Answer:
- x = 30°, y = 45°
- w = 14√2, v = 7√2
Step-by-step explanation:
ΔABC
- BC/AB = sin x
- 12/24 = sin x
- 1/2 = sin x
- x = 30°
ΔDBC
- DC = BC - given
- ∠C = 90° - given
- ΔDBC is isosceles right triangle
∠BDC ≅ ∠DBC ⇒ y = 45°
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ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2
ΔMKP is right isosceles triangle ⇒ MK = KP
- v = 1/2MN = 1/2(14√2) = 7√2
Answer:
the unit rate in ounces of icing per cake=40 4/5
3 eggs per order. (3 eggs per order x 12 orders = 36 total eggs)
Answer:
x = 16°
4x-7 = 57°
3x+4 = 52°
5x-9 = 71°
Step-by-step explanation:
All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.
4x-7 + 3x+4 + 5x-9 = 180
Simplify by combining like terms.
12x-12 = 180
Then, do inverse operations to find x.
12x=192
x=16
Now that we found x, we can substitute 16 for x in each angle equation in the triangle.
4(16)-7 = 57
3(16)+4 = 52
5(16)-9 = 71
