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ioda
3 years ago
14

If six times the measure of an angle is decreased by 21°, the result is the same as when four times the measure of the angle is

increased by 11°. What is the measure of the angle?
Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

16 degrees

Step-by-step explanation:

let the angle be 'x'

so, we can equate the given statements as:

6x - 21 = 4x + 11

6x - 4x = 11 + 21

2x = 32

x = 32/2 = 16 degrees

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Gina Needs To Pack 130 Pens, 50 Pencils And 20 Erasers Into Identical Gift Bags So That Each Item Is Equally Distributed Among T
PolarNik [594]

Answer:

Step-by-step explanation:

I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all

If you did that, then each gift bag would contain 2 pencils with 10 left over.

Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.

6 0
3 years ago
What type of transformation can be defined as turning a figure about a fixed point with no change to the size or shape of the fi
Mekhanik [1.2K]
The type of transformation that turns a figure without changing the size or the shape of the figure is called a ROTATION. An example is given in the diagram below. The triangle has been rotated 90° about the origin

3 0
3 years ago
What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.
stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{4}{6}

\text{Probability}=\dfrac{2}{3}

In decimal form, it can be written as:

\text{Probability}\approx 0.67

In percentage form, it can be written as:

\text{Probability}=\dfrac{2}{3}\times 100

\text{Probability}\approx 66.67%

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are \dfrac{2}{3}, 0.67 and 66.67\% respectively.

8 0
3 years ago
State the domain and range of the following relation<br> x^2+y^2=16
Vlada [557]

The domain and range is  [-4, 4] and [0, 4]

<h3 /><h3>What is Domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is  [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

Learn more about domain and range here:

brainly.com/question/12751831

#SPJ1

8 0
2 years ago
Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3
steposvetlana [31]

Answer: A=2144\ cm^2

Step-by-step explanation:

For this exercise you need  to use the following formula for calculate the area of regular polygon:

A=\frac{s^2n}{4tan(\frac{180}{n})}

Where is "s" the length of any side, "n" is the number of sides.

Int this case you know that it is regular pentagon, which means that it has five sides. Then you can identify that the values of "n" and "s":

s=35.3cm\\n=5

 Therefore, substituitng values into the formula, you get that the area f the pentagon is:

A=\frac{(35.3cm)^2(5)}{4tan(\frac{180}{5})}\\\\A=2144\ cm^2

8 0
3 years ago
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