This question is a bit tedious. In order to answer it, we will have to find the distance between each vertex using the distance formula.
d² = (x - x)² + (y - y)² Distance Formula
d² = (-3 - 8)² + (7 - 7)² Substitute for points Q (-3,7) and R (8,7)
d² = -11² + 0² Collect like terms
d² = 121 Square
d = 11 Take the square root of both sides to cancel out the exponent on the left
The distance between points Q and R is 11. Now let's use the formula on the rest of the points.
R and S
d² = (8 + 6)² + (7 + 5)² Keep in mind that when you subtract a negative, it becomes a positive.
d² = 196 + 144
d² = 340
d = 18.4
Q and S
d = 12.4
This is scalene triangle, because none of the sides are equal. I was a bit rushed on this one, so you might want to check my math.
Answer:
4 < x < 12
Step-by-step explanation:
Given the compound inequality statements:
17 < 4x + 1 and 49 > 4x + 1
<h3>17 < 4x + 1 </h3>
Switch sides:
4x + 1 - 1 > 17 - 1
4x > 16
4x/4 > 16/4
x > 4
49 > 4x + 1
Switch sides:
4x + 1 < 49
4x + 1 - 1 < 49 - 1
4x < 48
4x/4 < 48/4
x < 12
Therefore, the correct answer is: 4 < x < 12
Answer:
x = 11
Step-by-step explanation:
• All interior angles in a triangle add up to 180.
• The square in the triangle represents 90°
90 + 45 + 1 + 4x = 180
136 + 4x = 180
4x = 180 - 136
4x = 44
x = 11
5.32 x 1.9 equals <span>10.108
</span>i cant explain but that is the answer
Step-by-step explanation and Answer:
1: 2x+6=96 => x = 45
2: 2x+3+x-6=180 => x = 39
3: x+4+3x+2=90 => x = 21
4: x+16=4x-5 => x = 7
5: 2x+20+x+40=180 => x = 40
6: 7x-9+4x=90 => x = 9