Answer:
There isn't a way to prove that the triangles are similar.
Explanation:
Two triangles are similar if they have the same interior angles and the corresponding sides are proportional.
So, to prove that the triangles are similar we can use:
SSS: The three corresponding sides are proportional
SAS: Two sides are proportional and the angle between them is equal
AA: Two angles have the same measure.
In this case, the yellow angles are equal because they are vertically opposite. They are formed by two lines that intersect.
On the other hand, the side with length 3.6 is corresponding with the side with length 9 but the side with length 4.8 is not corresponding with the side with length 12.
Then, there isn't a way to prove that the triangles are similar.
Answer:
12
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Given
x² - 7x + 10 = 28 ( subtract 28 from both sides )
x² - 7x - 18 = 0 ← in standard form
(x - 9)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 2 = 0 ⇒ x = - 2
The distance between the solutions is
| 9 - (- 2) | = | 11 = 11 units
Answer:
<em> 3 + 3x = 45 ; x = 14 </em>
Step-by-step explanation:
45 = 3x + 3 ⇒ <em>x = 14</em>
Since the triangle has a 30° angle and a right angle which is 90°, this triangle must be a 30 - 60 - 90 triangle, which is a triangle with special properties. The length of the leg adjacent to the 30° angle is equal to the √3 times x where x is the length of the angle adjacent to the 60<span>° angle. Here is a visual representation:
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