Find the counterexample to one of the following statements

1). A triangle cannot have an angle that is greater than 90º .

2). The product of two positive numbers is always greater than their sum.

Answers

Answer 1

Answer:

1) You know that the addition of all interior angles of a triangle always should add up to 180°

Then, for example, we can construct a triangle with angles

100°, 40°, 40° such that

100° + 40° + 40° = 180°

So we have an example of a triangle that has one angle greater than 90°.

2) Suppose that we have the positive numbers 0.5 and 1.

The product is: P = 0.5*1 = 0.5

the sum is: S = 0.5 + 1 = 1.5

The sum is greater than the product.


Related Questions

2a+6=12 what does a equal a=? Please help.

Answers

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest

Answers

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

Answers:

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

Step by step explanation:

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

plz plz plz i really need this will mark biranleast


Triangle ABC is to be reflected across line m to create triangle A'B'C'.


Which best describes the location of B'?



4 units to the right of line m.


4 units to the left of line m.


8 units to the right of line m.


8 units to the left of line m.

Answers

Answer:

8 units to the right of line m

Step-by-step explanation:

when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.

Answer:

4 units to the left of line m

Step-by-step explanation:

that's how I'm seeing it

An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches

Answers

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12

PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!

Answers

What’s the question asking

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

Picture attachment below

Answers

Answer:

1/3

Step-by-step explanation:

the total outcomes is 3*4 = 12

the  probability to get two digit numbers 14 or less is :

11 12 13 14  

4/12 = 1/3

What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?

Answers

-5/1 is the slope so the answer is -5 because you pick 2 points and use point slope formula or
y1-y2/x1-x2

Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3 2 (3) + 6

Answers

2(3)+6

Explanation

2(3+3)=12


2(3)+6
6+6=12

Equivalent

Answer:

D

Step-by-step explanation:

−2⋅f(−6)−7⋅g(−7) = ?

Answers

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11

Can someone help me out?

Answers

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

The value of 3⁵ ÷ 3-⁶

Answers

Answer: 33

Step-by-step explanation:

First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.

Next we have to figure out what  3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.

Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.

Hope this helped :)

The value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

We have -   [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]

We have to find its quotient.

Evaluate the following expression -  [tex]\frac{a^{n} }{a^{m} }[/tex].

You can simplify the expression as follows -

[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]

According to the question, we have -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  

Using the rule mentioned above, we can solve this as -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]

Expanding [tex]3^{11}[/tex] = 177147

Hence, the value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

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Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection

Answers

the answer would be she had an increase of 9 records this year. so she had 15 last year and this year 24. to get the increase you should subtract the amount she had this year (24) by the amount she had last year (15). this equals 9.
The increase is 9. 24-15 or 15- 24 can be used to solve this. The absolute value of both of them is 9. So the answer is 9 hope this helped :p

Point O is the center of dilation. Triangle X Y Z is dilated to create triangle X prime Y prime Z prime. The length of O Z is 2 and the length of Z Z prime is 4. The length of side X prime Y prime is 9 and the length of side Y prime Z prime is 12. Triangle XYZ was transformed by DO,3. What is the length of side XY? 1.5 4.5 3 18

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.

Answer:

short answer middle picture :)

Step-by-step explanation:

if the string forms a straight line, how high is the kite above the ground?

Answers

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

What is 181.5% of 18?

Answers

Answer:

32.67

Step-by-step explanation:

18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.

The solution of expression is,

⇒ 32.67

We have to given that;

To find the value of 181.5% of 18.

Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Hence, We can simplify as;

⇒ 181.5% of 18

⇒ 181.5/100 × 18

⇒ 1.815 × 18

⇒ 32.67

Thus, The solution of expression is,

⇒ 32.67

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Use the Zero Product Property to solve each equation.

2x2 - 5x + 2 = 0

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]4x-5x+2=0[/tex]

Can someone help me on these 2 questions?

Answers

Answer:

1. y=3

2. z= 27/4 or 6.75

Y=3 and z=27/4 are the answers

The graph below models the height of a remote-control helicopter over 20 seconds during flight.


Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds

Answers

Answer:

2) 5 to 10

Step-by-step explanation:

The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.

Analyzing the intervals:

In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.

In the interval from 5 to 10 the height hardly changes.

In the interval from 10 to 15 the height changes more than in the previous interval (downward).

And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.

thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).

What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic

Answers

It’s linear because it’s adding the same number each time.

The type of function is Linear.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

x  5    10    15    20    25    30

y  6.5  13  19.5  26   32.5   39

As, we can see from the table that every time the the difference between two consecutive value is same.

Hence, the function is linear.

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What is the result when the number 15 is decreased by 6%? Round your answer to the nearest tenth.

Answers

Answer:

106.67%

Step-by-step explanation:

Answer:

14.1

Step-by-step explanation:

Having trouble with this? Can someone explain this to me please?

Answers

Answer:

D

Step-by-step explanation:

D is the correct ratio. If his heart beats 12 times in 10 seconds, then it will beat 72 times in 60 seconds/1 minute if you use the proportion. D is the only correct ratio because it shows 72 beats:1 minute.

Can someone Help me?

Answers

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

If a patient needs 30 days supply of tablet two tablets four times a day how many tablets with a patient need for discharge

Answers

Answer:

Total number of tablets needs to discharge = 240 tables

Step-by-step explanation:

Given:

Number of days tablet need = 30 days

Number of times per days need = 4 times

Number of tablet per time = 2 tablet

Find:

Total number of tablets needs to discharge = ?

