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zvonat [6]
1 year ago
9

Angle sum theory find Y

Mathematics
1 answer:
kompoz [17]1 year ago
4 0
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

  • Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

  • 115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

  • Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

  • 90 + 65 + y = 180

Combine like terms

  • 155 + y = 180

Subtract 155 from both sides

  • y = 25

This means that the angle y is 25 degrees.

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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715

Probability:

p = \frac{D}{T} = \frac{1}{715} = 0.0014

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0
3 years ago
Reduce in standard form -3/-15. on rational no grade 8 with step by step solution ​
sashaice [31]

Answer:

i'm not too good in this, but i believe the answer is -3

Step-by-step explanation:

the hcf, highest common factor, of both -3 and -15 is -3, hence making the answer -3? if this is incorrect, i apologize.

3 0
1 year ago
3) (7,5), (9,-4)<br> A) (-1, 4.5)<br> G) (6, 2.5)<br> B) (11.-13)<br> D) (8,0.5)
Mnenie [13.5K]

Answer:

Step-by-step explanation:  474747-4747474-

6 0
2 years ago
The table shows the temperature of ocean water in degrees Celsius at different depths in meters: Depth (meters) 0 500 1,000 1,50
NARA [144]

You can use the fact that the corresponding values from both the columns are taken into ordered pair (x,y) form to plot them on the 2d graphs (for 2 data values' set)

The scatter plot best representing the data in the table is given by

Option D:   Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

<h3>How are ordered pairs formed for plotting 2d data?</h3>

There are two axis in the graph. Horizontal axis and vertical axis. The independent variable is plotted on horizontal axis and dependent variable's values are plotted on vertical axis.

Since the temperature is measured on each value of depth, thus, depth is independent and temperature is depending on the depth.

The data points are ordered as

(independent variables' value, dependent variables' value at that value of independent variable)

Thus, for the given table, we will have:

(0, 23.5), (500, 12), ... points.(it is denoting like what was the value of second variable when first variable was this. Like when depth was 0, temperature was 23.5 degrees Celsius, and so on).

Thus,

The scatter plot best representing the data in the table is given by

Option D:   Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

Learn more about scatter plot here:

brainly.com/question/10578193

3 0
2 years ago
Pls help I’m failing
jeka94

The equation <u>6 + 9a = 51</u> can help find out how many adults were in the group.

4 0
2 years ago
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