Answer:
Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.
Angle 1=Angle 3
4x+30=2x+48
2x+30=48
2x=18
x=9
Angle 1=4(9)+30
Angle 1=36+30
Angle 1=66
Angle 1=Angle 3
Angle 1+ Angle 3=132
360-132=228
228/2=114
Angle 2= 114
Option C
The ratio for the volumes of two similar cylinders is 8 : 27
<h3><u>
Solution:</u></h3>
Let there are two cylinder of heights "h" and "H"
Also radius to be "r" and "R"
Where π = 3.14 , r is the radius and h is the height
Now the ratio of their heights and radii is 2:3 .i.e
<em><u>Ratio for the volumes of two cylinders</u></em>
Cancelling the common terms, we get
Substituting we get,
Hence, the ratio of volume of two cylinders is 8 : 27
Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
<u />a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500<u />
4 times 2= 8. so, 4times k2 = k8. To understand this better, imagine that k equaled 2. That would make the expression above = (2x2)4, which would equal 16. However, since we don't know the value of k, we have to use the numbers that we already have, It would be like solving the expression: (2x2)4 without multiplying the first 2. It would then be 2x8. So, we just simplified it, we didn't solve it.
Answer:
31
Step-by-step explanation:
x+24+4x+1=180
5x+25=180
5x=155
x=155/5=31