Step-by-step explanation:
20.
In each proof, start by looking at what you're trying to prove. We want to prove that two triangles are congruent. To do that we use one of the following: SSS, SAS, ASA, or AAS.
To decide which one to use, look at the information given. We're given two pairs of congruent sides, so we can narrow the strategy down to either SSS or SAS. We aren't told anything about the third pair of sides, but we <em>can</em> see that ∠JNK and ∠MNL are vertical angles. We'll use this to show the triangles are congruent by SAS.
1. JN ≅ MN, Given
2. ∠JNK ≅ ∠MNL, Vertical angles
3. NK ≅ NL, Given
4. ΔJNK ≅ ΔMNL, SAS
21.
Repeat the same steps as 20. Again, we're trying to prove two triangles are congruent, so we have 4 strategies to choose from. Just like before, we're given two pairs of congruent sides, so we'll use either SSS or SAS. And again, we aren't told anything about the third pair of sides, but we can see that both triangles are right triangles. So we'll use SAS again.
1. MN ≅ PQ, Given
2. ∠LMN ≅ ∠NQP, Right angles are congruent
3. LM ≅ NQ, Given
4. ΔNML ≅ ΔPQN, SAS
Answer:
y = -1/4x - 2.25
Step-by-step explanation:
If you do this algebraically then use formula:
M= (y2 - y1) / (x2 - x1)
In other words, M= (-3 - (-1)) / (3 - (-5))
M= (-2) / (8)
M= -1/4 <-- This is your slope
To find y-intercept:
Substitute M in the slope-intercept equation (y=mx+b) with -1/4, y=-1/4x+b
Next, Substitute y and x with either point (-5, -1) or (3,-3)
-1 = -1/4(-5) + b <-- Solve for B
-1.25 -1 = 1.25 + b -1.25
-2.25 = b
Now just substitute b and m, and there's your answer:
y = -1/4x - 2.25
Hope this helps!
Answer:
Not possible
Step-by-step explanation:
To many equal signs!
Answer:
3
Step-by-step explanation:
The correct answer is:
3
Explanation
review
△WXY~△GEF.
6
3
6
Y
X
W
2
1
2
F
E
G
What is the similarity ratio of △WXY to △GEF?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.
solve
Look at the triangles.
6
3
6
Y
X
W
2
1
2
F
E
G
The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is
WX
EG
=
3
1
=3.
