Answer:
x=3/8, y=-7/8. (3/8, -7/8).
Step-by-step explanation:
y=-5x+1
y=3x-2
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-5x+1=3x-2
-5x-3x+1=-2
-8x+1=-2
-8x=-2-1
-8x=-3
8x=3
x=3/8
y=3(3/8)-2=9/8-2=9/8-16/8=-7/8
Answer:31.9
Step-by-step explanation:
4x+1+57=90
4x+58=90
4x=32
X=8
Answer:
2)105°
Step-by-step explanation:
In this parallelogram, J should be congruent to L (J=L). We can solve this problem if we find out the value of L.
The sum of the adjacent angle of the parallelogram will be equal to 180 degrees, so the equation is
L + M = 180
M=180- L
If L exceeds M by 30 degrees then the equation will be
L=M +30
If you combine both equations, it will be
L+30 = M +30
L+30 = (180- L) +30
L + L= 180 + 30
2L= 210
L=105
Answer:
3 ft.
Step-by-step explanation:
When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:
a²(opposite) + b²(adjacent) = c²(hypotenuse)
The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.
We have the measurements except for the adjacent. So it will be:
c² - a² = b²
5² - 4² = b²
25 - 16 = b²
9 = b²
√9 = b
b = 3 ft
The answer is 3 ft.