Use the midsegment theorem
Answer:
9
Step-by-step explanation:
PEMDAS IS
parentheses
Exponents
Multiply and divide
Addition and subtraction
First you start with the parentheses so
1 + 2 = 3
Now you have 6/2 x 3
Multiply and divide means you either divide or multiply what ever comes first going left to right
So
6/2 = 3
3 x 3 = 9
If it was reversed we’d have
2 x 3/6 which would be
6/6 = 1
The types of items that cost less than $3.75 per item are Paperbacks and notebooks.
<h3>How do we determine the price of a unit item in a word problem?</h3>
The price of a unit item can be determined by dividing the total price by the number of units sold.
Given that:
Paperbacks sold 3 units for $10.65;
- 1 unit will be sold for = $10.65/3 = $3.55
Notebooks sold 4 units for $14.36;
- 1 unit will be sold for = $14.36/4 = $3.59
Puzzles sold 3 units for $11.85;
- 1 unit will be sold for = $11.85/3 = $3.95
Picture frame sold 4 units for $15.20;
- 1 unit will be sold for = $15.20/4 = $3.80
Therefore, from the above calculations, we can conclude that the types of items that cost less than $3.75 per item are Paperbacks and notebooks.
Learn more about calculating the unit price of an item here:
brainly.com/question/5028370
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Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
Sum of complementary angles always equal to 90°.
Given, <A and <J are complementary angles. So, we can set up an equation as following:
m<A+ M<J= 90
Next step is to plug in m<A = 5x + 30 and m<J = 4x +15 in the above equation. So we will get,
5x+30+4x+15=90
(5x+4x)+(30+15)=90 Group the like terms.
9x+45=90 Combine the like terms.
9x+45-45=90-45 Subtract 45 from each sides.
9x=45 By simplifying.
Divide each sides by 9.
x=5.
So, x=5.
