Answer:
Step-by-step explanation:
2x - 3y = 9
-5x - 3y = 30
For simplicity, let's eliminate the y variable in this system by multiplying the second equation by -1:
-1·(-5x - 3y = 30)
==> -1·-5x - -1·3y = -1·30
==> 5x + 3y = -30
Add this equation to the first original equation:
2x - 3y = 9
+ 5x + 3y = -30
__________________
2x + 5x - 3y + 3y = 9 + -30 ==> 7x + 0y = -21 ==> 7x = -21
7x = -21
7x/7 = -21/7 ==> x = -3
Plug this value for x into either of the original equations from the system (I will use the first equation) to solve for y:
2x - 3y = 9
2·(-3) - 3y = 9
-6 - 3y = 9
Add 6 to both sides of the equation:
-6 + 6 - 3y = 9 + 6
-3y = 15
Divide both sides of the equation by -3:
-/-3 = 15/-3
y = -5
Answer:
Step-by-step explanation:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
1694
Step-by-step explanation:
The $43,329 in this question is just to trick you, so don't worry about this number.
We know her parents have already payed $9,966 for this years taxes.
But they need to pay a total of $11,660 for the year.
11,660 - 9966
=1694
By comparing the right triangle ABC with the triangle XYZ, we will see that:
<h3>
How to find the given segments?</h3>
So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.
Also, remember that for right triangle we have the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Now, the problem tells us that:
tan(x) = 5/2.5
For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.
Then we have:
YZ = 5
XY = 2.5
Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:
AC = 2*XY = 2*2.5 = 5
CB = 2*YZ = 2*5 = 10
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Okay so 8 (hector) - 3(Mary) = 5 years apart
So, 16 (hector) - 5 (years apart) = 11 (Mary’s age)