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Pavlova-9 [17]
3 years ago
6

1. Solve for the value of x

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

<h3><u>x = 18</u></h3>

Explanation:

  • Line E B C Needs To Equal 180°
  • Create An Equation

3x + 5 + 3x + 4 + 3x + 9 = 180

  • Simplify Both Sides Of The Equation

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

9x + 18 = 180

  • Subtract 18 From Both Sides

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

<h3><u>x = 18</u></h3>
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Nancy bought a soft drink for 2 dollars and 9 candy bars. She spent a total of 38 dollars. How much did each
natima [27]

Answer:

$4

Step-by-step explanation:

Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:

38 - 2 = 36

Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:

36 / 9 = 4

So, each candy bar costs 4 dollars

Hope this helps :)

3 0
3 years ago
Read 2 more answers
7.52 divided by 64 =
Vaselesa [24]
0.1174
You could use a calculator
7 0
3 years ago
Jenny reaches the corner to clear away spider webs from the room. She is holding the 5 foot pole at top of head level from 45. S
Slav-nsk [51]

Answer:

Height of ceiling = 9.04ft

Step-by-step explanation:

Given:

Length of pole = 5ft

Horizontal angle = 45^{0}

Jenny's height = 5ft6in = 5ft + (6/12)ft= 5ft + 0.5ft

Jenny's height =  5.5ft

From the attached diagram, we have that

sin45^{0}= \frac{b}{5}\\ \\b = sin45^{0}*5=0.7071*5\\\\b=3.5355ft

b ≅ 3.54ft

Height of ceiling = Height of Jenny + b

Height of ceiling = 5.5ft + 3.54ft

Height of ceiling = 9.04ft

7 0
3 years ago
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder
erica [24]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

7 0
2 years ago
What is the length of line segment PQ? If you can please explain, thanks.
nydimaria [60]

Given:

Tangent segment MN = 6

External segment NQ = 4

Secant segment NP =x + 4

To find:

The length of line segment PQ.

Solution:

Property of tangent and secant segment:

If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.

\Rightarrow NQ\times NP = MN^2

\Rightarrow 4\times (x+4) = 6^2

\Rightarrow 4x+16 = 36

Subtract 16 from both sides.

\Rightarrow 4x+16-16 = 36-16

\Rightarrow 4x =20

Divide by 4 on both sides.

$\Rightarrow\frac{4x}{4}=\frac{20}{4}

\Rightarrow x = 5

The length of line segment PQ is 5 units.

5 0
4 years ago
Read 2 more answers
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