Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=5,−2
Step-by-step explanation:
I can do math
<h3>
Answer: 5 cakes</h3>
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Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

Do the same for the other mixed number 2 & 1/3.

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

The last step is to convert that result to a mixed number.

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
Answer:
42°
Step-by-step explanation:
For this problem, it may help you to draw it out to visualize it. You want to find the angle between the stream and road. Based on the description the triangle looks like this.
/ |
Stream(27) / | Road( 20)
/__|
Fence
You know the length of the road is 20, and the stream is 27. The angle can be found by using Cos∅=a/h. Adjacent to where the road and stream meet is the road, 20, and hypotenuse is the stream, 27.
So 20/27 = .74 = Cos∅
To find the angle ∅ use inverse cosine to get 42°.
Hope that helps and let me know if I did anything incorrectly!
Answer:
The answer is D. 29.64
Step-by-Step Explanation:
Parenthesis first...
39.64-5*(2)
Then multiplication...
39.64-10
Then subtraction...
29.64
Answer:
Step-by-step explanation:
7) ∠1 + 30 = 180 {linear pair}
∠1 = 180 - 30
∠1 = 150
8) ∠2 = 30 {Vertically opposite angles are congruent}
9) In ΔLMN,
∠L + ∠N + ∠M = 180 {angle sum property of triangle}
50 + 30 + ∠M = 180
80 + ∠M = 180
∠M = 180 - 80
∠M = 100°
10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.
∠B + ∠A = ∠BCD
30 + ∠A = 80
∠A = 80 - 30
∠A = 50