Point t bisects uv. find uv if ut = 4 1/2 yards

2 answers:

7 0

If a point bisects a segment, each line is congruent. So if UT is 4.5 yards TU would be 4.5 yards as well. UV is 9 yards

Sonja [21]3 years ago

3 0

Answer:

9 yards

Step-by-step explanation:

We just have to remember that a bisection is when a point or a line cuts a segment in two segments that measure exactly the same, so if point T bisects UV that means that it cuts it in half, and if UT equals four and a half yards, that means that TV would measure exactly the same, so we just multiply uv by two so four and a half yards by two would be 9, so the segment UV would measure 9 yards.

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7nadin3 [17]

let's firstly convert the mixed fractions to improper fractions and then to do away with the denominators, let's multiply both sides by the LCD of all denominators.

$\stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}-\cfrac{4}{5}=\cfrac{35}{20}-\boxed{?}\implies \stackrel{\textit{multipling both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{7}{4}-\cfrac{4}{5} \right)=20\left( \cfrac{35}{20}-\boxed{?} \right)} \\\\\\ 35-16=35-20\boxed{?}\implies 19=35-20\boxed{?}\implies -16=-20\boxed{?} \\\\\\ \cfrac{-16}{-20}=\boxed{?}\implies \cfrac{4}{5}=\boxed{?}$