All categories

3 years ago

The measure of an angle is equal to the meausure of its complement. find the degree measure of the angle

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Sine they are equal and a complement means add up to 90, they are 45.
45+45 =90

You might be interested in

Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

$q+3\leq 15...(1)$

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

$0.25q+3(0.10)\geq 2.85...(2)$

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

$q+3-3\leq 15-3$

$q\leq 12$

From 2nd inequality, we will get:

$0.25q+0.30\geq 2.85$

$0.25q+0.30-0.30\geq 2.85-0.30$

$0.25q\geq 2.55$

$\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}$

$q\geq 10.2$

Upon combining our both inequalities, we will get:

$10.2\leq q\leq 12$

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0

3 years ago

lbvjy [14]

In similar triangles ratios of corresponding sides are constant, so

|AB|/|DE| = |BC|/|EF|

5/10 = 8/|EF|

|EF| = (8*10)/5 = 16

|EF| = 16

6 0

3 years ago

What fractional part of a pound is an ounce

svetoff [14.1K]

Since there are 16 oz in a pound, it would be 1/16

8 0

3 years ago

you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point

Shalnov [3]

15/3= 5
so 5 x 12 = 60

4 0

2 years ago

Please help me Please!!!!!!!!!! :((((

lesya [120]

6x+24

Hope this helps

3 0

3 years ago