Volume of the box: Length x Width x Height
Our 24 units³ box volume could have the following sizes:
4(L) x 3(W) x 2 (H) = 24 in³
New box dimension: 4x4(L), 4x3(W) & 4x2(H) = 16x12x8 = 1,536 in³
I'll start with the triangle figure.
Interior angles of a triangle is equal to 180°. The given triangle is an Isosceles triangle. It has 2 equal sides and 2 equal angles.
#7 is 69° because its vertical angle is 69°. Vertical angles are equal.
#8 is 111°. As I said, isosceles triangle has 2 equal angles. The angle that is beside #8 is 69°, equal to #7. So, 180° - 69° = 111°
Interior angles are already given except for #4. So, 180° - 69° - 69° = 42°
#3 is computed by 180° - 42° - 69° = 69°
#9 = 116° ; alternate interior angles are equal.
#10 = 180° - 116° = 64°
The last triangle looks like an equilateral triangle. It means that its sides and angles are equal.
360° / 6 = 60°
#1, #2, #5, and #6 = 60° each
#11 = 60° - equilateral triangle, all interior angles are equal.
#12 = 30°; 180° - 90° - 60° = 30°
See attachment for math work and answer.
Answer:
y = -2x + 2
General Formulas and Concepts
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-1, 4)
y-intercept (0, 2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Divide:

<u>Step 3: Write linear equation</u>
y = -2x + 2
Answer: 87.5
Step-by-step explanation:
Triangle area = base * height / 2
25 * 7 = 175
175/ 2 = 87.5