To solve this problem, we need to know that the adjacent interior angles (2 and 5, or 3 and 4) between two parallel lines are supplementary.
This means that ∠2+∠5 = 180 °
which means
x+50 + 4x+30 = 180
collect similar terms and solve
5x + 80 = 180
5x = 180-80 = 100
x=20 °
∠2 = x+50 = 20+50 = 70 °
But ∠ 1 = ∠ 2 (vertical angles)
therefore
∠ 1 = 70 °
Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²
Answer:
⁴√16³ˣ
Step-by-step explanation:
16³/⁴ ˣ
The above can be expressed as follow:
16³/⁴ ˣ = 16³ˣ/⁴
Recall:
Aᵐ/ⁿ = ⁿ√Aᵐ
Therefore,
16³ˣ/⁴ = ⁴√16³ˣ
Thus, 16³/⁴ ˣ is equivalent to ⁴√16³ˣ
Answer:
x
3
Step-by-step explanation:
You add 5 to both sides. Then divide it by 4 to get your answer.
Answer:
2.5
Step-by-step explanation:
30/12 = 2.5
