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1 year ago

If m∠F = 90° and m∠G = 70°, then ∠F and ∠G are not supplementary.

1 answer:

5 0

a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.

b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.

<h3>What are supplementary angles?</h3>

Two angles are called supplementary angles if the sum of their measures has a value of 180º.

The measures of the angles in this problem are given as follows:

m∠F = 90°.

m∠G = 70°.

Then the sum of the measures of this angles is given as follows:

90 + 70 = 160º.

Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.

A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480

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Find the equation of the linethe line passes through the points (5,2) and (-4,-4)

almond37 [142]

Answer:

$y = \frac{2}{3}x - \frac{4}{3}$

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

$m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3}$

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

$y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3}$

substitute the slope and the value for b into the equation to get the answer

$y = \frac{2}{3} x - \frac{4}{3}$

4 0

3 years ago

If one container holds 55 balls, how many balls will nine containers hold?

denpristay [2]

1 container = 55 balls
x 9 x 9
9 containers = ? balls
55 x 9 = 495

<u><em>The answer is 495 balls</em></u>

8 0

3 years ago

Read 2 more answers

PLEASE HELPPP

posledela

PLEASE HELPPP
The function f is giving by
f(x) = (x - 2)(x +4). What are the x-intercepts of the graph representing f?

6 0

2 years ago

Read 2 more answers

Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

Hence, a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

6 0

3 years ago

complete your work on a separate sheet of paper after you answer the question unlock your work to the Box

charle [14.2K]

okay so the first step in finding the answer is to see what the formula is to determine the area of a rectangle.

do you know the formula?

okay so the formula is A = L * W

where the L stands for length

and the W stands for Width

so based on the picture can you determine what the length and width are?

where are you having issues with that?

yes that is correct!

don't second guess yourself

so the length is 2 2/3 and the width is 3/4

now the easiest way to solve this problem is to convert the fractions into decimals

are you allowed to use a calculator?

okay so then lets try to convert these fractions into whole numbers

do you know how to convert fractions into whole numbers?

okay so worries

so do that we would have to Divide the numerator by the denominator, only if the numerator is a multiple of the denominator.

so for the width, is 4 a multiple of 3?

no it is not

so out only method would be to convert it into a decimal

do you know what 3/4 is in decimal form?

it is .75 because if you have 4 quarters which equal .25 then 3 quarters equal 75

now we move onto the length 2 2/3

now we already have 2 as a whole number and we can convert 2/3 into a decimal

so we basically do 3 /2

3 does not go into 2 so we put a decimal so it is 0.

then we see how many times 3 goes into 20

how many times does 3 go into 20?

no it is 6 times, because 3*6 = 18

so now we have 0.6

and we bring down the reminder

so we have 3/20

and we have a repeating decimal so our answer is

2/3 = 0.66666

so if we add the whole number we have 2.6666

so now we can plug that into the equation

A = L * W

A = 0.75 * 2.6666

Are you with me so far?

do you have any questions?

great now we just multiple 2.66 * 0.75

can you do that and tell me what you get?

AWESOME!

Now we can round that to the closest number

what is that?

do you know what 1.995 to the closest whole is?

GREAT!

so your answer is

0.75 * 2.66 = 2

ANY QUESTIONS?

Do you know the formula for the perimeter of a rectangle?

P = 2( L + W)

so from the information that we already have, can you plug in the numbers for me?

close, try again

and this time for it in fromula form

use the formula that I have provided for you

so can you tell me the formula for the perimeter of a rectangle?

great

so P is the value we are looking for and the rest is the formula

can you now try to plug in the numbers into the formula

starting with P =

GREAT!

now don't forget the parentheses

so try one last time

Awesome!

So now according to the laws of PEMDAS what would be our first step into solving this equation?

where did you get 3.41 from?

yes

so 2.66 + 0.75 = 3.41

now we have P = 2 (3.41)

so we now multiple 3.41 * 2

what do you get when you do that?

great job!

so now we know P = 6.82

and those are your two answers

A = 2

P = 6.82

do you have any questions?

7 0

1 year ago