Answer:
8 square units
Step-by-step explanation:
The figure is a trapezoid. The area of it is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases and h is the distance between them.
Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...
A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8
The area of the figure is 8 square units.
_____
The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.
Answer:
49/83 = m
Step-by-step explanation:
49=83m
Divide each side by 83
49/83 = 83m/83
49/83 = m
(5x-12)^2
Square factor of 25 is 5.
Square factor of 144 is 12.
Hope this helps. I didn't understand what to do with it.
8(1/4x + 3/4) -3 =17
First distribute which results in (8/4x + 24/4)-3 =17.
Now just simply simplify it into (2x+6)-3 =17
Then you combine like term : 2x+3 =17
Subtract 3 on both sides : 2x=14
Finally divide 2 on both sides to isolate x: x=7
Angles in a triangle always add up to 180 degrees
Here, we add up all the angles given to equal it to 180 degrees:
X + X + 10 + X + 5 = 180
Collect like terms -> 3X + 10 + 5 = 180
Add the whole numbers -> 3X + 15 = 180
Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15
The subtract -> 3X = 165
Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3
Finally, X = 55
Now wherever you see X in the triangle, replace it with 55.
With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 degrees
