Answer:
y=0, x=1
Step-by-step explanation:
6x-3y= -6 ...... equation 1
y =2x+2 ..... equation 2
subtract 2x from both sides
y-2x=2x-2x+2
y-2x=2
6x-3y= -6
y-2x=2
Rearrange
6x-3y= -6 ........x1
-2x +y=2............x3
6x-3y= -6
-6x +3y=2
0y=0
y=0
substitute y=0 in equation 1
6x-3xo= -6
6x= -6
x-6/6
x = -1
Answer:
If a is 1.. we substitute one in every a in g(a)
4 * 1 + 16
4+ 16 = 20
g(a)= 20
f(20)
-16 + 20 = 4
and 4/4 = 1
so f (g (a)) = a
Step-by-step explanation:
Step-by-step explanation:
mean score means the sum of all 6 scores divided by the number of games : 6.
sum6/6 = 15
sum6 = 15×6 = 90
(sum6 + x)/7 = 16
sum6 + x = 16×7 = 112
90 + x = 112
x = 22
they scored 22 points in the 7th game.
Answer:
y=-x+2
Step-by-step explanation:
its asking y=mx+b
m slope (rise/run) --> rises up 2 for every time it moves over -2 times
so slope is -1
b= y intercept = 2
Answer:
a. D and E are similar but not congruent.
Step-by-step explanation:
Let's analyse each statement and determine which is true about the 3 given quadrilaterals:
a. "D and E are similar but not congruent." TRUE.
D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.
D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.
b. "E and F are similar and congruent." NOT TRUE.
E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.
c. "D and E are similar and congruent." NOT TRUE.
Since statement (a) is TRUE, statement (c) cannot be true.
D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.
d. "F and D are similar but not congruent." NOT TRUE.
F and D has the same size but the ratio of their corresponding sides are not the same.
