1 × 1010+3 × 109+4 × 108+0 × 107+0 × 106+0 × 105+0 × 104+0 × 103+0 × 102+0 × 101+0 × 10<span>0
</span>
72°
the sum of the exterior angles of a polygon = 360°
for a pentagon with 5 sides the
exterior angle =
= 72°
The answer would be C and E
Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
x = 5
<u>explanation</u>
70 + 23x - 5 + 110 + 14x = 360
first you group the like terms
23x + 14x + 70 - 5 + 110 = 360
then combine the like terms
<u>23x + 14x</u> <u>70 - 5 + 110</u>
37x + 175 = 360
subtract 175 from both sides
175 - 175 = 0 360 - 175 = 185
to get
37x = 185
divide both sides by 37
37x/37 = 0 185/37= 5
which gives you
x = 5