Answer:
9
Step-by-step explanation:
a^2 +b
Let a = -2 and b = 5
(-2)^2 +5
Exponents first
4 +5
Then add
9
I’m not sure try using fraction calculator it helps me a lot I’m sorry I didn’t help
Answer:
The width of the red tile would be
inches.
Step-by-step explanation:
Given blue tile has a length of
inches, and a width of
inches.
Also, length of similar tile is
inches.
Let us assume
as the width of red tile.
It is given in the question that both tiles are similar.
So, their area will be the same.
Area of blue tile would be ![4.25\times 6.75=28.6875\ inch^2](https://tex.z-dn.net/?f=4.25%5Ctimes%206.75%3D28.6875%5C%20inch%5E2)
Area of red tile would be ![12.75\times x](https://tex.z-dn.net/?f=12.75%5Ctimes%20x)
The area of blue tile would be equal to area of red tile.
![28.6875=12.75\times x](https://tex.z-dn.net/?f=28.6875%3D12.75%5Ctimes%20x)
![\frac{28.6875}{12.75}=x\\\\x=2.25](https://tex.z-dn.net/?f=%5Cfrac%7B28.6875%7D%7B12.75%7D%3Dx%5C%5C%5C%5Cx%3D2.25)
So, the width of the red tile would be
inches.
Hello from MrBillDoesMath!
Answer: SAS = side - angle -side congruence
SSS = side - side - side congruence
Discussion
:
In Plane Geometry, identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.
In one approach ("SSS") if you can show that 2 triangles have identical side lengths, then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)
In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle, then the triangles are congruent
It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook
Regards, MrB
By the Law of Sine,
![\frac{ \sin(77) }{89} = \frac{ \sin(46) }{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csin%2877%29%20%7D%7B89%7D%20%20%3D%20%20%20%5Cfrac%7B%20%5Csin%2846%29%20%7D%7Bx%7D%20)
Solve for x and get x = 65.7.