Answer:
0=26
Step-by-step explanation:
Distribute
3(4−2)−5=6−7(−−2)
12−6−5=6-7(-x−2)
Combine like terms
12−6−5=6−7(−−2)
7−6=6−7(−−2)
Distribute
7−6=6−7(−−2)
7−6=6+7x+14
Answer
0=26
Answer:
The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.
4x + 2y = 5y + 7
4x - 3y = 7
4x - 3y = 7
8x + 3y = 41
----------------add
12x = 48
x = 48/12
x = 4
8x + 3y = 41
8(4) + 3y = 41
32 + 3y = 41
3y = 41 - 32
3y = 9
y = 9/3
y = 3
solution is (4,3)
Answer:
340 units2
Step-by-step explanation:
draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.
The triangle has base=3, angle 60 degrees and angle of 90 degrees.
Finding third angle:
180-60-90= 30
finding other two sides of triangle by using law of sines:
a/sinA=b/sinB
3/sin30=b/sin60
b=3sin60/sin30
b=3(0.866)/0.5
b=5.2
b is the perpendicular line we drew
a/sinA=b/sinB
3/sin30=c/sin90
c=3sin90/sin30
c=3(1)/0.5
c=6
c is the hypotenuse of the triangle
Now Finding the perimeter of base:
The perimeter of the base=sum of the lengths of sides.
p=6+9+6+5.2
=26.2
area of trapezoid:
A= (a+b)h/2
= (6+9)(5.2)/2
=39
total surface area of prism:
TSA= ph + 2A
where h is height of prism = 10
TSA= 26.2(10) + 2(39)
=340
Hence total surface area of the given prism is 340 units square!
