2 years ago

In the figure below, ‖hl and ‖jk. Find the values of z and y.

Mathematics

1 answer:

GenaCL600 [577]2 years ago

5 0

Answer:

y = 36

z = 98°

Step-by-step explanation:

✅z + 82° = 180° (consecutive exterior angles are supplementary)

Subtract 82 from each side

z = 180° - 82°

z = 98°

✅(4y - 46)° + 82° = 180° (supplementary angles)

4y - 46 + 82 = 180

Add like terms

4y + 36 = 180

Subtract 36 from each side

4y = 180 - 36

4y = 144

Divide both sides by 4

y = 144/4

y = 36

You might be interested in

PART A:

elixir [45]

A and C are complementary
B is supplementary

3 0

3 years ago

The average (arithmetic mean) of y numbers is x. if 30 is added to the set of numbers, then the average will be x - 5. what is t

Anastasy [175]

Given,

AM of y numbers = x.

Let the sum of y numbers be s.

AM of y numbers = x

$\frac{s}{y} = x$

$s = y*x$

Given, when 30 is added to the y numbers, the AM becomes x - 5.

$\frac{s + 30}{y + 1} = x - 5$

$\frac{y*x + 30}{y +1} = x - 5
$

$y*x + 30 = (x -5)( y +1)$

$y*x + 30 = y*x + x - 5y -5$

$5y = x - 5 -30 = x - 35
$

$y = \frac{x -35}{5}$