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4 years ago

The difference between the measures of complementary angles is 24. Find the measure of the smaller angle.

1 answer:

Elena-2011 [213]4 years ago

5 0

X+x-24=180
2x-24=180
2x=204
x=102
x-24=the smaller angle
102-24=the smaller angle
78=the smaller angle

Hope this helps :)

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The distance around a racetrack is 2/3 of a mile. How many laps must you run around the track if you want to run six miles?

Sergio039 [100]

You must run around the track 9 times.

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4 years ago

A trapezoid is broken into 2 triangles and 1 rectangle. The triangles both have a base of 2 meters and a height of 5 meters. The

Lemur [1.5K]

Answer:

Part 1) The trapezoid has an area of $20\ m^2$

Part 2) The kite has an area of $21\ m^2$

Part 3) The area of the trapezoid is less than the area of the kite

Step-by-step explanation:

Part 1

Find the area of trapezoid

we know that

The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle

$A=2[\frac{1}{2} (2)(5)]+(2)(5)$

$A=10+10=20\ m^2$

Part 2

Find the area of the kite

we know that

The area of the kite is equal to the area of two congruent triangles

$A=2[\frac{1}{2} (7)(3)]=21\ m^2$

Part 3

Compare the areas

The trapezoid has an area of $20\ m^2$

The kite has an area of $21\ m^2$

$20\ m^2< 21\ m^2$

therefore

The area of the trapezoid is less than the area of the kite

5 0

4 years ago

Read 2 more answers

On a farm there are some cows and some chickens if the animals have a total of 40 heads and 112 legs how many cows are there? ho

tankabanditka [31]

Answer:

There are 16 cows and 24 chickens in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there $x$ chickens AND,

there are $y$ number of Cows.

Now we can write two equations for the number of heads and legs.

For the number of heads we can write,

$x+y=40$ <--------- 1st equation

For the number of legs we can write,

$2x+4y=112$ <------ 2nd equation

We can now solve the simultaneous equations to find $x$ and $y$

Multiply 1st equation by 2 and deduct it from 2nd equation to remove $x$

⇒ $2x+4y-2*(x+y)=112-80$

⇒ $2x+4y-2x-2y)=112-80$

⇒ $2y=32$

⇒ $y=16$

Therefore, there are 16 cows in the farm.

Now we can substitute the $y$ value to the 1st equation and find $x$ value.

$x+16=40$

$x=24$

Therefore, there are 24 chickens in the farm.

6 0

3 years ago

I need help please! l'm having trouble

Veronika [31]

Check the picture below.

6 0

3 years ago

If A =

jeka57 [31]

A=53/24 and B=32/10

|A| = |53/24| = 53/24
|B| = |32/10| = 32/10
AB = 53/24 * 32/10 = 1,696/240

|A| * |B| = |AB|
|53/24| * |32/10| = |1,696/240|
53/24 * 32/10 = 1,696/240
1,696/240 = 1,696/240

7 0

3 years ago