I don’t get it. If u can actually answer it
1 answer:
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Answer:
< 1 = 130°, < 2 =50°, < 3 = 50°, < 4= 30°, < 5 = 70°, < 6 = 50°, < 7= 60°, < 8 = 40°, < 9 = 40°, < 10 = 50°, < 11 = 50°, < 12 = 130°, < 13 = 140°, < 14 =40° , < 15 = 140°
Step-by-step explanation:
< 4 = 90- 60 = 30° because angle 4 and angle 60° are complementary
< 5 = 70°, because vertical angles are congruent
< 2 = 180-130 = 50 °, because 130 ° and 2 are a linear pair
< 6 = 180-130 = 50 °, because 130 ° and 2 are a linear pair
because < 2 = < 6 and are alternate exterior angles then two lines are parallel
<13 = 140°, corresponding angles
< 13 = < 15 = 140°, vertical angles
< 8 = < 9 = < 14 = 180-140 = 40°, linear pair and vertical angles
< 3 = 180-90-40= 50 °, because the sum off all angles in a Δ is 180°
< 3= < 10 = < 11 =50° vertical angles , and corresponding angles
< 7= 180 -70 -50 = 60°, because the sum off all angles in a Δ is 180°
<1 = <12 = 180 -50 = 130°, linear pair and vertical angles
Let A, B and C be the amount machines A, B and C, respectively, produce each hour alone.
With all three machines together produce 520 drinks each hour, we know that the addition of the amount that each produces each hour is equal to 520, that is.
Now, similarly, machines A and B produce together 320 drinks each hour, so the sum of the amounts A and B produce each hour is equal to 320, so:
If machine C produce 30 more drinks than B each hour, than the amount of B plus 30 will be the amount of C:
So, we got the system of equations:
To solve, notice that A + B is known, because of the second equation, so we can substitute A + B by 320 in the first equation:
Now, we can substitute C into the third equation and solve for B:
And, finally, we can substitute B into the second equation and solve for A:
Answers:
First box:
Second box:
Third box:
Fourth box:
Recall the double angle identity:
Then