Answer: PA = ST, PB = SU, AB = TU ⇒ ∠P = ∠Q
<u>Step-by-step explanation:</u>
Point S is drawn to mimic point P.
The length of PA is measured and copied to point S so PA = ST.
The length of PB is measured and copied to point U so PB = SU.
Now we know that AB = SU.
Since all of the sides are congruent (if we were to draw a triangle), we can state that the triangles are congruent by Side-Side-Side Congruency Theorem. Thus, ∠P ≡ ∠S by CPCTC Theorem.
Answer/Step-by-step explanation:
✔️(3x² - 7x + 14) + (5x² + 4x - 6)
3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)
Add like terms
3x² + 5x² - 7x + 4x + 14 - 6
8x² - 3x + 8
Therefore:
✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.
✔️(2x² - 5x - 3) + (-10x² + 2x + 7)
2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)
Add like terms
2x² - 10x² - 5x + 2x - 3 + 7
-8x² - 3x + 4
Therefore:
✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4
✔️(12x² - 2x - 13) + (-4x² + 5x + 9)
12x² - 2x - 13 - 4x² + 5x + 9
12x² - 4x² - 2x + 5x - 13 + 9
8x² + 3x - 4
Therefore:
✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4
<span> 5×-(3+9)
Substitute 6 for x
5(6)-(3+9)
Add 9 to 3
5(6)-12
Multiply 5 by 6
30-12
Final Answer: 18</span>
Hey!
take the group of numbers and put them from least to greatest. then, take the lowest number and subract that from the highest number.
for example, if i have the numbers 2,7,4,5
i would put them in order (least to greatest), which would be: 2,4,5,7
then, you subract 7-2, and that equals 5 :)
hope this helped!! have a great day / night!
A
rational number is a number which can be expressed as a fraction whose
numerator and denominator are both integers and whose denominator is not equal
to zero. Rational numbers include all integers, fractions, mixed numbers, and
some decimal numbers.
Note : All terminating and repeating decimal
numbers are rational numbers because those numbers can be expressed as a
fraction. On the other hand, a non repeating number and non terminating
decimal, like square root of 2, is an irrational number.
Multiply by 1 to eliminate two decimal places.