Answer:
Yes, the trapezoid is an isosceles trapezoid.
As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.
What is the area of a trapezoid?The area of a trapezoid is the average length of the parallel sides times the height.
We know isosceles trapezoids have equal legs length and diagonals are also of the same length.
Given a trapezoid KLMN with verticies K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.
To determine if KM and LN are equal or not we'll simply use the distance formula which is,
D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].
∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].
KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].
KM = [tex]\sqrt{5}[/tex].
And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].
LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].
LN = [tex]\sqrt{ 4 + 9}[/tex].
LN = [tex]\sqrt{13}[/tex].
∴ KM ≠ LN hence diagonals are not equal.
learn more about trapezoids here :
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Helpppp I’m marking brainliest
Answer:
y=x+6
tell me if its right
Answer: y = x + 6
Step-by-step explanation:
In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x
terms.
7x+ 3y = 5
2x+5v=-11
What are the resulting equations?
Answer:
14x + 6y = 10
14x + 35y = -77
Step-by-step explanation:
Multiply the top one by 2
14x + 6y = 10
Multiply the bottom one by 7
14x + 35y = -77
His next step is to subtract. You could have done this by multiplying the top one by -2
-14x - 6y = - 10
14x + 35y = -77 Now all you need do is add. The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.
Answer:
A) 14x + 6y = 10
-14x - 35y = 77
Step-by-step explanation:
multiple the first equation by 2 and the second equation by -7
2( 7x + 3y = 5)
-7( 2x + 5y = -11)
14x + 6y = 10
-14x - 35y = 77
In triangle ABC, point D is the centroid, and BD = 6. Find BE.
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.
[tex]2x=6[/tex]
[tex]x=\dfrac{6}{2}[/tex]
[tex]x=3[/tex]
Now,
[tex]BE=BD+DE[/tex]
[tex]BE=6+x[/tex]
[tex]BE=6+3[/tex]
[tex]BE=9[/tex]
Therefore, the measure of side BE is 9 units.
The graph of a liner function is shown on the coordinate grid. what is the slope of the graph of this function?
A-7/3
B-3/7
C- -7/3
D- -3/7
Answer: C -7/3
Step-by-step explanation: Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)
find the value of z
Answer:
[tex] z = 12 \sqrt{5} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]
By Pythagoras Theorem:
[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]
3)
Find the area of a rhombus with diagonals of 10 inches and 7 inches.
1)
A)
35 in 2
B)
40 in 2
C)
45 in 2
D)
70 in 2
Answer:
35 in 2
Step-by-step explanation:
A, search it up. :)
between which two consecutive integers does the square root of 830 lie
28^2=784
29^2=841
784<830<841
therefore sqrt784<sqrt830<sqrt841
therefore 28<sqrt830<29
Done!
The number 650,000 written in scientific notation would be _____.
A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
9514 1404 393
Answer:
a) difference of charges is 15 -0.05m
b) Justin should rent from EnvoCar
Step-by-step explanation:
a) EnvoCar charges ...
c = 65 +0.10m . . . . . c = charge for m miles
FreedomRide charges ...
c = 80 +0.05m
Then FreedomRide charges more by ...
(80 +0.05m) -(65 +0.10m) = 15 -0.05m
__
b) If Justin's round-trip distance is 250 miles, the extra charge from FreedomRide is ...
15 -0.05(250) = 2.50
For that distance, EnvoCar costs less. Justin should rent from EnvoCar.
_____
Additional comment
The additional charge from FreedomRide is zero when m=300. Above that mileage, FreedomRide charges less.
Cool down tickets, a school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult tickets cost $5. If the school sells x child tickets and y adults, then the equation 3x + 5y=500 expresses the fact that school raised exactly $500 from ticket sales. Solve thevequation for x. 2. Explain whenot might be helpful to resrite the equation this way.
Answer:
x = 1/3(500 + 5y)
Step-by-step explanation:
Given that:
x child tickets for $3
y adult tickets for $5
3x + 5y = 500
To solve for x
3x = 500 + 5y
Divide through by 3
3x /3 = 500/3 + 5y/3
x = 1/3(500) + 1/3(5y)
x = 1/3(500 + 5y)
2.)
If the total number of tickets sold was made available, then a more direct solution would have been obtainable as we can have two different equations;
One for the total number of ticket sales and the other of the total revenue from ticket sales.
Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that
Answer:
128mm
Step-by-step explanation:
Given
[tex]Pipe = 88mm[/tex]
[tex]Ope\ nnings = 40mm\ larger[/tex]
Required
Determine the length of the openings of the pipe
To do this, we simply add 40mm to the length of the pipe.
This gives:
[tex]Ope\ nings = 88mm + 40mm[/tex]
[tex]Ope\ nings = 128mm[/tex]
Hence, the opening must be 128mm
Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her regular rate is $6.86. How much would Sung Loo make?
Answer:
$432.18
Step-by-step explanation:
Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour
Double time = 2*6.86 = $13.72 per hour
Rest of the time => At regular rate
Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)
= 10(10.29) + 4(13.72) + (40)(6.86)
= $ 432.18
Answer:
so 10 hours was 1,5 time and 4 hours was 2 (double) time Her regular rate is $6,86/h so 10 h with 1,5 time make 10*1,5 = ? and 4 h with 2 time make 4*2 = ? total how much you get multiplie by 6,86 and will get in this way easy sure the correct answer.
help please
-8+(-5)+9+11=
Answer:
=7
Step-by-step explanation:
= -8+(-5)+9+11
= -8-5+20
= -13+20
= 7
Ed spoke to his cousin in Australia, who told him it was 28 degrees Celsius that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?
