Answer:
13.2 miles
Step-by-step explanation:
To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.
(5.5 + 3.5)² + b² = 15²
9² + b² = 15²
81 + b² = 225
b² = 144
b = 12
Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).
5.5² + 12² = c²
30.25 + 144 = c²
174.25 = c²
13.2 ≈ c
Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.
Hey there!
In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.
This means...
∠Z≅∠X
∠Y≅∠W
∠V≅∠V
Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.
For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.
For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.
For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y
Therefore, our answer is D) ∠Z≅∠X and ∠W ≅ ∠Y.
I hope this helps!
Answer:
c. 18
Step-by-step explanation:
First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.
35*18=630
15*10=150
Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left
10*30=300
630+150+300=1080
1080/60=18
Hence, the answer is C(18)
M[n(x)] = 4(x - 10) - 11 = 4x - 40 - 11 = 4x - 55
