Answer:
D. g(x) = (x + 2)^2 + 3(x + 2) + 2
Step-by-step explanation:
To shift the function to the left by 2 units, x is replaced by x - (-2) = x+2. Then you have ...
... f(x+2) = g(x) = (x+2)² +3(x+2) +2 . . . . matches selection D
the theorems that explain congruence in the given triangles are:
fig 1 -SSS
fig 2-SAS
fig 3-ASA
fig 4-AAS
<h3>
What is congruence in triangle?</h3>
if two triangles have the same number of sides and angles, they are said to be congruent. However, only three of these six angles and sides need to be examined in order to determine whether the three are congruent. The five congruent triangle theorems are therefore SSS, SAS, AAS and ASA.
- The reason why it is SSS in figure 1 is because the three sides of one are equal to the three sides of the other.
- Figure 2 follows SAS indicates that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
- Figure 3 follows ASA theorem, first triangle's two angles and side that is included between its angles are equivalent to the second triangle's corresponding two angles and side, which is why the equation is asa.
- In figure 4 follows AAS theorem, two angles from one triangle and a non-included side from another triangle are congruent, which is why the symbol aas is used.
To know more about Congruence Theorem visit:
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These are similar triangles so proportions hold. the short side to the bottom side proportion must be the same in both triangles. to solve it
25/30 = 35/x. (25+10=35 is the side of the bigger triangle
cross multiply and solve for x
25x=1050
x=1050/25=42
the scale factor is 6 by 8
Answer:
x=23
Step-by-step explanation:
The sum of the angles in a 7 gon are 900 degrees.
We add the sides.
7x+2x+8x+60+8x+35=900
= 25x+95 degrees =900
We subtract 95 degrees from both sides.
so we get
25x=805 degrees
x=32.2 degrees
Hope this Helps!
