All categories

3 years ago

One of two complementary angles is 8 degrees less than the other.

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

5 0

Answer: The correct option is

$(A)~~x+y=90,~~x-y=8.$

Step-by-step explanation: Given that one of the two complementary angles is 8 degrees less than the other.

We are to select the correct system of equations represents the given word problem.

Let x and y represents the two complementary angles where y is less than x.

Since one angle is 8 degrees less than the other and y is less than x, so we have

$x-y=8.$

We know that the sum of two complementary angles is 90 degrees, so we get

$x+y=90.$

Thus, the required system of equations representing the given word problem will be

$x+y=90,\\\\x-y=8.$

Option (A) is CORRECT.

Ronch [10]3 years ago

3 0

I think it is the middle one becuase complimentary angles add up to 90 degrees and if one is 8 less than the other it would be proved like that.

You might be interested in

A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication departments has at most 107 hours of labor availa

Elina [12.6K]

Answer: A

Step-by-step explanation: Canoe → 8h →X

Rowboat → 5h → Y

Fabrication department has at most 107, which means it need to be less than 107 hours.

This way, the amount of time to fabricate X canoes = 8X plus the amount of time to fabricate Y Rowboat = 5Y must be less than 107.

8X + 5Y < 107

6 0

3 years ago

Alicia bought 1.75 pounds of chicken salad at $6.80 a pound. How much did she spend?

Digiron [165]

Answer:

multiply them to get $11.90

7 0

2 years ago

Read 2 more answers

3. Graph the circle from the standard form (x - 1)² + y² = 49.

shtirl [24]

Answer:

center is at (1,0) with a radius of 7

Step-by-step explanation:

i hope this helps you graph it

6 0

3 years ago

Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.

Andre45 [30]

Answer: $28,752

Explanation:

The definition of bimonthly is an event that happens once in two months. $-bi$ represents "two", while $-monthly$ represents "event that happens by month.

Given that Glenda receives a salary of $4,792 bi-monthly, we are required to find the earnings per year.

There are 12 months in each year, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

$12/2=6$