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Lelu [443]
3 years ago
9

Solve for m 13x - 10 M N 7x - 10

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

Given:

Arc LM = 13x - 10

Arc MN = 7x - 10

Required:

Solve for x

Solution:

Recall: half a circle = 180°

Therefore,

Arc LM + Arc MN = 180°

13x - 10 + 7x - 10 = 180

Add like terms

20x - 20 = 180

20x - 20 + 20 = 180 + 20

20x = 200

20x/20 = 200/20

x = 10

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Step-by-step explanation:

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Choose the symbol that correctly compares the fractions below.<br> 1/6<br> ?<br> 5/6
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Answer:

1/6<5/6

Step-by-step explanation:

1/6<5/6

8 0
3 years ago
Lisa sliced 12 cakes. Each chocolate cake had 6 slices and each lemon cake had 5 slices. If Lisa made 70 slices in total, how ma
mamaluj [8]

Answer:

Slices of chocolate cakes = 60,  Slices of lemon cakes = 10

Step-by-step explanation:

Given:

Total number of cakes, Lisa sliced = 12

Number of slices of each chocolate cake had = 6

Number of slices of each lemon cake had = 5

Total number of slices = 70

Question asked:

How many of each type of cake did she slice ?

Solution:

Let number of chocolate cakes = x

Then, number of lemon cakes = 12-x

Now, given that, each chocolate cake had 6 slices:

By using unitary method:

1 chocolate cake had = 6 slices

x chocolates cake had = 6x

Similarly, each lemon cake had 5 slices:

1 lemon cake had = 5 slices

12-x lemon cake had = 5(12-x)

Now, as it is given that Lisa made 70 slices in total:

Total number of slices of 12 cakes = Total number of slices of chocolate cakes + Total number of slices of lemon cakes

70=6x+5(12-x)\\ 70=6x+60-5x\\ 70=x+60

By subtracting both sides by 60,

x=10

Total number of chocolate cakes = 10

Total number of lemon cakes = 12- 10 = 2

Total number of slices of chocolate cakes = number of chocolate cakes \times number of slices of each chocolate cake

Total number of slices of chocolate cakes = 10\times6=60 \ slices

Total number of slices of lemon cakes = number of lemon cakes \times number of slices of each lemon cake

Total number of slices of lemon cakes = 2\times5=10\ slices

Therefore, total number of slices of chocolate cakes and lemon cakes are 60 and 10.

3 0
3 years ago
What’s the cube root of 1
Novay_Z [31]

Answer:

1

Step-by-step explanation:

\sqrt[3]{1}  =  \sqrt[3]{ {(1)}^{3} } = 1

5 0
3 years ago
Read 2 more answers
Find the value of X in the Isosceles triangle shown below
mylen [45]
Answer: 13.

Look at the height and the x. The measurements look very similar, and since the height= 12, 13 is the closest answer to 12 out of the three given answers, so 13 is the value of x.
8 0
3 years ago
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