Answer:
10 blocks
Step-by-step explanation:
Given
![First = 6\ blocks](https://tex.z-dn.net/?f=First%20%3D%206%5C%20blocks)
east
Required
Determine the shortest possible distance
To better explain my solution, I've added an attachment that illustrates her movement.
Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.
So, we have:
![x^2 = 6^2 + 8^2](https://tex.z-dn.net/?f=x%5E2%20%3D%206%5E2%20%2B%208%5E2)
![x^2 = 36 + 64](https://tex.z-dn.net/?f=x%5E2%20%3D%2036%20%2B%2064)
![x^2 =100](https://tex.z-dn.net/?f=x%5E2%20%3D100)
Take positive square root of both sides
![x = \sqrt{ 100](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%20100)
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Answer:
-2/5+π+π^8
Step-by-step explanation:
1+2-3*4/5+6-7-9*0+π-π+π+π^8
3-12/5-1+π+π^8
2-12/5+π+π^8
5×2-12×1/5+π+π^8
10-12/5+π+π^8
-2/5+π+π^8
Answer:
x = -1
Step-by-step explanation:
The axis of symmetry of the graph
is x=3 but,
If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:
![x=3-4\\x=-1](https://tex.z-dn.net/?f=x%3D3-4%5C%5Cx%3D-1)
-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is
(-1 , -2) I attached an image so you can visualize clearly
Answer:
It needs that the measure of angle m<I is equal to 60 degrees to prove that the triangles are similar
Step-by-step explanation:
we know that
The SAS Similarity states that: If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar.
so
In this problem
The corresponding sides are proportional, because
![\frac{40}{20}=\frac{20}{10}\\ \\2=2](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B20%7D%3D%5Cfrac%7B20%7D%7B10%7D%5C%5C%20%5C%5C2%3D2)
It needs to be proven that the included angles are equal in both triangles
The measure of angle m<I must be equal to 60 degrees to prove that the triangles are similar