Answer:
Step-by-step explanation:
The measure of angle one is 115 degrees because the angle with 115 degrees and angle one are alternate interior angles and alternate interior angles are congruent.
The measure of angle two is also 115 degrees because angle one and angle two are vertical angles and vertical angles are congruent.
The measure of angle three is 148 degrees because same side interior angles are always supplementary (supplementary = adds up to 180 degrees).
The measure of angle four is also 148 degrees because angle three and angle four are vertical angles and vertical angles are congruent.
The measure of angle five is 32 degrees because angle five and the angle which is given to be 32 degrees are alternate interior angles and alternate interior angles are congruent.
The measure of angle six is 65 degrees because straight lines are 180 degrees on each side. Angle six and the 115 degree angle (which is given) are supplementary (adds up to 180 degrees) because definition of a straight line.
<h2>M A K E S U R E T O U N D E R S T A N D</h2>
X = The amount of cd's
Y = Jewelry sets
X + Y = 50
X + 8y<_50
20 + 8Y<_50
Subtract 20 from both sides.
8Y<_30
Divide by 8 on both sides
Y<_3.75 (3 total)
She can buy 3 jewelry sets.
Step-by-step explanation:
you can find the factors of it then see which two numbers multiply together to form the integer.
Answer:
9 Signs
Step-by-step explanation:
The hiking trail is 4 kilometer long.
Signs are placed at the beginning and at the end of the trail.
4km = 4000m
We can solve this using simple arithmetic progression.
- The first term,a= 0
- The common difference,d= 500.
- The last term,l= 4000.
Therefore:
Last term, l=a+(n-1)d
4000=0+500(n-1)
4000=500n-500
4000+500=500n
4500=500n
Divide both sides by 500
n=9
Therefore, there are a total of 9 signs on the entire trail.
CHECK
The signs are placed at this marks
0m,500m,1000m,1500m,2000m,2500m,3000m,3500m and 4000m
Remember:
The product of the sum of two perfect cubes:
a³ + b³ = (a + b)(a² - ab + b²)
The product of the difference of two perfect cubes:
a³ - b³ = (a - b)(a² + ab + b²)
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Remember to follow PEMDAS.
(5c)(5c) = 25c²
(5c)(-2/3) = -10c/3
(2/3)(5c) = 10c/3
(2/3)(-2/3) = -4/9
25c²- 10c/3 + 10c/3 - 4/9
Combine like terms
25c² (-10c/3 + 10c/3) - 4/9
25c² - 4/9
25c² - 4/9 is your answer
hope this helps
