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Setler [38]
3 years ago
5

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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a bowler knocks down at least 6 pins 70 percent of the time. out of 200 rolls, how many times can you predict the bowler will kn
Nitella [24]

Multiply 200 rolls by 70%

200 *0.70 = 140

The bowler should knock at least 6 pins down 140 rolls

8 0
3 years ago
An equation whose variables are polar coordinates is called a ____________
Murljashka [212]
An equation whose variables are polar coordinates is called a polar equation. These equation are characterized by an r as a function an angle. Polar equations can be written in rectangular coordinates by certain relationships. An example of a polar equation would be r = 2sin∅.
4 0
3 years ago
Read 2 more answers
If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200
12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

1000x = 200

x = \frac{200}{1000}

x = 0.2mg

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

x = 60*0.2

x = 12mg

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

123x = 250*12

x = \frac{250*12}{123}

x = 24.39mL

24.39mL of the solution would be given per hour.

7 0
3 years ago
The time is took Tayna to complete different sets of math problems varied directly with the number of problems in the set Tayna'
Vsevolod [243]

Answer:

C

Step-by-step explanation:

time is directly proportional to the number of problems in the set

=> x = ky

k = constant of proportionality

when k = 12

x = 12y

by making y the subject, we divide both sides by 12

=> y = x/12

3 0
3 years ago
Pls helpeddddddddddddddd
Dmitrij [34]

Answer:

B

Step-by-step explanation:

Remark

The easiest way to do this is to Substitute for y in the top equation.

2x + 4y = 18                         Divide by 2

2x/2 + 4y/2 = 18/2

x + 2y = 9

Substitute -3x + 2 in for y in the equation above

x + 2(-3x + 2) = 9

x - 6x + 4 = 9                    

Combine like terms on the left

-5x + 4 = 9                      

Subtract 4 from both sides.

-5x + 4-4 = 9- 4

-5x = 5

Divide by -5

-5x/-5 = 5/-5

x = - 1

That makes A and C incorrect.

y = -3x + 2

y = -3(-1) + 2

y = 3 + 2

y = 5

The correct answer should be (-1,5) which is B

7 0
2 years ago
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