Answer:
Step-by-step explanation:
Given:
In ΔLMN and ΔXYZ, 
To find: criteria that needs to be shown to prove ΔLMN 
ΔXYZ using SAS similarity theorem
Solution:
According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.
In ΔLMN and ΔXYZ,
So, ΔLMN ΔXYZ by SAS similarity theorem if
Answer:
x=-6
Step-by-step explanation:
3x+8=-10
Isolate x and its coefficient by subtracting 8 from both sides
3x=-18
Divide by 3
x=-6
Answer: 460%
Step-by-step explanation: The decimal 4.6 equals 460%
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 4.6 × 100 = 460% (answer).
➥ The ease way:
1) Move the decimal point two places to the right: 4.6 → 46 → 460.
2) Add a % sign: 460%
Answer: 460%
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
??? What is the rest of the question?
