Answer:
Interior Angle Theorem
x=5
measure of angles: 46, 46, 134
Step-by-step explanation:
Interior angle theorem
12x-14=5x+21
7x=35
x=5
12x-14=12(5)-14=46
5x+21=5(5)+21=46
20x+34=20(5)+34=134
No its not polygons dont cross lines
Answer:
x = 67.5 ft
Step-by-step explanation:
In ΔNMP
∵ AB // NP
∴ m∠ MAB = m∠MNP
∴ m∠MBA = m∠MPN
∵ ∠M is a comman angle
∴ ΔMAB is similar to ΔMNP
∴ MA/MN = MB/MP
∵ MA = 71.5 - 22 = 49.5
∴ 49.5/71.5 = x/97.5
∴ x = 
= 67.5
Answer:
w=-11/4 or -2 and 3/4
Step-by-step explanation:
To solve this, we first have to cancel out the dividing by-3. We can use the inverse operation of division, which is multiplication. We have to multiply both sides by -3, and the equation becomes 4w+5= -6. Then, we subtract 5 from both sides. We get 4w= -11. We finally divide 4 on both sides, getting w=-11/4. -11/4 is in improper fraction form and -2 and 3/4 is in mixed number form.
Answer:
470 cm³
Step-by-step explanation:
Decompose the prism into two rectangular prism.
Prism 1 will have the following dimensions and volume:
Length = 10 cm
Height = 8 cm
Width = 9 - 5 = 4 cm
Volume = L × W × H
Volume = 10 × 8 × 4 = 320 cm³
Prism 2:
Length = 10 cm
Height = 3 cm
Width = 5 cm
Volume = 10 × 3 × 5 = 150 cm³
✔️Volume of the entire prism = 320 + 150 = 470 cm³