Computation:

⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time

⇒ Total number of tablets needs to discharge = 30 × 4 × 2

Total number of tablets needs to discharge = 240 tables

Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years

This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.

Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?

Answers

Answer:

Which of the decimals in the problem should be represented as a negative rate?

2.2 mm/year

Which two factors should Ericka multiply to find the total variation in water level?

6.2 years and –2.2 mm/year

Step-by-step explanation:

2.2 is represented as a negative integer because the problem said the key word "fell."

You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.

Answer:

2.2 mm/year        6.2 years and -2.2 mm/year

Solve the equation. Then check your solution.
-
(3a + 4) = 7
Helppp

Answers

Answer:

1

Step-by-step explanation:

-3a+4 =7

-4. _4

-3a=3

divide by -3 on both sides

a=-1

3+4=7

Answer:

a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66

Step-by-step explanation:

-(3a+4)=7

-3a-4=7

Add 4 to both sides

-3a=11

Multiply both sides by -1

3a= -11

Divide both sides by 3

a= [tex]-3\frac{2}{3}[/tex]

Solve the inequality, then identify the graph of the
solution
-3x-3<_6

Answers

Answer:

First Part is C

The second part is 0,2,4

Step-by-step explanation:

Edge said so

The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is [tex]-3x-3\leq 6[/tex].

The graph below shows the inequality of the expression.

The solution of the expression is

[tex]-3x-3\leq 6[/tex]

⇒ [tex]-3x\leq 6+3[/tex]

⇒ [tex]-3x\leq 9[/tex]

Divide both sides by -3. Then the inequality will also get changed.

⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]

⇒ [tex]x\geq -3[/tex]

Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

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What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ

Answers

Answer:

For the statement;

If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]

The contrapositive statement is therefore;

If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]

Step-by-step explanation:

Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive

The contrapositive of the statement p → q is equal to ~p → ~q

Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement

Answer:

If M is not the midpoint of , then  is not congruent to

Step-by-step explanation:

Peter rides a bike along a triangular path in the neighborhood park. The sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far does Peter ride? 10.75 miles miles 12.35 miles 13.15 miles
a triangular path in the neighborhood park. The
sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far
does Peter ride?

Answers

Answer:

The distance that Peter rides is:

13.15 miles.

Step-by-step explanation:

To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:

Perimeter of a triangle = side + side + side

If you replace the formula, you obtain:

Perimeter of a triangle = 3.36 miles + 4.18 miles + 5.61 miles Perimeter of a triangle = 13.15 miles

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answers

Answer:

[tex]D = 1 - \frac{1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

[tex]Peat Moss = \frac{1}{4}[/tex]

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

[tex]D = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]D = \frac{4-1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

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Select One.125 feet125 square feet1250 feet1256 square feet Find the area of a circle with diameter, d = 10m.Give your answer in terms of . Suppose cattle in a large herd have a mean weight of 3181lbs and a standard deviation of 119lbs. What is the probability that the mean weight of the sample of cows would differ from the population mean by greater than 11lbs if 49 cows are sampled at random from the herd Read the excerpt from "Politics and the English Language" by George Orwell. Probably it is better to put off using words as long as possible and get ones meaning as clear as one can through pictures or sensations. Afterwards one can choosenot simply acceptthe phrases that will best cover the meaning, and then switch round and decide what impressions ones words are likely to make on another person. This last effort of the mind cuts out all stale or mixed images, all prefabricated phrases, needless repetitions, and humbug and vagueness generally. Which best describes George Orwells purpose and the way he achieves it in this excerpt? Orwells purpose is to inform his readers about political events. He achieves this by listing important events of his day. Orwells purpose is to inform his readers about political events. He achieves this by quoting a current news article. Orwells purpose is to persuade his readers to use simple language in political writing. He achieves this by suggesting steps writers can take to choose their words carefully. Orwells purpose is to persuade his readers to use simple language in political writing. He achieves this by giving an example of a well-written political speech. At the corner store near Billyshouse, loose mixed nuts cost$1.75 per 100 g. Write anequation to represent the amountof mixed nuts, n, he can buy if hehas d dollars. 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(iii) The events of different new hires reaching retirement and the events of different new hires being married at retirement are all mutually independent events. Calculate the probability that the city will provide at most 90 pensions to the 100 new hires and their husbands. (A) 0.60 (B) 0.67 (C) 0.75 (D) 0.93 (E) 0.99 Baca uses comforting imagery. Which lines have a more serious tone than the rest of the poem? It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed? Round to nearest hundredth. Given JKL, the following steps were performed to construct triangle XYZ so that JKL XYZ.1.Copy side JL to form XZ. 2.Copy angle LJK to form ZXY. 3. Copy side JK to form XY. 4. Construct segment YZ. Which congruency theorem can be applied to prove that the triangles are congruent? a) ASA b) SSS c) AAS d) SAS The phrase admonishing smile is an example of Ralph Waldo Emersons use of what type of figurative language? In a completely randomized design involving three treatments, the following information is provided: Treatment 1 Treatment 2 Treatment 3 Sample Size 5 10 5 Sample Mean 4 8 9 The overall mean for all the treatments is a. 7.00 b. 6.67 c. 7.25 d. 4.89 Please Answer Quick!!! Will Give Brainliest!!!1.) Rita used a compass to draw a circle with a radius of 3 cm. What was the circumference of the circle? (Use 3.14 for .)2.) If 20% of the 50 pennies in the roll were minted before the year 2000, then how many of the pennies were minted before 2000?