X=20
AD= 23
DC= 23
AC= 46
The median means both sides of the line AC are equal.
Therefore: x+ 3 = 2x-17
and we can solve this for x
Subtract x from both sides
x-x = 2x-x -17
3 = x -17
Add 17 to both sides
3 +17 = x -17+17
20 = x
The length of AD is x + 3, replace x with 20:
20 + 3 = 23
The length of DC is the same as AD (because they’re separated by the median) so DC= 46
AC is the length of AD + DC,
23+23= 46.
AC= 46
Answer: The answer is 12.
Step-by-step explanation: Given that a point 'x' is lying at
on the number line. Another point 'y' is also lying at the same distance from 0 but has a numerator of 8. We are to find the denominator of 'y'.
Since 'x' is lying at
on the number line so its distance from 0 will be
![d_x=\dfrac{2}{3}-0=\dfrac{2}{3}.](https://tex.z-dn.net/?f=d_x%3D%5Cdfrac%7B2%7D%7B3%7D-0%3D%5Cdfrac%7B2%7D%7B3%7D.)
Let the denominator of 'y' be p, then its distance from 0 will be
![d_y=\dfrac{8}{p}-0=\dfrac{8}{p}.](https://tex.z-dn.net/?f=d_y%3D%5Cdfrac%7B8%7D%7Bp%7D-0%3D%5Cdfrac%7B8%7D%7Bp%7D.)
According to the given information, we must have
![d_x=d_y\\\\\\\Rightarrow \dfrac{2}{3}=\dfrac{8}{p}\\\\\\\Rightarrow p=\dfrac{8\times 3}{2}=12.](https://tex.z-dn.net/?f=d_x%3Dd_y%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B8%7D%7Bp%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20p%3D%5Cdfrac%7B8%5Ctimes%203%7D%7B2%7D%3D12.)
Thus, the denominator will be 12.
First of all you should demand your teachers stop teaching you algebra in geometry class.
1
Linear pairs (and this is the geometry part) are angles that add to 180 degrees, supplementary angles formed by two lines crossing.
3n + 21 + 2n + 34 = 180
5n + 55 = 180
5n = 125
n = 25
mEFG = 3n + 21 = 96 degrees
mCFH = 2n + 34 = 84 degrees
These are indeed supplements, adding to 180 degrees.
2
ACD is a right angle because it makes a linear pair along DF with another right angle.
So
mACB + mBCD = 90 degrees
mBCD = 90 - mACB = 90 - 68
mBCD = 22 degrees
Answer:
So that means length of the bike is approx 5.7 rulers.
Step-by-step explanation:
the question says to estimate how many 12-inch rulers will be about the same length as a bike. In other words we have to measure the length of bike by in terms of ruler like 3 ruler length or 5 rular length etc.
Type of bike is not mentioned so i'm going to use bicyle.
From internet I found that approx lenght of a bike ( bicycle) is = 68 inches.
Given that 1 ruler = 12 inches
So number of rulers that can fit into 68 inches can be found by dividing 68 by 12
68/12 = 5.7
The 3 sides should obey the Pythagorean Theorem
29^2 = 21^2 + 18^2
29^2 does not equal 441 + 324 = 765
29^2 = 841