Guys pls help me!!!!!!

Mathematics

1 answer:

Anettt [7]2 years ago

5 0

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

$180 - 54$
$126$

2. Now, we know that adjacent of 54 is 126. Also, we know that $l$ ║ $m$ ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

You might be interested in

what is the greatest number of pieces you can cut a cake into by making four straight cuts with a knife?

Tatiana [17]

You can make 8 pieces by cutting it 4 straight times

5 0

3 years ago

Read 2 more answers

Find the sum of 18 + (-15). A. 3 B. -3 C. 33 D. -33

Delvig [45]

Answer: 3

Step-by-step explanation: To find the sum of these two numbers, remember that adding a negative is exactly the same thing as subtracting a positive. In other words, when we see 18 + (-15), we can change the problem so it's easier to understand and we will change in to 18 - 15.

Now, this is just basic subtraction.

18 - 15 = 3

Therefore, 18 + (-15) = 3

6 0

3 years ago

Make and explain a prediction about the nature of the solution to the following system of equations, and then solve the system.

Dominik [7]

Answer:

(3,-4) and (-3,4)

Step-by-step explanation:

$x^2+y^2=25$

$4x+3y=0$

The first equation is a circle with radius of 5 units

The second equation is a line which has slope $\frac{4}{3}$

So, for 4 unit change in y there will be 3 unit chang in x.

The circle has its center at the origin and the line passes through the orgin.

The line will intersect the circle at two points giving us two solutions

From the second equation we get

$y=-\frac{4}{3}x$

Applying in the second equation

$x^2+\left(-\frac{4}{3}x\right)^2=25\\\Rightarrow x^2+\frac{16}{9}x^2=25\\\Rightarrow \frac{9x^2+16x^2}{9}=25\\\Rightarrow 25x^2=225\\\Rightarrow x^2=\frac{225}{25}\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3$