In tue picture, we can see 2 triangles and they already labeled 2 congruent sides. We also see that the line in the middle is being shared between the 2 triangles, making the side equal. Using the SSS theorem, we can prove that these teiangles are congruent to each other. Hope this helps.
Answer:
(x+3)^2 + (y-2) ^2 = 25
Step-by-step explanation:
Equation of a circle: (x-h)^2 + (y-k)^2 = r^2
Center at (h,k)
Radius=r
Answer:
Step-by-step explanation:
An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.
The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.
1. Area of ∆OCD
CotOCD = OD/OC
cot30 = CD/6
√3 = CD/6
CD = 6√3
A= ½bh
A = ½ × 6√3 × 6 = 18√3 in²
2. Area of ∆ABC
A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²
We are told donut sales is described by an arithmetic sequence of 6 terms whose sum is 150 and common difference is 6. If we split this sequence into two groups of 3 terms, the sum of the first group will differ from the sum of the second group by
(number of terms)²×(common difference) = 3²×6 = 54
Then if x represents the number of donuts sold in the first 3 hours, the total number of donuts sold is
x + (x + 54) = 150
2x = 150 - 54
x = 96/2 = 48
The number of donuts sold in the first three hours is 48.
Answer: the blue rectangle one, the second green one or the pink one. hard to decide between the last two. good luck!
Step-by-step explanation:
learned in 2nd grade
