Answer:
Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.
Step-by-step explanation:
If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.
Given number of coins Andy has is 102 and montary value of all coins is $17.10.
We have to determine number of dimes and quarters.
1 dime=$0.10
1 quarter=$0.25
Suppose the number of dimes be x and number of quarters be y.
The equations are:
0.10x+0.25y=17.10------------1
x+y=102-------------2
from equation 2, y=102-x
Put the value of y=102-x in equation 1
0.10x+0.25(102-x)=17.10
0.10x+25.5-0.25x=17.10
-0.15x=17.10-25.5
-0.15x=-8.4
x=8.4/0.15
x=56
Put the value of x in y=102-x
y=102-56
y=46
Hence Andy has 56 number of dimes and 46 quarters.
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Answer:
Net_change_in_depth = 450/7 ft = 64 2/7 ft
Step-by-step explanation:
Missing info attached below
Depth_of_the_frequency_signal = -180 4/7 ft = -1264/7 ft
Depth_of_the_submarine = -116 2/7 ft = -814/7 ft
Net_change_in_depth =
Depth_of_the_submarine - Depth_of_the_frequency_signal
Net_change_in_depth = -814/7 ft - (-1264/7 ft)
Net_change_in_depth = 450/7 ft = 64 2/7 ft
Answer: 2x+4 is the equation
the slope would be 2/1 and the y would be 4 (up) because thats where it is on the y axis
Answer:
6 and 2 are the two numbers.
Step-by-step explanation:
since the product is positive, both numbers have the same sign. Since the sum is positive, the two numbers are positive.
Enumerating through the possible factorization of 12 with these properties,
12, 1 (sum is 13)
6, 2 (sum is 8)
4, 3 (sum is 7)