Step-by-step explanation:
question 15
For y to be parallel to z the sum of given angles must be equal to 180°
3x + 7 + 10x - 22 = 180° add like terms
13x - 15 = 180 add 15 to both sides
13x = 195 divide both sides by 13
x = 15
question 16
If y is parallel to z then the given angles are alternate exterior and has same measurement
11x - 3 = 4x + 39
11x - 4x = 39 + 3
7x = 42 divide both sides by 7
x = 6
Answer:
5/6 +5/6 = 10/6 = 1 2/3 glasses of juice
Step-by-step explanation:
Answer:
Any measure 7-17 (non-inclusive).
Step-by-step explanation:
12-5 = 7
12+5 = 17
The length of the third side of a triangle must be between the measures of the difference and the sum of the other two sides.
Answer:
the cost price is 27,715
Step-by-step explanation:
Let the cost price be x
As Amab sells to Vivek at 15% profit
So the selling price be
= 115 ÷ 100 × x = 1.15x
And Vivek sells to sagar at a profit of 10%
= 1.15x × 110 ÷ 100
= 1.265x
Now sagar pays it for 35,060
So , the cost price be
1.265x = 35,060
x = 27,715
Hence, the cost price is 27,715
Given:
The figure.
To find:
The value of a.
Solution:
We know that, in a right angled triangle
![\tan \theta =\dfrac{Perpendicular}{Base}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%5Cdfrac%7BPerpendicular%7D%7BBase%7D)
In the given triangle,
![\tan (38^\circ) =\dfrac{6}{a}](https://tex.z-dn.net/?f=%5Ctan%20%2838%5E%5Ccirc%29%20%3D%5Cdfrac%7B6%7D%7Ba%7D)
Multiply both sides by a.
![\tan (38^\circ)\times a=6](https://tex.z-dn.net/?f=%5Ctan%20%2838%5E%5Ccirc%29%5Ctimes%20a%3D6)
Divide both sides by ![\tan (38^\circ)](https://tex.z-dn.net/?f=%5Ctan%20%2838%5E%5Ccirc%29)
![a =\dfrac{6}{\tan (38^\circ)}](https://tex.z-dn.net/?f=a%20%3D%5Cdfrac%7B6%7D%7B%5Ctan%20%2838%5E%5Ccirc%29%7D)
The value of a is
.
Therefore, the correct option is b.