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igomit [66]
3 years ago
11

Based on the given diagram, if mZ1 = 60°, then m 2 =

Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

m∠2 = 30°

Step-by-step explanation:

Lines AD and BF are perpendicular, so m∠BOD = 90°

m∠1 + m∠2 = 90

plug in given value:

60° + m∠2= 90°

m∠2 = 30°

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Your friend is supposed to meet you at the beach between 12pm and 1:30pm. If you arrive at 12:25pm and you do not see you friend
Alexus [3.1K]

The probability that you will have missed your friend is 27.78%

<h3>How to determine the probability?</h3>

The time of meeting is given as:

Time = 90 minutes (i.e 12pm and 1:30pm)

Your time of arrival is given as:

Arrival = 12:25pm

If you missed your friend, it means that your friend arrives earlier.

So, the time spent by your friend is:

Friend= 12:25 - 12 = 25 minutes

The probability that you will have missed your friend is:

P = 25 minutes/90 minutes

Evaluate

P = 27.78%

Hence, the probability that you will have missed your friend is 27.78%

Read more about probability at

brainly.com/question/251701

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5 0
2 years ago
50 POINTS + BRAINLIEST TO CORRECT ANSWER!! TRIG/GEO
WINSTONCH [101]

Option C:

We can find the value of PR using law of cosines.

Solution:

Given data:

∠Q = 18°, r = 9.5, p = 6.0

To find which length could be find in the triangle:

Law of cosines:

a^{2}=b^{2}+c^{2}-2 b c \cos A

Substitute a = q, b = r, c = p and A = Q

q^{2}=r^{2}+p^{2}-2 r p \cos Q

If we substitute the values given, we can find q.

q = PR

PR^{2}=r^{2}+p^{2}-2 r p \cos Q

Hence we can find the value of PR using law of cosines.

Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
irinina [24]

Answer:

The required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

5 0
3 years ago
What is 8 divided by 3/4s
d1i1m1o1n [39]
The answer is 10 2/3 because 3/4 equals .75. 8 divided by .75 equals 10 2/3
7 0
3 years ago
I am thinking of a number. If you multiply my number by four, add -4 to the product, and then take 1/3 of the sum, the result is
bogdanovich [222]

Answer:

x = - \frac{7}{2}

Step-by-step explanation:

x=unknown number

\frac{4x + ( - 4)}{3}  =  - 6

4x - 4 =  - 18

4x =  - 14

x =  \frac{ - 14}{4}

simplify the fraction so... -7/2

6 0
3 years ago
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