Answer:
The length of AB: 34
Step-by-step explanation:
What are we given?
B = Midpoint of AC
AB = 8x + 2
BC = 5x + 14
|--------------|--------------|
A B C
(This is what your line would look like)
Our equation would be:
AB + BC = AC
(8x + 2) = (5x + 14)
(AB) = (BC)
(Assuming that our line and points are evenly spread out, we can say that they can equal each other)
8x + 2 = 5x +14
- 5x- 2 = -5x -2
---------------------
3x = 12
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
---------------------
x = 4
1) Substitute
(8x + 2) + (5x + 14) = AC
(AB) + ( BC) = AC
AB = 8(4) + 2
32 + 2
= 34
BC = 5(4) + 14 =
20 + 14
= 34
(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)
The length of the line segment AB is 34 units.
Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.
What is the midpoint of line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
Since, B is the midpoint of AC
AB=BC
8x + 2=5x+14
Subtract 5x on both sides of the equation, that is
8x+2-5x=5x+14-5x
⇒ 3x+2 = 14
Transpose 2 to other side of the equation, we get
3x = 14 - 2
⇒ 3x=12
Transpose 3 to other side of the equation, we get
x=4
So, AB=8x+2
=8×4+2
=32+2=34 units
Therefore, the length of the line segment AB is 34 units.
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What is a uniform circular motion?
a. Uniform circular motion is when an obiect accelerates on a
circular path at a constantly increasing velocity
b. Uniform circular motion is when an object travels on a
circular path at a variable acceleration
c. Uniform circular motion is when an object travels on a
circular path at a constant speed
d. Uniform circular motion is when an object travels on a
circular path at a variable speed (answer this quickly pls)
Answer:
C. Uniform circular motion is when a object travels on a circular path at a constant speed.
7. Identify the appropriate mixed number for the picture shown.
O A. 1²
O B. 3
C. 244
O D. 2 ½
HELP ME IM LOST :/
In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.
Answer:
15 sides
Step-by-step explanation:
Recall the following about interior and exterior angles of polygons.
Interior angles of polygons:
The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.
If we know the number of sides, we can find the sum of the measures of the angles.
Exterior angles of polygons:
The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.
This problem:
QRSTU is a regular pentagon.
The sum of the measures of the sides of a polygon of n sides is
(n - 2)180
For a pentagon, n = 5, so
(n - 2)180 = (5 - 2)180 = (3)180 = 540
The sum of the measures of the angles of pentagon QRSTU is 540.
Since it's a regular polygon, each angle measures 540/5 = 108.
Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.
Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is
(n - 2)180 = (4 - 2)180 = 2(180) = 360
m<VQU = 12 (given)
m<UQR = 108
m<VQR = m<VQU + m<UQR = 108 + 12 = 120
The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.
<VQR + m<R + m<S + m<TVQ = 360
We now substitute the angle values we know and solve for m<TVQ.
120 + 108 + 108 + m<TVQ = 360
m<TVQ = 24
<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.
[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]
[tex] a = \dfrac{360}{n} [/tex]
We know that the measure of an exterior angle is 24 deg.
[tex] 24 = \dfrac{360}{n} [/tex]
[tex] n = \dfrac{360}{24} [/tex]
[tex] n = 15 [/tex]
Answer: 15 sides
Answer:
15 sides
This was tough.
The expression xy3 has a positive value.
What must be true of the value of x if y is negative?
Answer:
x should be positive
Step-by-step explanation:
Can anyone help me out with this one?
Answer:
HEy, dont every do tht
Step-by-step explanation:
Answer:
The value of X is 72
Step-by-step explanation:
corresponding angles
Doughnuts are sold in bags and cartons.
A bag hold 4 doughnuts and a carton holds 10 doughnuts
Tom buys B bags and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C
Answer:
t = b4+c10
Step-by-step explanation
4 times however how many bags
10 times however how many cartons
Rewrite in simplest terms: -4(-2x-7)+6x-7
16 + 7h = 2 what does that equal too?
Answer:
h = -2
Step-by-step explanation:
16+7h = 2
subtract 16 from BOTH sides
7h = 2-16
simplify
7h = -14
divide BOTH sides by 7
h = -2
What is the Slop?????Please give an actual answer. WILL ADD BRAINLIEST FOR BEST ANSWER!!!!!
Answer:
The Slope Is 2/3
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches.
Which equation models this?
