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Maru [420]
2 years ago
9

Using the theorems and given information, which of the following proves a∥b?

Mathematics
1 answer:
maria [59]2 years ago
5 0

Answer:

m∠3=12(8)+24=120

m∠5=10(8)+40=120

m∠3=m∠5,∠3=∠5

<u>OAmalOHopeO</u>

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The measure of an angle is 166°. What is the measure of its supplementary angle?
Darina [25.2K]

Answer:

14 degrees

Step-by-step explanation:

Supplumentry angles add up to 180 degrees.

180 - 166 = 14 degrees

5 0
3 years ago
GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0
3 years ago
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks d
tester [92]
The first step because 1 dollar and 60 cents is not (1.6)= 2 dollars and 5 cents
5 0
3 years ago
9 x 10 to the power of 2 how many times as much as 3 x 10 to the -2 power
hjlf

Answer:

  3×10^4

Step-by-step explanation:

The desired factor is found by calculating the ratio of the two numbers:

  k = (9×10^2)/(3×10^-2) = (9/3)×10^(2 -(-2)) = 3×10^4

The first number is 3×10^4 = 30,000 times as much as the second number.

6 0
2 years ago
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
Shkiper50 [21]
Hello :
f(x) = 4(x2 − 6x + 3² - 3²____) + 20 = 4((x2 − 6x + 3²) - 3²____) + 20<span>
      = 4(x-3)² -36+20
</span>f(x) = 4(x-3)² -16 (vertex form)

6 0
2 years ago
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