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antoniya [11.8K]
2 years ago
10

The following figures are not drawn to scale but AB and CD are straight lines. Find x.

Mathematics
2 answers:
leonid [27]2 years ago
7 0
Answer:

x = 30

Step-by-step explanation:

2x + 90° + x = 180°

3x + 90° = 180°

3x = 90°

x = 90/3

x = 30
PSYCHO15rus [73]2 years ago
4 0

Answer:

30

Step-by-step explanation:

90° + x + x+ x = 180  {Straight line angles}

90 + 3x = 180

Subtract 90from both sides

3x = 180- 90

3x = 90

Divide both sides by 3

x = 90/3

x = 30

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It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, h
elena-14-01-66 [18.8K]

Answer:

Time machine one = 3.56

Time machine two = 4.56

Step-by-step explanation:

Let machine 2 do the job in x hours

Let machine 1 do the job in x - 1 hours.

The general formula for this problem is

Time = A*B/(A + B)

Givens

Time = 2 hours

B = x hours alone

A = x - 1 hours alone.

#################

x *( x - 1)

======= = 2

(x + x - 1)

(x^2 - x)/(2x - 1) = 2

x^2 - x = 2(2x - 1)

x^2 - x = 4x - 2

x^2 - 5x + 2 = 0

a = 1

b = - 5

c = 2

This gives 2 roots

x = 4.56

x = 0.43

The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.

Time for machine 2 is 4.56

The time for machine 1 is 3.56

Check

(A * B)/(A + B) = 2

A = 4.56

B = 3.56

Time = 4.56*3.56/(4.56 + 3.56)

Time = 16.2336/(8.12)

Time = 1.9992

The rounding error in the check comes from the rounding error in the times.  

4 0
3 years ago
In a recent census, the population of a country was 7,946,700.
choli [55]

Answer:

7.9467 x 10^6

Step-by-step explanation:

3 0
2 years ago
Which is true about rigid transformations and circles?
mart [117]
D) i am pretty sure about that
7 0
3 years ago
Read 2 more answers
Given △RST≅△LMN, m∠R=65°, and m∠M=70°, what is the measure of ∠T?
sergey [27]
<T = 45°

Hope this helps!! :)
5 0
3 years ago
Read 2 more answers
Sweatshirt = $32 t-shirts = $14 ,
rodikova [14]
Cost of a sweatshirt = $32
Then
Cost of 14 sweatshirts = (32 * 14) dollars
                                     = 448 dollars
Cost of a t-shirt = $14
Cost of 32 t-shirts = (32 * 14) dollars
                               = 448 dollars
So it can seen from the deduction that the cost of 14 sweatshirts and 32 t-shirts comes out to be same and equal to $448. I hope the answer and the procedure of doing this problem is clear to you. It is important to look at all the details given in the question and then start solving the problem.
4 0
3 years ago
Read 2 more answers
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