Answer:
x = 8
y = 29
Step-by-step explanation:
By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.
Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.
Hence one can say that;
4x + 17 = y + 20
Inverse operations;
4x + 17 = y + 20
-17 -17
4x = y + 3
-3 -3
4x - 3 = y
Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.
When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.
Based on that, one can say;
5x + 9 = y + 20
Earlier it was found that;
y = 4x - 3
Now substitute that into the previous equation, and solve using simplification and inverse operations;
5x + 9 = 4x - 3 + 20
5x + 9 = 4x + 17
-9 -9
5x = 4x + 8
-4x -4x
x = 8
Back solve to find y
y = 4x - 3
y = 4(8) - 3
y = 32 - 3
y = 29
-10-8a=8-10a
+10 +10
-8a = 18-10a
+10a +10a
2a = 18
2 2
a = 9
You’re supposed to divide the 2 at the end. Hopefully this helped:)
Answer:
<h2>The required ratio is 8</h2>
Step-by-step explanation:
Volume of a sphere = where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo =
If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc =
The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo =
The required ratio is 8
Answer:
its A
Step-by-step explanation:
Trust me
Its b= -0.2 or b= 1/-5 whichever one works best