Answer:
6.2
Step-by-step explanation:
Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.
Now, you that area for a triangle is 1/2*base*height.
To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:
![Base_{total} = Base_{empty} + Base_{orange} \\Base_{total} = 1.9ft + 3.1 ft\\Base_{total} = 5 ft](https://tex.z-dn.net/?f=Base_%7Btotal%7D%20%20%3D%20Base_%7Bempty%7D%20%2B%20Base_%7Borange%7D%20%20%5C%5CBase_%7Btotal%7D%20%3D%201.9ft%20%2B%203.1%20ft%5C%5CBase_%7Btotal%7D%20%3D%205%20ft)
Height is the same for both triangles so Height total = 4 ft.
Now the total area can be calculated:
Area total= 1/2* base_total * height_total
Area total = 1/2 * 5ft * 4 ft
Area total = 20 / 2 = 10 ft squared
Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.
Area Empty Triangle = 1/2 * base_empty * height_empty
Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared
Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared
There are no equations? Well there’s no picture
If you mean in word form, then it should be as follows;
Three million one hundred and fifty-two thousand three hundred and eight.
If you don't mean word form, you will have to be a little more specific.
Question is Incomplete; Complete question is given below;
Mr. Lin hires a moving company to help transport furniture to his new home. The bill from the moving company is $400. Mr. Lin includes a 15% tip with his payment.
What is Mr. Lin’s total payment, including tip?
Answer:
Mr. Lin made a Total payment of $460 including the Tip.
Step-by-step explanation:
Given:
Total bill = $400
Percentile amount paid in tip = 15%
We need to find the total payment, including tip.
Solution:
First we will find the amount paid in Tip.
amount paid in Tip can be calculated by Percentile amount paid in tip multiplied by Total bill and then divided 100.
amount paid in Tip = ![\frac{15}{100}\times 400 = \$60](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B100%7D%5Ctimes%20400%20%3D%20%5C%2460)
Now we know that;
Total payment made by Mr.Lin is equal to sum of Total bill and amount paid in Tip.
framing in equation form we get;
Total payment made by Mr.Lin = ![\$400+\$60 =\$460](https://tex.z-dn.net/?f=%5C%24400%2B%5C%2460%20%3D%5C%24460)
Hence Mr. Lin made a Total payment of $460 including the Tip.
Answer:
<18 = 40
Step-by-step explanation:
<3 = <19 since they are alternate exterior angles and alternate exterior angles are equal for parallel lines cut by a transversal
<19 = 140
<19+<18 = 180 since they form a straight line
140 + <18 = 180
Subtract 140 from each side
140-140 + <18 = 180-140
<18 = 40