Answer:
161 degrees
Step-by-step explanation:
corresponding angles theorem
It should be noted that some of the examples of situations of transformation where the image of the object appear different but represent the same thing include:
-
The rigid transformation of geometric and three-dimensional shapes.
- The transformation of bank notes to an electronic form of money.
- The transformation of liquid water to ice and steam.
- The transformation of cube sugar to granulated sugar.
<h3>Analyzing transformations.</h3>
It should be noted that algebraic operations can be performed on polynomials in order to give equivalent expressions that have the same value.
In the example given above, it can be deduced that even though, there is a transformation as the things appear different, but its meaning remains the same.
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The value of the base in the given triangle is 22.96.
<h3>What is a triangle?</h3>
Three edges and three vertices make up the three sides of a triangle, which is a three-sided polygon in geometry. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic. Triangle's angle sum property is what this characteristic is known as.
We have given to find m, we will use cosine rule
cos ∅ = base/hypotenuse
Here ∅ = 35°
Base = m
Hypotenuse = 28
lets substitute the values and we get,
⇒ cos 35° = m/28
⇒ m = cos 35° × 28
⇒ m = 0.82 × 28 ( cos 35° = 0.82)
⇒ m = 22.96
Thus, the value of the base in the given triangle is 22.96.
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Answer:
See below:
Step-by-step explanation:
If we do this, we know that 2 gallons takes 14 seconds. (2:14)
Based on that data, we can know that 1 gallon takes 7 seconds. (1:7)
-> 2/14 = 1/7
Now we can multiply by 12 to get 12 gallons on one side.
What we do on one side has to happen to the other side.
So, 12 gallons * 1 gallons = 12 gallons and 12 gallons * 7 gallons = 84 gallons.
So the final answer is 85 gallons,