All categories

3 years ago

Find the measure of each unknown angle

Mathematics

2 answers:

Olin [163]3 years ago

6 0

Answer:

1. 55 degrees, 2. 316 degrees

Step-by-step explanation:

When it shows interior angles on a triangle it adds up to 180 degrees

When it shows exterior angles on a triangle it adds up to 360 degrees

1. ? = 55 degrees

85 + 40 = 125

180 - 125 = 55

2. ? = 316 degrees

Inside of triangle:

14 + 30 = 44

180 - 44 = 136 degrees

Exterior of triangle:

360 - 14 = 346 degrees

360 - 30 = 330 degrees

360 - 44 = 316 degrees

Aleks [24]3 years ago

3 0

. The sum of angels in the triangle must be 180
Therefore
1) 180 - (40+85)= 55
2)180-(14+30)= 136

You might be interested in

Plzzzz help me with one and two I don’t understand

Ratling [72]

What this question simply asks about is you write the numbers it gave you in only one digit by 10 to the power of n. Where n represents the number of shifts of the decimal point.
And to get this number to be one digit, then you have to approximate.
To approximate; you should always consider that less than 5 counts zero and 5 or more counts+1.
Example:
5.3 is approximately 5
5.5 is approx. 6
5.9 is also approx. 6
and so on.
So the final answers are;
1) 4*10^13
2) 5*10^-11
Please note that 10^positive integer will cause the decimal point to move to the right which means a number greater than 1, usually, while 10^negative integer means number smaller than 1, usually.
Hope this helps.

7 0

3 years ago

Can someone please give me a scenario of this please Y=3x + 2

Deffense [45]

Ahhh I think that is cheating?

Soz I know the anaswer but I cant tell you have to do by your self to learn you can't always ask for answers :<

7 0

3 years ago

Read 2 more answers

How much simple interest is earned on $4,000 in 3 1/2 years at an interest rate of 5.2%?

AveGali [126]

Answer:

$728

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

I = (4000)(0.052)(3.5)

I = 728

4 0

3 years ago

Read 2 more answers

You buy a rental property for $180,000. Assuming that you could sell the property for $250,000 at the end of 6 years, what is yo

docker41 [41]

Answer:

15.542%

Step-by-step explanation:

For uneven cash flows such as those in this problem, there is no formula for "internal rate of return" (IRR). It must be computed graphically or iteratively. Spreadsheets and financial calculators are equipped to do this calculation. Attached is the result of the calculation done by a graphing calculator.

The sum of "present value" of each of the cash flows is zero when the discount rate is the IRR.

7 0

3 years ago

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.

5 0

4 years ago

Find the measure of each unknown angle​

Find the measure of each unknown angle