Answer:
Step-by-step explanation:
From the information obtained from the question, two equations can be created:
Let x and z be the two numbers (parts)

. . . . (1)

. . . . (2)
By transposing (2), make 'z' the subject of the equation

. . . . (3)
By substituting (3) into equation (1) to find a value for x




⇒

∴ either

OR

Thus x = 5 or x = 10
By substituting the values of x into (2) to find z
z + (5) = 15 OR z + (10) = 15
⇒ z = 10 OR z = 5
So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.
Answer:
x = 60°
Step-by-step explanation:
AOB Center: O AB: diameter
arc ADB = 180°
arc DB = 180 - arc AD = 80°
x = 1/2 x ( arc DB + arc AC) = 1/2 x (80 + 40) = 60°
If she needs to use 225g of flour for each cake and wants to make 18 cakes she will need 4050g (225x18=4050) of flour but she only has 360g which is obviously not enough flour. For one cake she needs 75g of sugar and since she needs to make 18 cakes she needs 1350g (75x18=1350) of sugar. She only has 135g so it’s not enough.
Pythagorean Theorem
Height = 3
Length = 5
Hypotenuse^2 = 3^3 + 5^2
Hypotenuse^2 = 9 + 25
Hypotenuse^2 = 34
Line CD = sq root(34) =
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5.8309518948
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