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alexira [117]
3 years ago
10

Questions are shown in the picture, any help is appreciated! :)

Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0
A) 13 students
b) 13 students
c) 37 students
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Suppose a certain forest fire doubles in size every 12 hours. If the initial size of the fire was 1 acre, how many acres will th
sineoko [7]
The forest fire will be 4 acres
8 0
3 years ago
What is the length of AC?<br><br><br> 3 ft<br><br> 4 ft<br><br> 9 ft<br><br> 18 ft
iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

\frac{BM}{BA}=\frac{MN}{AC}

\frac{BM}{BM+MA}=\frac{MN}{AC}

\frac{4}{4+4}=\frac{9}{AC}

\frac{4}{8}=\frac{9}{AC}

4AC=72\implies AC = 18\text{ ft}

Thus, The length of AC is 18 ft.

5 0
3 years ago
Read 2 more answers
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB
katrin2010 [14]

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

4 0
3 years ago
every fourth visitor to a museum gets a free bumper sticker every tent visitor to the museum gets a free keychain which visitor
ioda
The 20th visitor will be the first to get both the key chain and the bumper sticker, I found this out by finding the least common multiple, or LCM, you do this by writing out the multiples of both 4 and 10, 4 8 12 16 20..... and 10 20 30... then you find the smallest number that both 4 and 10 have in common. I hope this helps, sorry if it doesn't.
8 0
3 years ago
Which of the following is the prime factorization of 510
Svetllana [295]

Answer:

2x3x5x17

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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