From the given attachment, the triangles are similar.
45/(6x + 4) = 90/(4x + 56)
45(4x + 56) = 90(6x + 4)
180(x + 14) = 180(3x + 2)
3x - x = 14 - 2
2x = 12
x = 12/2 = 6
Length of midsegment = 6x + 4 = 6(6) + 4 = 36 + 4 = 40
Answer:
<u>Keywords:</u>
- n students
- divided into
- 6 groups
- expression
Our expression would be:
n ÷ 6
It is simple! The problem said to "Write the expression represented by n students divided into 6 groups." The bolded words/letters/numbers are the main keywords.
I hope this helps!
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer: 545,846,230
Step-by-step explanation: To round 545,846,229 to the nearest ten, we first find the digit in the rounding place which in this case is 2 in the tens place.
Next, look at the digit to the right of the rounding place which in this case is 9. The rules of rounding tell us that if the digit to the right of the rounding place is less than 5, we round down but if the digit to the right of the rounding place is greater than or equal to 5, we round up.
In this problem, since 9 is greater than or equal to 5, we round up. This means we add 1 to the digit in the rounding place so 2 becomes 3 and we change all digits to the right of the rounding place to 0.
Therefore, 545,846,229 rounded to the nearest 10 is 545,846,230.
Answer: the slope should be -7/3
We find<span> the first derivative of the curve, and evaluate it at </span>x<span>=1 (which we will use to obtain the </span>slope<span> of the </span>line tangent<span> to the curve at (1,−1)). So we have a </span>point<span> on the </span>tangent line: (x0,y0<span>)=(1,−1) and the </span>slope<span> of the </span>line tangent<span> at that </span>point<span>: m=−13.</span>