Answer:
8 is the length of JB
Step-by-step explanation:
<u>Key skills needed: Equations, Congruence</u>
1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:
- JB is congruent to BK
- Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
- Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side
2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.
3) This means that 16x -24 = 4x
Subtract 16x from both sides : -24 = -12x
Divide by -12 on both sides and get x = 2
4) Substitute x into the length of JB (16x-24)
16(2)-24 = 32-24 = 8
5) Therefore, the length of JB is 8
<em>Hope you understood and have a nice day!! :D</em>
Answer:
oof tough
Step-by-step explanation:
A. m = 0 || This is incorrect, because m being equal to 0 is a solution in and of itself.
B. m = m || This is incorrect, because m being equal to itself means that there are an infinite number of solutions.
C. 2m + 1 = m - 2 | m = -3 || This is incorrect, because m can be solved for and has a solution.
D. m + 4 = m - 4 | 4 = -4 || This is correct because 4 is not equal to -4, and thus there is no solution.
Hope this helps!! :)
The formular which can be used to obtain the monthly charges as a function of the number of cheques written is 9.75 + 0.15x
Charges on account :
- Charge per check written = $0.15
- Monthly services charge = $9.75
The total amount charged monthly, F as a function of the number of cheques written, x can be expressed thus :
Monthly service charge + (charge per check × number of cheques written)
F(x) = 9.75 + 0.15x
Therefore, the charge function which can be used to calculate the total monthly charge on his account ls F(x) = 9.75 + 0.15x
Learn more : brainly.com/question/18405415
Answer:
144
Step-by-step explanation:
The Greates Common Factor (GCF) is: 2 x 2 x 11 = 44
