Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true abou
t the dilation?
- The slope of segment EF is the same as the slope of segment E prime H prime.
- segment E prime G prime will overlap segment EG.
- segment GF and segment G prime F prime both pass through the center of dilation.
- segment EF ≅ segment E prime F prime.
- The slope of segment EF is the same as the slope of segment E prime H prime.
- segment E prime G prime will overlap segment EG.
- segment GF and segment G prime F prime both pass through the center of dilation.
- segment EF ≅ segment E prime F prime.
2 answers:
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One way to solve this question is through trigonometry. :)
If you've learnt trigonometry, here are the basic formulas:
SOH CAH TOA (These formulas only apply for right-angled triangles)
Sin(angle) = (Side that is Opposite of angle)/(Hypotenuse)
Cos(angle) = (Side that is Adjacent of angle)/(Hypotenuse)
Tan(angle) = (Side that is Opposite of angle)/(Side that is Adjacent of angle)
In this case, we should use sine of b (the angle at the top of triangle as indicated in your question), where the opposite side is the base (I.e. 4 indicated in your question) and the hypotenuse is 9.
sin(b) = 4/9
{Make angle b the subject of the equation}
{Type this into the calculator}
Angle b = 26.4° (rounded off to 1 decimal place)
Hope this helps! :)
If you've learnt trigonometry, here are the basic formulas:
SOH CAH TOA (These formulas only apply for right-angled triangles)
Sin(angle) = (Side that is Opposite of angle)/(Hypotenuse)
Cos(angle) = (Side that is Adjacent of angle)/(Hypotenuse)
Tan(angle) = (Side that is Opposite of angle)/(Side that is Adjacent of angle)
In this case, we should use sine of b (the angle at the top of triangle as indicated in your question), where the opposite side is the base (I.e. 4 indicated in your question) and the hypotenuse is 9.
sin(b) = 4/9
{Make angle b the subject of the equation}
{Type this into the calculator}
Angle b = 26.4° (rounded off to 1 decimal place)
Hope this helps! :)
Answer: The number of batches made by Vanessa last weekend = 5
Number of batches made this weekend =20
Step-by-step explanation:
Let x be the number of batches made y Vanessa last weekend.
Given : This weekend Vanessa made 4 times as many batches as last weekend.
i.e. Number of batches made this weekend = 4x
She made a total of 25 batches for the two weekends.
i.e.
Divide both sides by 5 , we get
i.e. number of batches made y Vanessa last weekend = 5
Number of batches made this weekend =20
Hence, the number of batches made by Vanessa last weekend = 5
Number of batches made this weekend =20