Answer:
The equation of line g would be
y = 98x - 783
Step-by-step explanation:
The equation for line f can be written as y = 98 x − 10
Recall, the slope intercept equation is written as
y = mx + c
Where m is the slope
c is the intercept.
Comparing with the giving equation,
The slope, m = 98
Line g includes the point (8, 1)and is parallel to line f .
If two lines are parallel, then they have the same slopes.
Since line g is parallel to line f,
Slope of line g = 98
From y = mx + c, considering the points (8, 1)
1 = 98×8 + c
1 = 784 + c
c = 1 - 784 = -783
The equation of line g would be
y = 98x - 783
∠13 = 70.5° [Vertically Opposite angles]
∠13+∠14=180° [Linear pair]
70.5°+∠14=180°
∠14=180-70.5
∠14=109.5
∠15=∠14=109.5 [Vertically opposite angles]
∠13=∠12= 70.5° [Co-interior angles]
∠12=∠10= 70.5° [Vertically Opposite angles]
∠14=∠11=109.5 [Co-interior angles]
∠9=∠11= 109.5 [Vertically opposite angles]
∠13=∠7= 70.5° [Alternate interior angles]
∠7=∠5=70.5° [Vertically Opposite angles]
∠7+∠8=180° [Linear Pair]
70.5+∠8=180
∠8=180-70.5
∠8=109.5°
∠8=∠6= 109.5° [Vertically Opposite angles]
∠6=∠3=109.5° [Co-interior angles]
∠7=∠2=70.5° [Co-exterior angles]
∠2=∠4= 70.5° [Vertically Opposite angles]
∠3=∠1= 109.5° [Vertically Opposite angles]
<h3>Measures of all angles in sequence⤵️</h3>
- ∠1= 109.5°
- ∠2= 70.5°
- ∠3= 109.5°
- ∠4= 70.5°
- ∠5= 70.5°
- ∠6= 109.5°
- ∠7= 70.5°
- ∠8= 109.5°
- ∠9= 109.5°
- ∠10= 109.5°
- ∠11= 70.5°
- ∠12= 109.5°
- ∠13= 70.5°
- ∠14= 109.5°
- ∠15= 109.5°
- ∠16= 70.5°
Answer:
Step-by-step explanation:
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Answer:
reciprocal
Step-by-step explanation:
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Answer:
2 feet
Step-by-step explanation:
Since each piece of wood is 2/3 of a foot tall, and there are two pieces of wood stacked on top of each other, you need to add 2/3 twice to get the total height of the pile.
2/3 + 2/3 = 6/3
6/3 = 2
Therefore, the pile is 2 feet tall.