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frosja888 [35]
9 months ago
12

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

Mathematics
1 answer:
miss Akunina [59]9 months ago
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

#SPJ1

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Shawna has 4/5 ounces of juice. She drinks 3/4 of it. How much is left
Bezzdna [24]

Answer:

0.05

Step-by-step explanation:

I turned the fractions into decimals. to do that your do exactly as it tells you!

4 divided by 5 = 0.8

so she has 0.8 ounces of juice (That not alot lol I would not be satisfied) now for how much she drank...

3 divided by 4 =0.75

0.80 - 0.75 = 0.05

She drank 0.05 ounces

Hope this helped! Please mark as brainliest! Thanks! If you need me to turn 0.05 in a fraction i can do that.

4 0
3 years ago
Find the x- and y- intercepts of the equation -x+5y=10.
mario62 [17]

Answer:

X Intercept: (-10,0), Y Intercept: (0,2)

Step-by-step explanation:

Well, firstly you need to rewrite the equation to make it easier. After rewriting it you have the equation y=x/5+2 by adding the x to the right side and dividing everything by 5. Now simply plug in your zeroes in their respective places. For the x intercept, your y value must equal 0 so we have the equation 0=x/5+2. After solving it, x must be -10 in order for our y value to be 0 getting us for the x intercept (-10,0). For the y intercept, your x value must equal zero so you simply subsitute zero in the equation for x which I will do here: y=0/5+2. If our x value is zero, consequently, our y value will be 2 getting us for the y intercept, (0,2).

4 0
2 years ago
Which of the following mathematical statements shows "the quotient of a number and six is eight”?
rosijanka [135]
N ÷ 6 = 8
hope this helps good luck! =]
6 0
2 years ago
-2 divided by 1/4 please show your work
Aneli [31]
-2 / 1/4
If you are dividing you have to switch 1/4 to 4/1

-2/1  / 4/1
= -8
Hope this helped
6 0
3 years ago
A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and
USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

Focus =ae =\sqrt{7}

Thus string should be nailed at 2.64 m from center

8 0
3 years ago
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