Answer:
<u>Statement </u> <u>Reason</u>
AC ≅ AR Given
∠1 ≅ ∠2 Given
∠A ≅ ∠A Vertical angles
ΔCAT ≅ ΔRAD ASA postulate
∠1 ≅ ∠2 corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.
Answer:
x = 2
Step-by-step explanation:
You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 25 from both sides of the equation:
5x + 25 (-25) = 35 (-25)
5x = 35 - 25
5x = 10
Isolate the variable, x. Divide 5 from both sides:
(5x)/5 = (10)/5
x = 10/5
x = 2
x = 2 is your answer.
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Answer:
Option C is correct, i.e. 2x² +7x -4.
Step-by-step explanation:
Given is (2x-1)(x+4)
Applying FOIL method:-
F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.
So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4
(2x-1)(x+4) = 2x² +8x -1x -4
(2x-1)(x+4) = 2x² +7x -4
Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.
The answer should be n=-8
