Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
brainly.com/question/1962219
#SPJ1
Answer:
-√2
Step-by-step explanation:
x² - 2x = 8 Apply the square root to both sides
√x² - 2x = √8 Divide both sides by -2
x = -√2
<u><em>Extra info:</em></u>
√8 = 2√2 = 2.828427125
-√2 = -1.414213562
Answer:
Yes, these create an isosceles triangle, where two sides are equivalent
The mixture contains 61.5% of water.
<u>Step-by-step explanation:</u>
Total parts = 4+ 2.5 = 6.5
Parts of water =4
parts of drink = 2.5
Percent of water in the mixture = 4 × 100/ 6.5
= 400/6.5
= 61.53%
It is rounded to the nearest tenth as 61.5%.
