We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Step 1 is the correct answer because to begin solving you must add 1 to both sides of the equation
Answer: n+2
Two lawns more than last week so two more than something with n being that something is; n+2
Answer:
x is more than or equal to 77
Step-by-step explanation:
Answer:
So there are 3 distinct cubes.
Step-by-step explanation:
There are total six sides of the cube.
if we observe the given data and fix the sides of the cube by the color
So,
let suppose,
Blue color is painted on the top side of the cube
Now, we have left 5 sides
as per the information 2 sides are painted by Red color
let suppose,
1 Red color is painted on bottom side And 1 is on side
Now, we have left 3 sides
And 3 sides are green as per the given information.
1 green color painted on the adjacent side of the red side
1 green side is opposite of red side.
and 1 opposite of green side.
Now all side are colored and if we observe the above scenario
All other possibilities can be rotated to one of these.
So there are 3 distinct cubes.