An even function must always have what characteristic?

HELP PLEASE I honestly need help please help

eduard

9514 1404 393

Answer:

5. x = 160; y = 20

6. h = 125°; g = i = 55°

Step-by-step explanation:

Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.

5. x° and 160° are vertical angles: x° = 160°

y° and 20° are vertical angles: y° = 20°

__

6. h° and 125° are vertical angles: h° = 125°

The angles g° and 125° form a "linear pair" so total 180°.

g° = 180° -125° = 55°

g° and i° are vertical angles: g° = i° = 55°

4 0

3 years ago

HELP ME PLEASE ASAP

Mumz [18]

5p + 4g = 42.5
3p + 6g = 34.5 

15p + 12g = 127.5 
-6p - 12g = -69 
9p = 58.5 
p = 6.5 
g = 2.5 

popcorn = $6.50 
granola = $2.50
A is the answer

6 0

3 years ago

Read 2 more answers

Can someone please help me with # 2 #13 thanks show work how it's done, please

zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

6 0

3 years ago

Express 3cm: 3m in the ratio of its simplest form

Dmitry_Shevchenko [17]

Answer:

1cm:100cm

Step-by-step explanation:

You have to convert the ratio into the same unit (I chose cm). If there are 100cm in a metre, there will be 300cm in 3m.

That leaves you with the ratio 3cm:300cm. To simplify, divide both sides by three leaving you with 1cm:100cm

3 0

3 years ago

Read 2 more answers

For a certain online store, the distribution of number per hour is approximately normal with mean 1200 purchases and standard de

Advocard [28]

Answer: 16%

Step-by-step explanation:

When we have a normal distribution, the 100% of our sample will be placed in a "gaussian bell".

Where the middle of this bell coincides with the mean.

The mean, in this case, is 1200, and the standard deviation is 200.

In the image below you can see that between the points.

Mean + standard deviation and the end of the graph, we have:

13.5% + 2.35% + 0.15% = 16%

And particularly, if we want to know the percentage that exceed 1400, will be the same percentage above the mean plus the standard deviation.

mean = 1200

SD = 200

mean + standard deviation = 1200 + 200 = 1400.

Then the percentage that exceeds 1400 is equal to the percentage that we found above, then the correct option is C: 16%

5 0

3 years ago