Answer:$26.00
Step-by-step explanation:40 x .35 = 14
40-14=26
As you can see in the picture, this is 6-8-10 right triangle.
One of angles is 90° so you can find others

8/6 = 4/3
6/8= 3/4
tan-1(4/3) = 36.9 °
tan-1(3/4) = 53.1 °
tan<R= 53.1 °
Hope this helps ^-^
Answer:
60 miles
Step-by-step explanation:
So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.
if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:
1 4
- = - = 60 = x
12 x
If x equals 60, that means that 4 inches equals 60 miles on the map.
You could also just find an equal fraction by multiplying the top and bottom both by 4.
Answer:
he seventh angles measure is 103
Step-by-step explanation:
Interior angles = (number of side in the polygon - 2) times 180.
So Heptagon interior angles = (7-2)(180) = 900
To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.
Now The measure of the seventh angles = total angles measure - the six given angles,
The seventh angles measure is 103
900 - 797 = 103
Answer:
After solve the equations we get value of k=3
Step-by-step explanation:
We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.
If the lines are concurrent, they pass through same point.
Let:

First solving equation 1 and 2 to find values of x and y
From eq(1) we find value of x and put it in eq(2)

After solving we get value of y=-1
Now putting in eq(1) to get value of x

So, Value of x= 2
Now put value of x=2 and y=-1 into eq(3) to find value of k

So, After solve the equations we get value of k=3