Answer:
15
Step-by-step explanation:
38=10+13+c
c=38-10-13=15
Hope this helps!
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
Thank you for posting you question here at brainly. I hope the answer will help you. The <span> practical domain and the practical range for this situation is below:
</span>D: [5, 7]
<span>R: [58, 81.2]
</span>
Feel free to ask more questions here at brainly. I'd be happy to answer.
Answer
Find out the m∠6 .
To prove
As given
a∥e , m∥n , and m∠2 = 112°.
As m∥n
a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)
Thus
∠ 2 = ∠3 ( Corresponding angle property )
∠3 = 112°
Also
a∥e and m is transversal .
∠ 3 = ∠6 = 112 ° ( Corresponding angle property )
Therefore
∠6 = 112°
16: -7(5)= -35 ( REMEMBER THE MOUTH EATS THE BIGGEST NUMBER!)
-6(-6)= 36 therefore 36 is greater than -35
18: they are exactly the same because in multiplication with inters it matters when the signs change. so 3(-6) = -18 ad -3(6)= -18 then -18=-18
20: Same as 18 where division has the same rules. if 8x5=40 then 40/8=5
-40/8=-5 and 40/(-8)=-5 then -5=-5
answers: