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PIT_PIT [208]
3 years ago
8

HELP!!!!! Question in picture!!!!

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

x = 29

Step-by-step explanation:

We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:

6x + 6 = 180°

Subtract 6 from both sides:

6x = 174°

Divide by 6:

x = 29

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Two jets leave an air base at the same time and travel in opposite directions. One jet travels 94 mi/h slower than the other. If
maw [93]

Answer:

1478 mi/h  

Step-by-step explanation:

The rate of change is the distance divided by the time.

\text{Rate of change} = \dfrac{\text{distance}}{\text{time}} = \dfrac{\text{2956 mi}}{\text{2 h}} = \textbf{1478 mi/h}

4 0
3 years ago
Show how to use the distributive property to simplify 4(5+x)
nalin [4]

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

7 0
3 years ago
Read 2 more answers
Car A, traveling at a constant 10 m/s, crosses the start line 3 seconds before Car B, who is traveling at a constant 15 m/s. At
Margaret [11]
The distance between Car A and car B,When Car A crosses the start line is:
distance =speed car B* time
distance=(15 m/s)(3 s)=45 m
 
Distance traveled by car A =x,  (when the car B is at the same distance from the start line)
time of car A=t

x=10 m/st  ⇒    x=10t    (1)

Distance traveled by car B=x
time of car B=t-3

x=15(t-3)  (2)

With the equations (1) and (2) we make a system of equations:

x=10t
x=15(t-3)

We solve this system of equations:

10t=15(t-3)
10t=15t-45
-5t=-45
t=-45 / -5
t=9

t-3=9-3=6

x=10 t=10 (9)=90

Answer: The time would be 9 seconds for Car A and 6 seconds for car B and the distance would be 90 meters.
8 0
3 years ago
A plumber charges an initial fee of $60 and $15 per hour. Write an equation that represents how much the plumber charges, y, if
34kurt

Answer:

Y=15x+60

Step-by-step explanation:

6 0
2 years ago
A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one
salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = \frac{2}{3}

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = \frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is x. Then that of 3 is 2x(because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=\frac{1}{7}

P(odd number) = 3\timesProb(1) + Prob(3)

= 3\times\frac{1}{7}+\frac{2}{7} = \frac{5}{7}

7 0
3 years ago
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