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2 years ago

Please help me!! You must be good in math.

Mathematics

1 answer:

ivolga24 [154]2 years ago

8 0

It is SAS because
1) it is given that sides are equal (AB=CD)
2)it is also given that angles B and C are equal
3) BC is a common side so it is equal in both triangles.

answer: SAS

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Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

Required

The price of each

We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

$d = 1.00$

Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

2 years ago

Which expression represents the following calculation?

mrs_skeptik [129]

Answer:

7.4 x (87-24)

Step-by-step explanation:

The translation is that you multiply the difference of two numbers. So you must get the difference first, that's why you put parenthesis around 87-24. Your answers are sideways and are hard to read, so I'll just give you the correct answer without the answer choice.

5 0

2 years ago

Read 2 more answers

Danny worked 30 hours for $18.15/h. The following taxes were deducted from his gross pay: $50.31 in federal taxes, $36.17 in sta

Pavlova-9 [17]

I think the answer is b bc you do 18.15 * 30 then subtract all the taxes

4 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=16x%20-%20%288x%20%20%2B%206%29%20%3D90" id="TexFormula1" title="16x - (8x + 6) =90" alt="16x

Lina20 [59]

Answer:

x=12

Step-by-step explanation:

16x - (8x + 6) =90

The first step is to distribute the - sign

16x -8x -6 =90

Now we combine the like terms

8x-6 = 90

Add 6 to each side

8x-6+6 = 90+6

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

8 0

3 years ago

A lorry travel at 30 km per hour.If it takes 3/4 hour for a certain journey,how long is that journey

DiKsa [7]

Answer:

22.5 km

Step-by-step explanation:

divide 30 by 4 times it by 3

8 0

1 year ago