Answer: Most likely, the value of w is 5 units.
Step-by-step explanation: P = 2L + 2w
If the perimeter is 28, the side lengths must be less than 14, otherwise there is no width, just two lines on top of one another.
If the width is 7, then all four sides would be 7 units, and <u>that would create a square</u>-- which is a type of rectangle-- but probably not what this question is about.
A width of 5 units makes sense, 2w would be 10, leaving 28-10 = 18 to be divided by 2 for lengths of 9
The rectangle would have a width of 5 units and a length of 9 units.
Answer:
You get a total of two hours of parking.
Step-by-step explanation:
First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!
<h3>1.</h3>
The equation in point-slope form: y - y₁ = m(x - x₁)
slope: m = -2
point: (4, -5) ⇒ x₁ = 4, y₁ = -5
Therefore, the equation of the line in point-slope form:
<h3>
y + 5 = -2(x - 4)</h3>
<h3>2.</h3>
The equation in slope-intercept form: y = mx + b
Parallel lines has the same slope, so:
y = 4x + 2 ⇒ a = 4
If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.
(4, 6) ⇒ x₁ = 4, y₁ = 6
So: 6 = 4·4 + b ⇒ b = -10
Therefore the equation:
<h3>
y = 4x - 10</h3>
<h3>3.</h3>
a = 3
(-1, 1) ⇒ x₁ = -1, y₁ = 1
So: 1 = 3·(-1) + b ⇒ b = 4
The equation:
<h3>
y = 3x + 4</h3>
<h3>4. </h3>
The product of slopes of perpendicular lines is -1.
2x - 7y = 1 ⇒ 7y = -2x + 1 ⇒ y = -²/₇x + ¹/₇
-²/₇×m = -1 ⇒ m = ⁷/₂
(0, -4) ⇒ x₁ = 0, y₁ = -4
-4 = ⁷/₂·0 + b ⇒ b = -4
The equation:
<h3>
y = ⁷/₂x - 4</h3>
The measure of angle A is 65°
Explanation:
Given that ABCD is a quadrilateral inscribed in a circle.
The measure of angle A is 
The measure of angle B is 
The measure of angle D is 
We need to determine the measure of angle A.
Since, we know that the angles B and D are opposite angles and the opposite angles of a quadrilateral add up to 180°
Thus, we have,
Substituting the values, we have,
Thus, the value of x is 32°
Substituting the value of x in the measure of angle A, we get,
Thus, the measure of angle A is 65°
