Adding to the solutions and points gotten, we can further say that: Opposite angles of the parallelogram are congruent, by the theorem of Side Angle side (SAS) (i.e angle AEB = CED )
<h3>Meaning of Congruence</h3>
Congruence can be defined as a term used to depict a state of two object being equal, in harmony, and in agreement.
The congruence of a shaped is verified by some laws which they both must satisfy.
In conclusion, the triangle is congruent with the fact stated in the question and the additional fact added above.
Learn more about congruence: brainly.com/question/3168048
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Answer:
a > m/bp
Step-by-step explanation:
flip the equation
abp > m
divide both sides with bp
abp/bp > m/bp
a > m/bp
Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
15 cm
Step-by-step explanation:
Given that :
Reading at one end, initial reading = 3.5 cm
Reading at the other end, final reading = 18.5 cm
Length of needle :
Final Reading - Initial reading
18.5cm - 3.5cm
= 15cm