The set of parallel lines in a quadrilateral leads to the parallelogram.
<h3>What is a quadrilateral?</h3>
Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Line M
x - y + 3 = 0,
y = x + 3
m = 1
Line L
y = x - 2,
m = 1
Line N
y = -1/2x + 5,
m = -0.5
Line P
x+2y+12=0
y = -x/2 - 6
m = -0.5
Here we can see that the slope of line M and L are equal and slope of line N and P are equal.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Hence, the set of parallel lines in a quadrilateral leads to the parallelogram.
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Answer:
-1.596
Step-by-step explanation:
4^(x + 3) = 7
log₄ 4^(x + 3) = log₄ 7
x + 3 = log₄ 7
x + 3 = log 7 / log 4
x = -3 + log 7 / log 4
x ≈ -1.596
Answer:
B. factoring a trinomial
Step-by-step explanation:
Answer:
y = 60x + 22
262 miles
Step-by-step explanation:
Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22. You also know the rate at which the car travels is 60 miles per hour, which is the slope (m). Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:
y = 60x + 22, where y = the total miles and x = the number of hours traveled
After 4 hours:
y = 60(4) + 22 = 240 + 22 = 262 miles
Answer: 1.75 amps
<u>Step-by-step explanation:</u>
V (voltage) = I (current) · R (resistance)
V = 3.5 (110)
= 385
When Resistance is doubled, the current is cut in half.
V = I R
385 = I (2 · 110)
1.75 = I
