Prove that the triangles shown below are similar and provide a similarity statement

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

The triangles are similar because two angles have the same measurements

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The system of equations cx + 3y = c – 3 and 12x + cy = c will have infinitely many solutions if the value of c is

irinina [24]

Answer:

Step-by-step explanation:

1. re-write the given system:

cx+3y=c-3; => y= -cx/3 +(c-3)/3

12x+cy=c; => y= -12x/c+c/12

2. according the condition the rule for the parallel graphs is:

-c/3= -12/c

3. to calculate the unknown 'c':

c²=36; ⇔c=±6

7 0

3 years ago

Read 2 more answers

Problem is attached, please show steps

In-s [12.5K]

Answer:

Step-by-step explanation:

$cos\theta=\frac{adjacent~side}{hypotenuse}=\frac{14\sqrt{2} }{21} =\frac{2\sqrt{2} }{3}$

4 0

3 years ago

How do I do this question folks?

horsena [70]

Answer:

Correct answer: B

Step-by-step explanation:

Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.

In the graph, you can see that the graph is defined for $-3\leq x < 1$ (not-including 1 because there is an open hole there, indicating it is not part of the domain), and $2\leq x\leq 4$ .

Now that we know the domain, we can attach it to the graphs that lie on those domains.

We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.

At this point, you can just start crossing off answers that don't meet this criteria.

Cheers!!

7 0

3 years ago

What is the slope of the line that passed through (3,-4) and (4,9)

Advocard [28]

Step-by-step explanation:

<u>Step 1: Find the slope</u>

<u /> $m=\frac{y_2-y_1}{x_2-x_1}$