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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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Find the median of the following set of data. Round to the nearest tenth if necessary. 26.1, 8.4, 11.4, 44.1, 32.3, 46, 41, 18.5
timofeeve [1]

Answer:25

Step-by-step explanation:

8 0
3 years ago
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-b+7c b=2 c=-4<br> What’s the answer
Neko [114]

Answer:

-30

Start with multiplication 7x(-4) will equal -28 then add that to the -2 and you will get -30

8 0
3 years ago
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$17,818 is invested, part at 11% and the rest at 6%. If the interest earned from the amount invested at 11% exceeds the interest
erma4kov [3.2K]

Answer:We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.

8 0
3 years ago
The grocery store has 2 1/3 times as many cashiers in late afternoon than in the morning. If there are 21 cashiers at 10:00 am,
Fantom [35]
Well 21 times 2 is 42 and 1/3 of 21 is 7 so 42+7 is 49. hope this is right
7 0
3 years ago
Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule
MAVERICK [17]

9514 1404 393

Answer:

  (a)  (4, 8)

Step-by-step explanation:

Apply the transformation rule to the coordinates of point H.

  (x, y) → (x +8, y +5)

  H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)

4 0
3 years ago
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