All categories

3 years ago

Please help! Name an angle adjacent and congruent to angle AOC ( diagram in picture)

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

Angle DOC

Step-by-step explanation:

Since angle AOC and angle DOC are ajacent angles that form a straight line, they are supplementary to each other.

By the definition of supplementary angles, you can determine that angle AOC + angle DOC = 180.

Also notice that angle DOC is a right angle (90 degrees), so you can also determine that angle AOC is also a right angle since they are supplementary.

You might be interested in

What are theutilities

Leno4ka [110]

Hope it helps yah (◕ᴗ◕✿)

5 0

3 years ago

Einstein Office Equipment has a rental plan for office machines. A fax machine that lists for $722.98 can be rented for 22% of t

Archy [21]

Answer:

$13.68

Step-by-step explanation:

Assuming they rent for 1 year, the cost is broken down as follows:

Annual renting cost = 22% of 722.98 = $\frac{22}{100}*722.98=0.22*722.98=159.06$

Usage charge = 3.2% of 159.06 = $\frac{3.2}{100}*159.06=0.032*159.06=5.09$

Thus,

Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15

Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):

$\frac{164.15}{12}=13.68$ dollars

6 0

3 years ago

Read 2 more answers

A rectangular sign has length of 3 and 1/2 ft and a width of 1 and 1/8 ft. Will the area of the sign be greater or less than 3 a

zavuch27 [327]

Answer:

$Area = 3\dfrac{15}{16}\ sq\ ft$

Area is greater than $3\frac{1}{2}$ sq ft.

Step-by-step explanation:

Length of rectangular sign board = $3\frac{1}{2}$ ft

Width of rectangular sign board = $1\frac{1}{8}$ ft

Area of a rectangle is given by the formula:

$A = Length \times Width$

To find the area, we are going to multiply $3\frac{1}{2}$ with $1\frac{1}{8}$ .

$1\frac{1}{8}$ is greater than 1.

Therefore the multiplication will be greater than $3\frac{1}{2}$ .

Hence, we can say that area will be greater than $3\frac{1}{2}$ sq ft.

Area of the sign:

$A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft$

8 0

2 years ago

Which expression is equivalent to: (x +9)(x+3)

labwork [276]

Answer:

Step-by-step explanation:

x*x=x^2

x*9=9x

x*3=3x

9x+3x=12x

9x3=27

x^2+12x+27

6 0

3 years ago

Read 2 more answers

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

3 years ago