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juin [17]
3 years ago
8

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. 
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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}

{Since we know the property of exponent as \frac{a^{b} }{a^{c} } = a^{(b - c)}}

= - \frac{3}{4} p^{8} q^{-3}

= - \frac{3}{4} \times  \frac{p^{8} }{q^{3} } (Answer)

{Since we know, a^{-b} = \frac{1}{a^{b} }}

3 0
3 years ago
Read 2 more answers
2 + 10 = 24<br>3 + 6 = 27<br>7 + 2 = 63<br>5 + 3 = ????​
True [87]
  • Answer:

<em>40</em>

  • Step-by-step explanation:

<em>2 + 10 = 24</em>

<em>2(2 + 10) = 2×12 = 24</em>

<em>3 + 6 = 27</em>

<em>3(3 + 6) = 3×9 = 27</em>

<em>7 + 2 = 63</em>

<em>7(7 + 2) = 7×9 = 63</em>

<em>5 + 3 = 40</em>

<em>5(5 + 3) = 5×8 = 40</em>

7 0
3 years ago
What is the radius of the circle in the example?<br> 3 cm<br> 5 cm<br> 7 cm
Strike441 [17]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
At a large automobile dealership, you take a random sample of 35 cars and determine that the average cost is $34,330. Which stat
Lina20 [59]
C) you conclude that less than half of the cars on the dealership’s lot cost more than$34,330
3 0
3 years ago
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