All categories

2 years ago

WY bisects UV at Y. If UV=x-7 and YV = 3x-29, find UV

Mathematics

1 answer:

gayaneshka [121]2 years ago

3 0

Answer:

3.2 units

Step-by-step explanation:

Given that:

WY bisects UV at Y.

$UV=x-7$ and

$YV = 3x-29$ ,

To find: UV = ?

Solution:

First of all, let us draw the diagram of the given dimensions and bisector line WY of UV.

As UV is bisected i.e. divided in two equal parts at Y by the line WY

Therefore, UY = YV

UV = UY+YV

UV = 2 YV

Now, let us put the given values to solve for $x$ :

$x-7=2 \times (3x-29)\\\Rightarrow x-7=2 \times 3x-2 \times 29\\\Rightarrow x-7=6x-58\\\Rightarrow 6x-x=58-7\\\Rightarrow 5x=51\\\Rightarrow \bold{x =10.2 }$

Now, we are given that:

$UV=x-7$

Putting value of $x$ as solved in above step to get the value of UV:

$UV=10.2-7\\\Rightarrow \bold{UV=3.2}$

So, answer is UV = 3.2 units

You might be interested in

What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig

Leto [7]

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

4 0

1 year ago

The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.

faust18 [17]

Speed = distance / time
30 = d / 2.5
30 * 2.5 = d
75 = d

40 = d / 1.875
40 * 1.875 = d
75 = d

50 = d / 1.5
50 * 1.5 = d
75 = d

60 = d / 1.25
60 * 1.25 = d
75 = d

24 = 75 / time
time = 75/24
time = 3.125 hours

7 0

2 years ago

Read 2 more answers

Triangle E F G is shown. Which statements regarding Triangle E F G are true? Select three options. E F + F G greater-than E G E

Leokris [45]

Answer:

options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Step-by-step explanation:

Given triangle EFG.

In each tirangle with sides lengths a, b and c, we always have

$a+b>c\\ \\a+c>b\\ \\b+c>a$

In triangle EFG:

$EF+FG>EG;$
$EG+GF>EF;$
$FE+EG>FG.$

So, options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Options 3 and 4 are false.

4 0

2 years ago

Read 2 more answers

Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit

guajiro [1.7K]

Answer: OPTION D.

Step-by-step explanation:

You know that Lindy's total cost can be found using this expression provided in the exercise:

$0.90(2.25d + 1.40t + 6)$

Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.

Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.

The values are:

$d=4\\\\t=3$