Answer:
? = 106°
Step-by-step explanation:
the 2 angles marked with double arcs are equal
the sum of the interior angles of a quadrilateral = 360° , then
63° + 85° + 2? = 360° , that is
148° + 2? = 360° ( subtract 148° from both sides )
2? = 212° ( divide both sides by 2 )
? = 106°
Are you allowed to use a calculator? if you are allowed, for number 13 you should put “If you put 678 into a calculator and divide it by 2, you get 339. If you divide it by 3, you get 226. And if you divide it by 6, you get 113.”They are all numbers without decimals.
I’m not sure about 14 though. Sorry :( But i hope i helped.
Answer:
Step-by-step explanation:
sin(x)=cos(x) × tan(x)
=(-2√23)×(√24)
=(-2√23)×(2√6)
=(-4√138)
=(-4(2√(3×23)))
=(-8√69)
Answer:
t=2
j=1
Step-by-step explanation:
3 tacos and a juice is $7
3t+j=7
4 tacos and 2 juices is $10
4t+2j=10
We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used
3t+j=7 Equation 1
4t+2j=10 Equation 2
To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.
2(3t+j=7)
6t+2j=14 Equation 3
We now have
4t+2j=10 Equation 2
6t+2j=14 Equation 3
We subtract equation 2 from equation 3, to eliminate j
6t-4t=2t
2j-2j=0
14-10=4
We have 2t=4
Divide both sides by 2
2t/2=4/2
t=4/2
t=2
Substitute t for 2 in equation 1, to get j
3t+j=7
3(2)+j=7
6+j=7
j=7-6
j=1
One taco cost $2 while 1 juice cost $2