x = a number
6(x+5)=16
Answer:
If you're using x for "a number" then: 6(x+5)=16
Divide.
-4 4/5 divided by 4
Answer:
-1 1/5
Step-by-step explanation:
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
!!!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.
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)
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:
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
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
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?
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 :-)
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
A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?
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:
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
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
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+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.
d. -6.24, -4.03, -1.82, 0.39, ... Find the 20th term.
Answer:
the 20th term of the sequence is 35.75
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!
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.........
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
37.8234 rounded to the nearest thousandth
Answer:
37.823
Step-by-step explanation:
Answer:
37.823
Step-by-step explanation:
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
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
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.
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
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!
Simplify s^12t^8/s^4t^4.
Answer:
2t^12/s^3
Step-by-step explanation:
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
simplify the following expressions ( combine like-terms )
Answer:
2x+2y+z
Step-by-step explanation:
Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)
Answer:
17
Step-by-step explanation: