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
Answer: Option (3)
Step-by-step explanation:
The slope of the given line is
Thus, the answer must be Option (3)
Answer:
15
Step-by-step explanation:
15 is 5 * 3 so is not prime.
Answer:
10y + 29 ≤ -23
Step-by-step explanation:
subtract 29 from each side to get:
10y ≤ -52
y ≤ -5.2
Answer:
The lateral surface area of a cuboid is 180 units² .
Option (c) is correct.
Step-by-step explanation:
Formula
Lateral surface area of a cuboid = 2hl + 2hb
Where h is the height , l is the length and b is the breadth.
As shown in the figure.
Length = 4 units
Breadth = 5 units
Height = 10 units
Put in the formula
Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5
= 80 + 100
= 180 units ²
Therefore the lateral area of the cuboid is 180 units² .
Option (c) is correct.
