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PolarNik [594]
2 years ago
5

Find the value of each variable in the diagram given that a ∥ b.

Mathematics
1 answer:
Alika [10]2 years ago
4 0

The values are as follows:

z=50

v= 150

x= 100

y=15

w= 50

<h3>What is parallel lines?</h3>

Parallel lines are lines in a plane that are always the same distance apart.

z+130= 180   (Linear pair)

z=50

v+ 30 = 180  (Linear pair)

v= 150

x= 180- 30 - 50  (angle sum property)

x= 100

2y=30   (alternate interior angle)

y=15

w+x+2y=180  (Linear pair)

w+ 100 + 30 = 180

w= 50

Learn more parallel lines here:

brainly.com/question/16701300

#SPJ1

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Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is. Please help by computing the rati
alisha [4.7K]

Answer:

7 : 1

Step-by-step explanation:

Paul's car goes 40 kilometers on 7 tanks.

Distance    :     Tanks

     49        :         7

Fuel efficiency means the distance traveled by the car in one tank.

Therefore, we will reduce the ratio by dividing both sides by 7.

Distance    :     Tanks

    \frac{49}{7}           :         \frac{7}{7}

    7            :         1

Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.  

8 0
3 years ago
NOT A SCAM..... PLEASE HELP MEMEEEEEEEEEEEEEE
umka21 [38]

Answer:

(3, 0).

Step-by-step explanation:

dentifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.

In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).

The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time.

Hence, The Answer is ( 3, 0)

3 0
3 years ago
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Pam had $135.62 in her bank account. She deposited $58.90. How much money she have in her bank account now?
Novosadov [1.4K]

Answer:

$76.72

(135.62-58.90=76.72)

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3 years ago
A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of selecting a red marble, replacing
RUDIKE [14]

Answer:

3/20

Step-by-step explanation:

The total number of marbles is

3 red marbles+ 2 blue marbles+ 5 green marbles = 10 marbles

P(1st marble is red) = red marbles/total

                                =3/10

We replace the marble so there are still 10 marbles in the bag

P(2nd marble is green) = green marbles/total

                                =5/10 = 1/2

P(1st red, 2nd green) = P(1st marble is red) * P(2nd marble is green)

                                   =3/10 *1/2

                                    =3/20

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A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance f
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