Question 13 (5 points)
Identify each solid. Name the bases, faces, edges, and vertices.
triangular pyramid; POR, STU; POR, STU, POTS, ROTU, SURP: PO. OR, PR, OT, PS, RU, TU, TS, SUP,
OR, S, T, U
rectangular prism; POR, STU; POR, STU, POTS, AQTU, SURP; PO. OR, PR, OT, PS, RU, TU, TS, SU; P.
O, R, S, T, U
triangular prism; POR, STU; POR, STU, POTS, BOTU, SURP; PO, OR, PR, OT, PS, RU, TU, TS; POR
S, T, U
triangular prism; POR, STU; POR, STU, POTS, ROTU, SURP: PO. OR, PR, OT, PS, RU, TU, SU: P.
R, S, T, U
NEW

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

step-by-step explanation: