Sounds like that to me but that is symbolically showing of that's what your teacher means as mathematical sentence
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:
The bag contains $5.14
Step-by-step explanation:
18% of 50 = (.18)(50) = 9 pennies
40% of 50 = (.40)(50) = 20 dimes
2 more nickels than pennies = 9 + 2 = 11 nickels
40 coins so far, so 50 - 40 = 10 quarters
Total value:
9 x ($0.01) = $0.09 for pennies
20 x ($0.10) = $2.00 for dimes
11 x ($0.05) = $0.55 for nickels
10 x ($0.25) = $2.50 for quarters
Grand total value = $5.14
Solve for x. I'll do it by completing the square:
2x² = 4x + 9
2x² - 4x = 9
x² - 2x = 9/2
x² - 2x + 1 = 11/2
(x - 1)² = 11/2
x - 1 = ± √(11/2)
x = 1 ± √(11/2)
x = 1 ± √22/2
x = (2 ± √22)/2
Take the solution with the positive square root. Then it follows that a = c = 2 and b = 22. So a + b + c = 26.
Answer:
8.9%
Step-by-step explanation:
sales tax rate (in percentage) = 409.40÷4600*100=8.9%
