Can someone help me on this plzzz
2 answers:
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Answer:
m∠WXZ = 38°
m∠ZXY = 52°
Step-by-step explanation:
In the question
- ∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXY
- That means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY
∵ ∠WXY is a right angle
→ That means its measure is 90°
∴ m∠WXY = 90°
∵ m∠WXZ + m∠ZXY = m∠WXY
∵ m∠WXZ = (5x + 3)°
∵ m∠ZXY = (8x - 4)°
∵ m∠WXY = 90°
→ Substitute their values in the equation above
∴ (5x + 3) + (8x - 4) = 90
→ Add the like terms in the left side
∵ (5x + 8x) + (3 - 4) = 90
∴ 13x + (-1) = 90
∴ 13x - 1 = 90
→ Add 1 to both sides
∴ 13x - 1 + 1 = 90 + 1
∴ 13x = 91
→ Divide both sides by 13
∴
∴ x = 7
→ To find the measure of each angle substitute x by 7 in their measures
∵ m∠WXZ = 5x + 3
∴ m∠WXZ = 5(7) + 3
∴ m∠WXZ = 35 + 3
∴ m∠WXZ = 38°
∵ m∠ZXY = 8x - 4
∴ m∠ZXY = 8(7) - 4
∴ m∠ZXY = 56 - 4
∴ m∠ZXY = 52°
Answer:
2 kittens per crate
Step-by-step explanation:
The kittens in a room at an animal shelter are arranged in five crates, as shown.
The manager of the shelter wants the kittens distributed equally among the crates. How might that be done? How many kittens will end up in each crate?
Crate 1 = 2 kittens
Crate 2 = 1 kitten
Crate 3 = 4 kittens
Crate 4 = 3 kittens
Crate 5 = 0 kitten
Total kittens = 2 + 1 + 4 + 3 + 0
= 10 kittens
To distribute them equally among the crates, divide the number of kittens by the number of crates
Kitten per crate = number of kittens / number of crates
= 10 kittens / 5 crates
= 2 kittens per crate
Kitten per crate = 2 kittens per crate
