Answer:
<u>The correct answer is D. x + 5≤ - 4</u>
Step-by-step explanation:
Let's review which inequality has - 12 in its solution set, this way:
A. x + 6 less-than negative 8
-12 + 6 < - 8
-6 < - 8 Not correct
B. x + 4 greater-than-or-equal-to negative 6
- 12 + 4 ≥ - 6
- 8 ≥ - 6 Not correct
C. x minus 3 greater-than negative 10
- 12 - 3 > - 10
<u>- 15 > - 10 Not correct</u>
D. x + 5 less-than-or-equal-to negative 4
- 12 + 5 ≤ - 4
- 7 ≤ - 4 This is correct
<u>The correct answer is D. x + 5≤ - 4</u>
Given : A box of toffies can be divided among 24 and children each will get 4 .
To Find : Number of toffies will each get if the number of children is reduced 24
Solution : If toffies are distributed among the children and each child gets 4 , then the total number of toffies will be equal to , 24 × 4 = 96 toffies .
Again it is given that the toffies are redistributed among 24 children . So the number of toffies each will get will be equal to ,
=
=
<em><u>Henc</u></em><em><u>e</u></em><em><u> the</u></em><em><u> required</u></em><em><u> answer</u></em><em><u> is</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>.</u></em>
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)

Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
It should be 13 since 13+8 = 21. 21-7 = 13
I think the answer is $1.56
i hope this helps