Total of angles in 180 so:
46+90+8x+4=180
8x=40
x=5
<h3>
After 22 days the length of the road is = 75 units.</h3>
Step-by-step explanation:
Given,
L=53 +D L = the length of road and D = number of day
After 22 days the length of the road is = (53+ 22)
= 75 units
The answer could be 3, 2, or 1
<span>4.375×10 = 43.75
</span><span>1 7/8 = 15/8 = 1.875
</span>1.428×10 = 14.28
so order from <span>Least to greatest:
</span>0.25 inches, 1.5 inches, 1 7/8 inches, 1.428×10 inches and <span>4.375×10 inches</span>
Answer:
The length of the segment F'G' is 7.
Step-by-step explanation:
From Linear Algebra we define reflection across the y-axis as follows:
,
(Eq. 1)
In addition, we get this translation formula from the statement of the problem:
,
(Eq. 2)
Where:
- Original point, dimensionless.
- Transformed point, dimensionless.
If we know that
and
, then we proceed to make all needed operations:
Translation




Reflection


Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:
![F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}](https://tex.z-dn.net/?f=F%27G%27%20%3D%20%5Csqrt%7B%285-5%29%5E%7B2%7D%2B%5B%28-1%29-6%5D%5E%7B2%7D%7D)

The length of the segment F'G' is 7.