X=4 is equivalent to -6+2x
The first step to find how many 1/4 inch segments are in 1 and 1/2 inches is to convert 1 and 1/2 into an improper fraction.
To do this, convert 1 into a fraction with the same denominator as 1/2, which is 2.
1 = 1/1
1/1 = 2/2
Now add 2/2, which is the same as 1, to 1/2.
2/2 + 1/2 = 3/2
So 1 and 1/2 = 3/2
Now multiply both the numerator and denominator by 2 so you can see how many times 1/4 goes into the fraction equivalent to 1 and 1/2.
3/2 = 6/4
1/4 goes into 6/4 6 times, since the numerator of 1 goes into the numerator of 6 6 times.
So the answer is that 6 1/4 inch segments are in 1 and 1/2 inches.
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:
c
Step-by-step explanation:
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