We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.
<h3>How to interpret similar triangles?</h3>
From triangle similarity theorems, we know that;
If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
Now, from the given diagram, we see the ratio of corresponding sides are congruent as;
45/30 = 54/36 = 36/24 = 1.5
Thus, the triangles are similar by SSS similarity theorem
Read more about Similar Triangles at; brainly.com/question/14285697
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Answer:
Based on the calculations, the store with the better buy is The Eyewear Shoppe
Step-by-step explanation:
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.
For The Eyewear Shoppe:
The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.
Based on this promotion, you can get 2 sunglasses for $60
For Sunglass House
Sunglass House sells the sunglasses go 20% off the $40 retail price.
A Sunglass = $40 - ( 20%× $40)
= $40 - $8
= $32
Two sunglasses will cost = $32 × 2
= $64
Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe
(5y+6y)+(4x+8y)+(1z-5y)=
5y+6y+4x+8y+1z-5y=
14y+4x+1z
Melissa combined unlike terms
Find the mean, median, and mode of the data with and without the outlier. 101, 110, 99, 100, 64, 112, 110, 111, 102
svetoff [14.1K]
Answer:
Step-by-step explanation:
First step
Put the numbers in numerical order.
64 99 100 102 110 110 111 112
Median
Median is the middle number. If the number of numbers is even then you take the middle 2 and average them.
This has 8 entries so you take the middle 2 and average them.
102 and 110 are the middle 2. They can be averaged.
(102 + 110)/2 = 212/2
212 / 2 = 106
The median is 106.
Mode
The mode is the entry with the most number that are the same.
110 is given twice. Nothing else is. So the mode is 110
Mean
The mean is the average. You add the eight numbers and divide by 8.
Sum = 64 + 99 + 100 + 102 + 110 + 110 + 111 + 112
Sum = 808
Now divide by 8
Mean = 808/8
Mean = 101
