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PolarNik [594]
2 years ago
13

Find the value of x.

Mathematics
2 answers:
Alekssandra [29.7K]2 years ago
8 0

Answer:

x = 11

between two parallel lines the angle is 180°

<u>solve</u>:

→ 7x + 2° + 10x - 9° = 180°

→ 10x + 7x +2° - 9° = 180°       [ collect variables ]

→ 17x -7 = 180°                        [ simplify ]

→ 17x = 180° + 7°                     [ change sides ]

→ 17x = 187°                            [ divide both sides by 17 ]

→ x = 11

mylen [45]2 years ago
4 0

Answer:

d

Step-by-step explanation:

7x + 2 and 10x - 9 are same- side interior angles and sum to 180° , that is

7x + 2 + 10x - 9 = 180

17x - 7 = 180 ( add 7 to both sides )

17x = 187 ( divide both sides by 17 )

x = 11 → d

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A manufacturing process produces integrated circuit chips. Over the long run the fraction of bad chips produced by the process i
Vitek1552 [10]

Answer:

0.0244 (2.44%)

Step-by-step explanation:

defining the event T= the chips passes the tests , then

P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective  + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82

for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then

P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82=  0.0244 (2.44%)

where

P(D∩T)=probability that the chip is defective and passes the test

P(D/T)=probability that the chip is defective given that it passes the test

5 0
3 years ago
A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Chris chooses a marble at random, and without putting it back,
Ivahew [28]

Answer:

1/12

Step-by-step explanation:

3/9 for the first

2/8 for the second

3/9= 1/3

2/8= 1/4

1/4 x 1/3= 1/12

4 0
2 years ago
You have $3.70 in dimes and quarters. You have 5 more
anygoal [31]

Answer:

Step-by-step explanation:

10x + 25y = 370

y = x + 5

10x+25(x+5)=370

10x+25x+125=370

35x=370-125

x=245/35

x=7 which is the number of dimes

x+7= 7+5= 12 which is the number of quarters

So you have 12 quarters. That means you have 7 dimes.

8 0
2 years ago
Marcus bought he used 50% on tickets on rides and 1/4 of the tickets on video games and the rest of the tickets in the batting c
GalinKa [24]

Answer:

Therefore Marcus is incorrect.

Step-by-step explanation:

Total ticket that Marcus bought= 100%.

Marcus used 50% of ticket on rides.

and he used  \frac{1}{4} of the tickets on the video games.

The percentage form of any number x is

=100\times x \%

The percentage form of \frac{1}{4} is

=\frac{1\times  100}{4} \%

=25%

Therefore rest tickets are

=Total ticket-( ticket used in rides + ticket used in video games)

=100% - (50%+25%)

=100% - 75%

=25%

Therefore he used 25% of tickets in batting cage.

But he said that Marcus said that he used 24% of ticket in batting cage.

Therefore Marcus is incorrect.

8 0
3 years ago
a certain parallelogram has two pairs of parallel sides based on the following classifications is not correct
andreev551 [17]
A certain parallelogram has two pairs of parallel sides based on the following classifications is not correct Is Trapezoid
8 0
2 years ago
Read 2 more answers
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