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Varvara68 [4.7K]
3 years ago
6

Solve for the missing variable(s) and SHOW ALL WORK

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

From the picture attached,

By using mean ratio theorem in the given triangle,

\frac{AC}{BC}=\frac{BC}{CD}

AC × CD = (BC)²

(x + 5)x = (x + 2)² [Since, AC = AD + CD]

x² + 5x = x² + 4x + 4

5x = 4x + 4

5x - 4x = 4

x = 4

Therefore, x = 4 will be the answer.

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The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions
Ray Of Light [21]

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

l \times w = 24

The perimeter of the rectangular field is given as 22 feet.

This implies that,

2(l + w) = 22

Or

l + w = 11

We make w the subject in this last equation and put it inside the first equation.

w = 11 - l

When we substitute into the first equation we get;

l(11 - l) = 24

11l -  {l}^{2}  = 24

This implies that,

{l}^{2}  - 11l + 24 = 0

(l - 3)(l - 8) = 24

l = 3 \: or \: 8

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

3 0
3 years ago
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Heather wants to buy a CD that cost 18.63. How much change does she receive if she gives the cashier $100?
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Answer:

81.37

Step-by-step explanation:

100 - 18.63 = 81.37

3 0
3 years ago
What is 327÷36 for math class
vfiekz [6]
That's easy 327 <span>÷ 36 is  9.083</span>
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Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations
nexus9112 [7]

Answer: option d is correct .


Step-by-step explanation:

In order to find the same attendance  we set both equation equal

8x+191 = -x^2+26x+126

simplifying equation ,we get

x^2 -18x+65=0

(x-5) (x-13) = 0

x =5  or x =13

therefore on 5th day and 13th day  both plays attendance  is same

and it is obtained by plugging x = 5 in  and x =13 in either of the equation.

for x = 5 ,

y = 8(5) +191 = 40+191 = 231

for x = 13

y = 8(13)+191

 = 104+191

 = 295

therefore option d is correct  





4 0
3 years ago
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