Answer:
x = 17
Step-by-step explanation:
Since the triangles are congruent
<I = <P
3x+4 = 72-x
Add x to each side
3x+4+x = 72-x+x
4x+4 = 72
Subtract 4 from each side
4x+4-4 = 72-4
4x = 68
Divide each side by 4
4x/4 = 68/4
x = 17
<h2><em><u>
Answer: 1 5/7 </u></em>
</h2>
Step-by-step explanation:
Answer:
49 blue marbles
Step-by-step explanation:
From the question we are given;
- Total number of marbles = 58
- Blue marbles are 4 more than 5 times the red marbles
We need to determine the number of blue marbles;
Assuming the number of red marbles is x
Then, blue marbles will be 5x + 4
Therefore;
x + 5x + 4 = 58
6x + 4 = 58
6x = 54
x = 9
5x + 4 = 5(9) + 4 = 49
Therefore, the red marbles are 9 while the blue marbles are 49
Hence there are 49 blue marbles
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
Parallel has the same slope
2y + 8x = 18
Make it slope in form: y = mx + b
Divide the equation by 2
y + 4x = 9
Now subtract 4x
Y = -4x + 9
The slope is -4
Which equation also has same slope?
Solution: A
