Answer:
Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.
Step-by-step explanation:
Given:
AD ⊥ AB 
CD
BC ⊥ AB CD
AD = BC
∴ ∠ A = ∠ B = ∠ C = ∠ D =90°
∠ EDC = ∠ ECD
Solution
∠ C = ∠ BCE + ∠ ECD⇒ equation 1
∠ D = ∠ ADE + ∠ EDC⇒ equation 2
∠ C = ∠ D (given)
Substituting equation 1 and 2 in above equation we get
∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC
But ∠ EDC = ∠ ECD (given)
∴ ∠ ADE = ∠ BCE
ED = EC (∵ base angles are same triangle is isosceles triangle)
Now, In Δ ADE and Δ BCE
AD =BC
∠ ADE = ∠ BDE
ED = EC
∴ By Side Angle Side congruent property
Δ ADE ≅ Δ BCE
We can always do a prime factoring of it, and check
50 = 2*5*5
2*5²
a perfect square, so-called, is the resulting number of a squared value, well 50 is not the result of anything squared, is the result of 3 factors, in this case 2,5 and 5.
a perfect square will be something like say 64, or 144, because
64 = 8*8
8²
144 = 12*12
12²
Answer: 667 pounds
Step-by-step explanation:
1 US Ton is equivalent to 2,000 pounds.
If this larger grouper weighs 1/3 of a ton, it's weight in pounds will be:
= Weigh in tons * 2,000
= 1/3 * 2,000
= 666.67
= 667 pounds
Answer:
solid...(-3,0)(-4,-1)...shaded below the line
slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1
y = mx + b
-1 = 1(-4) + b
-1 = -4 + b
-1 + 4 = b
3 = b
this line is : y < = x + 3 <== (thats less then or equal)
====================
solid...(1,1)(2,-1)...shaded below the line
slope = (-1-1) / (2-1) = -2/1 = -2
y = mx + b
1 = -2(1) + b
1 = -2 + b
1 + 2 = b
3 = b
Step-by-step explanation:
11ft 8in + 2ft 9in =14ft 5in
