Answer:
X=35 Y=73
Step-by-step explanation:
use the opposite angle theorem for x. X would equal 35.
we know that x is 35. So 2y+35=180
180-35=2y
y=72.5 or 73
srry I can’t help with question 2. I don’t know how
Answer:
Step-by-step explanation:
To solve for the given variable
, we need to get
on one side of the equation by itself. To do so, we need to remove the -16 that is on the same side of the variable.
To get rid of the -16, we can add a 16 to that side of the equation since
, which will get
by itself; however, if we add -16 to one side of the equation, we must add it to both sides of the equation:


The answer is 10110
===============================================
Explanation:
Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0
Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1
Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1
Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0
Repeat again
1/2 = 0 remainder 1 <<--- this remainder will be used later. Call it E, so E = 1
The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.
The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1
The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
E = 1
D = 0
C = 1
B = 1
A = 0
So 22 base 10 = 10110 base 2
Answer:
6/9 ÷ 4/7 = 1 1/6
Step-by-step explanation:
flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other
Answer:
(w^2 - 4w + 16)
Step-by-step explanation:
Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3. The corresponding factors are (w + 4)(w^2 - 4w + 16).
Therefore,
(w^3 +64)/(4+ w) reduces as follows:
(w^3 +64)/(4+ w) (4 + w)(w^2 - 4w + 16)
--------------------------- = --------------------------------- = (w^2 - 4w + 16)
4 + w 4 + w