Answer:
Option 3.
Step-by-step explanation:
A parallelogram is said to be a rectangle if
1. Opposite pair of lines are equal and parallel
2. Adjacent lines meet each other at 90 degrees.
Hence we have third option which satisfies both the conditions.
Given choices:
(1) division property of equality
(2) factoring the binomial
(3)completing the square
(4)subtraction property of equality
Answer : (2) factoring the binomial
Step 1: 
Step 2:![-c = a[x^2+\frac{b}{a} x]](https://tex.z-dn.net/?f=%20%20-c%20%3D%20a%5Bx%5E2%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%5D%20%20%20)
In step 2, 'a' is taken out from 
. when we take out 'a' we divide each term by 'a'. so it becomes ![a[x^2+\frac{b}{a} x]](https://tex.z-dn.net/?f=%20%20%20a%5Bx%5E2%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%5D%20%20%20)
'a' is factored out in step 2. we call it as factoring a binomial.
Answer: 30 baskets.
<u>Step-by-step explanation:</u>
You need to find the Greatest Common Factor (GCF).
240 (apples) = 2 x 2 x 2 x 2 x 3 x 5
150 (pears) = 2 x 3 x 5 x 5
GCF (240, 150) = 2 x 3 x 5
= 30
You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.
Answer:
range is between 55.5 to 64.5
Step-by-step explanation:
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches
68% is 1 standard deviation from mean
To get the range of 1 standard deviation we add and subtract standard deviation from mean
mean = 60
standard deviation = 4.5
60 - 4.5= 55.5
60+4.5 = 64.5
1 standard deviation is between 55.5 to 64.5
That is 68% range is between 55.5 to 64.5
Answer:
see below
Step-by-step explanation:
12.5x − 10.2 = 3(2.5x + 4.2) - 6
Use the distributive property to distribute the 3
12.5x − 10.2 = 7.5x + 12.6 − 6
Combine like terms
12.5x − 10.2 = 7.5x + 6.6
Add 10.2 to each side of the equation by using the addition property of equality
12.5x = 7.5x + 16.8
Subtraction 7.5x from each side of the equation by using the subtraction property of equality
5x = 16.8
Divide by 5 on each side by using the division property of equality
x = 3.36
