Answer:
AB is 104
Step-by-step explanation:
In the given figure
∵ CE bisects the segment AB
→ That means CE intersects AB at the midpoint of AB
∵ CE ∩ AB at point F
∴ F is the midpoint of AB
→ The midpoint of a segment divides it into two equal parts
∵ The point F divides AB to FA and FB
∴ FA = FB
∵ FA = 7x + 10
∵ FB = 9x - 2
→ Equate them
∴ 9x - 2 = 7x + 10
→ Add 2 to both sides
∵ 9x - 2 + 2 = 7x + 10 + 2
∴ 9x = 7x + 12
→ Subtract 7x from both sides
∵ 9x - 7x = 7x - 7x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ x = 6
→ Substitute the value of x in FA and FB
∵ FA = 7(6) + 10 = 42 + 10 = 52
∵ FB = 9(6) - 2 = 54 - 2 = 52
∵ AB = FA + FB
∴ AB = 52 + 52 = 104
∴ AB = 104
(3x - 20°
(3x – 20)°
4xº
4xº
(3x – 20°
(3x – 20)
What is the value of x?
Step-by-step explanation:
this is given that the figure is a hexagonlet give a name to the given hexagon be ABCDEFAngle a + B + C + D = 720 ( Ls sum pro. of hexagon)3x-20+3x-20+4x+4x+3x-20+3x-20 = 7203x+3x+3x+3x+4x+4x-20-20-20-20 = 720 (rearranging)20x - 80 = 72020x = 720 + 80 x=800/20x = 40 degrees 3x-20 = 1004x = 160I HOPE THAT THIS ANSWER HELPS YOUI don’t really know the answer I should be easy
Answer:
circumference is 2(pi)r
r = 36
2(3.14)(36) = 226.08
B
Step-by-step explanation:
hope this helps:)
Answer:
The distance from the center of the circle to the edge is the radius (r) which is given to be 36 feet. The formula for circumference is:
Plug in r = 36 to the formula to get:
Therefore, the circumference is 72pi.
Step-by-step explanation:
does anyone know how to solve 2x+3y=7 and 4x-5y=25 using substitution to solve the system of equations. PLEASE HELP ONLY IF YK IT
Answer:
Step-by-step explanation:
first, let us mark the two equations as i and ii
2x+ 3y = 7
or, 2x = 7-3y
or, x = (7-3y) ÷ 2.........................(i)
and let 4x-5y= 25............(ii)
Now, put the the value of x from (i) into (ii)
4[(7-3y) / 2] -5y = 25
2(7-3y) -5y = 25
14- 6y - 5y = 25
-11y = 11
y = -1
Now, put y = -1 back in (i)
x = (7-3y)/2
x = 10 /2
x = 5
how can you represent 1000 as an exponential expression with 10 as the base
Answer:
[tex]10^{3}[/tex]
Step-by-step explanation:
Answer:
10 exponent 3 is the answer
Step-by-step explanation:
у
8
8+
7+
6+
5+
4+
3+
N
1 +
-8 -7 -6 -5 -4 -3 -2 -1
2 3 4 5 6 7 8
do NS
-4
-5+
-6
-7+
-87
Answer:
y=4
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
on the y-axis, the line is on -1
Solve the equation, justify each step with an algebraic property. -11 = -12+ 2x +3
Answer:
-1
Step-by-step explanation:
Given the equation :
-11 = - 12 + 2x + 3
Collect like terms
-11 + 12 - 3 = 2x
-2 = 2x
-2 /2 = 2x/2
x = - 1
Answer:
[tex]x = -1[/tex]
Step-by-step explanation:
Given the equation [tex]-11 = -12 + 2x + 3[/tex] find [tex]x[/tex]
For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:
First substract -3 in both sides of the equation
[tex]-14 = -12 + 2x[/tex]
Later sum 12 in both sides of the equation
[tex]-2 = 2x[/tex]
The final step is multiply by [tex]\frac{1}{2}[/tex] each side of the equation
[tex]-1 = x[/tex]
So the final answer is [tex]x = -1[/tex]
which if the following is not a transformation for y=-(x+2)^2 -2?
