Answer:
B. AA
Step-by-step explanation:
The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.
Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.
Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.
Answer:
B.
Step-by-step explanation:
C=3.14D
Circumference is equal to pi multiplied by the diameter, so 50 times 3.14 is equal to 157. 157 is closest to 160.
I hope this helps you
2x+8= -7-3x
5x= -15
x= -3
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
DE + EF = 4x+2
DE = x+7
EF = 7
Substitute these in
x + 7 + 7 = 4x + 2
x + 14 = 4x + 2
subtract x from both sides
14 = 3x + 2
subtract 2 from both sides
3x = 12
divide both sides by 3
x = 4
substitute this in to find the length of DE
DE = x + 7
(4) + 7 = 11
the answer is 11
