Try it Proving the sum of the Interior Angle Measures of a
Triangle Is 180°
Given: y || z
Prove: m25+ m2 2 + m26 = 180°
Angige Lines Statements Reasons
21
23
11
25
26
m21
m23
m25
m 26
!
A
M
1
1
2
y
Reasons
2 alternate interior angles theorem
3. def. of
4. angle addition postulate
4/5
С
6 72
B
Statements
2. 21-25
3. mZ1 = m25
4. mZ1+ m2 2 + m2 3 =
mZLAM
5. m21+ m2 2 + m 23 = 180
6. 232 26
✓ 7. m3 = m26
8. m25+ m2 2 + m 26 = 180
5. def. of straight angle
6. alternate interior angles theorem
7. def. of
8. substitution
Correct! You have completed this
exercise

answer: was that a question or answer?

step-by-step explanation:

a

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

2425

step-by-step explanation: