Answer/Step-by-step explanation:
Statement 1:
Reason 1: Given
Statement 2: <A ≅ <R
Reason 2: Given
Statement 3: <AMD ≅ <RMC
Reason 3: vertical angles
Both angels are vertical angles. Vertical angles are congruent to each other. Therefore, <AMD ≅ <RMC.
Statement 4: ∆MAD ≅ ∆MRC
Reason 4: AAS Congruence Theorem
Two angles and a non-included side in ∆MAD are congruent to corresponding two angles and a non-included side in ∆MRC. Based on the AAS Congruence Theorem, both triangles are congruent.
The diagonal length of the suitcase is 16.12 inches.
Step-by-step explanation:
Step 1:
Length of the suitcase = 14 inches
Width of the suitcase = 8 inches
We need to compute the diagonal length of the suitcase.
Step 2 :
The diagonal length of the suitcase is the diagonal of the rectangle with the above given dimensions
The diagonal and the 2 sides form a right angled triangle and hence the diagonal can be computed using the Pythagoras theorem
So the diagonal² = 14² + 8² = 196 + 64 = 260
the diagonal = √260 = 16.12 inches
Step 3 :
Answer :
The diagonal length of the suitcase is 16.12 inches.
Answer:
0.25 = one time charge
Step-by-step explanation:
Given that:
Charging pattern of store for scanning documents :
(One time fee + fixed amount per page scanned)
The equation:
y=0.10x+0.25 ; gives the total cost of scanning x document pages
Comparing the equation and the charging pattern :
y = total cost
0.10 = fixed cost per page
x = number of pages scanned
0.25 = one time charge(not dependent on number of pages to be scanned).
Answer:
6
Step-by-step explanation:
So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:
And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:
To find the number, we just need to find x. Thus, subtract 2 from both sides:
Divide both sides by 8:
And we're done!
So, our original number was 6.