Let's solve your equation step-by-step.
<span><span>2<span>(<span>p+1</span>)</span></span>=18
</span>Step 1: Simplify both sides of the equation.
<span><span>2<span>(<span>p+1</span>)</span></span>=18
</span><span>Simplify: (Show steps)
</span><span><span><span>2p</span>+2</span>=18
</span>Step 2: Subtract 2 from both sides.
<span><span><span><span>2p</span>+2</span>−2</span>=<span>18−2
</span></span><span><span>2p</span>=16
</span>Step 3: Divide both sides by 2.
<span><span><span>2p/</span>2</span>=<span>16/2
</span></span><span>p=8
</span>Answer:
<span>p=<span>8</span></span>
Answer:
Step-by-step explanation:
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Answer:
FG = 47
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
EH = FG, that is
5z - 18 = 3z + 8 ( subtract 3z from both sides )
2z - 18 = 8 ( add 18 to both sides )
2z = 26 ( divide both sides by 2 )
z = 13
Hence
FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47
Answer:
4.19
Step-by-step explanation:
Find the mean:
Find the standard deviation:
Answer:
Step-by-step explanation:
ABC and DEF are parallel lines. So, ∠ABE and ∠BED are co interior angles.
∠ABE + ∠BED = 180 {SUM OF CO INTERIOR ANGLE IS 180}
∠ABE+ 110.2 = 180
∠ABE = 180 - 110.2
∠ABE = 69.8
Now, ABC is straight line
∠ABE + ∠EBG + ∠CBG = 180
69.8 + ∠EBG + 34.8 = 180
104.6 + ∠EBG = 180
∠EBG = 180 - 104.6
∠EBG = 75.4
Again, DEF is straight line
∠DEB + ∠BEG + ∠GEF = 180
110.2 + ∠BEG + 25.6 = 180
∠BEG + 135.8 = 180
∠BEG = 180 - 135.8
∠BEG = 44.2
In triangle BEG,
∠BEG + x + ∠EBG = 180 { sum of all angles of triangle is 180}
44.2 + x + 75.4 = 180
x + 119.6 = 180
x = 180 - 119.6
x = 60.4
