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Alexandra [31]
2 years ago
13

If angle P measures 60 degrees , what is the measure of angle c?

Mathematics
1 answer:
Mashutka [201]2 years ago
5 0

Answer:

120 degrees

Step-by-step explanation:

Hope this helped, Have a Great Day!!

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Twin​ brothers, person A and person​ B, can mow their​ grandparent's lawn together in 40 minutes. Person A could mow the lawn by
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3 years ago
Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can
GalinKa [24]

Answer:

  1. 1 1/14 seconds
  2. 4 2/7 seconds

Step-by-step explanation:

We are being asked for times, so we can express the rate in terms of seconds per meter.

  (15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter

__

1) It will take Robot A 1 1/14 seconds to go 1 meter.

2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)

5 0
2 years ago
A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

P = a person passes the security system

H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0
2 years ago
What is the solution to the system of equations?<br> y = -5x + 3<br> y = 1
Gekata [30.6K]

9514 1404 393

Answer:

  (x, y) = (2/5, 1)

Step-by-step explanation:

Substitute for y and solve for x.

  1 = -5x +3

  -2 = -5x . . . . . . subtract 3

  2/5 = x . . . . . . divide by -5

The solution is (x, y) = (2/5, 1).

4 0
2 years ago
If two congruent angles form a linear pair, then they are _____.
LenaWriter [7]
C hope this helps you alot
5 0
3 years ago
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