Answer:
39 degrees
Step-by-step explanation:
Add: 39+54+48=141
180 (degrees of a straight angle) minus 141=39
39 degrees
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Answer:
x = 67.50 ft
Step-by-step explanation:
Consider, ΔMAB and ΔMNP,
∠M = ∠M (Common)
Given AB║NP and let MN as transversal,
∠MAB = ∠MNP (alternate angle)
Also, Given AB║NP and let MP as transversal,
∠MBA = ∠MPN (alternate angle)
Therefore, ΔMAB ≅ ΔMNP (By AAA similarity )
Thus, by CPCT,
consider first two ratios,
Substitute the values, MA = MN - AN = 49.5 ft
On solving for x , we get, x = 67.50 ft
Thus, value of x is 67.50 ft
Answer:
x = 22°
the angles are: 63° and 117°
Step-by-step explanation:
a linear pair of angles total together to be 180°
so:
3x - 3 + 5x + 7 = 180
combune like terms:
8x = 176
divide both sides of the equation by 8:
x = 22°
the angles are: 63° and 117°
Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.
Now compare this form with the tiven equation y=4x-9 to get the value of m.
So, m= 4.
Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.
Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).
The point intercept form of a line is,
(y-y1)=m(x-x1)
So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,
y-3=4(x-(-5))
y-3=4(x+5) Since -(-5)=+5
y-3=4x+20 By distributing property.
y=4x+20+3 Adding 3 to each sides.
y=4x+23
So, the slope-intercept form of that parallel line is y=4x+23.
