The 82nd term for the sequence would be -4
Answer:
3x + 12
Step-by-step explanation:
Use the distributive property.
3(x + 4) = 3 * x + 3 * 4 = 3x + 12
Answer: 3x + 12
<h3>hello!</h3>
What is
of 12?
In order to find it, we should divide 12 by 4:-
3
Now, solve our word problem:-
Matthew bought 12 roses.
of these roses were white.
And we already know how to solve this problem :)
Hence,

<h3>note:-</h3>
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
x=
3
/2
Step-by-step explanation:
12(5x−4.5)=36
(12)(5x)+(12)(−4.5)=36(Distribute)
60x+−54=36
60x−54=36
Step 2: Add 54 to both sides.
60x−54+54=36+54
60x=90
Step 3: Divide both sides by 60.
60x
60
=
90
/60
x=
3
/2
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°