Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given
and
. Sum of these two angles is 90°.
So we can write the equation as,
![(2x)+(x+15) = 90](https://tex.z-dn.net/?f=%20%282x%29%2B%28x%2B15%29%20%3D%2090%20)
We have to remove the parenthesis now.
![2x+x+15 = 90](https://tex.z-dn.net/?f=%202x%2Bx%2B15%20%3D%2090%20)
Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,
![3x+15 = 90](https://tex.z-dn.net/?f=%203x%2B15%20%3D%2090%20)
To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.
![3x+15-15 = 90-15](https://tex.z-dn.net/?f=%203x%2B15-15%20%3D%2090-15%20)
![3x= 90-15](https://tex.z-dn.net/?f=%203x%3D%2090-15%20)
![3x= 75](https://tex.z-dn.net/?f=%203x%3D%2075%20)
Now to get x, we have to move 3 to the other side, by dividing it to both sides.
![(3x)/3 = (75)/3](https://tex.z-dn.net/?f=%20%283x%29%2F3%20%3D%20%2875%29%2F3%20)
![x = (75)/3](https://tex.z-dn.net/?f=%20x%20%3D%20%2875%29%2F3%20)
![x = 25](https://tex.z-dn.net/?f=%20x%20%3D%2025%20)
We have got the required value of x.
The solution is x= 25.
Answer:
2 parts white paint
Step-by-step explanation:
Blue : white
3 : 1
We use 6 parts blue
3 *2 =6
So multiply each part by 2
Blue : white
3*2 : 1*2
6 : 2
She uses 2 parts white paint
Answer:
True
Step-by-step explanation:
angle 3 and 6 are alternate angles.
alternate angles have the following characteristics:
1. they are inside the parallel lines
2. they are on opposite sides of the transversal
3. they are EQUAL
another example of alternate angles is angle 4 and angle 5
Answer:
The new volume will be V + 0.06V or 1.06V
Step-by-step explanation:
The volume of the sphere increased by 6% or 0.06V. This means the total volume of the sphere will be V + 0.06V or 1.06V.