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iren [92.7K]
3 years ago
12

What rule should you use? help ​

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

Sine

Step-by-step explanation:

Using the Law of Sines, you can solve triangles when given two angles and a side.

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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
The bases of Triangle A and Triangle B are equal. The ratio of the height of
Lunna [17]

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \frac{1}{2} × 12 × 20 = 6 × 20 = 120 cm²

3 0
2 years ago
The solutions to the inequality y &gt; −3x + 2 are shaded on the graph. Which point is a solution?
likoan [24]
"(2, 0)" is the one solution to the inequality y > −3x + 2 among the following choices given in the question that <span>are shaded on the graph. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has actually come to your desired help.</span>
8 0
4 years ago
Read 2 more answers
Write each rational number as a decimal <br> 4/7= <br> 1/3= <br> 9/20=
Setler [38]

4/7=0.571

1/3=0.333

9/20=0.45

4 0
3 years ago
Write the equation of the line that is parallel to the line y = 3/2x + 5 and goes through the point (0, 7)
Lena [83]

Answer:

y = 3/2x + 7

Step-by-step explanation:

Because the ordered pair (0, 7) can be considered the y-intercept, all you have to do is replace the +5 with +7 to represent the new y-intercept. The slope stays the same as the lines are parallel.

5 0
3 years ago
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