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Oksanka [162]
2 years ago
9

Which lists the side lengths in order from shortest to longest?

Mathematics
1 answer:
MrMuchimi2 years ago
5 0

Answer:

A. d, e, f

Step-by-step explanation:

Suppose there is a triangle DEF in which,

EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,

∵ Sum of all interior angles of a triangle is 180°,

⇒ ∠D + ∠F + ∠E = 180°,

⇒ 48° + 73° + ∠E = 180°,

⇒ 121° + ∠E = 180°,

⇒∠E = 59°,

Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,

∵ ∠F > ∠E > ∠D

By the above statement,

f > e > d

Hence, FIRST OPTION is correct.

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mote1985 [20]

Answer:

She earned $288 this week

Step-by-step explanation:

x = 12

Work = 2(12) + 8

24 + 8 = 32 hours

Earned = (12) - 3 = 9 per hour

32 × 9 = $288

I hope this helps!

6 0
2 years ago
{x + 4y = 13<br> {x – y = 3
NARA [144]

Answer:

x = 5 and value of y = 2

Step-by-step explanation:

using substitution method

let;

x + 4y = 13...................... equation 1

x - y = 3............................... equation 2

from equation 2

x - y = 3.................................... eqn 2

x = y + 3.......................................... equation 3

put x = y + 3 in equation 1

x + 4y = 13...................... equation 1

y + 3 + 4y = 13

5y = 13 - 3

5y = 10

divide both sides by 5

i.e

5y/5 = 10/5

y = 2

sustitue for y  = 2 in equation 3

x = y + 3.......................................... equation 3

x = 2 + 3

x = 5

therefore the value of x = 5 and value of y = 2

to check if your answwer is correct slot in the value of x and y in any of the equation . e.g

from equation 3

x = y + 3.......................................... equation 3

5= 2 + 3

5 =5....................... proved

3 0
3 years ago
Alex purchased a motorbike that costs $3,500. He’ll pay for the motorbike through an installment plan. The installment plan requ
antoniya [11.8K]

Answer:

Alex will pay $3,662

Step-by-step explanation:

To find the total cost, we can make an equation modeling y=mx+b, with y being the total cost, m being the monthly charges, x being the amount of time it takes, and b being the 10% down payment.

After plugging in the numbers to the equation, we get y=276(12)+350.

Now all that is left is to solve the equation as follows:

y=3,312+350

y=3,662

3 0
3 years ago
Read 2 more answers
3 and 1/3 +[-2 and 1/4]+1 and 5/6
IceJOKER [234]

Answer: Hi, for these type of questions I can help you! I

Step-by-step explanation: hi, my answers are  correct but wont always give you a 100%. for any questions contact me and my legal team!

7 0
3 years ago
On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. Y
bearhunter [10]

Answer:

Milk $3.60

Water $1.80

Chips $0.90.

Step-by-step explanation:

If w = cost of 1 bottle of water, m = cost of 1 gal of milk and c cost of 1 bag of chips we have.

4m + 6w + 5c  = 29.7

Also we have w = 2c and m = 1.8 + w.

From the first equation we have c = w/2.

So substituting for c and m in the initial equation we have:

4(1.8 + w) + 6w + 5(w/2) = 29.7

7.2 + 4w + 6w + 2.5w = 29.7

12.5w = 22.5

w = 1. 80.

So c = w/2 = 1.8/2 = 0.90.

and  m = 1.8 + 1.8 = 3.60.

8 0
3 years ago
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