Answer:
Perimeter = 38 feet
Area = 78 sq. feet
*Don't forget the squared (sq.) part in the area or your units WILL be wrong*
Step-by-step explanation:
We are just going to add up the sides given.
8 + 5 + 5 is the top rectangle
4 + 11 is the bottom rectangle and the bottom of the triangle
Add 5 more to account for the hypotenuse of the triangle.
8 + 5 + 5 + 4 + 11 + 5 or 8 + 5(3) + 4 + 11 = 38.
Your perimeter is 38 feet
The area of the top rectangle can be found by doing the length (8 ft.) times the width (5 ft.) 8 x 5 = 40 sq. ft.
The bottom rectangle has the same length as the top since they share a side but, has its own width (4 ft.). 4 x 8 = 32 sq. ft.
Time to add on the area of the triangle. The height of the triangle is the width of the bottom rectangle which is 4 ft. Now we use that 11 feet. The base of the triangle plus the length of the bottom rectangle equals 11 feet. We found from the previous parts that the length of the rectangles are 8. So if we subtract 8 from 11, we get the size of the base. 11 - 8 = 3. The base of the triangle is 3 feet.
Area of a right triangle is found by doing 1/2 times the base times the height. So the area of that triangle is (1/2)(3)(4) = (1/2)(12) = 6 sq. ft.
Now, we add all of our areas together.
40 + 32 + 6 = 78 sq. ft.
Answer:
100% in Khan acadamy
Step-by-step explanation:
Answer:
Therefore the triangles are congruent by Angle Angle similarity postulate.
ΔEFG ~ ΔHJK ...{ By Angle-Angle similarity postulate}
Step-by-step explanation:
Given:
In right triangle ΔEFG
m∠E= 25°.
In right triangle ΔHJK,
m∠H=25º
To Prove:
ΔEFG ~ ΔHJK
Proof:
In right triangle ΔEFG and ΔHJK
m∠ E ≅ m∠ H .......{measure of each angle is 25° given}
m∠ F ≅ m∠ J .........{Both triangle is Right angle Triangle therefore measure angle is 90° each}
∴ ΔEFG ~ ΔHJK ...{ By Angle-Angle similarity postulate}
Therefore the triangles are congruent by Angle Angle similarity postulate.
ΔEFG ~ ΔHJK ...{ By Angle-Angle similarity postulate}
A withdrawal from an account means taking money out of your account. That means whatever money you have in there becomes a smaller amount because you're subtracting money from the account.
So, to work out how much money Jan withdrew as a negative sum, you just have to look at how much she took out:
-25 - 45 - 75 = -$145
This means Jan took out $145 from her account, and we write it with a negative sign because it's money that's going to be taken away from whatever's in there.
The same thing applies to Julie:
-35 - 55 - 65 = -$155
Julie took out $155 from her account, so her withdrawals were -$155.
Therefore, your final answer for 24a. is -$145 and your answer for 24b. is -$155.