Answer:
(x-1)^2 + (y-1)^2 = 16
Step-by-step explanation:
center, (h,k) = (1,1) radius = 4
put in standard form for a circle
(x-h)^2 + ( y-k)^2 = r^2
Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4. the four angles of the quadrilateral are °, °, °, and °.
The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:
1:2:5:4
Let the sides of the quadrilateral be x, 2x, 5x, 4x.
We know the sum of all angles of quadrilateral = 360°
x+2x+5x+4x=360
12x = 360
First angle, x = 30°
Seconds angle, 2x = 2×30 ⇒ 60°
Third angle, 5x = 5×30 ⇒ 150°
Fourth angle, 4x = 4×30 ⇒ 120°
Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°
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The four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Step-by-step explanation:
Opposite of 3 less than 10
Answer:
-13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
Becuase 13's opposite is -13.
(If you still dont understand you can search up negative and positive number lines up to 20!)
Please help me I’m really bad at geometry
Answer:
x+15=180(being co-interior angle)
x=180-15
x=165
HELPPPP PLEASEEE!!!!!!!!!!!!!!!!!!!!
Answer:
I can't see the full question but as far as I can tell
by the picture
x=100
Dawn is selling her MP3 player for
3
4
of the original price. The original price for the MP3 player was $40. How much is she selling her MP3 player for?
$ 40
to find:the new price she's selling her MP3 player.
solution:3/4 of 40 or (3/4)*40
= $30.
so, she is selling her MP3 player for $30.
What is the perimeter of the figure?
Answer:
68.7
Step-by-step explanation:
Lets say this triangle is represented as ABC.
AB = BC
So:
23+23+22.7 = p
p = 68.7
What is the greatest common denominator of 24 and 25
Answer:
1
Step-by-step explanation:
The only number 24 and 25 can both have is 1
Helppppp pls
I don’t understand I’ll give brainliest
Answer:
m∠5 = 75°
Step-by-step explanation:
Angle 2 and Angle 4 are the same as they are alternate interior angles.
Since m∠2 = 45°
We then have m∠4 = 45°
We are given m∠3 = 60°
Now, we just have to find 7∠5.
The sum of the angle of a triangle adds up to 180°.
So, m∠3 + m∠4 + m∠5 = 180°.
60° + 45° + m∠5 = 180°.
Solving for ∠5
m∠5 = 180° - (60° + 45°)
m∠5 = 180° - (105°)
m∠5 = 75°
Write an equation in slope-intercept form that is perpendicular to 4x - 5y = 1 and passes through (-3, 4).
Answer:
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{ 4}[/tex]
Step-by-step explanation:
4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{4}[/tex]
Answer:
y = -5/4x + 1/4
Step-by-step explanation:
*Pependicular line have negative reciprocal slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)4x - 5y = 1 <== subtract 4x from both sides
-4x -4x
-5y = -4x + 1 <== divide both sides by -5
/-5 /-5
y = 4/5x - 1/5
Find the Negative reciprocal of the line:
Steps:
1. Take your original slope (4/5)
2. Flip it (5/4)
3. Change the sign (-5/4)
The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)
We need to find the y-intercept (b) for the perpendicular line using (-3, 4):
y = -5/4x + b <== substitue -3 for x and 4 for y
4 = -5/4(-3) + b
4 = 15/4 + b <== multiplify both sides by 4
4(4 = 15/4 + b)
16 = 15 + 4b <== subtract 15 from both sides
-15 -15
1 = 4b <== divide both sides by 4
/4 /4
1/4 = b
y = -5/4x + b changes to y = -5/4x + 1/4
Hope this helps!
Eliminate the parameter.
x = 5t, y = t + 8 (2 points)
Answer: y = [tex]\frac{1}{5}[/tex]x + 8
Step-by-step explanation:
This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.
Given:
x = 5t
Divide both sides of the equation by 5:
t = [tex]\frac{1}{5}[/tex]x
-
Given:
y = t + 8
Plug in:
y = ([tex]\frac{1}{5}[/tex]x) + 8
Answer:
y = [tex]\frac{1}{5}[/tex]x + 8
A train museum has a toy train that goes around the entire museum. the train goes around 10 times in 2 hours.
A student calculated the amount of times it takes for the train to go around 1 time. the work is shown.
2 hours ÷ 10 = 0.2 hour
0.2 is the same as 0.20, so it takes 20 minutes for the train to go around 1 time
the student's work is incorrect.
explain any error in the student's work
explain how to correct the student's work and find the amount of time it took for the train to go around the museum 1 time
Answer:
See below
Step-by-step explanation:
.2 of an hour is .2 * 60 min = 12 min
120 min / 10 times = 12 min per trip
The train takes 12 minutes to go around the museum once.
What is multiplication?A mathematical arithmetic operation is multiplication. Moreover, it is the practice of repeatedly adding the same expression kinds.
Example: 2 x 3 means that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A toy train that travels the length of a train museum is present. In two hours, the train travels roughly ten times.
The error in the student's work is converting 0.2 hours to 20 minutes. 0.2 hours is equal to 12 minutes, not 20 minutes.