Use the formula, F = StartFraction 9 Over 5 EndFraction C + 32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
48Degrees Fahrenheit
50Degrees Fahrenheit
82Degrees Fahrenheit
108Degrees Fahrenheit
Answer:
82
Step-by-step explanation:
Do the equation
Answer:
82.4 degrees Fahrenheit. one degree Celsius is 33.8 degrees Fahrenheit. hope this helps mark me brainliest!!
Step-by-step explanation:
А
R
29
20
B
21
Find tan(a) in the triangle.
Answer:
Step-by-step explanation:
308 miles in 7 hours. Find the
rate and unit rate in miles per
hour. Please help :) It’s 15 points.
Answer:
They did 44 miles per hour
Step-by-step explanation:
308 / 7 = 44
What property is -2x–6+4=-2? (see image)
Find the length of the third side. If necessary, round to the nearest tenth.
17
25
Answer:
the real answer is 48 but if you round it to the nearest tenth it's 50
Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.
Find the height of a cone that has a radius of 3 in and a volume of 96.91 in.
Answer:
thank you lil shawty
Step-by-step explanation:
a straight line has equation 4y-5x=2 work out the gradient of this line
Answer:
gradient = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
4y - 5x = 2 ( add 5x to both sides )
4y = 5x + 2 ( divide the terms by 4 )
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
with gradient m = [tex]\frac{5}{4}[/tex]
how do i solve 2.5a+12=5a
Answer:
a
=
4.8
Step-by-step explanation:
there
How many degrees is Angle 1?
1
1
30
80
Answer:
angle 1 is 30 degrees
Answer:
80 is the correct ansqer
Please help me with this
If r = .15, this indicates
Answer:
Then D=.30
Step-by-step explanation:
Diameter is two times the radius
I think this is correct I'm not to sure
hope this helps :)
A line has equation 2x + y=20 and a curve has equation y=a+
18/x-3, where a is a constant.
Find the set of values of a for which the line does not intersect the curve
Answer:
we have two equations:
2*x + y = 20
y = a + 18/x - 3
We want to find the values of a such that the graphs of the equations do not intersect.
The first step is to isolate y in the first equation.
now we get:
y = 20 - 2*x
Then we have the system of equations:
y = 20 - 2*x
y = a + 18/x - 3
If the line intersects the curve at a point (x, y), then at that point both functions have the same value of y, then:
20 - 2*x = y = a + 18/x- 3
We want to find a value of such that this does not happen.
Let's solve that equation and see what we can find.
20 - 2*x = a + 18/x - 3
20 + 3 = a + 18/x + 2*x
23 = a + 18/x + 2*x
(23 - a) = 18/x + 2*x
if we multiply all values by x, we get:
(23 - a)*x = 18 + 2*x^2
Then we have a quadratic equation, we can write this as:
2*x^2 - (23 - a)*x + 18 = 0
Now, remember that if the determinant of the quadratic function is smaller than zero, then the function does not have any real solution, then we need to find a such that the determinant of this quadratic equation is smaller than zero.
Remember that for a quadratic equation:
a*x^2 + b*x + c = 0 is:
b^2 - 4*a*c
In this case, the determinant is:
(-(23 - a))^2 - 4*2*18
(23 - a)^2 - 144
And this must be smaller than zero, then:
(23 - a)^2 - 144 < 0
23^2 - 2*23*a + a^2 - 144 < 0
529 - 46*a + a^2 - 144 < 0
a^2 - 46*a + 385 < 0
Notice that the function has a positive leading coefficient, then the arms of the function go upwards, then the region of the function that is smaller than zero is the values of a that are between both roots of a.
Then we need to solve:
a^2 - 46*a + 385 = 0
We can use the Bhaskara's equation to find the roots, the roots are given by:
[tex]a = \frac{-(-46) +- \sqrt{(-46)^2 - 4*1*385} }{2*1} = \frac{46 +-24}{2}[/tex]
Then the two roots are:
a₁ = (46 + 24)/2 = 35
a₂ = (46 - 24)/2 = 11
Then for all the values of a suc that:
11 < a < 35
The line does not intersect the curve.
SYMBOL THAT INDICATES THE ROOT OF THE NUMBER
Answer:
The root symbol (√ ) is used to represent the square root of any number.
Answer:
[tex]\sqrt{x}[/tex]
Square Root
find the missing value so that the line passing through the points has the given slope.
(10, y) and (3, 4); m= - 2/7
Answer:
y = 2
Step-by-step explanation:
use slope formula:
(4 - y) / (3 - 10) = -2/7
4-y / -7 = -2 /7
cross-multiply:
7(4 - y) = (-7)(-2)
28 - 7y = 14
-7y = -14
y = 2
The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount? Explain
Answer:
$16.25. You do 30% of $12.50 and then add it on that is pretty much it
Step-by-step explanation:
What is 0.3709 rounded to 2 decimal places?
Answer:
If its to the left the answer is 1 and if its to the right the answer is 10 i think
Step-by-step explanation:
sorry if its wrong
Select one or more expressions that together represent all solutions to the equation.
sin(x)=-0.7
Answer:
A. [tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]
B. [tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]
Step-by-step explanation:
The negative value of the sine function indicates that [tex]x[/tex] is located at third and fourth quadrants. Besides, this function has a period of 360º. There are two families of solutions:
[tex]x_{1} = \sin^{-1} (-0.7)[/tex]
[tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]
[tex]x_{2} = \sin^{-1} (-0.7)[/tex]
[tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]
Hence, right answers are A and B.