If you extend the line from 1 through the parallel line you create a transversal and a triangle.
Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.
144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.
The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.
12+48+36=96, it only says that there are one in each box so that means you only have to add them once.
Answer: Stephanie is the fastest
Step-by-step explanation:
Here we have to find who runs faster:
Liz:
Katie:
Stephanie:
Noah:
As we can see after comparing, Stephanie is the fastest, since she travels more distance in less time.
Answer:
$14,362
Step-by-step explanation:
The computation of the minimum unit cost is shown below:
Given that
0.6x^2 - 108x + 19,222
And as we know that the quadratic equation form is
ax^2 + bx + c
where
a = 0.6
b = -108
c = 19,222
Now for determining the minimal cost we applied the following formula which is
= 90
Now put these values to the above equation
= 14,362
Answer:
The amount saved is $3,010
Step-by-step explanation:
Here, we want to calculate the amount saved
On the normal 4%, the amount charged is
4/100 * 172,000 = $6,880
For the 2.25%, we have
2.25/100 * 172,000 = $3,870
The amount saved is thus;
$6,880-$3,870
= $3,010
