Let us say the price of a table is and a price of a chair . Using this terminology we can say that the cost of 2 chairs and 5 tables is . We have a second equation though, from a table being 30 more than the price of a chair. Using this we can solve the system of equations. I think substitution is the quickest way to do this. Plug x from our second equation into the first equation.
This will simplify to the price of a chair is Rs 320. And add Rs 30 to that and we can find that the price of a table is Rs 350.
It is always good to check. So go ahead and check to see that the first equation works (we know the second equation works just by eyeballing. And it looks like the cost is Rs 2300! Hooray!
Hello.
To find the value of the angle x, you need to use the Law of Sines. The Law of Sines states, sin A / a = sin B / b = sin C / c.
We are given sin A = 42 degrees, side a = 22 cm, and side b = 12 cm. We can change x, to angle B in this case.
sin (42) / 22 = sin B / 12 (multiply both sides by 12)
12 sin (42) / 22 = sin B
sin^-1 B = 12 sin (42) / 22
sin B = 21.4063..
The measure of angle x is equal to about 21.4 degrees.
Answer:
Step-by-step explanation:
the opposite angles MUST add upto 180.
3x-5+2x=180
5x-5=180
x=185/5=37
A=37+5=42..
So I think 96
Step-by-step explanation:
this is not an isoceles triangle.
anyway, we need to remember 2 things :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.
so, the internal angle Q is then
180 = 50 + 55 + Q
Q = 180 - 50 - 55 = 180 - 105 = 75°
the exterior angle x at Q is then
180 = Q + x = 75 + x
x = 180 - 75 = 105°