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Tom [10]
3 years ago
9

ABCD is a rectangle. If AC = 2x + 10 and BD = 56, find the value of x.

Mathematics
1 answer:
TEA [102]3 years ago
7 0

9514 1404 393

Answer:

  (b)  23

Step-by-step explanation:

The diagonals of a rectangle are the same length, so ...

  AC = BD

  2x +10 = 56

  x +5 = 28 . . . . . divide by 2

  x = 23 . . . . . . . . subtract 5

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The improper fraction 37/6 can be changed to the mixed number​
Lana71 [14]

Answer: 6 1/6

Step-by-step explanation:

6 can go into 37 6 times

6x6=36

with 1 left over

5 0
4 years ago
How do you solve this problem? Emma and Anna went to the market to buy 25 fruits. Emma got a few apples that cost $2 each, and A
sp2606 [1]

Anna bought 10 oranges

Explanation:

Let x denote the number of apples.

Let y denote the number of oranges.

The system of equations can be written as

x+y=25 and 2x+3y=60

Let us solve the equation by substitution method.

Thus, from x+y=25, the value of y can be determined such that y=25-x

Using the y value y=25-x in the equation 2x+3y=60, we get,

2x+3(25-x)=60

Multiplying 3 within the bracket,

2x+75-3x=60

Adding the terms,

75-x=60

Subtracting both sides by 75, we have,

x=15

Thus, substituting x=15 in y=25-x, we get,

y=25-15\\y=10

Thus, Anna get 10 Oranges.

7 0
4 years ago
Please help me!!! show work
WINSTONCH [101]

Answer:x=8 or x=-2

Step-by-step explanation:

log4(x-6) + log4(x)=2

log4(x(x-6))=2

4^2=x(x-6)

4x4=x(x-6)

16=x^2-6x

Arrange the quadratic equation

x^2-6x-16=0

x^2+2x-8x-16=0

x(x+2)-8(x+2)=0

(x-8)(x+2)=0

x-8=0. x+2=0

x=8. x=-2

3 0
3 years ago
a certain stock starts the day at $27 3/8 per share. if it drops $2 1/2 during the day what is it’s closing value
Tasya [4]

let's firstly convert the mixed fractions to improper fractions and then simply get their difference, our denominators will be 8 and 2, so our LCD will be 8.

\bf \stackrel{mixed}{27\frac{3}{8}}\implies \cfrac{27\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{219}{8}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{219}{8}-\cfrac{5}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)219~~-~~(4)5}{8}}\implies \cfrac{219-20}{8}\implies \cfrac{199}{8}\implies 24\frac{7}{8}

8 0
3 years ago
Lynn’s cruise lasted 11 days and 7 hours. Convert the time to hour
arsen [322]

Here is conversion chart

1 day=24hr

so the equation to solve this would look like this

(24*11)+7

Therefore the answer is 271 hr

4 0
2 years ago
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