Answer:
8x=96 inch
Step-by-step explanation:
How its in the draw you have this situation then the equation that model is the next one:
2*(3X) + 2*X = 96 inch
6X + 2X = 96 inch
8X=96 inch
We must multiply due that there is two sides that measure the same.
The equation which models this situation is,
⇒ 96 = 2 ((3 + 2x) + x)
or ⇒ 96 = 2 (3 + 3x)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A rectangle has a length that is 3 more than twice the width.
And, Its perimeter is 96 inches.
Let the width of rectangle = x
So, The length of rectangle = 3 + 2x
Now, We know that;
⇒ Perimeter of rectangle = 2 (Length + Width)
Substitute all the values, we get;
⇒ Perimeter of rectangle = 2 (Length + Width)
⇒ 96 = 2 ((3 + 2x) + x)
⇒ 96 = 2 (3 + 3x)
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Eric is swimming along the surface of the sea. He uses positive numbers to represent elevations above the surface of the sea and negative numbers to represent depths under the surface of the sea. Mark is sitting on the deck of a ship above Eric , and Ariel is diving beneath Eric. Who could be at an elevation of -3 m?
Answer:
Ariel will be at an elevation of -3 m.
Step-by-step explanation:
There are three persons Eric, Mark and Ariel.
Location of these persons are,
Mark - Sitting at deck (Above the sea level)
Eric - swimming along the surface (At the sea level)
Ariel - diving beneath Eric (Below the sea level)
Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.
Ariel will be at an elevation of -3 m.
Answer:
Ariel
Step-by-step explanation:
khan says so
Select the equation that is the inverse of the given function.
f (x) =( x minus 3 Over 5)
Answer:
x+3/5
Step-by-step explanation:
f(x)=x-3/5
y=f(x) let
y=x-3/5
put x at y and y at x
then,
x=y-3/5
y=x+3/5
f(x) inverse is x+3/5
Here's my question. Thanks! :)
pls answer the following. put them in order from least to greatest:
1.6, 1.6071, 1.08, 1.008.
Answer:
1.008
1.08
1.6
1.6071
Step-by-step explanation:
least to greatist
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?
A.
(7, -1)
B.
(2, -3)
C.
(2, -1)
D.
(5, -3)
Rese
Answer:
a
Step-by-step explanation:
Answer:
The correct answer for plato is option C
Step-by-step explanation:
C. (2, -1)
Haley can read 5/8 pages in 2/3 minutes how many pages can she read in one minute
Given parameters:
Number of pages Haley can read = [tex]\frac{5}{8}[/tex] pages
Time to read the pages = [tex]\frac{2}{3}[/tex] min
Unknown:
Number of pages that can be read in 1 min = ?
Solution:
To solve this problem let us find Haley's rate;
Rate = [tex]\frac{Number of pages Haley can read}{Time }[/tex]
Input the parameters and find the rate;
Rate = [tex]\frac{5}{8} / \frac{2}{3}[/tex]
Rate = [tex]\frac{5}{8} x \frac{3}{2}[/tex]
Rate = [tex]\frac{15}{16}[/tex] pages/min
Now that we know the rate;
In 1 min; number of pages Haley can read;
Number of pages = Rate x time
Number of pages = [tex]\frac{15}{16}[/tex] x 1 = [tex]\frac{15}{16}[/tex][tex]\frac{15}{16}[/tex] pages
Haley can read pages [tex]\frac{15}{16}[/tex] in 1 minute.
a rectangle has a width of 2x + 1 and a length of 6X which expression describes this area
Given parameters:
Width = 2x + 1
Length = 6x
Unknown:
Expression for the area = ?
Solution:
The area of a rectangle is the space it occupies,
Area of rectangle = length x width
Input the parameter and solve;
Area of rectangle = 6x(2x + 1)
= 12x² + 6x
The area of the rectangle is 12x² + 6x
Any help with this plz!!! <33
Answer:
A = 37°B = 63°C = 16°Step-by-step explanation:
The tangent function relates an angle to the measures of its adjacent and opposite sides. The inverse tangent (arctan) function can be used to find the angle from its tangent value.
Tan = Opposite/Adjacent
angle = arctan(opposite/adjacent)
A = arctan(3/4) ≈ 37°
B = arctan(2/1) ≈ 63°
C = arctan(2/7) ≈ 16°
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. How many commercials and movies did Adrian's songs play on?
Answer:
Adrian's songs played on 9 commercials and 5 movies.
Step-by-step explanation:
Let x denotes number of commercials and y denotes number of movies.
