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3 years ago

Given that YX=YZ write an inequality that relates m

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

C. m<XYA > m<ZYA.

Step-by-step explanation:

Since XY = YZ, as indicated in the information given, the angles opposite XY and YZ would also be of equal measure of degrees.

Thus, XA = 5. The angle opposite XA is m<XYA.

ZA = 3. The angle opposite ZA is m<ZYA.

Since XA > ZA, therefore,

m<XYA > m<ZYA.

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Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.

Olegator [25]

Answer:

14.6 units

Step-by-step explanation:

AB = $\sqrt{(1-3)^2+(3-5)^2}$

AB = $\sqrt{8}$

BC = $\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}$

CD = $\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}$

DA = $\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}$

Primeter = $\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6$

4 0

3 years ago

Percy has $50 in a savings account the interest rate is 10% per year is not compound how much will he have in one year

yan [13]

Answer:

$55

Step-by-step explanation:

Given data

Principal = $50

Rate= 10%

Time = 1 year

The simple interest formula is given as

A= P(1+rt)

substitute

A= 50(1+0.1*1)

A= 50(1.1)

A= $55

Hence the balance in her account will be $55

3 0

3 years ago

Which of the following expressions is not equal to 12?<br> |-12|<br> 2|6|<br> -|12|

valentina_108 [34]

Answer:

The absolute value is the distance between a number and zero. The distance between −12 and 0 is 12

Step-by-step explanation:

6 0

3 years ago

Solve for the variable: -8f > 56

kolbaska11 [484]

Hi there....

-8f > 56
Divide both sides by -8
-8f/-8 > 56/-8
f < -7

The correct option is : B

6 0

3 years ago

The amount of paint that David needs to cover a cube is directly proportional to the surface area. If David can completely cover

Inessa05 [86]

Answer:

The cube must be 21.125 feet long.

Step-by-step explanation:

David can completely cover a cube of side length equal to 2 feet, using 16 quarts of paint.

With this we make a conversion factor:

$\frac{2}{16}$ feet/quarts = 0.125 feet/quarts

This means that with each quart of paint you can paint a 0.125-foot long cube

We need to know how big is the length of a cube that can be covered with 169 quarts of paint

Then we use the conversion factor found earlier

$\169quarts * \frac{2pies}{16quarts} = 21.125 feet.$

The cube must be 21.125 feet long.

7 0

3 years ago