Problem 10
You are correct. You divide 360 over the exterior angle measure to get 360/72 = 5
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Problem 11
x = 33 is correct as this angle is an alternate interior angle pair with the 33 degree angle up top
y = 38 is correct since y+33+109 = 180 solves to y = 38. In other words: 38+33+109 = 180
z = 109 is correct. The opposite angles of a parallelogram are congruent
1/2 t-4(2+t)=20
1/2 t-8-4t=20
least common multiple=2
t-16-8t=40
-7t=40+16
-7t=56
t=56/-7=-8
Answer: t=-8
To check
-8/2 - 4(2-8)=-4-4(-6)=-4+24=20
Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
x=-2
Step-by-step explanation:
6(x + 1) = -2(3x + 9)
Distribute 6 and -2.
6x+6=-6x-18
Move the variable to the left-hand side and move the constant to the right and change their signs.
6x+6x=-18-6
Collect like terms.
12x=-24
Divide both sides of the equation by 12.
x=-2
Hope this helps :)
Answer:
c
Step-by-step explanation:
