Use the marked parallel lines to find the value of y in the diagram below (1 point)

Mathematics

1 answer:

Inessa [10]2 years ago

7 0

2x + 5 = 3x - 45 [alternate interior angles]
3x - 2x = 5 + 45
x = 50

4y - 1 + 2x + 5 = 180 [supplementaly angles]
4y + 2(50) + 4 = 180
4y + 100 = 176
4y = 76
y = 19

You might be interested in

What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41

Irina18 [472]

First, you have to find the median, which is the number in the middle: 25

Then cut the data in half by the median, so your new data sets are
15,29,20
and
31,38,41

Now you find the median of both of those sets, which is 29 and 38.

The interquartile range is the difference between the numbers, so 38-29 = 9.

8 0

3 years ago

Solving two-step equations:

aleksklad [387]

Answer:

Mia scored 6 baskets Last Saturday.

Step-by-step explanation:

Let:

Mia made score of baskets on Last Saturday = x

Mia made score of baskets yesterday = 3x (Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. three times means multiply 3 with score of Last Saturday baskets, i.e. x)

Total score of baskets = 24

We need to find How many baskets did Mia score last Saturday?

We can write:

<em>Total Score = Score on Last Saturday + Score yester</em>day

$24=x+3x$