A. Similar triangles have equal angles even though they're not the same size that was similar means So then
X^2-5x=4x+36
X^2-5x-4x-36=0
X^2-9x-36=0
(X-12)(x(+3)
X=12. X=3
Angle C and angle F are equal
So 4(12)-5=43
Answer:
A
Step-by-step explanation:
Choice A is right because there is no dot above the two.
Choice B is not right because there is 2 dots above 1 and not 3.
Choice C is not right because the data doesn't go passed 5 to get to 8
Choice D is not right because it was 5 games because there is 5 dots above 3
Answer:
925
Step-by-step explanation:
In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:
(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)
One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:
1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)
= 325
Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):
3 × 325 = 975
At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:
975 + ((-2) × 25)
= 975 - 50
= 925
1 liter = 1 dm³ = 1000 cm³.
Therefore 5 cm³ = 5 / 1000 liter = 0.005 liters.
Green eyes.
First, we'll find the area of the large section, including the smaller section that is white.
Area of a circle: pi x r^2
A = pi x 7^2
A = 49pi x 120/360
A = 49/3 pi cm^2
Now, we'll find the area of the small section.
A = pi x 3^2
A = 9 pi x 120/360
A = 3pi cm^2
All that's left to do now is subtract.
49/3 pi - 3 pi
40/3 pi cm^2
(or 13 1/3 = 13.33 cm^2)
Hope this helps!
