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3 years ago

If two lines intersect at a right angle, then they are perpendicular

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

This is TRUE!

The definition for perpendicular only applies when the lines are at a right angle which is 90°

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The diagram shows several points and lines.

Leya [2.2K]

Answer:

B and E 2020

Step-by-step explanation:

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4 years ago

the measurement of an angle is five times less than the measurement of its supplement what is the measurement of the angle a. 30

Levart [38]

Let the angle be y;
Then the supplement is 5y
y+5y=180
6y=180
y=30
The angle is 30 degrees

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4 years ago

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3 years ago

The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

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3 years ago

Paige’s income statement for the month of December is shown. Paige monthly income statement for December. Total wages are 1,850

DedPeter [7]

Answer:

Paige’s net income for December is $950

Step-by-step explanation:

Here in this question, we are interested in calculating Paige’s net income for December

Mathematically;

Net income = Monthly wage - Total Expenses

From the question, monthly wage = $1,850 while the total expenses = $900

Thus, the net income will be ; $1,850 - $900 = $950

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3 years ago