Answer:
m∠BCD = 90°
∠BCD is a right angle
Step-by-step explanation:
If a ray bisects an angle, that means it divides the angle into two equal parts in measure
∵ Ray CE bisects ∠BCD
→ Means divide it into two angles BCE and ECD which equal in measures
∴ m∠BCE = m∠ECD = [tex]\frac{1}{2}[/tex] m∠BCD
∵ m∠BCE = 3x - 6
∵ m∠ECD = 2x + 11
→ Equate them to find x
∴ 3x - 6 = 2x + 11
→ Add 6 to both sides
∵ 3x - 6 + 6 = 2x + 11 + 6
∴ 3x = 2x + 17
→ Subtract 2x from both sides
∵ 3x - 2x = 2x - 2x + 17
∴ x = 17
∵ m∠BCE = [tex]\frac{1}{2}[/tex] m∠BCD
→ Substitute x in the measure of ∠BCE to find it, then use it to
find m∠BCD
∵ m∠BCE = 3(17) - 6 = 51 - 6
∴ m∠BCE = 45°
∵ 45 = [tex]\frac{1}{2}[/tex] m∠BCD
→ Multiply both sides by 2
∴ 90 = m∠BCD
∴ m∠BCD = 90°
→ The measure of the acute angle is less than 90°, the measure of
the obtuse angle is greater than 90°, and the measure of the
right angle is 90°
∴ ∠BCD is a right angle
Write an equation of the line in STANDARD FORM with a slope of 3 and passes through the point (6,-2) in standard form using the formula
y-y1 = m (x-x1) please!
The formula has been given already, just substitute the values.
m is the slope = 3
y1 = -2
x1 = 6
y - (-2) = m (x - (6))
y + 2 = 3(x - 6)
Find the measure of x in each figure. (Look at photo)
Answer:
x = 20
Step-by-step explanation:
these angles are supplementary, which means they add up to 180°
using this, you can make the following equation:
6x + 60 = 180
subtract 60 from both sides of the equation
6x + 60 - 60 = 180 - 60
6x = 120
divide both sides of the equation by 6
6x/6 = 120/6
x = 20
Solve
12x + 5 = 4x + 37
Answer: 4 is the correct answer
Step-by-step explanation:
12x+5=4x+37
12x-4x=37-5
8x=32
x=32/8
x=4
Answer:
x = 4
Step-by-step explanation:
First you look at the two values of the equation, so the difference between the difference of the two variables is 32, ( 37 - 5 ) then we know that ( 12x - 4x ) 8x . So we know that 8x equals to 32, so ( 32/8 ) equals to x = 4.
consider the following figure
Answer:
that look like complementry and supplementry angles
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
Two trains are traveling at constant speeds on different tracks.
Answer:
Train B is traveling faster
Step-by-step explanation:
From the picture, we want to know which train is traveling faster
We can know this by knowing the speed of the trains
Mathematically;
speed = distance/time
Train A
12.5 m in 1 second
speed = 12.5/1 = 12.5 m/s
Train B
100 m in 4 seconds
speed = 100/4 = 25 m/s
So train B is traveling faster
This is because it covered a distance of 100 m in 4 seconds as opposed to train A which covered a distance of 12.5 m
in 1 second
What is the solution to this equation?
2x + 3 = x − 4
Answer:
x = −7
Step-by-step explanation:
2x + 3 = x − 4
Subtract 3 from both sides of the equation
2x = x −7
Subtract x from both sides of the equation
x = −7
Answer:
X=7
Step-by-step explanation:
Step 1
Having all the
x
terms on one side of =
Subtract
2 x
from both sides
2 x − 2 x + 3 = 3 x − 2 x − 4
0 + 3 = x − 4
Swap round
x − 4 = 3
Step 2
Have just
x
on the left of =
Add
4
to both sides
x − 4 + 4 = 3 + 4
x = 7
4x3
--x-2
A. No Solution
B. (-1,-1)
C. -2,0)
D. (0,3)
Answer:
B. (-1,-1)
Step-by-step explanation:
Both lines are intersecting at this point.
