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2 years ago

16. Find the length of the median CD.

Mathematics

1 answer:

hodyreva [135]2 years ago

7 0

Step-by-step explanation:

16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)

C (2,-3) D (6,3)

CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)

CD = sqaureroot of ( 16 + 36)

CD = sqaureroot of 52 = 2 root 13 = length

17. E (5, - 1) because the point is under the x axis.

Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)

B (8,1) C (2, - 3)

Midpoint of BC = ((2+8)/2 , (-3+1)/2)

= (10/2 , - 2/2)

= (5, - 1)

18. Length of AE

A (4,5) E(5,-1)

Square root of ((5-4)^2 + (-1-5)^2)

Square root of (1^2 + - 6^2)

Square root of ( 1 + 36)

Square root of 37 = root 37

Please gimme brainliest

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BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, $m\angle2=\frac{4}{3}x^\circ$ , m∠3 = 20°

Exterior angle theorem:

In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.

By this theorem,

m∠4 = m∠2 + m∠3

$$2x^\circ=\frac{4}{3}x^\circ+20^\circ$

Subtract $\frac{4}{3}x^\circ$ on both sides of the equation.

$$2x^\circ-\frac{4}{3}x^\circ=20^\circ$

To make the denominator same and then subtract.

$$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ$

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Multiply by $\frac{3}{2}$ on both sides of the equation.

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x = 30

Hence option C is the correct answer.

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How much tomato juice is needed for a group of four people if each person gets 1/3 cup of juice how much tomato juice is needed

Ivanshal [37]

Answer:

$1\frac{1}{4} \ cups \ of \ juice$ , $2\frac{2}{3}\ cups \ of \ juice$

Step-by-step explanation:

Given:

Number of people in a group = 4

Each person gets cup of juice = $\frac{1}{3}$

Question asked:

How much tomato juice is needed for a group of four people ?

How much tomato juice is needed if they each get 2/3 cup of juice ?

Solution:

Unitary method:

In case of each person gets $\frac{1}{3}$ up of juice.

1 person gets cup of juice = $\frac{1}{3}$

4 persons gets cup of juice = $\frac{1}{3} \times4=\frac{4}{3} =1\frac{1}{3} \ cup \ of\ juice$

Therefore, $1\frac{1}{4} \ cups \ of \ juice$ is needed for a group of four people.

In case of each person gets $\frac{2}{3}$ cup of juice.

1 person gets cup of juice = $\frac{2}{3}$

4 persons gets cup of juice = $\frac{2}{3}\times4=\frac{8}{3} =2\frac{2}{3} \ cups\ of \ juice$

Thus, $2\frac{2}{3}$ cups of tomato juice is needed if they each get $\frac{2}{3}$ cup of juice.

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