Answer:
∠ L = 109°
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent.
Thus ∠ J = ∠ G , substitute values
3x + 12 = 2x + 19 ( subtract 2x from both sides )
x + 12 = 19 ( subtract 12 from both sides )
x = 7
Then
∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°
∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°
By the sum of angles in a triangle = 180°, then
∠ F = 180° - (33 + 38)° = 180° - 71° = 109°
∠ F and ∠ L correspond , thus
∠ L = ∠ F = 109°
i don't know
Step-by-step explanation:
Answer:
Step-by-step explanation:
they want to know a point on the line... that has a gradient ( think slope ) of -1/3 and has the point of (-2,5) on it. So find the formula for that line
with the point slope formula y-y1 = m(x - x1)
plug in what we know
y - 5 = - 1/3 (x -(-2))
y - 5 = -1/3(x+2)
y - 5 = -1/3x - 2/3
y = - 1/3x - 2/3 + 5
y = - 1/3x + 4 1/3
y = -1/3x + 13 / 3
Now use your formula to find any new point plug in 1 for x ( b/c it's easy)
y = 12/3 when x= 1. so ( 1, 4 ) is another point on the line :)
don't forget to show your work :P
To add 1/10 and 8/100, they must have the same denominator.
To do this, multiply 1/10 by 10/10 (which equals one, so it doesn't change the value of the fraction).
Now you have 10/100 and 8/100. To add them, simply add the numerators and keep the denominators the same.
This results in 18/100, which can be simplified to 9/50.
Calculator gives me 0.6153846154
