Using the fact that the triangles shown are similar, we can set up a proportion between the lengths of the sides.
The side length in question is QR, or "x". To find its corresponding side in the larger triangle let's look at the similarity.
MNO is similar to PQR
Vertices are always written in order of correspondence when stating similarities. Since QR are the last two letters of the triangle's name, and NO are the last two letters of the larger triangle's name, we know that QR and NO are corresponding sides. We can apply this same method to any other side.
NO/QR = MN/PQ
(MN and PQ are also corresponding sides)
Now we can substitute the side names with their values.
4.5/x = 5/2
Cross multiply
5x = 9
Divide both sides by 5
x = 9/5 or 1.8 or 1 4/5
Hope this helps!
First you can apply the a²-b² = (a+b)(a-b) theorem, you'll get:
(p²)² - 9² = (p²+9)(p²-9), but that's not all, you can apply it again on the last factor:
(p²+9)(p²-3²) = (p²+9)(p+3)(p-3)
The first factor cannot be simplified like that, so that's the furthest factorization. So answer (3) is the right one.
Answer:
5 cm
Step-by-step explanation:
Since 1 1/4 is the same thing as 1.25, you can multiply 4 x 1.25 together to get your final answer which is 5 cm.
These ad agencies must focus on their target audience, which are the students. Hence, they should gather data on the pool that will surely comprise of students. For agency B, social media posting is not a good source pool. It's true that students are very participative and opinionated in social media. However, they can't be sure that these are students. Some parents are in social media, as well. Some are working individuals, and some are out of school youth. Unlike agency A, agency B has to sort out profiles first and identify which ones are students. Hence, agency A will produce a fair sample of the student population because it is unarguably true that everyone in the school enrollment data are students.
The answer is B.
