Sergei wants to prove that Triangle ABC is similar to Triangle FGH
2 answers:
Answer:
Option (A) and (E) are correct.
We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.
Step-by-step explanation:
Given : two triangles, ΔABC and ΔFGH and we need to prove both are similar to each other.
We have to choose the correct options from the given choices.
Two triangles are said to be similar if their the corresponding sides are in proportion and the corresponding angles are congruent to each other.
that is
also measure ∠A and ∠F to show they are congruent as ∠H= ∠C = 90°
This can be observed by looking at the image . So when both triangle are congruent we an show by AA similarity criterion that ΔABC and ΔFGH are similar.
Thus, option (A) and (E) are correct.
We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.
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Answer:
Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
Step-by-step explanation:
We have been given a mapping diagram as shown below:
X Y
-2 -4
-1 -2
0 2
2
For better view, you can check the attached mapping diagram.
From that diagram we have to find domain and range.
Domain contains only x values so domain will be:
Domain: {-2,-1,0,2}
Range contains only y values so range will be:
Range: {-4,-2,2}
We see that only third choice matches obtained values of domain and range.
Hence final answer is Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
Answer:
The original selling price would be $ 515.87 ( approx )
Step-by-step explanation:
Consider the complete question is :
"A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $325. Find the original selling price of the ski set. It was marked down 10% and 30%"
Suppose x be the original selling price ( in dollars ),
After marking down 10%,
New selling price = x - 10% of x = x - 0.1x = 0.9x
Again after marking down 30%,
Final selling price = 0.9x - 30% of 0.9x
= 0.9x - 0.3 × 0.9x
= 0.9x - 0.27x
= 0.63x
According to the question,
0.63x = 325
Therefore, the original selling price would be $ 515.87.