8x-41+9x+17= 180 (becuase they lie on a straight line)
17x-24=180
Move twenty four to the other side as a positive
17x=204
Divide both sides by 17
X is equal to 12
Answer:
3/4
Step-by-step explanation:
You add all the cards in the boxes = 3+2+7 = 12
Probability of picking up a yellow or blue card = 2+7 =9
Hence:
9/12
simplify: 3/4
The total number of common tangents that can be drawn to the circles is 2.
<h3>What is a tangent?</h3>
A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.
A tangent to a circle can be described as the straight line that touches the circle at only one point.
Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.
Read more on the tangent here:
brainly.com/question/12926708
#SPJ1
Answer:
x = -7
, y = -5
Step-by-step explanation:
Solve the following system:
{3 y - 3 x = 6 | (equation 1)
3 x + 5 y = -46 | (equation 2)
Add equation 1 to equation 2:
{-(3 x) + 3 y = 6 | (equation 1)
0 x+8 y = -40 | (equation 2)
Divide equation 1 by 3:
{-x + y = 2 | (equation 1)
0 x+8 y = -40 | (equation 2)
Divide equation 2 by 8:
{-x + y = 2 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract equation 2 from equation 1:
{-x+0 y = 7 | (equation 1)
0 x+y = -5 | (equation 2)
Multiply equation 1 by -1:
{x+0 y = -7 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = -7
, y = -5