Lines <em>a</em> and <em>b</em> are parallel, so lines <em>p</em>, <em>q</em>, and <em>t</em> are considered to be transversals. To solve this, you make use of the fact that alternate interior angles are equal, as are alternate exterior angles, as are corresponding angles. Of course any linear pair of angles is supplementary.
∠1 = 90° — corresponding angle to the right angle above it
∠2 = 68° — the sum of 22° and angles 1 and 2 is 180°
∠3 = 112° — supplementary to angle 2 (and the sum of 22° and 90°, opposite interior angles of the triangle)
∠4 = 112° — equal to angle 3
∠5 = 68° — equal to angle 2; supplementary to angle 4
∠6 = 56° — base angle of isosceles triangle with 68° at the apex; the complement of half that apex angle
∠7 = 124° — supplementary to the other base angle, which is equal to angle 6; also the sum of angles 5 and 6
∠8 = 124° — alternate interior angle with angle 7, hence its equal.
<span>9v^2=25
v^2 = 25/9
v^2 = (5/3)^2
v = + 5/3 and v = -5/3
hope it helps</span>
Answer:
Step-by-step explanation:
We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.
We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.
Let's plug all of this back into the first equation y=mx+b.
That's the answer to this problem.
I hope this helps.
Answer:
4
Step-by-step explanation:
2x+19=x+23
We simplify the equation to the form, which is simple to understand
2x+19=x+23
We move all terms containing x to the left and all other terms to the right.
+2x-1x=+23-19
We simplify the left and right sides of the equation.
+1x=+4
We divide both sides of the equation by 1 to get x.
x=4
I’m not sure I’m looking for it
