Answer:
1. Given
2, Exterior sides on opposite rays
3. Definition of supplementary angles
4. If lines are ||, corresponding angles are equal
5. Substitution
Step-by-step explanation:
For the first one, it is given as shown in the problem. Also in the figure you can see that line s is parallel to line t.
2. ∠5 and ∠7 are adjacent, they share a common side. Their non-common side are rays that go in a direction opposite of each other. Also you can see that they form a straight line, which means that they are supplementary.
3. Supplementary angles simply put are angles that sum up to 180°. You know this for sure because of proof 2, specifically the part that they form a straight line. The measure of a straight line is 180°.
4. Corresponding angles are congruent. These are angles that have the same relative position when a line is intersected by parallel lines. You have other example in the figure like ∠2 and ∠6; ∠3 and ∠7.
5. This is substitution because ∠1 substituted ∠5 in this case. Since ∠1 is equal to ∠5, then it can substitute it in the equation given in step 3. This means that ∠1 and ∠7 are supplementary as well.
Answer:
87%>0.25>21%>0.2
Step-by-step explanation:
87% converted to decimal form is 0.87 which is greater than 0.25 and 21% converted to decimal form is 0.21 which is also greater than 0.2 which can also be interpreted as 0.20! Hope this helps!
I can't figure this one out but download Cymath it will help with this problem.
Answer:
The answer to your question is y = 4x + 2
Step-by-step explanation:
Data
slope = m = 4
Point = (1, 6)
Process
1.- Write the equation of the line in the point slope form.
y - y1 = m(x - x1)
2.- Identify the values of x1 and y1
x1 = 1 y1 = 6
3.- Substitution
y - 6 = 4(x - 1)
4.- Simplification
y - 6 = 4x - 4
5.- Solve for y
y = 4x - 4 + 6
6.- Result
y = 4x + 2
