
W=90 (right angle) V = 11x+1 X=75 U=12x+10
now let's put them into equation format:
90 + 11x + 1 + 12x + 10 + 75 = 360
combine like terms:
90 + 1 + 10 + 75=176 11x + 12x=23x
we get: 23x + 176=360
solve: -176 -176
23x = 184
/23x /23x
x = 8
Now we have to solve for U:
12(8) + 10 = ?
96 + 10 = 106
Thus, it is 106 degrees
Answer:
6 inches
Step-by-step explanation:
-----------------------------------------------------------
Answer:
x = 6
a = 18 ft
b = 36 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Factoring/Expanding
- Solving quadratics
<u>Trigonometry</u>
- Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Given: Right triangle
a = 3x
b = 6x
c = 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: (3x)² + (6x)² = 40²
- Evaluate: 9x² + 36x² = 1600
- Combine like terms: 45x² = 1600
- Isolate <em>x </em>term: x² = 320/9
- Isolate <em>x</em>: x = (±8√5)/3
- Evaluate: x = ±5.96285
Since it is not a quadrant triangle, we must use the positive value for <em>x</em>.
<u>Step 3: Find legs</u>
Leg a
- Define: 3x
- Substitute: 3(5.96285)
- Multiply: 17.8885
- Round: 18
Leg b
- Define: 6x
- Substitute: 6(5.96285)
- Multiply: 35.7771
- Round: 36
The answer to your question is .02