(x-7)/(7-x) if you factor out -1 from the numerator you get:
-(7-x)/(7-x) which is equal to:
-1
Answer:
The value of the y-coordinate is -706
Step-by-step explanation:
The equation of a straight line is;
y = mx + c
where m is slope and c is t-intercept
Given the slope, we can write the equation as;
y = -79x + c
we need to get c
Just put in the x and y values of the given point
X = -6 and y = 5
5 = -79(-6) + c
5 = 474 + c
c = 5-474 = -469
So the complete equation of the line would
be ;
y = -79x - 469
To get the y-coordinate of the point, just insert the x value into the equation;
y = -79(3) - 469
y = -237 - 469 = -706
3 reds in the 10 remaining cards
so that is 30% are red
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
