Answer:
Step-by-step explanation:
Given: Quadrilateral PQRS is a rectangle.
To prove: PR = QS
Proof: 1. Quadrilateral PQRS is a rectangle(Given).
2. Rectangle PQRS is a parallelogram (Definition of a rectangle).
3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).
4. m∠QPS = m∠RSP = 90° (definition of a rectangle)
5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)
6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).
7. PR = QS (Congruent line segments have equal measures).
Answer: 12.07 ounce/gallon.
Step-by-step explanation:
given data:
desired ratio = 90grams / liter of water.
ratio In ounce/ gallon
first we convert our grams to ounce
= 98grams / 28.35
= 3.175 ounce.
converting liter to gallons
= 1/3.8
=0.263 gallons
therefore;
= 3.175 ounce / 0.263 gallons
= 12.07 ounce/gallon.
Answer:
The standard form is 
Step-by-step explanation:
Given:
To Find :
standard form of
Solution:
A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc.
In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write.
Now lets check the degree of each term in the polynomial
The degree of 6x is 5
The degree of 8x is 1
The degree of 3x is 3
The degree of 7x is 7
Now rewrite the polynomial in the order of the degree, from highest to lowest
Mean = Sum of all the observations/ Number of observations = (87+46+90+78+89)/5 = 78
Variance = SD^2 ------ SD = Standard deviation
It means that with Variance, square root is never taken.
Therefore,
Variance = Summation of square of differences between observation and the mean divided by the number of observations.
That is,
Variance = {(87-78)^2 + (46-78)^2 + (90-78)^2 + (78-78)^2 + (89-78)^2}/5 = 274
so.. if she deposits a principal of 9,500 today, compounding quarterly for 3 years, she'll have A amount
how much additional amount? well, 18,000 - A
