350/1000
=0.350
-------------------------------
1/1000 is 0.001
Therefore, 350*(1/1000)=350*(0.001)=0.350
Basically slope is how steep a straight line is and an intercept is where a line crosses the x-axis and y-axis. It's easier to use it than it is to explain it. In a slope-intercept formula (y= mx+b) m = slope and b= y-intercept. With this info you can solve different problems and graph equations.
Answer:
B
C
F
D
H
A
G
E
Step-by-step explanation:
Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.
The first statement is always the given.
Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.
Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.
Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.
Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.
Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.
The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.
The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.
First, you have to distribute the -5 on the left side only to make the equation simpler to solve.
-5x+30=10x
Second, you add 5 to both sides which is kind of like combining like-terms.
30=15x
Finally, you divide by 15 on both sides to get x by itself which will leave you with the solution to the equation.
2=x
That’s it.