Angles PMN and MPN are also 16 because the triangles are isosceles.
The measure of the third angle (angle N) is 148 which also equal to the measure of angle K. The measure of angle PKE is 74 which half of the measure of angle N and angle K.<span />
A.25
Work:
-5x-5=25
Hope his helps.
I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.
The scale factor of edges of two solids is x.
The scale factor of their areas is x^2.
The scale factor of their volumes is x^3
The areas have a scale factor of 18/8 = 2.25
The length have a scale factor of sqrt(2.25) = 1.5
The volumes have a scale factor of 3.375
108/3.375 = 32
Answer: 32 ft^3
Answer:
Correct options are:
a) ( 0 , 445 )
d) ( 118 , 209 )
e) ( 172 , 101 )
Step-by-step explanation:
A nickel is worth 5 cents $0.05
A dime is worth 10 cents = $0.10
The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.
a) ( 0 , 445 )
b) ( 0.50 , 435 )
c) ( 233 , 21 )
d)( 118 , 209 )
e)( 172 , 101 )
Verifying the options
a) ( 0 , 445 )
0.10d+0.05n=22.25.
= 0.10(0) + 0.05(445) = 22.25
= 22.25 = 22.25
Options a) is correct
b) ( 0.50 , 435 )
0.10d+0.05n=22.25.
= 0.10(0.50) + 0.05(435) = 22.25
= 21.8 ≠ 22.25
Option b is incorrect
c) ( 233 , 21 )
0.10d+0.05n=22.25.
= 0.10(233) + 0.05(21) = 22.25
= 24.35 ≠22.25
Option c is incorrect
d) ( 118 , 209 )
0.10d+0.05n=22.25.
= 0.10(118) + 0.05(209) = 22.25
= 22.25 = 22.25
Option d) is correct
e) ( 172 , 101 )
0.10d+0.05n=22.25.
= 0.10(172) + 0.05(101) = 22.25
= 22.25 = 22.25
Option e) is correct
Answer: The new cottage will be 2,560 square feet larger than the small cottage.
Step-by-step explanation:
