the sum of 2 consecutive integers is less than 55.the pair of integers sum are 26 and 27. true or false?

1 answer:

6 0

X + x + 1 < 55
2x + 1 < 55
Subtract 1 from both sides
2x < 54
Divide both sides by 2
x < 27
The integer less than 27 is 26.
26 + 27 < 55. True

You might be interested in

Ignore the stuff underneath I did it in pen and messed up.

Vinil7 [7]

U didn't mess up....
V = pi * r^2 * h....divide both sides by (pi)r^2
V / (pi)r^2 = h

7 0

3 years ago

A wall with a height of 20 feet is braced with a support post that forms a 30 degree angle with the top of the wall. What is the

dexar [7]

The length of the support post is 40 ft.

<u>Solution:</u>

Given, the height of the wall is 20 ft; support post forms 30 degree

Refer the attached image

Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and $\angle A$ is 30 degree ( $\theta$ ) and AC is the length of the post.

To find: The length of the post (AC)

we know the formula, $sin\theta=\frac{opp}{hyp}$ (trigonometric formula)

On substituting the values we get,

$\Rightarrow sin(30^{\circ})=\frac{20}{AC}$

The value of sin 30 degree is 0.5

$\Rightarrow 0.5=\frac{20}{AC}\rightarrow AC=\frac{20}{0.5}\rightarrow AC=40 ft$

3 0

3 years ago

Find the area of the composite figure below.<br> 4,3,3,2,2

fredd [130]

Answer:

The area of the figure is. 144.

you just have to multiply all the numbers.

6 0

3 years ago

Who is the best NBA player and why?

OLga [1]

Micheal Jordan, because he changed the game. and obviously

3 0

3 years ago

JjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjHow do you divide decimals?

Maru [420]

Give me a decimal to divide n I will help u

4 0

3 years ago