Total number of commercials and movies = 14
So,
[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]
Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie
Total amount earned = $1010
[tex]40x+130y=1010\,\,\,...(ii)[/tex]
Put [tex]x=14-y[/tex] in (ii)
[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]
Put [tex]y=5[/tex] in [tex]x=14-y[/tex]
[tex]x=14-5=9[/tex]
Therefore, Adrian's songs played on 9 commercials and 5 movies.
Which algebraic expression is equivalent to this expression?
3(2x − 8) – 11x
A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24
Answer:
the answer is d
Step-by-step explanation:
Answer:
[tex]\huge\boxed{D.\ -5x-24}[/tex]
Step-by-step explanation:
[tex]3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\\\\=(6x-11x)-24=-5x-24[/tex]
Which measure of center is shown in a box plot? mean, median, mode, range
Answer:
B: Median
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
Order the expressions from least to greatest.
22 x 5
111
82 – 60
Answer:
82 - 60, 22 × 5, 111
Step-by-step explanation:
Solve the expressions:
22 × 5 = 110111 = 11182 - 60 = 22Order the expressions from least to greatest:
The third expression has the least value, so it is firstThe first expression has the next greatest value, so it is secondThe middle expression has the greatest value, so it is lastWrite out the expressions from least to greatest:
82 - 60, 22 × 5, 111
How much is the interest on my loan?
I borrowed $400 to buy an MP3 player. I got a two-year loan,
and the lender is charging 8% Simple annual interest. How
much money will I have to pay back?
Time
Interest Principal
$ ?
$400
Rate
0.08
2
/= Prt
1 = 400 x 0.08 x 2
Interest
I
1.00
You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.
What is Simple Interest ?
Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.
The interest on your loan can be calculated using the formula:
Interest = Principal x Rate x Time
In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.
So, plugging in the numbers:
Interest = $400 x 0.08 x 2 = $64
Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:
Total = Principal + Interest
= $400 + $64 = $464
Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.
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Given m||n, find the value of x.
(8x-27) (7x-4)
Answer:
56ײ-221x+108
Step-by-step explanation:
The fastest recorded lava flow moved at an average speed of 7 miles per hour. The function y = 7x
describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to
estimate how many miles the lava moved after 6.5 hours.
50
y
45
40
35
30
25
20
15
10
5
.
0
0
1
2
3
4
5
6
7
8
9
10
?
y = 7x
Put this on a graph (I recommend putting the coordinates into desmos for easy graphing)
0 hours: (0, 0)
1 hours: (1, 7)
2 hours: (2, 14)
3 hours: (3, 21)
4 hours: (4, 28)
5 hours: (5, 35)
6 hours: (6, 42)
6.5 hours: (6.5, 45.5)
After 6.5 hours the lava would have travelled approximately 45.5 miles
I hope this helps you!
Solve for :
2(6 - 2x) + 3x = 4 + 2(5 + x)
Answer:
12-8 +3 = 4 + 10 +3
Step-by-step explanation:
2(6 - 2x) + 3x = 4 + 2(5 + x)
12-4x+3x=4+10+2x
12-x=14+2x
12=14+3x
-2=3x
-2/3=x
It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of calcium, and one ounce of cheddar cheese contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 200y ≥ 1,000.Give three different amounts of milk and cheese that a person could consume to meet the recommendation.
Answer:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
Step-by-step explanation:
Consider the inequality [tex]25x+200y\geq 1000[/tex]
Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.
To write: three different amounts of milk and cheese that a person could consume to meet the recommendation
Solution:
Take [tex]x=20,y=3[/tex]
[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]
So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Take [tex]x=30,y=4[/tex]
[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]
So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Take [tex]x=40,y=5[/tex]
[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]
So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Therefore,
three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
i need help me please :(
Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)
Answer: A and C are correct.
Step-by-step explanation:
Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)
For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s
1. -9n + 1 = -80
2. 144 = 144 = -12(m + 5)
3. -243 = -9(10 + r)
4. -10 = -10 + 7x
5. 4 - 7m = - 66
6. 2(y – 3) = −12
7. 16 = 2(1 + 7a)
8. 3 + 5r = −47
9. −10x + 6 = −74
With work please :) Please and ty
Answer:
1. n = 9
2. m = - 17
3. r = 17
4. x = 0
5. m = 10
6. y = -3
7. a = 1
8. r = -10
9. x = 8
Step-by-step explanation:
