Answer:
∠ 3 = 63°
Step-by-step explanation:
∠ 2 and ∠ 3 are adjacent angles and supplementary, thus
∠ 2 + ∠ 3 = 180°, that is
117° + ∠ 3 = 180° ( subtract 117° from both sides )
∠ 3 = 63°
Answer:
1) ven diagram #1
2)160
3) 420
4)16
Step-by-step explanation:
1) lets make a ratio table:
(look at image below, sorry for the horrible writing)
the original ratios are 18 and 17, and 18+17=35 35 is the number of students who play either or both sports. 30 is the number who play either sport:
so 35-30=5
5 students play both sports:
18-5=13(baseball)
17-5=12(basketball)
2) add up all the students who do band or sports and subtract from the total number of students
so
89/464+215/464= 304/464 students play in band or orchestra or both, to find the number of students who dont:
464-304=160
3) 630/1000+420/1000=1050/1000
1050/1000-210/1000=840/1000
840/1000-420/100=420/1000
420 ppl use brand p
4) 15+9=24
40-24=16
16 ppl
hope this helps!
<span>The
value of the determinant of a 2x2 matrix is the product of the top-left
and bottom-right terms minus the product of the top-right and
bottom-left terms.
The value of the determinant of a 2x2 matrix is the product of the top-left and bottom-right terms minus the product of the top-right and bottom-left terms.
= [ (1)(-3)] - [ (7)(0) ]
= -3 - 0
= -3
Therefore, the determinant is -3.
Hope this helps!</span>