Answer:
Step-by-step explanation:
l║m and line t is the transversal line intersecting these parallel lines.
9). If m∠7 = 100°,
m∠3 = m∠7 = 100° [Since, ∠3 and ∠7 are alternate interior angles]
10). m∠7 = 95°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - m∠7
m∠6 = 180° - 95°
m∠6 = 85°
11. m∠1 = 120°
m∠1 = m∠5 = 120° [Alternate exterior angles]
12. m∠4 = 20°
Since, m∠4 = m∠6 = 20° [Vertically opposite angles]
And m∠6 + m∠7 = 180° [Consecutive interior angles]
20° + m∠7 = 180°
m∠7 = 160°
13. m∠3 = 140°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - m∠3
= 180° - 140°
= 40°
m∠6 = m∠8 = 40° [Corresponding angles]
14. m∠4 = 30°
m∠4 + m∠1 = 180° [Consecutive exterior angles]
m∠1 = 180° - 30°
m∠1 = 150°
15. m∠4 = 40°
m∠4 = m∠2 = 40° [Corresponding angles]
16. m∠7 = 125°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - 125°
= 55°
m∠6 = m∠4 = 55° [Vertically opposite angles]
17. m∠1 + m∠3 = 230°
Since, m∠1 = m∠3 [Corresponding angles]
m∠3 + m∠3 = 230°
m∠3 =
= 115°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - 115°
m∠6 = 65°
The answer is -0.36.
-0.355 is -0.360 when rounded to the nearest hundredths.
Answer:
b=2
Step-by-step explanation:
we have
9x+12y=21 -----> equation A
6x+8y=7b ----> equation B
we know that
If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B
Multiply equation B by 1.5 both sides
1.5*[6x+8y[=7b*1.5
9x+12y=10.5b ----> equation C
Compare equation A and equation C
9x+12y=21 -----> equation A
9x+12y=10.5b ----> equation C
For the equations to be equal it must be fulfilled that
21=10.5b
solve for b
b=21/10.5
b=2
Answer:
2(or 2/1 if they are being annoying and make you do a fraction)
Step-by-step explanation:
and the equation is y=2x-40