Answer:
A
Step-by-step explanation:
The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.
Triangle RST:
48 + 73 = 121
180 - 121 = 59
Angle R = 59
Angle T = 48
Angle S = 73
59 + 48 + 73 = 180
Triangle ABC:
73 + 59 = 132
180 - 132 = 48
Angle A = 59
Angle B = 73
Angle C = 48
59 + 48 + 73 = 180
Answer:
4/5 ft
Step-by-step explanation:
Assuming both boxes need to fit completely on the shelf, Ebony should make it as wide as the largest of the boxes.
In decimal, 4/5 = 0.80 and 3/4 = 0.75, so 4/5 > 3/4.
The shelf should be 4/5 ft wide.
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2
/5
Step: Substitute 2/
5 for x in y=4x−6:
y=4x−6
y=4 (
2/
5
) −6
y= −22
/5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
From multiplying the binomial expression
(n+3)(n-9)
It would be n^2 - 9n + 3n - 27 or simplified
n^2 -6n - 27.
