Answer:
2×5×7²
Step-by-step explanation:
You will start by using the factor tree.
490
^
2 245
^
5 49
^
7 7
N is equal to 2.5
I divided 20 by 5 to get 4. = 20 ÷ 5 = 4. So, I divide 10 by 4 to get n. = 10 ÷ 4 = 2.5
Or we can do this solution.
20 5
---- = ---- ; do cross multiplication. 20n = 10(5)
10 n
20n = 50 ; to get n, divide both sides by 20. 20n / 20 = 50 / 20 = n = 2.50
Whichever way: 20/10 = 5/2.5
Answer:
A. x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
Let's move all the terms to one side:


Now, we want to use the quadratic formula, which states that for a quadratic equation of the form
, the roots can be found with the equation:
or
.
Here, a = 1, b = -5, and c = -2, so plug these in:
OR

Thus, the answer is A.
Hope this helps!
That would be the associative property
Answer:
The measure of angle PQR is 74 degrees
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Bisect an angle means divide the angle into two equal parts in
measures
- Ex: If angle ABC is bisected by a ray BD then:
- Angle ABC is divided into two equal parts in measure
m∠ABD = m∠CBD and
m∠ABC = m∠ABD + m∠CBD
- So we can say measure of angle ABC is twice measure of angle
ABD or twice measure of angle CBD
*<em> Lets solve the problem</em>
- Julio bisects angle PQR and labels a point on the bisector as S
∴ m∠PQS = m∠RQS
∴ m∠PQR = m∠PQS + m∠RQS
∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)
- He measures angle PQS with a protractor and find its measure is
37 degrees
∵ m∠PQS = 37°
∴ m∠PQR = 2 × m∠PQS
∴ m∠PQR = 2 × 37 = 74°
∴ The measure of angle PQR is 74 degrees