The area of a trapezoid is the height times the average of the two bases, mathematically:
A=h(b1+b2)/2, in this case h=6in, b1=9in, and b2=7in so
A=6(9+7)/2
A=6*16/2
A=48in^2
Solving the system we get, x= -1, y= -2 and z= 0
Step-by-step explanation:
Solving the equations to find x, y and z
Adding eq(1) and eq(2)
Adding eq(2) and eq(3)
Multiplying eq(4) by 3 and eq(5) by 2
So, value of z =0
Putting value of z in eq(4)
So, value of x = -1
Now putting value of z=0 and x =-1 in equation 1
So, value of y = -2
So, solving the system we get, x= -1, y= -2 and z= 0
Keywords: Solve the system
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Answer:
∡x = 20°
∡y = 160°
∠z = 160°
Step-by-step explanation:
Angles on a straight line sum to 180°
⇒ ∠z + 20° = 180°
⇒ ∠z = 180° - 20°
⇒ ∠z = 160°
The central angle measure equals the corresponding arc measure.
⇒ ∡x = 20°
⇒ ∡y = ∠z = 160°
Step-by-step explanation:
solution,
midpoint between A(-1,4) and B(-5,-2)=
(X1 + X2 ÷2, Y1 + Y2 ÷2)
=(-1-5÷2 , 4-2)
=(-6÷2 ,2÷2)
=(-3 , 1)
therefore the midpoint between A(-1,4) and B(-5 ,-2)=(-3,1)
Answer:
1:3
Step-by-step explanation:
To find the probability of selecting a certain type of item from a collection, simply divide the number of items of that type by the total number of items.
There are 3 + 2 + 1 = 6 marbles in total. There are 2 yellow marbles, so the probability of choosing a yellow marble on the first draw is 2/6. This can be further simplified to 1:3.
