Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the coordinates of the three vertices.
I will answer your question using the following illustration.
Assume that the square is ABCD are the given coordinates are:
[tex]A = (3,1)[/tex]
[tex]B = (-1,5)[/tex]
[tex]C = (-5,1)[/tex]
Required
Find D
Let the coordinates of D be:
[tex]D = (x,y)[/tex]
---------------------------------------------------------------------------------------------------------
Calculate the slope of each side.
AB, BC, CD and DA using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
AB:
[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]
BC:
[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]
CD:
[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]
DA
[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]
[tex]m_4 = \frac{1-y}{3-x}[/tex]
AB and CD are parallel sides. So, they have the same slope
i.e.
[tex]m_1 = m_3[/tex]
[tex]\frac{y-1}{x+5} = -1[/tex]
Solve:
[tex]y-1 =-x-5[/tex]
Make y the subject
[tex]y =-x-5+1[/tex]
[tex]y =-x-4[/tex] ---- (1)
BC and DA are parallel sides. So, they have the same slope
i.e.
[tex]m_2 = m_4[/tex]
[tex]1 = \frac{1-y}{3-x}[/tex]
Solve:
[tex]1-y =3-x[/tex]
Make y the subject
[tex]y =1-3+x[/tex]
[tex]y =x-2[/tex] ---- (2)
So, we have:
[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]
Equate both:
[tex]y=y[/tex]
[tex]-x-4=x-2[/tex]
Collect like terms
[tex]-x-x=4-2[/tex]
[tex]-2x=2[/tex]
Solve for x
[tex]x = -\frac{2}{2}[/tex]
[tex]x = -1[/tex]
Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]
[tex]y = -1-2[/tex]
[tex]y = -3[/tex]
So, the missing coordinate is:
[tex]D = (-1,-3)[/tex]
Find the missing angle
Answer:
If this is a parallelogram:
∠y = 112°
corners opposite the 112° corners = 68° [(360° - 112° - 112°)/2 = 68°]
∠z = 68° - 40° = 28°
∠x = ∠z = 28°
Answer:
x = 28°, y = 112°, z = 28°
Step-by-step explanation:
suppose it's a parallelogram,
in a parallelogram, opposite angles are congruent: y = 112°
40 + 112 + x = 180
=> x = 28°
If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z
A photographer shines a camera light at a particular painting forming an angle of 40° with the camera platform. If the light is 58 feet from the wall where the painting hangs, how high above the platform is the painting?
Answer:
Let y be the height above the camera platform of the painting.
tan (40degrees) = y/58
y = 58[tan(40)] = 58(0.8391) = 48.67 feet.
y = 48.67 feet
Step-by-step explanation:
PLEASE HELP ME ASAP PLS
Answer:
5.3
Step-by-step explanation:
3x+4=28
x+4=28/3
x+4=9.3
x=9.3-4
x=5.3
A rectangular prism has a length of 1 yards, a width of 2) yards, and a height of 4 yards.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answer:
8
Step-by-step explanation:
2*1*4=8
Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.
Answer:
1.72
Step-by-step explanation:
8.60= 5 Pounds
So you divide by 5
8.60/5
1.75
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain
Answer:
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
A storage container in the shape of a right cylinder is shown in the diagram. What is the volume
of this container?
A 56.55 in
8. 125.66 in
C251.33 in
D. 502.65 in
Answer:
D
Step-by-step explanation:
502.65
goodluck on your test
Answer:
The volume of the container in the form of a right cylinder is 502.4 cubic inches.
Step-by-step explanation:
What is volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
What is right cylinder?
A right circular cylinder is a three-dimensional solid shape that consists of two parallel bases linked by a closed circular surface.
The volume of a right cylinder is,
[tex]V=\pi r^{2} h[/tex]
Here, r=4in and h=10in
[tex]V=3.14*4^{2} *10\\V=3.14*16*10\\V=502.4[/tex]
Hence, the volume of the container is 502.4 cubic inches.
To know more about volume, right cylinder here
https://brainly.com/question/27661314
# SPJ2
Harrison ,Tad and dale ride their bikes to school Harrison rides 3/4 mile,Tad rides 3/8 and dale rides 3/6 mile. Compare and order and distances the boys ride from least the greatest
Answer:
3/8 , 3/6. 3/4
Tad drove the least miles because the miles ridden is less than both 3/6 and 3/4 miles
Dale rode the second greatest mile because the miles ridden is greater than 3/8 but less than 3/4
Harrison rode the greatest mile because the miles ridden is greater than both 3/6 and 3/8
Step-by-step explanation:
to order the miles ridden , convert the fraction to decimals. to do this, divide the numerator by the denominator
3/4 = 0.75
3/6 = 0.5 miles
3/8 = 0.374
Drag the tiles to write a numerical expression for the following calculation.
Divide the difference between 70 and 20 by 25.
asap plssssss helpppppppp
Answer:
Answers are below.
Step-by-step explanation:
1. b - [tex]c^{2}[/tex]
2. 24/2a
3. 150 - (6 + b)
4. 2c + 10
5. 35 - m
6. 4m
7. (g + 4) 2
8. m - 5 / 4
hope this helps and is right. p.s. i really need brainliest :)
Find two sets of values for c and d such that
16c = 2d
Answer:
both 0 is one and c = 1 while d = 4 is another
Step-by-step explanation:
503.74 - 276.21 pls help need answer nowwwwww
Answer:
227.53
Step-by-step explanation:
503.74 - 276.21 = 227.53
pls help me with 3,4, and 5
Answer:
#3 C. Subtract 11
#4 D. Subtract 10
#5 A. Add 9
Answer:
Step-by-step explanation:
3) Subtract 11
25-11=14
42-11=31
42-11=31
50-11=39
59-11=48
4) Subtract 10
26-16=10
32-10=22
44-10=34
48-10=38
55-10=45
5) Add 9
10+9=19
22+9=31
23+9=32
24+9=33
46+9=55
El radio de la base de un cono circular recto mide 18.8 cm. ¿Cuál es el mayor valor que se puede tomar la altura h, para que el volumen sea máximo 416.4 centímetros cúbicos?
