All categories

2 years ago

How to know if an angle is congruent?

Mathematics

2 answers:

Svet_ta [14]2 years ago

4 0

Answer:

Two angles are congruent if they have the same measure. If you didn't already know, when two lines intersect the vertical angles formed are congruent. For example, all the angles in a square are congruent. All the angles in a regular pentagon are 108°, therefore all the angles are congruent because they are the same.

Step-by-step explanation: Hope this helps:).........if not sorry:(

tatuchka [14]2 years ago

4 0

Answer:

Well, AN angle (as you've stated in your question) can't, by definition, be congruent; you need at least two angles. Once that condition is met, then we can say that two angles are congruent if they have the same measure.

Step-by-step explanation:

You might be interested in

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured parallel to a line

Ber [7]

Answer:

The distance is:

$\displaystyle\frac{3\sqrt{142}}{10}$

Step-by-step explanation:

We re-write the equation of the line in the format:

$\displaystyle\frac{x+2}{3}=\frac{y+\frac{3}{2}}{2}=\frac{z+\frac{4}{3}}{\frac{5}{3}}$

Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.

In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:

$\displaystyle\vec{v}=\left< 3, 2, \frac{5}{3}\right>$

Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:

$x=-2+3t\\y=3+2t\\\displaystyle z=-4+\frac{5}{3}t$

We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:

$\displaystyle x+y+z=3\to -2+3t+3+2t-4+\frac{5}{3}t=3$

Then we solve that equation for t, to get:

$\displaystyle \frac{20}{3}t-3=3\to t=\frac{9}{10}$

Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:

$\displaystyle x=-2+3\left(\frac{9}{10}\right)=\frac{7}{10}\\\displaystyle y=3+2\left(\frac{9}{10}\right)=\frac{24}{5} \\\displaystyle z=-4+\frac{5}{3}\left(\frac{9}{10}\right)=-\frac{5}{2}$

Then to find the distance we just use the distance formula:

$\displaystyle d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

So we get:

$\displaystyle d=\sqrt{\left(-2-\frac{7}{10}\right)^2+\left(3-\frac{24}{5}\right)^2+\left(-4 +\frac{5}{2}\right)^2}=\frac{3\sqrt{142}}{10}$

3 0

3 years ago

Jerry is 8 years younger than Patricia. Six years ago, Patricia was 3 times as old as Jerry was then. Which system of equations

MissTica

<span>Jerry is 8 years younger than Patricia, so: (1): Jerry = Patricia - 8 Six years ago, Patricia was 3 times as old as Jerry was then, so: (2): (Patricia - 6) = (Jerry - 6)*3 Putting equation 1 in to equation 2 (Patricia - 6) = (Patricia - 8 - 6)*3 Patricia - 6 = 3Patricia - 42 36 = 2Patricia Patricia = 18 And so Jerry = 10</span>

4 0

3 years ago

Can anyone help me with the rest of my ixl m.1 please and thank you

mina [271]

Answer:

u=54

Step-by-step explanation:

VX is middle line of triangle, so

VX=ZY/2.....(1)

We know that

Zy=u

Vx=u-27

Put that in (1) we have:

u-27=u/2

2u-54=u

2u-u=54

u=54

5 0

3 years ago

Need help asap please

baherus [9]

I just want ponts so just go on google 45775576467

4 0

3 years ago

Read 2 more answers

How does 15.050 compare to 15.500

Varvara68 [4.7K]

15.050 < 15.500

notice that 500 is more than 50... so hope this helps a little bit !!!

6 0

3 years ago

Read 2 more answers