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4 years ago

which of the following sets could not be the lengths of the sides of a triangle. {11,14, 25} {5, 6, 10} {4, 4, 5} {1, 2, 2}

1 answer:

6 0

A triangle is only possible if you can add any two sides and have the sum be larger than the third side. This happens with choice B, C, and D.

With choice A, we have 11+14 = 25 not larger than the third side of 25. So a straight line is possible and it's not possible to draw a triangle with these dimensions.

Answer: Choice A

note: This is using the triangle inequality theorem

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for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b

marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

⇒ 300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

= 101/2 (300+100)

= 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4

7 0

1 year ago

What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The

max2010maxim [7]

<h3><u>Answer</u><u>:</u><u>-</u></h3>

x=17

<h3><u>step-by</u><u>-</u><u>step</u><u> </u><u>Explanation</u><u>:</u><u>-</u></h3>

${\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}$

<h3 />

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Given angles

(6x+10°)
(x+17°)
(4x-34)°

According to sum theory

${\boxed{\sf The \:sum\:of\:angles=180°}}$

Substitute the values

$\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180$

Remove brackets

$\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180$

Together like polynomials and constants

$\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180$

$\qquad \quad{:}\longmapsto\tt 11x-7=180$

Interchange sides

$\qquad \quad{:}\longmapsto\tt 11x=180+7$

$\qquad \quad{:}\longmapsto\tt 11x=187$

$\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}$

Simplify

$\qquad \quad{:}\longmapsto\tt x=17$

$\therefore\sf The \:value\:of\:x\;is\:17.$

8 0

3 years ago

The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?

MAXImum [283]

We have to convert the measurements
the tray is 60 cm by 50 cm

if the cake tin is 25 cm in diameter, it will fit just 4 cakes because we have a length of 60 cm (will have 10 cm left over) and a width of 50 cm
hope it helps

5 0

3 years ago

Read 2 more answers

What is the solution f/4 = 12/5

Ede4ka [16]

Answer:

f = 48/5

Step-by-step explanation:

5f = 12 * 4

5f = 48

f = 48/5

7 0

3 years ago

Find an equation in slope-intercept form for the line with slope -3/4 and y-intercept=0? will give BRAINLIEST

nata0808 [166]

Answer:

Step-by-step explanation:

See the solution process below:

Explanation:

The slope-intercept form of a linear equation is: y =mx+b

Where m is the slope and b

is the y-intercept value.

We are given the slope in the problem so we can substitute

−5/6 for m in the formula.

And,

(0,6)

is the y-intercept so we can substitute

for

in the formula giving:

−

6 0

3 years ago

Read 2 more answers