X
38 -> 24x
x > 38 -> 31(x-38) + 912
912 = 24*38 (You will have to have 38 hours to be able to be in this part of the piece wise function)
It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
Measure of ∠R :
ღ ꪑ꠸᥅ꫀꪊ
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
22 < x < 74
Step-by-step explanation:
Given 2 sides of a triangle with third side x , then
difference of 2 sides < x < sum of 2 sides , that is
48 - 26 < x < 48 + 26 , so
22 < x < 74
