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1 year ago

This form will be sent to Lily by the end of January. She will use this W-2 form to...

Mathematics

1 answer:

yKpoI14uk [10]1 year ago

7 0

Answer:

D-FIle her income taxes

Step-by-step explanation:

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Points a, b, and c are midpoints of the sides of right triangle def. Which statements are true select three options. A B C D E

bagirrra123 [75]

Answer : The correct statements are,

AC = 5 cm

BA = 4 cm

The perimeter of triangle ABC is 12 cm.

Step-by-step explanation :

As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.

Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.

Using Pythagoras theorem in ΔACF :

$(AC)^2=(FA)^2+(CF)^2$

Now put all the values in the above expression, we get the value of side AC.

$(AC)^2=(3)^2+(4)^2$

$AC=\sqrt{(9)^2+(16)^2}$

$AC=5cm$

Using Pythagoras theorem in ΔDAB :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(BD)^2=(AD)^2+(BA)^2$

Now put all the values in the above expression, we get the value of side BA.

$(5)^2=(3)^2+(BA)^2$

$BA=\sqrt{(5)^2-(3)^2}$

$BA=4cm$

Using Pythagoras theorem in ΔBEC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(BE)^2=(CE)^2+(CB)^2$

Now put all the values in the above expression, we get the value of side CB.

$(5)^2=(4)^2+(CB)^2$

$CB=\sqrt{(5)^2-(4)^2}$

$CB=3cm$

Now we have to calculate the perimeter of ΔABC.

Perimeter of ΔABC = Side AB + Side CB+ Side AC

Perimeter of ΔABC = 4 + 3 + 5

Perimeter of ΔABC = 12 cm

Now we have to calculate the area of ΔABC.

Area of ΔABC = $\frac{1}{2}\times 4\times 3=6cm^2$

Now we have to calculate the area of ΔDEF.

Area of ΔDEF = $\frac{1}{2}\times 8\times 6=24cm^2$

Area of ΔABC = $\frac{6}{24}\times$ Area of ΔDEF

Area of ΔABC = $\frac{1}{4}$ Area of ΔDEF

8 0

2 years ago

Find the perimeter of the figure if a = 1, b = 4, c = 6, d = 5.

anygoal [31]

Answer:

Step-by-step explanation:

1+4+6+5

5 0

2 years ago

ABCD is a rectangular garden plot . P is a water tap find the distance from P to C

choli [55]

Answer:

PC = 40/7 = 5.714 m

Step-by-step explanation:

i) the solution can be found by using similarity of triangles.

ii) therefore we can see that $\frac{PC}{8} = \frac{5}{7}$

iii) therefore PC = 40 / 7 = 5.714 m

8 0

2 years ago

To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in squ

olya-2409 [2.1K]

To find the area of a space, you have to multiply length by width.

18 x 10 = 180

6 0

2 years ago

Read 2 more answers

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

7 0

2 years ago