To find the area of a trapezoid, it’s 1/2(base 1 + base 2) x height.
so in this case, base 1 is 16 (add 12+2+2) (the top one) and base 2 is 12 (the bottom one) and the height is 9.
you input all the values in the formula and you get 126in.
hope this helped:)
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
Since .68 is 68/100, you can simplify to 17/25.
Answer:
Distribute the -6 and combine like terms which are the x's
Also combine the numbers
Step-by-step explanation:
Answer:
m<ACD = 
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD = 
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is
.