Hi there!
The congruency theorem that proves these two triangles congruent is AAS. This is because both triangles have two congruent angles and the side comes from the side that can be proved congruent in both triangles by the reflexive property.
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Answer:
The speed will be "144 mph".
Step-by-step explanation:
Let the speed of the plane be "x mph".
then,
The car's speed be "x-130 mph".
According to the question,
⇒ 
By applying cross-multiplication, we get
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Answer:
C= 27
G= 37
J=57
Z= 1
Step-by-step explanation:
These are the degrees because of the Triangle Sum Theorem which states that The sum of the measures of the angles in a triangle is 180°. So angle C for example is 27 because angle A is 53 and angle B is 100 add both of those and you get 153 so our equation would be 153+c=180, c being the angle, so then to solve this you do do 180-153 and that equals 27 so therefore, 153+27=180. This process applys to all the other angles as well ^w^
Answer:
x = 5
Step-by-step explanation:
Given
x =
( square both sides )
x² = 3x + 10 ( subtract 3x + 10 from both sides )
x² - 3x - 10 = 0 ← in standard form
(x - 5)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
As a check
Substitute these values into the equation and if both sides are equal then they are solutions.
x = 5
right side =
=
= 5 = left side ← solution
x = - 2
right side =
=
= 2 ≠ - 2 ← not a solution
Thus x = 5 is the solution to the equation