The two posts are parallel lines. The ground is a transversal.
The angles measuring 4x and 75 are same side interior angles, so they are supplementary. Their measures add up to 180.
4x + 75 = 180
4x = 105
x = 26.25
Answer:
1.06 × 5(r-4) = 45.05
Step-by-step explanation:
Let r represents the regular price of each T-shirt,
After getting $ 4 off in regular price,
New price of each T-shirt = r - 4,
Thus, new price of 5 T-shirts = 5 × price of each T-shirt
= 5(r - 4)
Since, there is 6% sales tax,
Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))
= 5(r-4) + 0.06(5(r-4))
= 1.06 × 5(r-4)
According to the question,
1.06 × 5(r-4) = 45.05
Which is the required equation.
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude

Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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