AE x BE = DE x CE
6x5 = 30
6 x DE = 30
DE = 30/6 =5
DC = DE +CE = 5+6 =11
Answer is C) 11
QUESTION 1: In these type of question, the easiest way to get the answer is try to plug in the x and y values from the options given in the equation given, So in the first question all the choice except C are more then 14 if you plug in x and y's, for eg, if you plug in x = 3 and y = 2 , you get (3+3)2 = 14 6 x 2 = 14 12 is not equal to 14, so this eliminates this choice but if you chose C you get, (11+3)1 = 14 14 = 14 so this makes C the solution for first question and for the second question do the same thing, and the answer will be D. Hope this helps
QUESTION 2: 5xy + 9 = 44
5xy = 35
xy = 7
solution pairs are:
C. (1, 7) and (7, 1)
not mentioned: (-1.-7) and (-7, -1)
Hope this helps
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Answer:
B
Step-by-step explanation:
Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:
I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE
II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE
III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE
Answer B is correct
Answer:
125 situps
Step-by-step explanation:
We can use a ratio to solve
25 situp x situps
--------------- = --------------
12 pushup 60 pushups
Using cross products
25 * 60 = 12x
Divide each side by 12
25*60/12 = 12x/12
125 = x
The ratio of low-top to the total number of shoes is 4:15