Answer:
The perimeter of triangle is 33 meters.
Step-by-step explanation:
Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:
7x - 17 = 4x - 5
7x - 4x = 17 - 5
3x = 12
x = 12 ÷ 3
x = 4
OR:
4x - 5 = 2x + 3
4x - 2x = 3 + 5
2x = 8
x = 8 ÷ 2
x = 4
Substitute x = 4 into all expressions:
7x - 17 = 7(4) - 17 = 11 meters
4x - 5 = 4(4) - 5 = 11 meters
2x + 3 = 2(4) + 3 = 11 meters
In order to find out the perimeters, you have to add up all the sides:
P = 11 + 11 + 11
P = 33 meters
Answer:
y=-x-2
Step-by-step explanation:
To find the slope of the line, you can use the slope formula. I did this with (-3,1) and (2,-4) to get: (1+4)/(-3-2). This ends up as -5/5, which simplifies to -1.
next I plugged in the slope and one point into the line equation: y=mx+b. I plugged in (-4)=(-1)(2)+b. This equated to b=-2.
Check Work:
The equation -4=(-1)(2)-2 is true
The equation 1=(-1)(-3)-2 is true
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-(3) since y=3, and we'll get x=7-, or x=7-2, or x=5.
x=5
y=2