Answer: Weeeell, 35
Step-by-step explanation:
1. By definition, the perimeter of a triangle is the sum of the lenght of each side.
2. Then, the perimeter of the triangle LMK is:
P_{LMK}=14+17+11\\P_{LMK}=42
3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle LMK by this scale factor.
4. Then, you have that the perimeter of the triangle GHJ is:
P_{GHJ}=42*\frac{5}{6}=35
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The width of the pathway is 3m
Step-by-step explanation:
Let the width of the pathway be 'w'
The area will be 130 square meters
The dimensions of the garden is 10 x 7
Area = (10+w) (7+w)
130 = 70 + 17w + w^2
w^2 + 17w - 60 = 0
w^2 +20w - 3w - 60 = 0
w ( w + 20) - 3 ( w + 20) = 0
(w + 20) (w - 3) = 0
w = -20 ( or) w = 3
w is the width and cannot be negative.
So, w = 3 meters
The width of the pathway is 3m
Answer:
90 and 71 or 80.5
Step-by-step explanation:
find middle two numbers
add them together
divide by 2
Answer: (m-21)(m+1)
Step-by-step explanation:
To factor this trinomial, find two numbers that multiply to -21 and add to -20:
(-21)(1)=-21
-21+1=-20
They are -21 and 1.
Add -21 and 1 to m to get both factors:
(m+(-21)) and (m+1)
(m-21) and (m+1)
Multiply them to get the answer:
(m-21)(m+1)
Supplementary = 180°
Complementary = 90°
180° - 52° = 128°
90° - 52° = 38°
Hope this Helps!!
