Answer:
Recall each angle in a rectangle is 90 degrees. So to find the other portion, subtract the given angle from the 90 degrees.
Step-by-step explanation:
Answer:
25.5
Step-by-step explanation:
first find the area od the rectangle than the triangle.
to find the area count the number of squares and use A=b*h
than do the same for the triangle using A=.5*b*h
15=3*5
10.5=.5*3*7
10.5+15=25.5
2.50 is how each gallon cost because if you multiply 2.50 times the amount of gallons (9) it’s 22.50 in total
(180-x)-2(90-x)= 53
Remember that complimentary angles add to 90 and supplementary angles add to 180.
180-x-180+2x=53
x=53
Final answer: The angle is 53 degrees.
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that

therefore


Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem

we have


substitute



