I'm assuming that the full statement is ΔABC is congruent to ΔDEF.
Given:
m∠A = 70
m∠B = 47
m∠C = 63
Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.
m∠D = 70
m∠E = 47
m∠F = 63
The measure of angle F is 63.
Answer:
L(w) = 8 mm + (2 mm/wk)(wk)
Step-by-step explanation:
L(w) = length of beard as a function of time in weeks
L(w) = 8 mm + (2 mm/wk)(wk)
Answer:
45
Step-by-step explanation:
2 digit number starts from 10 ends at 99
between 10 and 19 there is only one number whose tens digit is more than ones digit.
that is 10
between 20 and 29 there are two numbers
20 and 21
like the same
between 30 and 39 there are 3 numbers
10–19. 1
20–29. 2
30–39. 3
40–49. 4
50–59. 5
60–69. 6
70–79. 7
80–89. 8
99–99. 9
sum of first n natural numbers is n(n+1)/2
9(9+1)/2=45
Answer:
x=6.4
Step-by-step explanation:
5(x-4)=12
5x-20=12
add 20 from both sides
5x=32
divide 5 on both sides
x=6.4
Answer: The correct option is 1.
Explanation:
The given piecewise function is,

It means if x<0, then

If
, then

Since the f(x) is defined for x<0 and
, therefore the function f(x) is not defined for
.
From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.
Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for
, hence the first option is correct.