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saw5 [17]
4 years ago
9

NOTE: I FINISHED THE FIRST PART, I JUS NEED HELP W THE SECOND PART BELOW!!!

Mathematics
1 answer:
bagirrra123 [75]4 years ago
4 0

Answer:

  see below

Step-by-step explanation:

<em>Which of the equations from part A represent adding two rational numbers?</em>

  Equations A, C, E

<em>What hypothesis can you make about the sum of two rational numbers?</em>

  The sum of two rationals will always be rational

<em>Will the addition result in a rational or an irrational number?</em>

  Our hypothesis is that the result is always rational. This can be justified by the fact that the sum of two rationals a/b + c/d, where a, b, c, d are integers and bd≠0, is (ad+bc)/(bd), a rational, based on closure of integers for multiplication and addition.

<em>Which equations represent the sum of a rational and an irrational number?</em>

  Equations B, F

<em>What hypothesis can you make about the sum of an irrational and a rational number?</em>

  The sum of a rational and irrational number is always irrational.

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70 points!
astra-53 [7]

y = 4.5x

Explanation:

9 ÷ 2 = 4.5

18 ÷ 4 = 4.5

27 ÷ 6 = 4.5

3 0
3 years ago
Help plz ill give extra points
UkoKoshka [18]

Answer:

79 degrees

Step-by-step explanation:

PQU is a straight line, so \angle PQU = 180^\circ. This is also the sum of the four smaller angles. We can subtract 34+37+30 from 180 to get that \angle SQT = 79^\circ

(if right pls give brainliest :) )

5 0
3 years ago
PLEASE HELP WILL MARK BRSINLIEST!!!!!
Lina20 [59]

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.

<h3><u>Part (b)</u></h3>

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

  • a = 7
  • b = 8
  • c = 9

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is <u>not</u> a right triangle.

8 0
3 years ago
Yolanda finished 3/4of 10 1/2mile race how many mile sdid she complete
Mila [183]

Answer:

She completed 7.5 3/8 miles of the race.

Step-by-step explanation:

This can be solved with multiplication.

10 * 3/4 = 7.5

1/2 * 3/4 = 1 * 3/2 * 4 = 3/8

7 0
4 years ago
A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
gulaghasi [49]

Answer:

a) 40 sides

b) 6840

c) 9 gegrees

Step-by-step explanation:

interior angle= (<u>n</u><u>-</u><u>2</u><u>)</u><u>1</u><u>8</u><u>0</u>

n

(n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\

so total number of sides is 40

b) Sum of interior angles= (n-2)×180

(40-2)×180

38×180

6840

c) Exterior angle = 360 ÷ n

360÷40 =9 degree

7 0
3 years ago
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