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Irina-Kira [14]
3 years ago
10

reggie is making a double layer cake the recipe for the first layer 2 1/4 cups of sugar the recipe for the second layer calls fo

r 1 1/4 cups of sugar reggie has 5 cups of sugar how much will he have left after making both recipes
Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0
2 plus 1 is 3
1/4 plus 1/4 is 1/2
Both recipes would be 3 1/2 cups
5 cups minus 3 1/2 cups would leave him with 1 1/2 cups extra
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Jose's school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can
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Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

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  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

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For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

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--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

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