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3 years ago

Find the number that makes 4:12 equivalent to 28:__.

Mathematics

2 answers:

babunello [35]3 years ago

7 0

Answer:

Step-by-step explanation:

4 : 12 = 28 : x

If you do something to one side you have to do the same thing to the other side.

28 ÷ 4 = 7

12 × 7 = 84

Hope This Helps :)

guapka [62]3 years ago

6 0

Answer:

Step-by-step explanation:

We can set up a proportion using fractions.

$\frac{4}{12} = \frac{28}{x}$

Now, let's cross multiply by multiplying 12 and 28 then dividing by 4.

$12\cdot28=336\\\\336\div4=84$

Hope this helped!

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4 years ago

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4 years ago

What is the length of AC? 3 ft 4 ft 9 ft 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

Question 15 please. Thanks

horsena [70]

Ignore the decimal places and do 789x38 and you get 29982. Now all you have to do is put the decimal places back. Since 789 was 7.89 it had 2 decimal places and 38 had 1 you have to move 29982 three decimal places to the left making your final answer 29.982.

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3 years ago