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Slav-nsk [51]
3 years ago
14

Solve for X Could you show me what steps to do that leads to the answer​

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0

Answer:

x = 76

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

152° is an exterior angle of the triangle , then

x + x = 152

2x = 152 ( divide both sides by 2 )

x = 76

Bezzdna [24]3 years ago
7 0

Answer:

x+x=152° (sum of two opposite interior angles is equal to exterior angle)

2x=152°

x=76 °

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What is the probability a day in the 70s is a Monday?
Degger [83]

Answer:

a) Probability of a day with temperature in the 70s = 0%

b) The set of the intersection of Tuesdays and days with temperature in the 80s is an empty or null set.

c) Probability an observation picked at random is both a Sunday and more than 90 degrees

= 0.10 = 10%

Step-by-step explanation:

The table of data for this question was obtained online and attached to this solution

Note that the probability of an event is defined as the number of elements in that event divided by the Total number of elements in the sample space.

a) What is the probability a day in the 70s is a Monday?

Of the days with temperature in the 70s (only one day, which is a Sunday), none of them are Mondays, hence, the probability of a day with temperature in the 70s being a Monday is 0%.

b) Which set forms the intersection of Tuesdays in the 80s?

Acvording to the data available, the set of Tuesdays with temperatures in the 80s is an empty set. Hence, this set is a null set.

c) What is the probability an observation picked at random is both a Sunday and more than 90 degrees?

The number of Sundays with temperature more than 90 degrees = 3

The total number of observations available = 30

Probability an observation picked at random is both a Sunday and more than 90 degrees = (3/30) = 0.10 = 10%

Hope this Helps!!!

7 0
3 years ago
If A = {a, b, c, d} and B = {b, c, e, f}, A U B is which set?
meriva

Answer:

Step-by-step explanation:

second option is correct  

3 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (0, 7).
patriot [66]

Answer:

A. y = -\frac{4}{5}x + 7

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y-intercept

<em>It gives us the slope, so we can plug that in:</em> y = -\frac{4}{5}x + b

<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>

y = -\frac{4}{5}x + b

7 =  -\frac{4}{5}(0) + b

7 = b

<em>Last, complete our equation:</em>

y = -\frac{4}{5}x + b

y = -\frac{4}{5}x + 7

4 0
2 years ago
A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the
Vikki [24]
<h2>Answer:</h2>

The method suggested by Bobby is better than Allie.

<h2>Step-by-step explanation:</h2>

A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.

Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.

Whereas, Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. This method is a fair method.

The method suggested by Bobby is better than Allie as every student will get an equal chance to perform and also has an equal chance to win and get a high sum.

8 0
3 years ago
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What is the measures of angle ECD? Please show work.
bazaltina [42]

The anser is 40

the resense is verticle angle are congrounent.

6 0
3 years ago
Read 2 more answers
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