Answer:
B= 133° C= 47°
Step-by-step explanation:
As shows on the right it's 133°
A= 133°
c+a =180° -a
= 180° -133°
=47°
a and c complement each other and
b= a = 133°
a and b are vertical angles
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Answer:
5 meters
Step-by-step explanation:
Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.
c = √( a² + b² )
c² = a² + b²
b² = c² - a²
b = √ ( c² - a² )
b = √ ( 13² - 12² )
b = 5 meters
Correct me if I'm wrong. I hope it helps.
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 

Add 7 on both sides, we get

Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get

Multiply by
on both sides, we get

Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,

Therefore Line 1 and Line 4 are parallel lines.
Answer:
you saved $3.20
Step-by-step explanation:
16 x 20/100
16 x 0.2
= 3.20
so 16-3.20= 12.80
final price is 12.80
Answer:
Step-by-step explanation:
In y = mx + b form, the slope can be found in the m position
y = 7/6x + 2/3......slope(m) = 7/6 or 1.167
y = 7/5x + 7/5....slope(m) = 7/5 or 1.4
y = 6/5x + 11/5...slope(m) = 6/5 or 1.2
y = 5/4x + 15/4.....slope(m) = 5/4 or 1.25
so the greatest rate of change would be B. y = 7/5x + 7/5 with a slope of 7/5