Answer:
12
Step-by-step explanation:
The way the angles are labeled tell you that they are all congruent. The two triangles you see here also share the side that joins them. Then by the angle-side-angle postulate, the two triangles are congruent, so x + 23 = 13, or x = -10.
Answer: 
This is the same as writing y < (-1/2)x+3
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Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing 
We shade below the dashed line to represent the inequality
. Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.
<span>Ricardo ended up with 18 golf balls. If he lost 4 on the course today, he then had 22 to start with today. This 22 total includes a box of 12 balls he bought today. This means he had 22 - 12 yesterday, making 10. Yesterday he lost 6 while playing. Ricardo had 16 balls to start with.</span>
Answer:
BC^2=10^2+30^2
Step-by-step explanation:
Using pythagorean theorem




