Answer: it is p
Step-by-step explanation:
Given that:
In ∆AMN and ∆TPE
MA = PE (Side )
∠AMN = ∠TPE (angle)
MN = PT (Side)
By SAS Property
∆ MAN =~ ∆ PET
∆ MAN =~ ∆ PET are congruent triangles .
<u>Answer:-</u> ∆ MAN =~ ∆ PET
<em>Additional</em><em> comment</em><em>:</em>
SAS Property:-
In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.
<u>a</u><u>lso </u><u>read</u><u> similar</u><u> questions</u><u>:</u> I don't understand proof on geometry. How do you prove something that is given?
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Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK
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Answers:
24 quarters
22 nickels
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Work Shown:
q = number of quarters
n = number of nickels
q+n = 46 coins total which solves to n = 46-q
25q = value of all the quarters in cents
5n = value of all the nickels in cents
25q+5n = value (cents) of all the coins of both types
25q+5n = 710 cents total = $7.10
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Apply substitution.
25q+5n = 710
25q+5(46-q) = 710
25q+230-5q = 710
20q+230 = 710
20q = 710-230
20q = 480
q = 480/20
q = 24
They have 24 quarters
This yields 25*q = 25*24 = 600 cents = $6.00 so far.
Use that value of q to find n
n = 46-q
n = 46-24
n = 22
They also have 22 nickels.
They have an additional 5n = 5*22 = 110 cents = $1.10
In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.
Answer:
27.75₁₀
Step-by-step explanation:
Convert binary 11011.110 to base 10
11011.110 = 1*2^4 + 1*2^3+0*2^2 + 1*2^1 + 1* 2^0 + 1*2^-1 + 1* 2^-2 + 0
11011.110 = 16+8+0+2+1+1/2+1/4
11011.110 =27 + 3/4
11011.110 = 27.75₁₀
Hence the binary number to base 10 is 27.75₁₀
