These two lines are congruent (the same) so we can set them equal to each other and solve.
5x-4=3x+6
The first thing we need to do is subtract 3x from both sides leaving us with 2x-4=6
Now we can add 4 to both sides leaving us with 2x=2
Now we need to divide both sides by 2 to get x alone.
Giving us our final answer of x=1
Complementary angles mean the angles add up to 80 and Supplementary angles mean the angles add up to 180. So 120 doesn't have those kinds of angle pairs. The only combo i can think of is 40,40,40.
Hello there!
Since the person goes there and back, we need to multipy 15(2)=30. 30(5)=150; therefore, the person spends 150 minutes. I hope I helped!
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
Here, 3x-70 = x [ corresponding angles ]
3x-x = 70
2x = 70
x = 35
So, ABC = 3x-70 = 3(35)-70 = 105-70 = 35 degrees
So, your final answer is 35