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4 years ago

How do you do congruent angles

2 answers:

8 0

Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent angles. Note they are pointing in different directions. If you drag any of the endpoints, the other angle will change to remain congruent with the one you are changing.

For angles, 'congruent' is similar to saying 'equals'. You could say "the measure of angle A is equal to the measure of angle B". But in geometry, the correct way to say it is "angles A and B are congruent".

To be congruent the only requirement is that the angle measure be the same, the length of the two arms making up the angle is irrelevant. As you drag the orange dots above, note how the line lengths will vary but the angles remain congruent, because only the angle measure in degrees matters <3

allochka39001 [22]4 years ago

7 0

Answer:

Angles are congruent if they have the same angle measure in degrees.

You might be interested in

Evaluate log2 1 over 64.

Nastasia [14]

Let log2 (1/64) = x. Then,

2^x = 1/64

2^x = 1/(2^6)

2^x = 2^(-6)

So,

x = -6

log2 (1/64) = -6 <----- this is the answer.

I hope this helps. =)

6 0

3 years ago

write the equation in slope-intercept form with y intercept of −3 and an x intercept of −4.5. Plz tell me how you got it so i no

erastovalidia [21]

The equation of the line is y = -2/3x - 3.

To find this, we first need to turn the intercepts into ordered pairs.

x intercept: (-4.5, 0)

y intercept: (0, -3)

Now we can use these two points and the slope equation to find slope.

m = (y2 - y1)/(x2 - x1)

m = (0 - -3)/(-4.5 - 0)

m = 3/-4.5

m = -2/3

Now that we have the slope, we can use slope intercept form to find the intercept.

y = mx + b

-3 = 2/3(0) + b

-3 = 0 + b

-3 = b

Which allows us to model the equation as y = -2/3x - 3

6 0

3 years ago

The light from a lamp creates a shadow on a wall with a hyperbolic border. Find the equation of the border if the distance betwe

dolphi86 [110]

This question is incomplete, the complete question is;

The light from a lamp creates a shadow on a wall with a hyperbolic border. Find the equation of the border if the distance between the vertices is 18 inches and the foci are 4 inches from the vertices. Assume the center of the hyperbola is at the origin.

Answer:

the equation of the border is x²/81 - y²/88 = 1

Step-by-step explanation:

Given the data in the question;

distance between vertices = 2a = 18 in

a = 18/2 = 9 in

distance of foci from vertices = 4 in

hence distance between two foci = 2c = 18 + 4 + 4 = 26

c = 26/2 = 13 in

Now, from Pythagorean theorem

b = √( c² - a² )

we substitute

b = √( (13)² - (9)² ) = √( 169 - 81 ) = √88

we know center is at the origin, so

( h, k ) = ( 0, 0 )

h = 0

k = 0

Using equation of hyperbola

[ ( x-h )² / a² ] - [ ( y - k )² / b² = 1

we substitute

[ ( x-0 )² / 9² ] - [ ( y - 0 )² / (√88)² ] = 1

x²/81 - y²/88 = 1

Therefore, the equation of the border is x²/81 - y²/88 = 1

3 0

3 years ago

A worker at a mill is loading 10-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 4 bags of flour. If

Hunter-Best [27]

Answer: 100 boxes

Step-by-step explanation:

Hi, since 1 ton = 2,000 lbs

We have to divide 10lbs by 2000 to convert the lbs in tons.

1t/2000lb = xt / 10lb

10 /2000=0.005

0.005 ton = 10 lbs (1 bag)

Each box has 4 bags

0.005 ton x 4 = 0.02 ton

So each box weights 0.02 ton

Since we need 2 tons.

Using proportions:

0.02t/1 box= 2 t / x boxes

x = 2 / (0.02/1)

x = 100 boxes

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

Sherman has 3 cats and 3 dogs. he wants to buy a toy for each of his pets. sherman has 32 dollars to spend on pet toys.

sergejj [24]

It depends how much the cat and dog toys cost

8 0

3 years ago