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.
Answer:
32?
Step-by-step explanation:
16×2=32
not sure what the numbers after that means but
x8=128
x16=256
x4=64
Answer:
Ok so we are trying to find out how much flour she used to make brownies so we already know that she used 1/2 flour to make bread and She uses 1/8 flour less flour to make bread than to make cookies so if we add 1/2 and 1/8 we will get the amount of flour she used to make the cookies so 1/2 + 1/8 = 5/8 so now that we have the amount of flour she used to make the cookies we know that that is 1/4 more flour than brownies so if we subtract 5/8 by 1/4 we will get are answer to how much flour she uses to make brownies so 5/8 - 1/4 = 3/8 and that's your answer do you understand?
Step-by-step explanation:
Answer:
13 years old
Step-by-step explanation:
So to solve this we use a system of equations. Let's use "j" to represent Jack, "t" to represent Tyler, and "d" to represent the dad. Set the system up and it will look something like this:
j = t - 13 (Jack is 13 years younger than Tyler)
d = 2t (Dad is twice Tyler's age)
d + j + t = 91 (The sum of the ages is 91)
And then solve, I solved by isolating the "j" variable on the last equation, giving us j = 91 - t - d, then plugged that into the first equation, giving us 91 - t - d = t - 13, and got d = 104 - 2t. Then I plug that into d = 2t, giving us 104 - 2t = 2t, and solve for t. T is 26, meaning Tyler is 26 years old, and then I just subtract 13 from that, giving us 13 years old.
And finally, I obviously checked my answer, because now we know dad is 52, and I got 91.
<u>Answer</u>
5 and -4
<u>Explanation</u>
If the two triangle are congruent then they have the same area.
20 = x² - x
x² - x - 20 = 0
x² - x + (1/2)² = 20 + (1/2)²
(x - 1/2)² = 20.25
x - 1/2 = √20.25
x - 1/2 = 4.5 or x - 1/2 = - 4.5
x = 4 1/2 + 1/2 x = -4 1/2 + 1/2
= 5 = -4
The values of x are 5 and -4.
