Answer:
x = -5
Step-by-step explanation:
Step 1: Write out equation
15x - 24 - 4x = -79
Step 2: Combine like terms
11x - 24 = -79
Step 3: Add 24 to both sides
11x = -55
Step 4: Divide both sides by 11
x = -5
Step 5: Check step
Plug in -5 into the original equation
15(-5) - 24 - 4(-5) = -79
-75 - 24 + 20 = -79
-99 + 20 = -79
-79 = -79
Answer:
The trapezoidal prism's volume is
Step-by-step explanation:
Step 1: Recognize the shape is a trapezoidal prism
Constructed from:
Trapezoids
Step 2: Solve the area of the shape
Area of Trapezoid = ![(\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Ba%2Bb%7D%7B2%7D%20h%29%20%3D%28%20%5Cfrac%7B5%2B8%7D%7B2%7D%204.8%29%3D%28%5Cfrac%7B13%7D%7B2%7D%204.8%29%20%3D%2031.2m%5E%7B2%7D)
Step 3: Multiple the area of the Trapezoid by the width
Area of Trapezoid x 10m = Area of Trapezoidal Prism
![(31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume](https://tex.z-dn.net/?f=%2831.2m%5E%7B2%7D%20%29%2810m%5E%7B2%7D%20%29%3D%20Volume%5C%5C312m%5E%7B3%7D%20%3DVolume)
X^2-13x+40
X^2-8x-5x+40
X(x-8)-5(x-8)
(X-5)(x-8)
Answer:
C. After gaining independence, territory in both former colonies was divided due to religious conflicts
Step-by-step explanation:
The British had India as their colony, and Palestine as their mandate. Once the World War II ended though, the British saw that they are not in a financial position to be able to keep their colonies and mandates, so they decided to grant them independence. The independence didn't went as desired by the locals though, as both India and Palestine got partitioned because of religious reasons. India was partitioned into Hindu and Muslim part, while Palestine and Muslim and Jewish part. The situation in the Indian subcontinent quickly escalated, as well as in Palestine where the Arabs saw the formation of Israel as stealing of their land.
Answer:
no the quadrilateral isn't a parallelogram
Step-by-step explanation:
For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.