Question 11a)
We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)
We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)
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Question 11b)
We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)
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Question 11c)
We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF
We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)
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Question 11d)
We do not have enough information to tell whether this shape congruent or not
Answer:
What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000
To make the statement above true, we would need to divide 35,000 by 7 since the answer would be 10% of the number we need. Once we do this we get 5000 which is 10% now we multiply 5000 by 10 to get 100% and we get 50.000 once we give this amount to the person and 30% is taken away they are left with 35,000
Answer:
35.w/g=m
36. P=1/2Q-15
37. R=IV
38. b=-mx+y
39. a) t=-d-e+f
b) t=19.175
40. No, X=-2.4
Step-by-step explanation:
Explanation for 40:
2(x-4)-4x=-6x+9x+4
first do the parentheses
2x-8-4x=-6x+9x+4
next combine like terms
-2x-8=3x+4
add 2x to each side
-8=5x+4
subtract 4 from each side
-12=5x
divide both sides by 5
x=-2.4
9x+72 = 4x+112
5x = 40
x = 8
Answer:
The length of the rectangular playing field is 84 yards and the width is 44 yards
Step-by-step explanation:
Let
x ------> the length of the rectangular playing field
y -----> the width of the rectangular playing field
we know that
The perimeter of the rectangular playing field is equal to


so
------> equation A
we have that
-----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y





Find the value of x

therefore
The length of the rectangular playing field is 84 yards and the width is 44 yards