Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = 
= 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Answer:
22,40,62
Step-by-step explanation:
0+2=2 2+6=8 8+10=18
2 6 10 14 18 22 four in between
so you will add these numbers each time
18+14=22 22+18=40 40+22=62
Answer:
<h3>46.</h3>
<u>Total number in favour:</u>
<u>Probability:</u>
- P(favour, A) = 128/224 = 4/7
<h3>47.</h3>
<u>Total number in against:</u>
<u>Probability:</u>
- P(against, not B) = 32/80 = 2/5
Answer:
76 on second exam, 80 on third exam
Step-by-step explanation:
First, find the total of all 3 test scores by multiplying the average by the number of elements. 81 · 3 = 243.
The first score is 83 so 243 - 83 = 160. 160 is the other two test scores combined.
To find the other 2 scores, divide 160 by 2, which is 80.
The second score is 4 less so it will be 76. The third score is 80.
We must follow order of operations rules (PEMDAS) here: exponentiation first, followed by multiplication and division, followed by addition and subtraction.
Thus, -2^2-3(-2)+1 becomes:
-[4] + 6 + 1 = 2 + 1 = 3 (answer)
