Answer:
True
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
see the attached figure to better understand the problem
EF is the mid-segment of trapezoid
EF is parallel to AB and is parallel to CD
EF=(AB+CD)/2
so
The mid-segment of a trapezoid is always parallel to each base
therefore
The statement is true
Answer:
b) y=1/3x+5
Step-by-step explanation:
Without the actual scatter plot we would need to deduce from the options provided which would closely model the data. Since the number of goals scored in a game can only be 0 or positives then we can remove options a) and c) since a value of x = 0 would output a negative value to y. That leaves us with options b) and d). Since we know that soccer games vary in the number of goals then we can remove option d) since it represents a steady trend line of 4. Finally, we are left with option b) as the answer.
Given:
The function is 
.
To find:
The function 
.
Solution:
We have,
Substitute f(x)=y.
Interchange x and y.
Divide both sides by 3.
Taking power 4 on both sides.
Subtract 7 from both sides.
Substitute 
.
Therefore, the correct option is C.
Answer:
A pizza can be ordered in 56 ways
Step-by-step explanation:
From the information that the problem gives to us, we have that:
For each topping, there are four different choices for the size of the pizza.
For each size of pizza, there are two possible choices of crust.
There are seven toppings for us to choose.
So
4*2*7 = 56
A pizza can be ordered in 56 ways
If each is similar, then 6 times (5) = 30
therefore 8 times (5) = 6X - 8
40 = 6X - 8
add 8 to both sides 48 = 6X
divide by 6 8 = X
