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3 years ago

Find the value of x a. 6 b. 12 c. 4 d. 10

Mathematics

1 answer:

Ede4ka [16]3 years ago

5 0

Answer:

$x=4$

Step-by-step explanation:

Midpoint Theorem: The line joining the midpoints of two sides of the triangle is half of the length of the third side and parallel to it.

From the given figure we can see that BE is the line segment joining midpoints of two sides of the triangle. This means that

$BE=\frac{1}{2} CD$ [ By midpoint theorem]

Substituting values of the lengths of BE and CD

$x+2=\frac{1}{2}\times 12$

Simplifying and solving for x.

$x+2=6$

Subtracting both sides by 2

$x+2-2=6-2$

$x=4$

∴ $x=4$

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21. In the figure given below, AC is parallel to DE. Find the valuesof xy and z and hence find the 2DBE.

algol13

Answer:

X= 50°

Y= 70°

Z= 30°

BDE= 30°

2BDE= 60°

Step-by-step explanation:

(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)

2x -70 = BDE... alternate angles

Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)

X-20 = z ... alternate and opposite angles

(2x -70 )+z+(2x-+20)=180

2x-70 + x-20 +2x +20= 180

5x -70= 180

5x = 250

X= 50°

X-20 = z

50-20= z

30° = z

2x -70 = BDE

2(50) -70 = BDE

100-70 = BDE

30°= BDE

Y + (2x-70)+(50+x-20)

Y + 100-70 +50 +50 -20 = 180

Y + 200-90=180

Y= 70°

2BDE = 2*30

2BDE= 60°

8 0

3 years ago

125.7-1.82 plzz include steps

Talja [164]

You just subtract it 125 - 1.82 and it gives you 123.88. i dont know how else to explain

4 0

3 years ago

Adult men have heights that a normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. Adult wome

Aliun [14]

Answer:

Step-by-step explanation:

From the information given:

For Adult Men

Mean $\mu$ = 69.5

Standard deviation $\sigma$ = 2.4

observed value X = 74

For Adult Women

Mean $\mu$ = 63.8

Standard deviation $\sigma$ = 2.6

observed value X = 70

Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex

For Adult Men :

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{74- 69.5}{2.4}$

$z = \dfrac{4.5}{2.4}$

z = 1.875

For Adult Women :

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{70- 63.8}{2.6}$

$z = \dfrac{6.2}{2.6}$

z = 2.3846

Thus; we can conclude that , the women is more unusually tall within his or her respective sex

5 0

3 years ago

10 POINTS

podryga [215]

Take the length of the larger divide it by the smaller

5/2 = 2.5

6 0

3 years ago

Read 2 more answers

What is the midpoint of the line segment with endpoints (-1,3) and (-5,5)?

andrew11 [14]

Answer:

(4, 5)

Step-by-step explanation:

Calculate the midpoint using the midpoint formula

midpoint = [( + ), ( + ) ]

with (, ) = (1, 2) and (, ) = (7, 8)

midpoint = [(1 + 7), (2 + 8) ]

= (4, 5)

6 0

3 years ago