Answer:
a. there are sometimes infinitely many solutions to the system
b. will always have one solution
c. There is never any solution for the system
Step-by-step explanation:
22a If two lines have the same slope, they can either be parallel lines which never intersect and have no solution or the same line which have infinite solutions. So there are sometimes infinitely many solutions to the system depending on if they are the same line or are parallel lines
b If the lines have different slopes, they will eventually intersect each other at a point, so they will always have one solution
c. If the lines have the same slope and a different y intercept, they are parallel lines and will never intersect. There are no solutions when they never intersect. There is never any solution for the system
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
So first you would plug 3 into the x values in the equation. (3)+1/2+15-1/2. EVALUATE AND THE ANSWER IS 18!!
1. 13*13*13 =2197
2. 2/5*2/5 = 4/25
3. 0.9*0.9 = 0.81
The true statement about the residual plot is (a) The regression line is a good model because there is no pattern in the residuals.
<h3>How to interpret the residual plot?</h3>
For a residual plot to be considered a good model, the points on the plot must be at random and they must not follow a specific pattern
From the graph, we can see that the points are scattered
Hence, the true statement about the residual plot is (a)
Read more about residual plots at:
brainly.com/question/9329287
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