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3 years ago

Find a counterexample: Two sides of a

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3

When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have

7+7 = 14 which is larger than 3

7+3 = 10 which is larger than 7

By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".

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Of the $2400 Mr Calvin earned, he spent 3/8 on food, 1/3 on taxes and 1/6 on other expenses. Find out how much all this is in do

sattari [20]

Answer: $300

Step-by-step explanation:

Mr. Calvin earned $\$2400$

He spent $\frac{3}{8}$ on food i.e.

$\Rightarrow \dfrac{3}{8}\times 2400=\$900$

$\dfrac{1}{3}\quad \text{on taxes i.e.}\\\\\Rightarrow \dfrac{1}{3}\times 2400=\$800$

$\dfrac{1}{6}\ \text{on other expenses i.e.}\\\\\Rightarrow \dfrac{1}{6}\times 2400=\$400$

Remaining money = $2400-900-800-400=\$300$

So, he saved $300 after expenses

7 0

3 years ago

1. Use a piece of wool, thread or chord to measure the circumference of each of the circles found on the last page. To do this j

spayn [35]

Answer:

just doing this for my points!!! lol

Step-by-step explanation:

6 0

2 years ago

Domain of f(x)= -x^2 -4 +2

garri49 [273]

Answer:

Domain : all real numbers

Step-by-step explanation:

The domain is the input values

What values can x be?

X can be any real number

Domain : all real numbers

6 0

3 years ago

Find the volume of the pyramid

qaws [65]

Answer:

494 cubic meteres

Step-by-step explanation:

formula: lwh/3

(12 x 13 x 9 1/2) divided by 3= 4 x 13 x 19/2 = 52 x 19/2 = 26 x 19 = 494cubic metres

6 0

3 years ago

Harry reads equal numbers of pages of a book every week. The graph shows the number of pages of the book left to read, y, after

horsena [70]

Answer:

$y=-55x+275$

Explanation:

The given points are:

(0, 275)
(1, 220)
(2, 165)
(3, 110)
(4,55)
(5, 0)

Since a straight line joins all the points, the equation that models the relationship is linear and you can find the slope-intercept equation which has the general form:

$y=mx+b$

Where:

$m$ is the slope

$b$ is the y-intercept

1. Find the slope

You can use any two ordered pairs.

m = rise/run = Δy/Δx = [220 - 275] /[1 - 0] = - 55

2. Find the y-intercept

The y-intercept is the value of y when x = 0; thus it is 275.

b = 275

3. Substitute in the slope-intercept equation

$y=-55x+275$

That is the last option.

5 0

3 years ago