All categories

2 years ago

What is the length of XY

Mathematics

1 answer:

arsen [322]2 years ago

4 0

Answer:

Step-by-step explanation:

We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:

5x + 8 = 9x + 12

Minus 8 on both sides

5x = 9x + 4

-4 = 4x

x = -1

Now substitute both sides of the equation with -1 instead of x

-5 + 8 = -9x + 12

3 = 3

XY = MY + XM

XY = 3 + 3 = 6

Hope this helps :)

Have an awesome day!

You might be interested in

Solve for x -3(2x-5)=10x⁺6

expeople1 [14]

Answer:

Step-by-step explanation:

distribute first- -6x+15=10x+6

combine like terms- 9=16x

divide- x=.56

6 0

3 years ago

a police officer had a taxable income of 47,050 last year. if she paid 10% of her income between 0 and 8350, 15% of her income b

finlep [7]

A police officer paid 10% of her income between 0 and 8,350: 0.10*8350=$835
A police officer paid 15% of her income between 8350 and 33,950: 33,950-8,350=25,600⇒0.15*25,600=$3,840
A police officer paid 25% of her income between 33,950 and 47,050: 47,050-33,950=13,100⇒0.25*13,100=$3,275

$835+$3,840+$3,275=$7,950

The policy officer paid $7,950 in federal income tax.

3 0

3 years ago

Read 2 more answers

A pole 24 feet high has a shadow 8 feet long.a nearby pole is 72 feet high. how long is it's shadow?

Dmitry [639]

The answer is 24. If you cross multiply witht he eight over top of the twenty-four, and the x (unknown length of shadow) over seventy-two and cross multiply (8 times 72, x times 24) then get 576 = 24x and divide twenty four on both sides, then that should give you the correct answer.

3 0

3 years ago

ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?

Allushta [10]

The triangle is drawn and is shown in the image attached with.

We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.

D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:

AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units

So,

$4 :x = 8 : 6 \\ \\ 
 \frac{4}{x} = \frac{8}{6} \\ \\ 
x=4* \frac{6}{8}=3 
$

Therefore, the length of DE will be 3 units

6 0

3 years ago

Each bag of potatoes weighs 5 3/4 pounds.How many pounds would 2 1/2 bags of potatoes weigh?

olga2289 [7]

14 3/8 pounds because 5 3/4 * 2 1/2 = 14 3/8

7 0

4 years ago