To correct the student's work, we can multiply 0.2 by 60 to convert it to minutes:
0.2 hours × 60 minutes/hour = 12 minutes
Therefore, it takes 12 minutes for the train to go around the museum 1 time.
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How many groups of tens would represent the value of the digit 4 in the number 14752?
A. 4
B. 40
C. 400
D. 4000
show me why
Answer:
C. 400
Step-by-step explanation:
The number 14752 is "Fourteen thousand, seven hundred and fifty two"
The 1 is the place of ten thousands ⇒ 10,000
The 4 is the place of thousands ⇒ 4,000
The 7 is the place of hundreds ⇒ 700
The 5 is the place of tens ⇒ 50
The 2 is the place of units ⇒ 2
So we need to find how many groups of tens are in 4000.
To do this, divide 4000 by 10.
To divide anything by 10, simply move the decimal point one place to the left.
Therefore, there are 400 groups of ten in 4000
as 400 × 10 = 4000
help me find m and n please
Answer:
n is 68 and m is 44
Step-by-step explanation:
- Select the equivalent expressions. 71-9y and (7x - y) (9) 5 (3t - 6) and 15 - 30 4 (6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)
Answer:
D. 16 + 72n and (2 + 9n) (8)
Step-by-step explanation:
Select the equivalent expressions.
71 - 9y and (7x - y) (9) 5(3t - 6) and 15 - 30 4(6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)Distribute to find the equivalent expressions:
A.
71 - 9y and (7x - y) (9)
71 - 9y = 9(7x) + 9(-y)
71 - 9y = 63x - 9y
Not equivalent
B.
5(3t - 6) and 15 - 30
5(3t) + 5(-6) = 15 - 30
15t - 30
Not equivalent (it's missing the variable - t)
C.
4(6a + 86) and 10a + 126
4(6a) + 4(86) = 10a + 126
24a + 344 = 10a + 126
Not equivalent
D.
16 + 72n and (2 + 9n) (8)
16 + 72n = 8(2) + 8(9n)
16 + 32n = 16 + 72n
Equivalent
Therefore the correct answer is D
Hope this helps!
32,000 is what fraction of 106,000
Step-by-step explanation:
I hope this helps, you can ask any questions for clarification
!!!!????????!!!!!??????
Answer:
h = 19 mm
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the base and h the height )
the base is a regular pentagon whose area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
p = 5 × 12 = 60 mm and a = 5 mm , then
A = [tex]\frac{1}{2}[/tex] × 60 × 5 = 30 × 5 = 150 mm²
given V = 2850 , then
150h = 2850 ( divide both sides by 150 )
h = 19 mm
Which one is it
(1, 100)
(3, 49)
(4, 50)
(2, 74)
Answer:
(1, 100) » First one
(3, 49) » Third one
(4, 50) » Forth one
(2, 74) » Second one
Step-by-step explanation:
[tex]{}[/tex]
Consider these scenarios.
1. An elephant weighs 1.5 × 104 units.
2. A mouse weighs 2.13 × 10-5 units.
3. A puppy weighs 1.2 × 102 units.
Determine the unit of measurement that best represents each scenario.
1.
2.
3.
1. Pounds
2. Tons
3. Ounces
You guys have a good day :)
Answer:
1.pounds
2.tons
3.ounces
Step-by-step explanation:
just got it right on edge
23). figure b is a scale image of figure a enter the scale factor applied.
24). to figure A to produce fiber B
Answer:
9
Step-by-step explanation:
The scale factor is the ratio of a Figure B dimension to the corresponding Figure A dimension.
__
The ratio of left-side dimensions is ...
scale factor = fig B/fig A = 81/9 = 9
The scale factor is 9.
Answer:9
Step-by-step explanation:
What is the fourth term of the geometric sequence whose first term is 7 and has a common ratio of -2
Answer:
-56
Step-by-step explanation:
It is often easiest to find terms of a sequence by simply writing each one based on the previous one. Here, the common ratio of -2 tells you that each term is -2 times the previous term.
The first four terms are ...
7, -14, 28, -56
The fourth term is -56.
A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and
2 plastic containers contain 6p quarts of water in all
how much water can the plastic container hold? give your answer is terms of p.
Answer:
12
Step-by-step explanation:
collect the like terms and divide
(p+6)2×2=64p+24=6p1) Water in a plastic container, p'= 10 - 3 p
2) Water in a glass container = 27 quarts
Water in a plastic container = 1 quarts
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.
Now,
Let j represents water in one glass jag while p' represents the water in one plastic container,
Hence, According to the question,
⇒ j - p' = 6p+8 --------(1)
And, 2j+2p'=56p --------(2)
2 × equation (1)
⇒ 2 j - 2 p' = 12p + 16 ---------(3)
Equation (2) + equation (3)
We get, 4 j = 12 p + 72
⇒ j = 3 p + 18
Putting this value in equation (1),
We get, 3p+18-p'=6p+8
p' = -3p + 10 = 10 - 3p
Thus, water in a plastic container, p'= 10 - 3 p
b) If p=3
Water in a glass container = 3 × 3 + 18 = 27 quarts
Water in a plastic container = 10 - 3 × 3 = 1 quarts
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solve fox x 8 = 3a - 4
simplify (-3x)^2
please I need to know this answer
Answer:
9x²
Step-by-step explanation:
(- 3x)²
= - 3x × - 3x
= - 3 × - 3 × x × x
= 9 × x²
= 9x²
KITE is a kite.
a. Find the length of KI.
b. Find the length of IT.
