Answer:
No solution
Step-by-step explanation:
Unfortunately your screenshot has cut off the final answer choice, if it says "no solution" you should choose that because these two lines are parallel. Meaning they will never intersect, and the point of intersection is usually the solution.
Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because

2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus

<h2>The solution is (x, y) = (-3, -1)</h2>
<em><u>Solution:</u></em>
<em><u>Given, system of equations are:</u></em>
-3 - x = 0 --------- eqn 1
-3y = -3 - 2x -------- eqn 2
From eqn 1,
- 3 - x = 0
<h3>x = -3</h3>
<em><u>Substitute x = -3 in eqn 2</u></em>
-3y = - 3 - 2(-3)
-3y = -3 + 6
-3y = 3
<h3>y = -1</h3>
Thus the solution is (x, y) = (-3, -1)
Answer:
<h3>
There is one unique real number solution at (–1, –3)</h3>
Step-by-step explanation:
Given the two linear equation
–4x – 7 = y ...1
x² – 2x – 6 = y ...2
Equating the left hand side of both equations since they are equal to the same variable y will give;
Substituting x=1 into equation 1 we have;

This means there is only one unique real number solution at (-1, -3)
Answer:
The prime factorization of 42 is 2 × 3 × 7
Step-by-step explanation: