Answer:
JL = 56
NK = 28
Step-by-step explanation:
Since JL = MK
5x + 1 = 8x - 32
8x - 5x = 32 + 1
3x = 33
x = 11
so
JL = 5x + 1 = 5(11) + 1 = 55 + 1 = 56
NK = 1/2MK = 1/2JL = 56/2 = 28
Answer:
<em>C. 15</em>
Step-by-step explanation:
Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.
Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.
x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →
(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.
The last step is to do the basic algebra to find x:
3x = 5x – 30
–5x –5x
[5x will cancel when you subtract both sides by 5x]
-2x = -30
(-1) (-1)
[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]
2x = 30
÷2 ÷2
[divide both sides by 2 to simplify 2x to x]
x = 15
_____
You can also check that both sides are proportional because
5 → x
x = 15
5 → 15
3 → x – 6
x = 15
3 → 9
5 × <u>3</u> = 15
3 × <u>3</u> = 9
Answer:
13/8 = 1 5/8
Step-by-step explanation:
first make 3 1/4 into an improper fraction
3 1/4 = (3*4+1)/4 = 13/4
13/4 /2
we know that dividing by a number is multiplying by its reciprocal, so
(13/4)/2 = 13/4 * (1/2)
multiply the numerators together, and multiply the denominators together
13/4 * (1/2) = (13*1)/(4*2) = 13/8 = 1 5/8
Answer:
X = 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form
.
If our equation is 
, then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.
