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bixtya [17]
2 years ago
14

Please help

Mathematics
1 answer:
jeyben [28]2 years ago
4 0

Answer:

i love math 21

Step-by-step explanation:

hehe

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Given the line a and b are parallel angles 1 and5 are congruent because they are
kakasveta [241]

Answer:

Step-by-step explanation:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles.

figure51

Vertical angles are always congruent, which means that they are equal.

Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap.

figure52

The size of the angle xzy in the picture above is the sum of the angles A and B.

Two angles are said to be complementary when the sum of the two angles is 90°.

figure53

Two angles are said to be supplementary when the sum of the two angles is 180°.

figure54

If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal

When a transversal intersects with two parallel lines eight angles are produced.

figure55

The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

Example

figure56

The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65°?

6 and 8 are vertical angles and are thus congruent which means angle 8 is also 65°.

6 and 2 are corresponding angles and are thus congruent which means angle 2 is 65°.

6 and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°.

4 0
3 years ago
90 Points. PLEASE HELPPP!!! ILL SELECT BRAINLIESST
forsale [732]

Answer:

Step-by-step explanation:

A)

these are the intervals of people who are at least adults and are mature enough to take the survey seriously and answer correctly.

B)

You can say with 95 percent certain of the real mean of the population, but you acknowledge that due to difficulties such as, sampling error, real-life problems such as bad weather, bad vision of the surveyed, not knowing the language and due to bad wording, your answers are unsure is the range  of 8 percent due the fluctuation of data caused by bad circumstances.

C)

I believe there should be a quota of 50 to 50 percent to make the data the most equal, though I understand that there may not be an equal distribution of land and cell lines among the U.S. mature populace.

D)

(Since I don't have the data, I can't answer part 4)

6 0
3 years ago
The difference of the product of 3 and m<br> minus the quotient of m divided by 2<br> m=6
s2008m [1.1K]

Answer:5m/2

Step-by-step explanation:

3m-m/2

(2×3m-1×m)/2

(6m-m)/2=5m/2

5 0
3 years ago
How can undefinable terms be used to create precise mathematical definitions?
chubhunter [2.5K]

Answer:

This is done by stating descriptions of these terms.

Step-by-step explanation:

Undefinable terms are terms with no formal definitions. Formal definitions are obtained when specific words are used to define a term. In mathematics, specifically, Geometry words like line, point, and plane have no definite definition, So descriptions are used to identify them.

For example, in describing a point, we note that a point has no dimensions, it is usually denoted with a capital letter, and it indicates a position. Also in a coordinate plane, it is denoted with descriptions such as  (u,v). Corresponding descriptions are given of other undefinable terms.

6 0
3 years ago
The mean number of hours of study time per week for a sample of 562 students is 23. If the margin of error for the population me
Vadim26 [7]

Answer:

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

Step-by-step explanation:

Confidence interval:

Sample mean plus/minus the margin of error.

In this question:

Mean of 23.

Margin of error 2.1.

Then

23 - 2.1 = 20.9

23 + 2.1 = 25.1

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

3 0
2 years ago
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