All categories

3 years ago

What is the value of x that makes the statement true? 8x + 45 = 10x + 69 x =

Mathematics

2 answers:

andreev551 [17]3 years ago

4 0

Answer:

x = -12

Step-by-step explanation:

8x + 45 = 10x + 69

8x = 10x + 24

-2x = 24

x = -12

Sergio039 [100]3 years ago

3 0

Answer: x = - 12

8x + 45 = 10x + 69

⇔ 10x - 8x = 45 - 69

⇔ 2x = -24

⇔ x = -12

Step-by-step explanation:

You might be interested in

CORRECT answer gets BRAINLIEST, RATES, THANKS ON PROFILE AND HERE, AND 15 POINTS.

aleksandrvk [35]

The volume of the cylinder by definition is given by:
V = pi * r ^ 2 * h
Where,
r: radio
h: height
Substituting values we have:
V = 3.14 * (14/2) ^ 2 * 4.5
V = 692.37 ft³
Answer:
the volume of the pool is:
V = 692.37 ft³

6 0

3 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has <u>13 sides.</u>

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

3 0

3 years ago

Y greater than or equal to x + 4

tatiyna

See the attached files

<h2>Explanation:</h2>

Here we have the following inequality:

$y>x+4$

In order to graph the shaded region, we have to graph the equation of the line $y=x+4$ whose slope is $m=1$ and y-intercept $b=4$ . So the graph of the line is shown in the First Figure below.

To find the shaded region we need to have a look at the symbol > that indicates that the shaded region is above the graph of the line and. Since this doesn't include the symbol =, then the line is dotted. Therefore, the resulting region is shown in the second Figure.

<h2>Learn more:</h2>

Shaded regions: brainly.com/question/9611462

#LearnWithBrainly

5 0

3 years ago

A recipe calls for the following ingredients. 3 C flour, 1/2 t salt, 3/4 c sugar, 4 C fruit, 2 t butter.to make 2/3 of the recip

Hatshy [7]

Divide by 3 to each ingredient (gives you a third) and then multiply your answer by two (gives you 2/3). For example, 2 divided by 3 is 2/3, multiply by two and get 1 1/3 t of butter. For the fruits, 4 divided by 3 is 4/3, simplified is 1 1/3, multiply by 2 and get 2 2/3.

8 0

3 years ago

Read 2 more answers

A water truck is filling a swimming pool. The equation that represents this relationship is y = 19.75x where y is the number of

Degger [83]

Answer:

Step-by-step explanation:

1. true

2. true

3. true

4. true

5. true

5 0

3 years ago