Answer:
x=22
Step-by-step explanation:
<HMQ- 4x-20
<RMF-x
<HMQ+<RMF=90
4x-20+x=90
5x=110
x=22
<HMQ=68
<HMS=22
<SMP=90
<HMP=112
Hope that helps!
Answer:
2 step proof, Subtraction Property
Step-by-step explanation:
This one is pretty easy if you know a shortcut. Addition, Subtraction, Multiplication, and division properties.
Think about it this way. Subtract angle 1 from QUS. Then subtract angle 2 from RUT. Knowing RUT is equal to QUS means that the differences are the same.
Don't know if this is right or not but hope this helps.
Here's my work
40.7..........................
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems
Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!