Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.
Answers
Assume that the figure is a trapezoid.
All trapezoids are quadrilaterals.
All quadrilaterals' interior angles add up to 360° because any n-gon's interior angles add up to 180(n-2)°.
We are given that the trapezoid has three right angles.
All right angles are 90°, thus these right angles have a total measure of 270°.
We can conclude fourth angle must be 90°.
If it has four right angles, it is a rectangle.
Rectangles have two sets of parallel sides.
However, trapezoids have exactly one set of parallel sides.
Alas, our figure cannot be a trapezoid.
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In the diagram, . Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent.If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?3 in.7 in.20 in.24 in.
Peaches come in large and small cylindrical cans. The larger can has a radiusand height that are both four times longer than the radius and height of thesmaller can. If the volume of the smaller can is 32.16 in what is the volume ofthe larger can?O A. 385.92 in 3O B. 257.28 in3O C. 128.64 inO D. 2058.24 in
What is the equation of a line passing through the point (a, b) and having a slope of b?
2x+2=nx-3
Answers
Answer:
the value of n that makes the equation have no solution is n = 2.
Step-by-step explanation:
To find the value of n that makes the equation have no solution, we can start by rearranging the equation in terms of x:
2x + 2 = nx - 3
Let's simplify the equation by combining like terms:
2x + 2 = nx - 3
Moving all the x terms to the left side and the constant terms to the right side, we get:
2x - nx = -3 - 2
Factoring out x on the left side:
x(2 - n) = -5
For this equation to have no solution, the coefficient of x (2 - n) must equal zero. This is because if the coefficient is zero, any value for x would result in the left side of the equation being zero, which would not be equal to the constant term on the right side (-5).
Setting 2 - n = 0, we can solve for n:
2 - n = 0
Subtracting 2 from both sides:
-n = -2
Multiplying both sides by -1 to isolate n:
n = 2
Therefore, the value of n that makes the equation have no solution is n = 2.
A fence is placed along the entire perimeter of the triangular garden. The roll of fencing is 40 ft long.
Part B: Write a simplified expression to show the amount of fencing, in feet, which is left from the roll of fencing.
Answers
p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)
This is actually an equation so the expression to represent perimeter would simply be...
x + 2(2x+5)
B: Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...
40 - x + 2(2x+5) = the leftover amount of fencing
so the expression is...
40 - x + 2(2x+5)
Answers
we need to find m - gradient and c - intercept of the graph
since we have been given 2 points we know the x and y coordinates of these 2 points
point A , x = 0 and y = -4
point B , x = 6 and y = 2
substituting these x and y values in y = mx + c form
-4 = m*0 + c
-4 = c
then intercept is -4
substituting x and y in point B
2 = m * 6 + c
since c = -4
2 = 6m - 4
6m = 6
m = 1
since we know m=1 and c = -4
the equation for line AB is
y = 1*x - 4
y = x - 4
Answer: the answer is y + 4 = x
(3x + 5)(x – 1)
(3x – 1)(x – 5)
(3x – 5)(x – 1)
Answers
3x^2 - 3x - 5x + 5
3x(x - 1) - 5(x - 1)
(x - 1)(3x - 5)
The answer is: (x - 1)(3x - 5).
the real answer is (3x – 5)(x – 1)
Answers
Answers
Answer:
The total price would be $15.60.
Step-by-step explanation:
30 rolls times $.52 equals 15.6, or 15 dollars and 60 cents.
Answer:
$15.60
Step-by-step explanation:
30 x .52