Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 + 
b = 540 ← simplify left side
b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b = × 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
From the diagram above
mixtures of 3 cups of red paints and 2 cups of green paints for 1 batch
this means for every one batch of brown paint
you have 3 cups of red paints and 2 cups of green paints
for three batches
3 red cups + 3 red cups + 3 red cups = 9 reds cup
2 green cups + 2 green cups + 2 green cups = 6 greens cup
to produce three batches you will need the mixture of 9 red cups of paints and 6 green cups of paint
adding to the diagram you will have 6 more red cups and 4 more green cups
Answer:
1. Identify the problem: Packaging boxes use too much material and create waste
2. What are the equations for the volume and surface area of a cube and rectangular prism?
Volume of a cube: Vcube = L x L x L = L3
Surface area of a cube: SAcube = 6 x (L x L) = 6L2
Volume of a rectangular prism: VRP = L x W x H = LWH
Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)
3. What is the difference in surface area of the packages below? (Note that they have the same volume.)
SAcube = 6L2
= 6 (20 cm)2
= 2,400 cm2
SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2
SARP – SAcube = 2,800 cm2
– 2,400cm2
= 400 cm
Step-by-step explanation:
everything in bold is the answer
Can I please get the Brainlist
Substitute -3 to x
(-3)^2 + 4(-3) + 1
9 - 12 + 1
= -2
The answer would be 224 pages!
