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:
1.97>1.89
Step-by-step explanation:
All of the other options are less than 1.89.
1.54 < 1.89
1.79 < 1.89
1.35 < 1.89
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−<em>Kallmekrish</em>
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m
Lateral Area Formula :
LA = hP ; height * perimeter
= 3m * (6 + 8 + 10)
= 3m * 24
LA = 72 m²
Surface Area Formula:
SA = 2B + hP : B = area of the base = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²