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Neko [114]
3 years ago
6

Triangle PQR has side lengths 6 cm, 7 cm, and 11 cm. A

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

1). 24:28:44

Step-by-step explanation:

The triangle will have sides  in the same ratio as 6;7:11 so it is the first choice:

6:7:11 = 24:28:44.

Each side in the second triangle is 4 times the corresponding side in the first triangle.

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Which expression is equivalent to One-fifth (150 x minus 80 y + 50 minus 50 x minus 25 y + 20)?
inna [77]

Answer:

The answer to your question is  20x + 21y + 14        

Step-by-step explanation:

Data

Expression             1/5 (150x - 80y + 50 - 50x - 25y + 20)

Process

1.- Multiply 1/5 by each term

                                     150/5x - 80/5y + 50/5 - 50/5x - 25/5y + 20/5

2.- Simplify

                                      30x - 16y + 10 - 10x - 5y + 4

3.- Simplify like terms

                                      (30x - 10x) + (-16y - 5y) + (10 + 4)

4.- Result

                                        20x + 21y + 14                                        

3 0
3 years ago
Read 2 more answers
Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

5 0
3 years ago
Give the answer in simplest form:<br> 3/8 of 48 = n n = _____
Mandarinka [93]

Answer: n= 18

Step-by-step explanation: 3/8 of 48 is the same as 3/8 times 48

7 0
3 years ago
Read 2 more answers
Help me Please!! Ive got a deadline!! Thanks! (:
saul85 [17]
The equation in standard form is 2x^2 + 7x - 15=0. Factoring it gives you (2x-3)(x+5)= 0. That's the first one.  The second one requires you to now your formula for the axis of symmetry which is x = -b/2a with a and b coming from your quadratic.  Your a is -1 and your b is -2, so your axis of symmetry is
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1.  That -1 is the x coordinate of the vertex.  You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y.  -(-1)^2 - 2(-1)-1 = 0.  So the vertex is (-1, 0).  That's the first choice given.  For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards.  Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola.  This one is also the first choice because of the way the equation is written.  There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0.  The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1.  The vertex is a max at (0, -1)
3 0
3 years ago
What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7
Sergio [31]

Answer:

<h3>5</h3>

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

7 0
3 years ago
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