How do I find BCD? Please help
Answers
BCD and ECF are opposite angles and so are equal. If they are equal, then their equations are equal, and if their equations are equal, you can set the equations against each other to find x. See below, and hope this helps!
(10x - 20)° = (8x + 4)°
This is basic algebra. (I'm taking off the degree sign for now to make it simpler, but be sure to add it to your answer at the end.) Group like terms.
10x - 20 = 8x + 4
2x = -16
x = -8
Once you've found "x", plug "x" into the equation for BCD and solve. I'll get you started:
(10 × -8) - 20
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Answers
Answers
Answer:
1. 300%
2. 108
3. 60
Step-by-step explanation:
Hope this helps!
26. 33.33% is 37 percent of 11
27. 48%
28. 60 seeds
x^3 - 57x - 56 = 0, x = -1
x = _______ (smallest value)
x = _______
x = _______ (largest value)
Answers
It works. When you plugged -1 into x, you got 0 back and that's what the factor theorem says.
Now let's test it with synthetic division. If we divide x+1 into the original equation and get a remainder of 0, then we should be good. I'll write it up on Paint and upload it.
As you can see, our remainder is 0 and our quotient is
Hope this helps and i'm so sorry for the long reply. I forgot to put 0x^2 when I was doing synthetic division. :/ and also sorry for the unclear paint image. you can zoom in if you want. it's nothing really important it just shows me doing the synthetic division part where i divide x+1 into the original equation.
Verify if x= - 1 is a solution of this equation.
(-1)* [(-1)^2 - 57]=56
(-1)[1 - 57] = 56
(-1)*(-56) = 56
56 =2*28 = (-2)*(-28) = 4*14 = (- 4)*(-14) = 8*7= (-8)*(-7)
x=8 ⇒ 8*(64-57)=56 ok⇒ x=8 is a solution
x= -7 ⇒ (-7)*(49-57)=56 ok ⇒ x= - 7 is a solution
the smallest x= -7
x= - 1
the largest x= 8
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Similar triangles have the same angles, but don't necessarily have the same length of sides.
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Answer:
19° and 161°
Step-by-step explanation:
A - an angle
S - its suplementary angle
A = S - 142°
Suplementary angles add to 180° so:
A + S = 180°
S - 142° + S = 180°
2S = 322°
S = 161°
A = 161° - 142° = 19°
Answers
Answer:
the answer is below
Step-by-step explanation:
Demand seems to be based on price.
Therefore we must consider two things:
that "x" is equal to the price and that "y" is equal to the average attendance.
Thus:
the two points would be:
(x1, y1) = (10,27000)
(x2, y2) = (6.39000)
The slope of a straight line is given by:
m = (y2-y1) / (x2-x1)
we replace:
m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000
The equation of a straight line can be expressed like this
y = m * x + b.
where
m is the slope and b is the y-intercept.
we replace
y = -3000 * x + b.
To solve for b, replace x and y with the value of one of the points on the line.
We choose (6.39000). and we replace:
39000 = -3000 * 6 + b
39000 = -18000 + b
39000 + 18000 = b
b = 57000.
if we replace we have:
the equation becomes y = -3000 * x + 57000
since it is the demand and * x is the price.
t = d (x), therefore the equation becomes
d (x) = -3000 * x + 57000.
d (x) = 57000 - 3000 * x.
when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.
So:
when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.
when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.
Final Answer:
The demand function D(q) we are looking for is given by D(q) = -3q + 351,000.
Explanation:
We're looking for a linear demand function D(q) of the form D(q) = aq + b, where q is the quantity or number of spectators.
We have two pieces of information here:
1) When the ticket price is $10, the average attendance is 27000, which gives us the equation: 10 * 27000 = a * 27000 + b, i.e 270,000 = 27,000a + b.
2) When ticket price is lowered to $6, the average attendance rose to 39000, which gives us the equation: 6 * 39000 = a * 39000 + b, i.e 234,000 = 39,000a + b.
Let's solve this system of equations to find the values of a and b.
To isolate a, we can subtract the second equation from the first: 270,000 - 234,000 = 27,000a - 39,000a, this simplifies the equation to 36,000 = 12,000a.
So, we divide both sides by 12,000 to solve for a:
a = (270,000 - 234,000) / (27,000 - 39,000) = -3.
So, the coefficient of q in our demand function is -3.
Now, let's find b by plugging in the value of a into the first equation.
Thus, b is equal to 270,000 - (27,000 * -3), which gives
b = 270,000 + 81,000 = 351,000.
At this point, we have the values for our coefficients a and b as -3 and 351,000, respectively.
Therefore, the demand function D(q) we are looking for is given by D(q) = -3q + 351,000.
To know more about demand function:
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