Round your answers to the nearest hundredth.
Answer:
KI = 4.47
IT = 6.32
Step-by-step explanation:
KI
2²+4² = 4+16 = 20
The square root of 20 is 4.47
IT
2²+6² = 4 + 36 = 40
The square root of 40 is 6.32
Factor 15x ^2 −42xy+24y^2
What expression can be used to subtract 2/3 - 4/9
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1. [tex]\frac{2}{3} -\frac{4}{9}[/tex]
2. Multiply [tex]\frac{2}{3}[/tex] by [tex]\frac{3}{3}[/tex] to get a denominator equal to [tex]\frac{4}{9}[/tex]
3. [tex]\frac{2}{3} *\frac{3}{3} =\frac{6}{9}[/tex]
4. [tex]\frac{6}{9}-\frac{4}{9} =\frac{2}{9}[/tex]
The expression is: [tex]\frac{2}{3}*\frac{3}{3} -\frac{4}{9}[/tex]
Answer:
6/9-4/9
Step-by-step explanation:
ez pls mark branliest
Solve the equation and show your work.
A . 17x + 12 = 54 - 4x
B . 5x - 10 + 2x = 6(x + 1) - x
Answer:
A. x= 2
B. x= 8
Step-by-step explanation:
Solving an equation refers to finding the value of the variable in the equation.
A. 17x +12= 54 -4x
Bring all x terms to one side, constant to the other:
17x +4x= 54 -12
21x= 42
x= 42 ÷21
x= 2
B. 5x -10 +2x= 6(x +1) -x
7x -10= 6x +6 -x
7x -10= 5x +6
Bring all x terms to one side, constant to the other:
7x -5x= 10 +6
2x= 16
Divide both sides by 2:
x= 16 ÷2
x= 8
Hey ! there
Answer:
Value of x in equation A is 2 .Value of x in equation B is 8 .Step-by-step explanation:
In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .
Solution : -
A)[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]
Step 1 : Subtracting 12 on both sides :
[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]
Step 2 : Adding 4x on both sides :
[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: 21x = 42[/tex]
Step 3 : Dividing with 21 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]
Henceforth , value of x is 2 .Verifying : -
Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,
17x + 12 = 54 - 4x 17 ( 2 ) + 12 = 54 - 4 ( 2 )34 + 12 = 54 - 846 = 46L.H.S = R.HSHence , Verified .Therefore , our solution is correct .
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
B)[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]
Step 1 : Adding like terms on left side :
[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]
Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :
[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]
Step 3 : Solving like terms on right side :
[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]
Step 4 : Adding 10 on both sides :
[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]
Step 5 : Subtracting 5x on both sides :
[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]
On further calculations , we get :
[tex] \longmapsto \qquad \: 2x = 16[/tex]
Step 6 : Dividing with 2 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]
Henceforth , value of x is 8 .Verifying : -
Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,
5x - 10 + 2x = 6(x + 1) - x5 ( 8 ) - 10 + 2( 8 ) = 6 ( 8 + 1 ) - 840 ( - 10 ) + 16 = 6 ( 9 ) - 856 - 10 = 54 - 846 = 46L.H.S = R.H.SHence , Verified .Therefore , our solution is correct.
#Keep Learninghi guys I need this ASAP please answer ty
Answer:
6. 30% 7. -30%
Step-by-step explanation:
6. The total comment after the song released =5000
Then, the next day comment add up by 1500
Thus, (1500/5000) × 100
=30% of increase
7. 15.5-10.75 =4.75
(4.75/15.5 )×100= 30%
So, the decrease is -30%( If its about increase then its a positive number, but if its decrease just add a '-')
Answer:
See below ↓↓
Step-by-step explanation:
6.
% increase = Total - Original / Original5000 + 1500 - 5000 / 50001500 / 50000.330% increase8.
% decrease = | New - Original | / Original10.75 - 15.50 / 10.754.25 / 10.750.39539.5% decreasechris took a spelling quiz last week.she got 12 out of 16 problems correct.what percentage did chris get correct
Answer:
Chris got 75% correct.
Step-by-step explanation:
[tex]\frac{12}{16}[/tex] x 100 = 75
So, the percentage chris got correct is 75%
Answer:
He got 75% correct
Step-by-step explanation:
you can do it like this:
[tex]\frac{12}{16}[/tex] × 100 = 3× 25= 75%
Hope you understood and it helped!!
The hypotenuse of a right triangle ensures 17cm and one of its legs measures 13cm
Answer:
sqrt (120)
Step-by-step explanation:
Use pythag theorem
Leg1 ^2 + Leg2^2 = Hypot ^2
13^2 + Leg2^2 = 17^2
Leg2^2 = 17^2 - 13^2
Leg2 = sqrt (120)