A) all are correct
B) shift up 2
C) shift left 2
D) reflection
Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f.g)(x) and express
the result in standard form.
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 12x + 27 \\ g(x) = x - 9 \\ (f \times g)(x) = ( {x}^{2} - 12x + 27)(x - 9) \\ (f \times g)(x) = {x}^{3} - 9 {x}^{2} - 12 {x}^{2} + 108x + 27x - 243 \\ (f \times g)(x) = {x}^{3} - 21 {x}^{2} + 135x - 243[/tex]
Evaluate the expression if x=3 and y=6
4x + 3y
1. 33
2. 30
3. 25
4. 16
Answer:
i believe 30
Step-by-step explanation:
Write -0.37 as a quotient of integers to show that it is rational
Answer:
-37/100
Step-by-step explanation:
Here, we want to write -0.37 as a quotient of integers
What we are saying is that we want to write it as a fraction of two numbers
That would be;
-0.37 = -37/100
HELLLPPPP PLEASEeeee
Answer:
the right down one
Step-by-step explanation:
because a set of parallel linear lines will not have any solutions, since they won't ever touch and intersect each other
2. Which of the following is a solution to the
inequality below?
2x > 6
A-3
с 3
B 2
D 5
Answer:
D
Step-by-step explanation:
2*5 = 10
10 > 6
What is the quotient? StartFraction n + 3 Over 2 n minus 6 EndFraction divided by StartFraction n + 3 Over 3 n minus 9 EndFraction Two-thirds Three-halves StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{n+3}{2n-6} \div \frac{n+3}{3n-9}[/tex]
We are to find the quotient as shown:
[tex]= \frac{n+3}{2n-6} \div \frac{n+3}{3n-9} \\\\= \frac{n+3}{2n-6} \times \frac{3n-9}{n+3} \\\\= \frac{n+3}{n+3} \times \frac{3n-9}{2n-6}\\\\= 1 \times \frac{3(n-3)}{2(n-3)}\\\\= 1 \times \frac{3}{2} \\\\= \frac{3}{2}[/tex]
Hence the correct answer is [tex]\frac{3}{2}[/tex]
Answer:
3/2
Step-by-step explanation:
3/2
What is the gradient of the blue line?
Answer:
gradient = - 5
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5
solve x + 4y = 14 and 3x + 3y = 15 by elimination
Answer:
you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result
Step-by-step explanation:
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 14 → (1)
3x + 3y = 15 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 3x - 12y = - 42 → (3)
Add (2) and (3) term by term to eliminate x, that is
0 - 9y = - 27
- 9y = - 27 ( divide both sides by - 9 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x + 4(3) = 14
x + 12 = 14 ( subtract 12 from both sides )
x = 2
solution is (2, 3 )
Sam Waits on tables and is paid $5.25 an hour he works 40 hours a week plus he earned $310.50 in tips what were his total earnings
Answer:
5.25 x 40 = 210
210 + 310.50 = 520.5 \0
his total earning is 520.50
Step-by-step explanation:
Order the numbers from least to greatest. Show your work. 19/25, -0.33, 68%, -14/20, 50%
Answer:
unchy roll hulu netflix amazon prime
Answer:
-14/20, 50%, 68%, 19/25
Step-by-step explanation:
19/25 is equivalent to 0.76
-14/20 is equivalent to -0.70
50% is equivalent to 0.50
68% is equivalent to 0.68
These placed from least to greatest are
-14/20, 50%, 68%, 19/25.
I hope this helped!
Grace went on a road trip. She had 293 miles to drive on the first day. She was only able to drive 247.7 miles before she had to take a rest stop. What percent of the trip was she able to complete?
Answer:
84.53%
Step-by-step explanation:
total=293
completed=247.7
percentage=247.7/293. ×100%
=84.539%
Answer:
The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production
Work Out:
3/4 + 1/8=
10 points
Due Toda
If a bird is flying 40 meters above sea level and a fish is 20 meters below the sea level, what is the distance between them
Answer:
60
Step-by-step explanation:
the bird is flying 40 meter above sea level and the fish is 20 meters below the sea level
Pls help due ASAP show workings
Answer:
RT = 10
Step-by-step explanation:
Since, U and V are the midpoints of the segments RS and ST respectively.
