Answer:
40° and 140°
Step-by-step explanation:
A linear pair of angles sum to 180°
let x be one angle then the other is 3.5x and summing gives
x + 3.5x = 180
4.5x = 180 ( divide both sides by 4.5 )
x = 40
one angle = 40° , the other is 3.5 × 40° = 140°
Hello! To find out the amount of ceramic chickens he has in total, we can write and solve a proportion. Set it up like this:
11/x = 10/100
This is because 11 was just the 10% given as gifts, and we are looking for the total amount. Cross multiply the values in order to get 1,100 = 10x. Divide each side by 10 to isolate the x. 1,100/10 is 110. Let's check. 110 * 10% (0.1) = 11. There. x = 110. Cam has 110 ceramic chickens total.
Answer: -8a+7b-9
Step-by-step explanation:
(-7a+7b-1)-(a+8)
-7a+7b-1-a-8 (distributive property)
-8a+7b-9 (combine like-terms)
The first term will be 3 and the sum of the first 9 terms will be 81.
<h3>What is Arithmetic progression?</h3>
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given,
Six terms as 10.5
So,
a₆ = 10.5
Common difference(d) = 1.5
The nth term of an AP is given by
= a + (n-1)d
So,
a₆ = a + (6-1)d
10.5 = a + 5(1.5)
a = 3
Now,
The Sum of n terms is given by
S = n/2[2a + (n-1)d]
S = 9/2[6 + 8(1.5)]
S = 81
Hence the first term will be 3 and the sum of 9 terms will be 81.
For more about Arithmetic progression
brainly.com/question/20385181
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Answer:
280 6th graders
Step-by-step explanation:
65%=0.65
x=total students
0.65x=182
x=182/0.65
x=280
