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Slav-nsk [51]
3 years ago
10

In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0
Look it up on google
irina [24]3 years ago
5 0

Answer:

pythagorean theorem - The length of the hypotenuse squared will always equal the sum of A squared and B sqaured. The equation is A^2 + B^2 = C^2.

Step-by-step explanation:

For Example

A = 4      A^2 = 16

B = 2      B^2 = 4

C = ?      C^2 = ?

16 + 4 = 20

\sqrt{20} ≈ 4.5

C/Hypotenuse = 4.5

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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
On the first day of ticket sales the school sold 1 senior citizen ticket and 5 child tickets for a total of $60. The school took
Stells [14]

Answer:

Step-by-step explanation:

Let's start off with the first equation

5x + y = 60

We need to find what X and Y are.

Let's try subtracting a few numbers from 60.

Let's do 60 - 55 = 5

11x5 = 55

11 = Children Ticket Cost

5 = Seniors Ticket Cost

Without them being the same price!

So using the numbers we found, we can now solve the second one

14x5 = 70

11x11 = 121

70 + 121 = 191

There we go!

Hope this helped! Please give brainiest if you can :)

3 0
3 years ago
Read 2 more answers
4. 4c - 3 (c = -2)<br><br><br> will give 5 stars
Flauer [41]
4(-2)-3 = -8-3 = -11
Answer: -11
4 0
3 years ago
You have an equation y=x+7. Is the ordered pair (1,6) a solution? Yes or no?
vaieri [72.5K]
Answer:
no

step-by-step explanation:
y=x+7
x is the slope of 1
7 is the y-intercept
because 7 is the y-intercept and the slope is positive it never touches (1,6)
8 0
3 years ago
All of the students in sixth grade either purchased their lunch or brought their lunch from home on Monday.
Nat2105 [25]

Answer:

250

Step-by-step explanation:

1. 190 students is the number that is 100-24 = 76% of the 6th grade population

0.76x = 190

x = (190/.76) = <u>250</u>

4 0
3 years ago
Read 2 more answers
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