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2 years ago

9

The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tab

les to list the possibilities

1 answer:

Keith_Richards [23]2 years ago

7 0

Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

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Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$

Cross multiply

$120=\frac{1}{2} x$

$x=240 min$

Convert minutes to inches

$\frac{240 min}{1} * \frac{1 hr}{60 min} = 4 hr$

Final answer: 4 hours

Hope this helps!

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3 years ago

The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal BD. Find the measure of ∠BAD.

saveliy_v [14]

The complete question in the attached figure

we know that
the diagonals of a rhombus intersect to form right angles,
so
angle ACE is ----------> (90°-64°)-----------> 26°
ACE is the angle bisector of ACD, this means that ACD is ---------> 26 x 2 = 52°

The diagonals are angle bisectors to the opposite corners
so
ACD = ACB = 52°
and
BCD = 52 x 2 = 104°
For a rhombus, opposite angles are equivalent,
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BAD = BCD = 104°

the answer is
angle BAD=104°

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3 years ago

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zmey [24]

Answer:

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Step-by-step explanation:

1. Test for outlier

An outlier is a point that is more than 1.5IQR below Q1 or above Q3.

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1.5 IQR = 1.5 × 23 = 34.5

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The point at 15 is an outlier.

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The longer part is to the left of the median, so the data is skewed left.

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2 years ago

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