How many extraneous solutions does the equation below have?
2 answers:
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Answer:
B (0, 285 ) , C (380, 0 )
Step-by-step explanation:
the first step is to obtain the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )
m = =
=
= -
= - 0.75 , then
y = - 0.75x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equatio
using (620, - 180 ) , then
- 180 = - 465 + c ⇒ c = - 180 + 465 = 285
So y- intercept is B (0, 285 )
y = - 0.75x + 285 ← equation of line
to find the x- intercept , let y = 0 in the equation and solve for x
0 = - 0.75 + 285 ( subtract 285 from both sides )
- 285 = - 0.75x ( divide both sides by - 0.75 )
380 = x
x- intercept is C (380, 0 )
Answer:
ΔJKL ≅ ΔMNO by SAS
Step-by-step explanation:
The question is incomplete, the question is as following:
ΔMNO is shown.
Which Δ below can be shown to be congruent to ΔMNO with only the given information?
Name the postulate that justifies your answer (SAS, AAS, HL, ASA or SSS).
Write the congruency statement for the triangles.
And see the attached figure which represent ΔMNO
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Check the given options to see which triangle from the option will be congruent to ΔMNO
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - which mean (angle - side - side)
The (angle - side - side) Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - which mean AAA (angle - angle - angle)
The AAA Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. This postulate is used to prove the similarity between the triangles.
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS (side - angle - side)
MN ≅ JK , MO ≅ JL , ∠M ≅ ∠J
