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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A graph shows the first comparison is true, and the C temperature is cooler than the F temperature for the remaining comparisons.
The comparison that is FALSE is ...
C.....30 °C is warmer than 90 °F
_____
30 °C = 86 °F
32.2 °C ≈ 90 °F
The comparison that is FALSE is ...
C.....30 °C is warmer than 90 °F
_____
30 °C = 86 °F
32.2 °C ≈ 90 °F
a) 20.9
The mean is calculated by adding up the scores and dividing the total by the number of scores, it is also called the average.
First, we can count and see there are 11 players (makes sense for a football team). Adding up the ages gives us 19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 = 230. Divide by 11 and we get a mean of of about 20.9!
b) 30
To figure this out, we will set up an equation that looks like this:
And now we will solve:
[multiply both sides by 12] 230 + x = 264
[subtract 130 from both sides] x = 30
So the age of the new player should be 30!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather