How many pairs of triangles appear congruent?he triangles may overlap

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

There are 4 pairs of overlapping triangles that I can see that are congruent. Two pairs share vertically opposite angles.
One more pair have right angles at the bottom of the rectangle.
One other pair have right angles at the top of the rectangle.

You might be interested in

In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?

DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A( $x_1,y_1$ ) and B( $x_2,y_2$ ). The equation to determine the location of O is given by:

$x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}$

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let ( $x_2,y_2$ ) be the coordinate of L. Therefore:

$10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18$

$11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20$

Therefore L = (18, 20)

4 0

3 years ago

What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Sup

zhannawk [14.2K]

Answer:

$- \frac{3}{4} \times \frac{p^{8} }{q^{3} }$

Step-by-step explanation:

We have to find the quotient of the following division, $\frac{15p^{-4}q^{-6} }{- 20p^{-12} q^{-3}}$ .

Now, $\frac{15p^{-4}q^{-6} }{- 20p^{-12} q^{-3}}$

= $- \frac{3}{4} p^{[- 4 - (- 12)]} q^{[-6 - (- 3)]}$ {Since all the terms in the expression are in product form, so we can treat them separately}