Answer:
9178.5
Step-by-step explanation:
Follow PemDas
From Left to Right, you multiply 87 x 422, which is 36,714
Then, thake that number and divide it by 4, giving you 9,178.5
5 Kari makes a kite in the form of a parallelogram, EDGF, as shown in the diagram. Its diagonals [DF] and [EG] intersect at point H. She plots the vertices on a coordinate system with the following coordinates:
D(3,6), G(1,3), H(4, y) and E(x, 6). Find the values of x and y.
Answer:
The values of x and y are;
x = 7 and y = 4.5
Step-by-step explanation:
The question is a word problem, given that the shape of the kite Karl makes is a parallelogram
The coordinates of the vertices are;
D(3, 6), G(1, 3), H(4, y), and E(x, 6)
From the properties of a parallelogram we have;
The diagonals bisect each other
Therefore;
GH = EH = 1/2·GE
Therefore, we have;
The coordinates of the point H = The coordinate of the midpoint of the line EG
The coordinates of the midpoint of a line with end points, (x₁, y₁) and (x₂, y₂) is given as follows;
The coordinates of the midpoint of a line = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Therefore;
The coordinates of the midpoint of the line EG are ((1 + x)/2, (3 + 6)/2)
Given that the midpoint of EG is the point H and the coordinate of the point H is (4, y), we have;
(1 + x)/2 = 4, therefore;
2 × 4 = 1 + x
8 = 1 + x
x = 8 - 1 = 7
Similarly, we have from the coordinate of point H which is given as follows;
((1 + x)/2, (3 + 6)/2) = (4, y)
y = (3 + 6)/2 = 9/2 = 4.5
Therefore, x = 7, y = 4.5.
Parallel sides of a parallelogram have the same slope
The values of x and y are 6 and 3, respectively.
The coordinate points are given as:
[tex]\mathbf{D =(3,6)}[/tex]
[tex]\mathbf{G =(1,3)}[/tex]
[tex]\mathbf{H =(4,y)}[/tex]
[tex]\mathbf{E =(x,6)}[/tex]
Lines DG and HE are parallel.
This means that they have the same slope (m)
The slope is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m_{DG} = \frac{3 - 6}{1 - 3}}[/tex]
[tex]\mathbf{m_{DG} = \frac{- 3}{- 2}}[/tex]
[tex]\mathbf{m_{DG} = \frac{3}{2}}[/tex]
Similarly
[tex]\mathbf{m_{HE} = \frac{6 - y}{x - 4}}[/tex]
The slopes are equal.
So, we have:
[tex]\mathbf{\frac{6 - y}{x - 4} = \frac 32}[/tex]
By comparison:
[tex]\mathbf{6 - y = 3}[/tex] and [tex]\mathbf{x - 4 = 2}[/tex]
Solve for y in [tex]\mathbf{6 - y = 3}[/tex]
[tex]\mathbf{y = 3}[/tex]
Solve for x in [tex]\mathbf{x - 4 = 2}[/tex]
[tex]\mathbf{x = 6}[/tex]
Hence, the values of x and y are 6 and 3, respectively.
Read more about parallelogram and slopes at:
https://brainly.com/question/19654204
37.8234 rounded to the nearest thousandth
Answer:
37.823
Step-by-step explanation:
Answer:
37.823
Step-by-step explanation:
Mel and Rob set the alarms on their phones to sound at 6:45am.
Both alarms sound together at 6:45am
Mel’s alarm then sounds every 9 minutes.
Rob’s alarm then sounds every 12 minutes.
At what time will both alarms next sound together?
Answer:
7:21 am
Step-by-step explanation:
9 18 27 36
12 .24 36
36 minutes later
I give Brainliest to whom says this question is stupid. What is -2x-8
Answer:
No solution it IS STUPID.
Step-by-step explanation:
Answer:
that question is stupid.
Which of the following expression is equivalent to (3x^2y^3)^3?
A) 27x^5y^6
B) 27x^6y^9
C) 9x^6y^9
D) 3x^5y^6
Aisha changed 1.45 + 2.38 to 1.5 + 2.4 in order to estimate the sum. What estimation method did she use?
Answer:
Hi there!
She used rounding to estimate the sum!
To amend a country's constitution, 5/6 of the 44 states in that country must approve the amendment.If 35 states approve an amendment, will the constitution be amended?
simplify the following expressions ( combine like-terms )
Answer:
2x+2y+z
Step-by-step explanation:
PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form
Answer:
[tex]3x-y=14[/tex]
Step-by-step explanation:
To convert an equation into standard form, we want to get into the form [tex]ax + by = c[/tex].
If we have [tex]y=3x-14[/tex], our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.
[tex]-3x + y = -14[/tex]
I find it easier now to just divide both sides by -1, so that we have a more consistent equation.
[tex]3x - y = 14[/tex]
Hope this helped!
y - 660 = 80(X – 7)?
Answer:
y=80x + 100
Step-by-step explanation:
y - 660 = 80(X – 7)
y-660= 80 x - 560
y-660+660= 80 x - 560+660
y= 80x + 100
Answer:
Answer:
y=80x + 100
Step-by-step explanation:
y - 660 = 80(X – 7)
y-660= 80 x - 560
y-660+660= 80 x - 560+660
y= 80x + 100
Step-by-step explanation:
just read it g
make q the subject of the formula 2(q+p)=1+5q
Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
What are the coordinates of the point on the directed line segment from (-6, -10)
to (6, 8) that partitions the segment into a ratio of 2 to 1?