Therefore,
By Mid-segment Theorem:
RT = 2UV
4x - 22 = 2(10x - 75)
4x - 22 = 20x - 150
150 - 22 = 20x - 4x
128 = 16x
128/16 = x
8 = x
x = 8
RT = 4x - 22 = 4*8 - 22 = 32 - 22 = 10
Help plz someone? Help!!!!
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, 1)
m = [tex]\frac{1-1}{0+3}[/tex] = [tex]\frac{0}{3}[/tex] = 0
Note the slope of any horizontal line parallel to the x- axis is zero
1. identify the coeffieceint: 6x + 19
Answer:
The coefficient is 6 because it has a variable "x"
50 points please help
Answer:
10N to the left
because theres 50N to the right and 60N to the left, the 50 to the right cancels out 50 to the left, leaving you with 10N to the left, or A
Step-by-step explanation:
I hope this helps :)
Answer:
A. 10 N to the left
Step-by-step explanation:
The way you would answer these questions are subtraction or addition. For example, if they are both pulling and pushing to the left it would be 60+30+20=110.
However, it is not. It pulls 30+20N to the right which would be 50N.
Then it pulls 60N to the left
So we have 60N to the left and 50N to the right. Therefore, we would subtract them.
60-50
10
Since 60 goes to the left and was bigger therefore, I would be
A. 10 N to the left.
B. If two points on a line are A(11, - 1) and B(13, 3) , what is the equation of the line in point -stope form ?
Given:
Two points on a line are A(11, - 1) and B(13, 3).
To find:
The point slope form of the line.
Solution:
Point slope form: If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope, i.e., [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].
Two points on a line are A(11, - 1) and B(13, 3). Slope of the line is
[tex]m=\dfrac{3-(-1)}{13-11}[/tex]
[tex]m=\dfrac{3+1}{2}[/tex]
[tex]m=\dfrac{4}{2}[/tex]
[tex]m=2[/tex]
The slope of the line is 2 and it passing through (11,-1). So, the point slope form is
[tex]y-(-1)=2(x-11)[/tex]
[tex]y+1=2(x-11)[/tex]
Therefore, the required point slope form is [tex]y+1=2(x-11)[/tex].
i really need this answer
How many solutions does this system of equations have?
y = -2x + 2
2y + 4x = 4
A. No solution
B. One solution
C. Infinitely many solutions
D. Impossible to determine
Answer:
infinitely many solutions
There are ''Infinitely many solutions'' in this system of equations.
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;
The system of equations are,
⇒ y = -2x + 2 .. (i)
⇒ 2y + 4x = 4 .. (ii)
Now, Solve the expression as;
Multiply by 2 in (i);
⇒ 2y = 2 (-2x + 2)
⇒ 2y = -4x + 4
⇒ 2y + 4x = 4
Clearly., Both equations are same.
Hence, There are ''Infinitely many solutions'' in this system of equations.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Miriam wants to paint her room green. She makes a mixture of 50% yellow paint and 50% blue paint to create the color she likes. What type of change occurs when she mixes the paint? A chemical change B phase change C physical change D solution change
Answer:
A chemical change
Step-by-step explanation:
Since in the question it is mentioned that the Miriam wants to paint her room green so she makes a mixture of yellow paint 50% and the blue paint 50% so here the change that arise at the time when she mixed the paint is the chemical change as the two paints are mix together that means chemical together to develop a chemical change
So the first option is correct
what is 592 .962 rounded to the nearest tenth
Answer:
593.0
Step-by-step explanation:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The 9 is in the tenth place, so we look to the 6 to find the answer. Since 6 is over 5, we will round up. The number after .9 is 1.0, but 1.0 cannot fit in one decimal place. So then, you add the 1.0 to the 592 to get 593.0
can you please answer this quick!
Answer:
a. 3*3-5
=6-5
=1
b. 3*(-2)-5
=-6-5
=-11
c. f(x)=1
or,1=3x-5
or,1+6=x
x=7