Applying the midsegment theorem, the <u>value of x = 5</u>
<em><u>Recall:</u></em>
- The midsegment theorem of a triangle states that the length of the mid-segment (DE) which is parallel to the third side (AC), is half the length of the third side AC of triangle BAC.
<em><u>Thus:</u></em>
DE = 1/2(AC)
2x - 3 = 1/2(x + 9)
2(2x - 3) = x + 9
4x - 6 = x + 9
4x - x = 6 + 9
3x = 15
x = 5
Therefore, applying the midsegment theorem, the <u>value of x = 5</u>
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Answer:
Suppose that you have 50 people that like hip hop and 50 people that like country.
Now, the union of those sets would be 50 + 50 = 100 people, right?
Well, this may be incorrect, because in the 50 people that like hip hop, we may have, for example, 10, that also like country (this means that in the 50 people that like country, we also have 10 that like hip hop).
Then when we are adding 50 + 50 we are counting those 10 people in both groups, and that is why the direct addition may be different than the union of both sets.
In more technical words, the union of two sets is equal to the addition of the elements of both sets minus the elements in the intersection of both sets (in our prior example, the 10 people that like hip hop and country music are the intersection of both sets)
Answer:
(-3,-1)
Step-by-step explanation:




Answer:
Mike's father produces a greater fraction.
Step-by-step explanation:
Amount of windows replaced by Mike's father = 3/14
Amount of windows replaced by Uncle Jack = 1/7
This 1/7 can also be expressed as 2/14
Now, since they both have the same denominators, it means that the higher the numerator the greater than the other fraction.
Thus, 3/14 is greater than 2/14.
Hence, Mike's father replaced a greater fraction of the broken windows.
Answer:
3 (linear)
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1
for each of its variables. In this case, the degree of variable y is 1
and the degree of variable x is 1