Answer:
17, 19, 21
Step-by-step explanation:
x = first number
x+2 = second number
x+4 = third number
4x + 3(x+2) + 2(x+4) = 167
simplify:
4x + 3x + 6 + 2x + 8 = 167
combine like terms:
9x + 14 = 167
subtract 14 from each side of the equation:
9x = 153
divide both sides by 9:
x = 17
1/2 x 2= 1
1/8 x 2= 1/4
3/8 x 2= 3/4
3/4 x 1/4 = 3/16
3/16 x 1 = 3/16
YOUR ANSWER IS 3/16 dry ingredients
Point = (0, 56)
Slope = 1
This is where you would use point slope.
y - y1 = m(x - x1)
y - 56 = 1(x - 0)
y - 56 = x
y = x + 56
Answer is A.
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
