Answer:
x = 24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
3x + 2x + 60° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 5x + 60 = 180
- Isolate <em>x </em>term: 5x = 120
- Isolate <em>x</em>: x = 24
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<span>c. The slope of the line represented by this table is -3 and the y-intercept is -2.</span>
Answer:
5,120 cm³
Step-by-step explanation:
Volume = Base area × height
Base area = 160 cm²
Height = 32 cm
Vol. = 160 × 32
= 5,120 cm³
Answer:
True
Step-by-step explanation:
The one of the left isn't too tricky, in the bottom left of it you have 1/2 of 1/4 of the shape, and on the bottom right you have 1/4 of 1/4. Imagine the whole shape was cut up like that bottom right bit into 16 triangles, then you would have three of them shaded (see my diagram).
The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.
Answers: left picture: 3/16.
right picture: 9/16.