First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°
(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC
6+8+10 = 24
24/60 = 2/5
10/x = 2/5
50 = 2x
25 = x
Standard form is like
ax + by = c
4y - 3 = -5x
5x + 4y - 3 = 0
5x + 4y = 3 <----- answer
Answer:
Sacramento
Step-by-step explanation:
S 11+9+14+12+8=54
SF 11+8+8+9+12=48
Length of the line segment is 5 units.
Step-by-step explanation:
- Step 1: Length of the line segment that connects A and B is the distance between the points A (1, -1) and B(1, 4). x1 = 1, x2 = 1, y1 = -1, y2 = 4
- Step 2: Calculate the distance using distance formula √(x2 - x1)² + (y2 - y1)²
⇒ Length = √(1 - 1)² + (4 - -1)² = √5² = 5 units
