All categories

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

Solve the system y = -x + 7 and y = 0.5(x - 3)^2

ddd [48]

Answer:

$x=-1;\ y=8\\x=5;\ y=2$

Step-by-step explanation:

You can make both equations equal and solve for the variable x, as you can see below:

$-x+7=0.5(x-3)^2$

Keep on mind that:

$(a-b)^2=a^2-2ab+b^2$

Then:

$-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5$

Apply the quadratic formula:

$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5$

Substitute each value into one of the originl equations to find y, then:

$y=-(-1)+7=8\\y=-5+7=2$

8 0

3 years ago

I’m kinda confused. Can someone help.

horsena [70]

Answer:

PQ = $PM\cos MPQ + MQ\cos MQP=2PM\cos MQP$

Step-by-step explanation:

given MQR = 60, PQR = 75

MQP = 75 -60= 15 $QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}$

WE KNOW THAT MQR +QRM +QMR = 180

MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL

THEREFORE QMR = 90 - 60 = 30

therefore PQM = 75 - 60 = 15

PM = PQ because M is the mid point

therefore PR = PM + $MQ\cos QMR$

PR = $18(1+\cos 30)$

$QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}$

PQ = $PM\cos MPQ + MQ\cos MQP=2PM\cos MQP$

5 0

3 years ago

Can someone help me answer this? id really appreciate it

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

n²+2 where n is number of small squares forming maximum corner square.

in step 1,n=1

step 2,n=2

step 3,n=3

step 4,n=4

when n=1

number of squares=1²+2=1+2=3

when n=2

total numbers=2^2+2=4+2=6

when n=3

total numbers=3²+2=9+2=11

when n=4

total numbers=4²+2=16+2=18

8 0

3 years ago

4. What function represents how much more water can be added to the bucket before it

Elza [17]

The function that represents how much more water can be added to the bucket before it overflows is given as follows:

c(x) = 6x³ + 3x² - 2x - 2.

<h3>How to define the function?</h3>

The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.

The functions in this problem are defined as follows:

f(x) = 8x³ + 4x² - 6x + 5.

g(x) = 2x³ + x² - 4x + 7.

Then the capacity function is obtained as follows:

c(x) = f(x) - g(x)

c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)

Then the distributive property is applied to the negative sign as follows:

c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.

Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:

c(x) = 6x³ + 3x² - 2x - 2.

More can be learned about operations with functions at brainly.com/question/2723982

#SPJ1

5 0

1 year ago

Solve the equation below for x.

svetlana [45]

If x + y = 5 and 3x = 2 then what you
do is:
3x = 2 and since you want the variable by itself you’d divide by 3... giving you an answer of x = 2/3 BUT YOURE NOT DONE YET
so now you plug what x equals (2/3) into the equation x + y = 5:
2/3 + y = 5
to solve this you have to subtract each side by 2/3 so x = 5 - 2/3
(5/1 - 2/3.... to get like denominators multiply the nominator and the denominator for 5/1 by 3 giving you: 15/3 - 2/3 = 13/3)
your final answer would be 13/3

5 0

3 years ago