Answer:
12
Step-by-step explanation:
There are 4 circles, 6 stars. The ratio is 4/6 = 2/3
if there is 8 circles in order to get the same ratio 8/x = 2/3 => x = 12
we have: ∠P + ∠Q + ∠R = 180°
<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°
<=> 4x – 14 + 5x + 6 + x - 2 = 180°
<=> 10x - 10 = 180°
<=> 10x = 190
<=> x = 19°
So: ∠R = (x - 2)° = (19 - 2)° = 17°
ok done. Thank to me :>
First, isolate y on one side to find some information about the graph.
3x+4y=-10
4y=-10-3x
y=(-10-3x)/4
Now find out the x and y intercepts of this equation;
(0)=(-10-3x)/4
4x0=-10-3x
0=-10-3x
3x=-10
x=-10/3 or -3.3333 (x-intercept)
y=(-10-3(0))/4
4y=-10
y=-10/4 or -5/2 = -2.5 (y-intercept)
Plot these points onto your graph and connect the lines.
I have attached a graph below, I'm sorry I couldn't do it on paper.
Hope I helped :)
I'm assuming you want us to solve for the unknown variable z

Combine like terms on the right side

Use the distributive property on the left side

Add both sides by 20 to cancel out the "-20" on the left side

Divide both sides by 10

That is the value of the known variable, z, in this equation. Let me know if you need any clarifications, thanks!
~ Padoru