Find m∠Y if m∠Y is six more than three times its supplement.

Mathematics

2 answers:

rjkz [21]3 years ago

5 0

Answer:

Step-by-step explanation:

" $m\angle Y$ is six more then three times its supplement".

Three times refers to multiply by 3, and six more implies and addition.

Supplement indicates that the sum of those angles is 180°.

So, the problem can be expressed as

$m \angle Y=3(180-m\angle Y)+6$

Solving for angle Y, we have

$m \angle Y=540-3m\angle Y+6\\m \angle Y+3m \angle Y=546\\4m \angle Y=546\\m \angle Y=\frac{546}{4}=136.5$

And the supplement is

$180 - m\angle Y=180-136.5=43.5$

Therefore, the angle is 136.5°.

Svetlanka [38]3 years ago

3 0

To answer this item, we let x be the measure of angle Y. If we say supplement, it is understood that when we sum up the measures of the two angles (angle Y and its supplement) the answer should be 180. Therefore the other angle is 180-x. Going back to the condition given in this item, we will be able to generate an equation,
x = 3(180 - x)
The value of x from the equation is 135. Thus, m∠Y is 135°.

You might be interested in

Mr. williams physical education class lasts 7/8 hour. Instructions are 1/5 of that time, how many minutes are NOT spent on instr

melomori [17]

37/40 but you should probably wait for a second opinion because i bad at math

6 0

3 years ago

How do I find domain and range from a graph/equation?

likoan [24]

domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)

range represents y values so it would also be all real numbers or (-infinity, infinity)

let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)

the domain would be [-3, 2]

we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)

and the range would be [-1, 2]

if you have any more questions about this explanation feel free to ask!