Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.
So you all need to do is replace each letter by its value and do the calculus:
5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
=-16 + 3
= -13
So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)
Hope this helps! :)
Answer:
$120
Step-by-step explanation:
$1,440/12= $120
Hope this helps :)
<h2>
Answer:</h2>
This is impossible to solve.
<h2>
Step-by-step explanation:</h2>
For an equation or inequality to be solvable, there must be the same number of inequalities as variables. Here, there is an x and there is a y. This means that you need at least two inequalities to solve it.
You can, however, rearrange to get x or y on one side.
This can be done for x:
5x < 10 + 2y
x < 2 + 2/5y
Or it can be done for y:
5x < 10 + 2y
5x - 10 < 2y
2.5x - 5 < y
