Answer:
x<1 or x>5
Step-by-step explanation:
2x -3< -1 or -3x < -15
Solve them separately then put them back together
2x-3 < -1
Add 3 to each side
2x-3+3<-1+3
2x<2
Divide by 2
2x/2 <2/2
x<1
-3x < -15
Divide each side by -3, remembering to flip the inequality
-3x/3 > -15/-3
x>5
Put them back together
x<1 or x>5
<em>∠PYG = 137°</em>
Step-by-step explanation:
We know that a straight line is equal to 180°, so by looking at the image we can tell that if we added both of these angles together they would be equal to the straight line.
We can make an equation by adding these two angles together and setting them equal to 180.

We can combine like terms.

Subtract 244 from both sides.

Divide.
<em><u>p = -8</u></em>
Now that we have found what p is equal to, we can plug it in to find the measure of ∠PYG.

<em><u>= 137</u></em>
~
If you wanted to double check this answer, we can plug in -8 for p on the other side and make sure both would be equal to 180.
Like this...

= 43
And we know that...
137 + 43 = 180
~
So...
<u><em>∠PYG = 137°</em></u>
<u><em>∠HYG = 43°</em></u>
Answer:
5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
The side AB measures option 2.
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula 
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), (
) = (4, 5) and (
) = (2, 1). Substituting these values in the distance formula, we get

So the side AB measures
units long which is the second option.