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3 years ago

ABCD is a trapezium with AB parallel to CD. Find the value of x and the value of y.

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

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PLEASEE HELP I NEED IT its about due

kherson [118]

Answer:

∠GJK is 22°

Step-by-step explanation:

Because the shape is a rectangle we know that GH is parallel to JI

This means that because of the alternate angle rule we know that

5x+8 = 7x-16

Then we solve for x

5x+8-5x = 7x-16-5x

8+16=2x-16+16

$\frac{24}{2}$ = $\frac{2x}{2}$

x=16

So this means that ∠HJI is 68°

Because the shape is a rectangle we know that ∠GJI is a right angle

This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule

90-68 =22

∴∠GJK is 22°

4 0

2 years ago

One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? To the nearest hundredth? Show your

Leokris [45]

Answer:

3.8 ; 3.79 ; 3

Step-by-step explanation:

Given that:

1 gallon is equal to about 3.785 litres

3.785 to the nearest tenth :

Tenth digit = 7 ; round up 8 to 1 and add to 7

Hence,

3.785 = 3.8 (nearest tenth)

3.785 to the nearest hundredth :

Hundredth digit = 8 ; round up next digit 5 to 1 and add to 8

3.785 = 3.79 ( nearest hundredth)

What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?

The greatest Number of whole liters of water that could be poured into a 1 gallon container without it overflowing is 3 liters because, rounding up 3.785 to the nearest integer of 4 means we will exceed the maximum litres by about 0.215 gallons and hence, cause the container to overflow.

3 0

2 years ago

Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters = 71 and 2 = 6:25. What per

Alexus [3.1K]

Answer:

2.28%

Step-by-step explanation:

given that the height, in inches, of a 25-year-old man is a normal random variable with parameters = 71 and variance = 6:25.

If X is the height of 25 year old man then X is N(71, 2.5)

a) Probability of men in the 6-footer club are over 6 feet, 5 inches

= $P(X>6'5")\\=P(X>77")\\= P(Z>\frac{77-72}{2.5} \\=P(X>2)$

= 0.0228

percentage of men in the 6-footer club are over 6 feet, 5 inches

100 times prob

=2.28%

2.28% of men in the 6-footer club are over 6 feet, 5 inches willbe taller than 6 feet and 5 inches

5 0

3 years ago

A hurricane has winds that are at least 74 miles per hour. Suppose a tropical storm Hamm has winds that are 42 miles per hour. W

Veronika [31]

42 + x > 74
_

x = 32

Hope this helps!

3 0

2 years ago

Factorise <img src="https://tex.z-dn.net/?f=2t%5E2%2B5t%2B2" id="TexFormula1" title="2t^2+5t+2" alt="2t^2+5t+2" align="absmiddle

blondinia [14]

Answer: $\displaystyle\ \large \boldsymbol{ 2t^2+5t+2= {(2t+1) (t+2)}}$

Step-by-step explanation:

$\displaystyle\ \large \boldsymbol{} 2t^2+5t+2=0 \\\\2t^2+\underbrace{4t+t}_{5t}+2=0 \\\\ (2t^2+4t)+(t+2)=0 \\\\ 2t(\underline{t+2})+(\underline{t+2})=0 \\\\ \boxed{(2t+1) (t+2)=0 }$

3 0

2 years ago