Answer:
Step-by-step explanation:
1. HI // KL , J is midpoint of HL 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. HJ ≅ JL 4. Given
5. ΔHIJ ≅ ΔLKJ 5. A S A congruent
(Angle Side Angle)
Answer:
slope=1/3
Step-by-step explanation:
y=mx+b
2=m*6+0
m=1/3
Answer:
X=2.5
Step-by-step explanation:
38÷4 = 9.5
9.5 - 7=2.5
Divide each side by four to get rid of that numbr from the elft and subtract seven from both sides to get rid of the seven so your left with x=2.5
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints
take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3
test entpoints
f(-3)=83
f(-2)=134
f(3)=-241
f(4)=-190
the min is at x=3 and max is at x=-2
Answer: option c
length = 9m
Perimeter = 26.4m
Step-by-step explanation:
A rectangle has a width of 4.2 m and an area of 37.8 m^2
We want yo determine the length of the rectangle and the perimeter of the rectangle.
The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.
The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes
2(length +width). So the perimeter of the given rectangle is
2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes
37.8= length × 4.2
Length = 37.8/4.2 = 9m
Therefore, the perimeter is
2(length + 4.2) = 2(9+4.2)
Perimeter = 2× 13.2 = 26.4m