Respuesta:
21,16cm
Explicación paso a paso:
Volumen de un cono = 1 / 3πr²h
r es el radio de la base del cono
h es la altura del cono
Dados los siguientes valores
radio r = 18,8cm
Volumen = 416,4 centímetros cúbicos
Sustituir en la fórmula y obtener la altura.
Volumen de un cono = 1 / 3πrh
416,4 = 1 / 3π (18,8) h
416,4 = 1/3 * 3,14 * 18,8 h
416,4 = 19,6773h
Intercambio
19,6773h = 416,4
h = 416,4 / 19,6773
alto = 21,16 cm
Por lo tanto, el valor más grande que se puede tomar para la altura h, por lo que el volumen es un máximo de 416,4 centímetros cúbicos es 21,16 cm.
Answer:
21,16cm
Step-by-step explanation:
Espero que esto ayude
Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2
Answer:
[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]
brainyliest pls
The volume of a square prism is 192 in. If the height of the prism is three times the length of the base, what is the height of the prism?
Answer:
what are the other dimensions ?
Step-by-step explanation:
A rectangular garden has an area of 3/7 square miles. If its length is 2/8 miles, what is its width?
Answer:
3/7 divided by 2/8 would be your simple equation to find the missing length:
3 8
__ x ___ = 24/14 *simplify* 1 10/14 *simplify more* 1 5/7
7 2
Step-by-step explanation:
Make the divisor a reciprocal (just turning the fraction upside down) then turn the division sign into a multiplication sign and do multiplication across to get your final answer, 1 5/7 is your answer.
Whenever finding a missing side length always divide the area by the known given length.
Hey can you help me fast!!!
Answer: -15 + 42
Step-by-step explanation:
Can someone help me with this and explain it?
Answer:
4 pizzas
Step-by-step explanation:
Equation:
12x + 7 = 55
12x = 55 - 7
12x = 48
x = 4
What is equivalent to 12:20
Answer:
3:5 or 3/5
Step-by-step explanation:
12:20
3:5
it can be 3/5 also
Help me plssss
Find m < ABC.
Answer:
m<ABC=51°
Step-by-step explanation:
The inscribed angle is half the measure of the intercepted arc. This means that angle ABC=1/2 arc AC
Using this, let's make an equation
5x+11=(1/2)(16x-26)
5x+11=8x-13
11=3x-13
24=3x
x=8
Now go back to angle ABC and substitute for x
5(8)+11=51
m<ABC=51°
Answer:
m<ABC = 51
Step-by-step explanation:
m<ABC = 1/2 arc AC
(5x + 11) = 1/2(16x-26)
x=8
Plug it in
5(8) + 11 = 51
PLZ HELP QUICK WILL MARK BRAINLIEST
Answer:
21
Step-by-step explanation:
Solve the triangle, round answers to the nearest tenth.
Step-by-step explanation:
to get DE nd also EF u can use the cosine rule since two angles and a side has been given
and to get the angle at D since we know ∆=180 then u add up the angles given then u subtract from 180
if u can explain please :)
Answer:
it would be c because 12+8 = 20 and 24 is closer to 20
What is the product of 7 radical 3 and 9 radical 15 in simplest radical form?
Keke is that bit.ch and you know i'm with the shi. and i will beat the hell out of you so get the fu.ck out my face
which is the solution to 4/5(n-3)=n-2
Answer:
-2 = n
Step-by-step explanation:
Multiplying both sides by (5/4) quickly isolates (n - 3):
(5/4)(4/5)(n - 3) = (5/4)(n - 2), or
n - 3 = (5/4)(n - 2)
Let's eliminate fractions by multiplying both sides by 4:
4n - 12 = 5n - 10
Combining like terms, we get -2 = n
2. Christine can bake cookies for a school bake sale to
raise money for the school's soccer team in 9 hours. If
her friend, Emily, on the soccer team helps her, it only
takes 4 hours. How long would it take Emily to bake the
cookies alone?
Answer:
the time taken by Emily to bake the cookies alone is 7.2 hours
Step-by-step explanation:
The time taken by Emily to bake the cookies alone is shown below:
Given that
Christine can bake cookies in 9 hours
And, if her friend Emily is also helps her so it only takes 4 hours to bake the cookies
Now based on the above information
[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{4} \\\\\frac{1}{x}= \frac{1}{4} - \frac{1}{9} \\\\\frac{1}{x}= \frac{9 - 4}{36} \\\\\frac{1}{x}= \frac{5}{36} \\\\x = \frac{36}{5}\\\\= 7.2 hours[/tex]
Hence, the time taken by Emily to bake the cookies alone is 7.2 hours
A glass marble has a radius of 1cm. How much glass is in the marble?
Answer:
4.19cm^3
Step-by-step explanation:
π^2
V=[tex]\frac{4}{3}[/tex]πr^3
= 4/3·π·13≈4.18879
Which of the following is most likely the next step in the series
Answer:
it should be answer "C"
Step-by-step explanation:
each picture it removes 1 point, first one has 4, next has 3, next has 2, ect.
Determine if the two triangles are congruent. If they are state the condition
Answer:
They are congruent, SAS, hope am right, wasn't sure about this