Given : ABC
To prove that M<1 + m<2 + m<3 = 180, we need to use the given information that ABC is a triangle.
In a triangle, the sum of the interior angles is always equal to 180 degrees.
Let's label the angles of triangle ABC as follows:
Angle A as M<1
Angle B as m<2
Angle C as m<3
Using the given information, we can rewrite the equation as:
M<1 + m<2 + m<3 = A + B + C = 180
This equation holds true because it is a fundamental property of triangles. Therefore, the statement is proven.
Answer:
y=3
Step-by-step explanation:
12(y+6)=36y
12y+72=36y
72=24y
y=3
Hope this helps! :)
Answer:
To find the value of y that makes the equation 12(y+6)=36y true, we need to solve for y. Let's break down the steps:
1. Distribute the 12 to both terms inside the parentheses:
12y + 72 = 36y
2. Next, we want to isolate the variable y. To do this, we'll move the 12y term to the other side of the equation by subtracting 12y from both sides:
72 = 24y
3. Now we have 24y on one side. To solve for y, we divide both sides of the equation by 24:
72/24 = y
4. Simplifying the left side gives us:
3 = y
Therefore, the value of y that makes the equation true is y = 3.
<3
B. scatterplot
C. box-and-whisker plot
D. histogram
The decrease in price is $18. The percentage decrease is calculated by dividing the decrease by the original price and multiplying by 100, which results in a 15% decrease.
The problem involves finding the percentage decrease of a price from $120 to $102. The first step is to find out how much the price decreased. This involves subtracting the new price ($102) from the original price ($120), which gives us an amount of $18. Now, the percentage decrease is computed by dividing this decrease ($18) by the original price ($120) and multiplying the result by 100. Hence, Percentage decrease = ($18 / $120) * 100% = 15%.
Therefore, the price has decreased by 15% from yesterday to today.
Learn more about percentage decrease here:
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(100 + 4z)20