Answer: 6.75 feet
Step-by-step explanation:
Since, the ratio of the side of the similar triangle = 2 : 3
Thus, by the property of similar triangle,
The ratio of the altitudes of the triangle = 2 : 3
Let the altitude of smaller triangle = 2 x
And, the altitude of larger triangle = 3 x
Where x is any number.
According to the question,
2 x = 4.5
x = 2.25
Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet
Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.
Answer:
<u><em>Vertical angles are</em></u><u><em> congruent</em></u><u><em>, so the</em></u>
<u><em>equation </em></u><u><em>3x-6 = 114</em></u><u><em> can be used to find x.</em></u>
<u><em>The value of x is </em></u><u><em>40</em></u><u><em>.</em></u>
<u><em /></u>
<u><em>Convince Me!</em></u>
<u><em>Why can you use an equation when solving for x in</em></u>
<u><em>the diagram?</em></u>
<u><em>You can use the eqution because they are equal to each other. When they are equal to each other, you can find x by using the equation to simplify and get x alone.</em></u>
For elimination, multiply one whole equation by negative one (-1), then add or subtract according to your signs. After that, it will be a one-step equation.
3x + 4y = 19 3x + 4y = 19 3x + 4y = 19 -2y = -14 y = 7
3x + 6y = 33 -1 (3x + 6y = 33) -3x - 6y = -33 -14 / -2
Then you would go back and substitute the value of (y) back into either equation and then solve for the remaining variable (x). Finally, use both values to make an ordered pair.
3x + 4y = 19 3x = -9 x = -3 (-3 , 7)
3x + 4(7) = 19 (-9 / 3)
3x + 28 = 19
Good Luck
