Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
Answer:
37(t)-10
Step-by-step explanation:
The answer is <span>b. I and II
</span>
<span>Cost (NIS)
Jerusalem to Tel Aviv: J-TA = 269
Jerusalem to Holon: J-H = 201
Jerusalem to Ra’anana: J-R = 281
Tel Aviv to Jerusalem: TA-J = 235
Tel Aviv to Holon: TA-H = 263
Tel Aviv to Ra’anana: TA-R = 203
Holon to Jerusalem: H-J = 150
Holon to Tel Aviv: H-TA = 198
Holon to Ra’anana: H-R = 290
Ra’anana to Jerusalem: R-J = 176
Ra’anana to Tel Aviv: R-TA = 234
Ra’anana to Holon: R-H = 218
Options:
</span><span>I. Jerusalem - Tel Aviv - Ra’anana - Holon - Jerusalem
J-TA + TA-R + R-H + H-J = 269 + 203 + 218 + 150 = 840
840 < 900
II. Jerusalem - Holon - Tel Aviv - Ra’anana - Jerusalem
J-H + H-TA + TA-R + R-J = 201 + 198 + 203 + 176 = 778
778 < 900
III. Jerusalem - Ra’anana - Tel Aviv - Holon - Jerusalem
J-R + R-TA + TA-H + H-J = 281 + 234 + 263 + 150 = 928
928 > 900
Hence, options I and II are possible.</span>
Answer:
B. 17%.
Step-by-step explanation:
The General Probability Addition Rule is
P(A∪B) = P(A) + P(B) − P(A∩B) where P(A∪B) = P(A) or P(B) and P(A∩B) = P(A) and P(B).
So applying this to our problem we have:
0.57 = 0.43 + 0.31 - P( household has a cat and a dog)
so the answer is 0.43 + 0.31 - 0.57
= 0.17 or 17%.