Answer plsss! If the measure of angle 2 is 48 degrees, what is the measure of angle 4? Why?

Mathematics

2 answers:

PolarNik [594]3 years ago

8 0

Answer:

The measure of angle 4 is 48 degrees.

Step-by-step explanation:

When two angles <u>forming an X</u>

shape share a common vertex and
oppose each other

the angle has the same value.

We call this type of angles opposing angles or vertical angles.

Crank3 years ago

3 0

Answer:the measure of angle 4 is 48 degrees

Step-by-step explanation:

The blue horizontal line crosses the red line at a point. Therefore, angle 2 and angle 4 are vertically opposite angles. Vertically opposite angles are equal. Therefore,

If the measure of angle 2 is 48 degrees, then the measure of angle 4 is also 48 degrees.

We can check by looking at the fact that the sum of the angles on a straight line is 180 degrees. It means that

Angle 1 + angle 2 = 180

Angle 1 = 180 - 48 = 132

Also,

Angle 1 + angle 4 = 180

Angle 4 = 180 - 132 = 48

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Read 2 more answers

2v^2-12 =-12v <br> Would really appreciate it loves❤️

Black_prince [1.1K]

For this case we have the following equation:

$2v ^ 2-12 = -12v$

Rewriting we have:

$2v ^ 2 + 12v-12 = 0$

Dividing by 2 to both sides of the equation:

$v ^ 2 + 6v-6 = 0$

We apply the quadratic formula:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

We have to:

$a = 1\\b = 6\\c = -6$

Substituting:

$x = \frac {-6 \pm \sqrt {6 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-6 \pm \sqrt {36 + 24}} {2}\\x = \frac {-6 \pm \sqrt {60}} {2}\\x = \frac {-6 \pm \sqrt {4 * 15}} {2}\\x = \frac {-6 \pm2 \sqrt {15}} {2}$