Answer:
72
Step-by-step explanation:
Corresponding angles on parallel lines always have the same measure.
Answer:The bar model is a pictorial representation of a problem. In a word problem the bar model helps students to visualize the relationship between the numbers given and what are they looking for. For subtraction ( and addition ) you can use Part - Whole bar model. Whole - Part 1 = Part 2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given expression:
To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².
[Where "a and b" are the first and second term in (a - b)²]
In this case, the first term of (2x - 12)² is "2x" and the second term is "12".
![\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}](https://tex.z-dn.net/?f=%5Crightarrowtail%20%282x%29%5E%7B2%7D%20-%202%282x%29%2812%29%20%2B%20%2812%29%5E%7B2%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5B%5Csmall%5Ctext%7BFirst%20term%20%3D%20a%20%3D%202x%3B%20Second%20term%20%3D%20b%20%3D%2012%5D%7D)
Now, simplify the expression.
AA Theorem: To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle. All three triangles have a right angle and they all share the common angle at point S.
Flagpole is 32 meters from point S: so 1.5/8 = x/32 where x is FG
cross-multiply: 32 • 1.5 = 8x
48 = 8x
x = 6 meters
building is a total of 240 meters from point S, so: 1.5/8 = x / 240 where x is BD
cross-multiply: 240 • 1.5 = 8x
360 = 8x
<span>x = 45 meters</span>