Answer:
(2,2)
Step-by-step explanation:
Solve the equation. -(7-4x)=9
Answer:
x=4
Step-by-step explanation:
-(7-4x)=9
-7+4x=9
4x=16
x=4
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-(7-4x)=9[/tex]
Let's divide both sides by -1. This cancels out the negative on the left:
[tex]7-4x=-9[/tex]
Subtract 7 from both sides. The left cancels:
[tex]-4x=-16[/tex]
Divide both sides by -4. All the negatives will cancel:
[tex]x=4[/tex]
And we're done!
4x-6=x+9 i need help can someone show the work too please
Answer:
x = 5
Step-by-step explanation:
instructions in pic :)
4x - 6 = x + 9
4x - 6 - x - 9 = x + 9 - x - 9 [Subtract x + 9 from both sides]
3x - 15 = 0
3x - 15 + 15 = 0 + 15 [Add 15 to both sides]
3x = 15
3x/3 = 15/3 [Divide both sides by 3]
x = 5
A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?
Please help me, explain
Answer:
C) 3x=54
Step-by-step explanation:
Angle ABD is a straight angle, which means it measures 180 degrees.
Angles ABC & CBD are linear pairs. (The two of them add up to 180°)
ABD is a right angle (90 degrees)
The straight angle (180) minus the right angle (90) equals 90 degrees.
x+2x+2x=90°
Combine like terms
5x=90°
divide by 5 on both sides
x=18
18×3=54
C
Hope this helps :-)
Does anyone know the answer?
Answer:
1=163 degrees
2=×=10 degrees
3=×=3
Step-by-step explanation:
54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees
54x+9x+1-10=180
63x-9=180
63×=180+9
63×=189
63×÷63×=189÷63×
X=3
Angle in bold print is (54x+1)
54×3=162
162+1=163 degrees
No.2 Find x
7x+35+x+65 =180
7x+x+35×65=180
8x+100=180
8x=180-100
8x=80
8x÷8x=80÷8
X=10 degrees
No.3 Find x
54x+1+9x-10=180
54x+9x+1-10=180
63x-9=180
63x=180+9
63x=189
63x÷63x=189÷63
X=3
I hope I was of help
(4x+108) +(2x) =180
What is x? Help please
Answer:
x = 12
Step-by-step explanation:
For this problem, we can simply drop the parenthesis, combine like terms, and isolate x to find the value of x. Below is how to do this:
( 4x + 108 ) + ( 2x ) = 180
4x + 108 + 2x = 180
4x + 2x + 108 = 180
6x + 108 = 180
6x = 72
x = 12
Hence, the value of x is 12.
Cheers.
slove 5y-3w if y=2 and w=-3
Answer: 19
Step-by-step explanation:
Just plug in your variables
5(2) - 3(-3)
10 + 9
Answer:
the answer is 1
Step-by-step explanation:
5 x 2 is 10 and 3 x 3 is 9 so then 10 - 9 is 1
!!!50 points!!
What are two other names for <2?
Answer:
C.
Step-by-step explanation:
Because R is the vertex and you always name a angle with its vertex in the middle, R would have to be in the middle. So the only possible answer is C.
d. -6.24, -4.03, -1.82, 0.39, ... Find the 20th term.
Answer:
the 20th term of the sequence is 35.75
Why mathematics is important for artificial intelligence and machine learning?
Answer:
it helps us understand the more of the society around us and how ir works
HOPE IT HELPS :)
Step-by-step explanation:
El punto 22, los resultados/procedimiento para confirmar que lo hice bien
Answer:
a)
1/4 : a = 1/10
1/4 = a*1/10
(1/4) : (1/10) = a
(1*10):(4*1) = a
10/4 = a
entonces:
1/4 : 10/4 = 1/10
respuesta:
en el recuadro va:
10/4 o su equivalente 2/5
b)
3/7 : a = 9
(3/7) : 9 = a
3 : (7*9) = a
3 / 63 = a
entonces:
(3/7) : (3/63) = 9
(3*63) : (7*3) = 9
63 : 7 = 9
entonces, en el recuadro va:
3/63 o su equivalente 1/21
c
a : (1/2) = 5/2
a = (5/2) * (1/2)
a = (5*1) / (2*2)
a = 5/4
entonces:
(5/4) : (1/2) = 5/2
(5*2) : (4*1) = 10/4 = 5/2
entonces, en el recuadro va:
5/4
d
a : (1/2) = 2/5
a = (2/5) * (1/2)
a = (2*1) / (5*2)
a = 1/5
entonces:
(1/5) : (1/2) = 2/5
(1*2) / (5*1) = 2/5
Mrs. Bryant is making 17
Christmas ornaments. It
takes 30 minutes to make
each ornament. If she
begins at 1430, at what
time will she finish?
(Write in military time)
A sum of money is divided into the ratio 3:4. The larger portion is then divided into 3 parts in
the ratio
If the smallest part is $192, find the original sum of money.
Step-by-step explanation:
this is your answer.........
How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)
63660in
66330in
63360in
63066in
Sign out
6:10
1 mile * 5280 ft * 12 in = 63360 in
There are 63360 inches in one mile
Answer:
63360
Step-by-step explanation:
5280 × 12 = 63360
How do you find the distance of a line segment?
Answer:
Measure the distance from one endpoint to the other.
Answer:
a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y
distance = √(x2-x1)²+(y2-y1)²
example : find distance between two points (2,6) and (3,4) ( find the length of a segment)
d = √(3-2)²+(4-6)
d=√1²+2²
d=√5
Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)
Answer:
17
Step-by-step explanation:
Simplify s^12t^8/s^4t^4.
Answer:
2t^12/s^3
Step-by-step explanation:
Divide.
-4 4/5 divided by 4
Answer:
-1 1/5
Step-by-step explanation: