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Leviafan [203]
3 years ago
9

A cake calls for 25 cups of sugar. If I use 225 cups of sugar, how many batches did I make?

Mathematics
2 answers:
Lunna [17]3 years ago
7 0

Answer:

9

Step-by-step explanation:

25 + 25 + 25 + 25 = 100

25 + 25 + 25 + 25 = 100

+ 25

100 + 100 + 25 = 225

It took 225 cups of sugar to make 9 batches of cake!

Alja [10]3 years ago
5 0

Answer:

9

Step-by-step explanation:

225/25= 9

9 batches

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10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

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