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Iteru [2.4K]
3 years ago
8

The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,
 
                x + 14x = 180°

The value of x from the equation is 12. Hence, the angles are,
       
              x = 12
            14(12) = 168

Answer: 12° and 168°
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There are two traffic lights on Broadway. The probability of being stopped at the first light is
kiruha [24]

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.

6 0
3 years ago
Please help I’m stuck on this question
Vlada [557]

Answer:

1.09×10^2

Step-by-step explanation:

................

6 0
2 years ago
Is this answer right
ehidna [41]

Answer: No the real answer is 35.10585

Step-by-step explanation:

3 0
2 years ago
Suppose that the functions p and q are defined as follows.p(x) = -2x + 1q(x)=-x?Find the following.
MariettaO [177]

First let us find

(q\mathrm{}p)(x)\begin{gathered} q(p(x))=q(-2x+1) \\ =-(-2x+1)^2 \\ So\text{ } \\ (q\mathrm{}p)(5)=-(-2\times5+1)^2 \\ =-(9)^2 \\ =-81 \end{gathered}

Now let;s solve the second part

\begin{gathered} (p\mathrm{}q)(x)=p(q(x)) \\ =p(-x^2) \\ =-2(-x^2)+1 \\ =2x^2+1 \\ So\text{ (p.q)(5) will be } \\ (p\mathrm{}q)(5)=2(5)^2+1 \\ =51 \end{gathered}

6 0
1 year ago
What is the value of 2c + d² - 3e + 4f when c = 3, d = 5, e = 6, and f = 1?
Andrej [43]

Answer:

17

Step-by-step explanation:

2c + d^3 - 3e +4f

=2(3) + (5^2) - 3(6) + 4(1)

=6+25-18+4

=17

5 0
3 years ago
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