One interior angle would have a measure of 169.4° and one exterior angle would have a measure of 10.6°.

We first find the sum of the angles of the 34-gon. This is done using the formula
(n-2)(180), where n is the number of sides:

(34-2)(180) = 32(180) = 5760

Now we divide this by 34, since there are 34 congruent angles in the shape:

5760/34 = 169.4

The measure of an exterior and interior angle together will make 180°, so the exterior angle is found by

180-169.4 = 10.6°

4 0

3 years ago

I need help with this please

expeople1 [14]

Answer:

Step-by-step explanation:

there's a property for Alternate Interior Angles

4 0

3 years ago

Read 2 more answers

About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0

3 years ago

Solve using system of equations

IgorC [24]

Answer:

x=8

Step-by-step explanation:

set both equations equal to each other

x^2-3x-10=-2x=2

combine like terms

x^2=1x+8

x+8

Hope this helps!

8 0

3 years ago