ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.
<h3>What is the CPCTC Theorem?</h3>
If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.
Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)
∠RSP ≅ ∠QSP [right angles] (one pair of congruent included angles)
SP ≅ SP based on the reflexive property (one pair of congruent sides)
Therefore, ΔRSP ≅ ΔQSP by SAS.
Conclusively, PR ≅ PQ by CPCTC theorem.
Learn more about the CPCTC theorem on:
brainly.com/question/6076251
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Answer:
y= 4x+3
Step-by-step explanation:
To write your equation, solve for the slope.
(y2-y1)/ (x2-x1)
Find two coordinate points from the table.
(0,3) (1,7)
(7-3)/ (1-0)= 4
m=4
Use point-slope equation to find your equation.
(y-y1)=m(x-x1)
(y-3)=4(x-0)
y-3= 4x
y= 4x+3
Answer:
The answer is (5.91, 0.3).
The Algebraic equations (x - 20)² and x² - 20 have an equal value My number is 6.
<h3>What is an Algebra equation?</h3>
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 20 from the result.
Let the number be x.
If I subtract 20 from my number that is x - 20 then square the result that is (x-20)².
And if I square my number that is x² then subtract 20 from the result that is x² - 20.
Both the result are the same then we have
(x - 20)² = x² - 20
x² - 20x + 100 = x² - 20
-20x + 100 = -20
x = 6
My number is 6
More about the Algebra equation link is given below.
brainly.com/question/953809
Answer:
B
Step-by-step explanation:
Take f(x) and plug into g(x)
(2x+1)+14 = 2x+15
