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Vedmedyk [2.9K]
3 years ago
15

What is the value of x? Help me.

Mathematics
2 answers:
Sav [38]3 years ago
8 0

Answer:

x = 50

Step-by-step explanation:

The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.

2(x + 10) = 3x - 30

Distribute on the left side.

2x + 20 = 3x - 30

Subtract 2x from both sides.

20 = x - 30

Add 30 to both sides.

50 = x

x = 50

nikitadnepr [17]3 years ago
4 0

Answer:

x=50

Step-by-step explanation:

2x+20 = 3x-30

2x+50 = 3x

50 = x

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Please solve question above
Lana71 [14]

Answer

(f ο g)(2)= 1/17 =0.058  and (f+g)(2)= 17.5

Step-by-step explanation:

f(x)=1/x   ;   f(2)=1/2

g(x)=4x+9    ;    g(2)=4(2)+9

As,

1. (f ο g)(x)=f(g(x))     (Composite Function)

(f ο g)(2)=f(g(2))=f(4(2)+9)=f(8+9)=f(17)=1/17

                                             =0.058 (in decimal)

2. (f+g)(x)= f(x)+g(x) (Sum of Functions)

(f+g)(2)=f(2)+g(2)=1/2 +(4(2)+9)=1/2+(8+9)=1/2+17 (taking L.C.M)

                                                    =[1+17(2)]/2=(1+34)/2=35/2

                                                    =17.5 (in decimal)

8 0
4 years ago
8.)What is the Measurement of angle 2?<br><br> 9.) What is the measure of angle 7?
EastWind [94]

Answer:

angle 2 = 90° {corresponding angles}

angle 7 + angle 5 = 180° {linear pair}

or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}

so, angle 7 = 80°

8 0
2 years ago
A 6-foot piece of ribbon costs $15.84. What is the price per inch?
sleet_krkn [62]

Answer:

$0.22/inch

Step-by-step explanation:

6 ft = 72 inches

15.84/72 =0.22

6 0
4 years ago
Read 2 more answers
Solve the problem. A musician plans to perform 8 selections. In how many ways can she arrange the musical selections?
raketka [301]

Answer:

40,320

Step-by-step explanation:

The number of ways she can arrange the musical seletions is as follows

n! ( where n is given as 8) = 8! = 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1 = 40,320

7 0
4 years ago
Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews
Andrej [43]

Answer: The required probability is 0.615.

Step-by-step explanation:

Let A be the event that a product receives good reviews.

Let E₁ be the event that the product is highly successful.

Let E₂ be the event that the product is moderately successful.

Let E₃ be the event that the product is poor.

P(E_1)=0.40\\\\P(E_2)=0.35\\\\P(E_3)=0.25\\\\P(A|E_1)=0.95\\\\P(A|E_2)=0.60\\\\P(A|E_3)=0.10

(a) What is the probability that a product attains a good review.

So, it becomes,

P(A)=P(E_1)P(A|E_1)+P(E_2)P(A|E_2)+P(E_3)P(A|E_3)\\\\P(A)=0.4\times 0.95+0.0.35\times 0.6+0.25\times 0.1\\\\P(A)=0.615

Hence, the required probability is 0.615.

4 0
3 years ago
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