Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴ 
= 
∴ x = 3
∴ The value of x is 3
Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)
-----------------------------------------
Explanation:
What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.
The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.
The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated
The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list
The bottom-right choice has a hypotenuse of 15, so we found the answer
Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)
Answer:
x = 23
Step-by-step explanation:
3x + 3 + x + 85 = 180
4x + 88 = 180
4x = 92
x = 23
Hopefully this helps!
Brainliest please?
Answer:
the answer is 4.25 or 4 1/4
Step-by-step explanation:
<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>
===============================================
Explanation:
The x intercept is (-2,0) which is where the graph crosses the x axis.
The y intercept is (0,-6) which is where the graph crosses the y axis.
-----
Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (-6-0)/(0-(-2))
m = (-6-0)/(0+2)
m = -6/2
m = -3
-----
The y intercept (0,-6) leads to b = -6
Both m = -3 and b = -6 plug into y = mx+b to get
y = mx+b
y = -3x+(-6)
y = -3x-6
-----
Now add 3x to both sides
y = -3x-6
y+3x = -3x-6+3x
3x+y = -6
-----
Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)
3x+y = -6
-2(3x+y) = -2(-6)
-2(3x)-2(y) = 12
-6x-2y = 12
which is what choice B shows.
