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drek231 [11]
2 years ago
7

PLEASE HELP

Mathematics
1 answer:
Georgia [21]2 years ago
6 0

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

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Graph the system of equations <br> 4x+4y=16<br> x+6y=-6
never [62]

Answer:

Graph has been shown in the attached file.

Step-by-step explanation:

We have been given the system of equations

4x+4y=16.......(1)\\x+6y=-6.........(2)

Both the equation represents a straight lines. We can find the x and y intercepts of these lines to graph.

The intercept form of a line is given by

\frac{x}{a}+\frac{y}{b}=1

Here a is the x - intercept and b is the y-intercept.

Divide both sides of the equation (1) by 16

\frac{4x}{16}+\frac{4y}{16}=1\\\\\frac{x}{4}+\frac{y}{4}=1

Hence, x-intercept = 4 and the point is (4,0)

y-intercept = 4 and the point is (0,4)

Similarly, for the second line

Divide both sides of the equation (2) by -6

\frac{x}{-6}+\frac{6y}{-6}=1\\\\\frac{x}{-6}+\frac{y}{-1}=1

x-intercept = -6 and the point is (-6,0)

y-intercept = -1 and the point is (0,-1)

We'll plot these points in the xy- plane and then join to get the graph of these lines.


7 0
3 years ago
Solve the inequality. Graph the solution
Evgen [1.6K]

Answer:

<em>t ≥ -12 </em>

Step-by-step explanation:

4 ≥ -t/3 Original Equation

4 <em>(3</em>) ≥ -t/3 <em>(3) </em>Cancel out the division

12 ≥ -t

12 <em>(-1)</em> ≥ -t<em> (-1) </em>Canceling Negative on the variable, Flipping over Inequality Sign

<em>t ≥ -12 </em>

3 0
2 years ago
Read 2 more answers
Find the distance between (−4, −6) and (−1, 2). <br> *Please Check my answer*
Sphinxa [80]
Yes! That is correct!
<span />
8 0
3 years ago
Which of the points are solutions to the inequality?
Andrew [12]

Answer:

<h2>(0,1) and (2,5).</h2>

Step-by-step explanation:

The graph of the inequality is attached.

Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression

y

From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.

<h3>For (0, 1):</h3>

1

Which is true, so (0, 1) is solution.

<h3>For (2, 5):</h3>

5

Which is true, so (2, 5) is solution.

Therefore, the solutions are (0,1) and (2,5).

4 0
3 years ago
What’s the answer to 3\4(8x + 12) = 3
Artemon [7]

Answer:

x = - 1

Step-by-step explanation:

\frac{3}{4} (8x + 12) = 3 ( multiply both sides by 4 to clear the fraction )

3(8x + 12) = 12 ( divide both sides by 3 )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

4 0
2 years ago
Read 2 more answers
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