Answer:
B. (-1,-1)Step-by-step explanation:
[tex]y = 4x + 3 \\ y = - x - 2[/tex]
Arrange and solve
[tex] - 4x + y = 3 \\ x + y = - 2 \\( x,y)=( - 1, - 1)[/tex]
(
What is the slope of the line 4x – 2y = 5?
O-4
O-2
0 2
0 4
Answer:
Slope is 4.
Step-by-step explanation:
To find the slope, you can use ¨y=mx+b¨ where m= slope, and b= y intercept.
Hope this helped!
Answer:
m=2
Step-by-step explanation:
4x−2y=5
Rewrite in slope-intercept form.
y=2x-5/2
Using the slope-intercept form, the slope is 2.
m=2
Hope this helps! :)
what are a couple ways to simplify 3(x-5)-4=17
Simplifying
3(x + -5) + -4 = 17
Reorder the terms:
3(-5 + x) + -4 = 17
(-5 * 3 + x * 3) + -4 = 17
(-15 + 3x) + -4 = 17
Reorder the terms:
-15 + -4 + 3x = 17
Combine like terms: -15 + -4 = -19
-19 + 3x = 17
Solving
-19 + 3x = 17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 3x = 17 + 19
Combine like terms: -19 + 19 = 0
0 + 3x = 17 + 19
3x = 17 + 19
Combine like terms: 17 + 19 = 36
3x = 36
Divide each side by '3'.
x = 12
Simplifying
x = 12
what is the solution for:
x-10= -4x
Answer:
Step-by-step explanation:
Bringing like terms on one side
-10 = - 4x - x
-10 = - 5x
-10/-5 = x
2 = x
How to solve 3(x + 1) − (3x + 2)
Answer:
Step-by-step explanation:
3(x + 1) − (3x + 2)
we will expand the first bracket:
3x+3-3x-2
3x and -3x cancels
3-2=1
Answer:
1
Step-by-step explanation:
3x+3+−3x+−2
=(3x+−3x)+(3+−2)
=1
evaluate x2+x-12÷y2 for x = 5 and y =2
Answer:
3
Step-by-step explanation:
Which set of ordered pairs represents a function?
A. {(5,8), (-8, 2), (-1, -2),(-1, -6)}
B. {(-3,6),(-2,5), (6,2), (-3,7)}
C. {(-2,-2),(-9, -2), (7,-6), (-7, -5)}
D. {(-4,-4),(-8, -1),(4,5), (4,-4)}
Answer:
C
Step-by-step explanation:
each input has exactly one out put... brainliest plssss
PLSSSSS!!!!!! HELP ME!!!! I WIL MARK U!!!!!
Answer:
-44
Step-by-step explanation:
You multiply 11 times 2 to the second power then multiply negative 1
60% of the students in Mr. Vick's class have computers at home. If 21 students in his class have computers at home, how many students are there in his class?
Answer:
There are 35 students in his class.
Step-by-step explanation:
1. Create a proportion: 60/100=21/x
2. Cross multiply, or not (I prefer to cross multiply). 60x=2100
3. Solve the equation: x=35.
Answer: There are 35 students in his class, 14 people going in school, 21 student online.
GIVING BRAINLIEST!!! PRETTY SIMPLE QUESTION!!!
Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?
O The coupon lowered the cost per issue by $0.40.
O The coupon lowered the cost per issue by $1.38.
O The coupon raised the cost per issue by $0.13.
O The coupon raised the cost per issue by $0.67.
Answer:
A
Step-by-step explanation:
Originally, Mei pays $24 for 12 issues.
Therefore, the cost per issue is:
[tex]c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}[/tex]
With the coupon, Mei pays the same amount of $24 but for 15 issues.
So, the cost per issue now is:
[tex]c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}[/tex]
Therefore, the coupon lowered the price of the issue by $0.40.
Our answer is A.
Answer: The coupon lowered the cost per issue by $0.40.
Original price of issue: $2
24 ÷ 12 = 2
Mei added 3 more issues, but she still pays $24.
The answer is A.
Hope this helps you!
Solve the following system by substitution. 7x + 2y = 16 –21x – 6y = 24 What is the solution ?
Answer:
no solution
Step-by-step explanation:
x=(16-2y)/7
-21*(16-2y)/7-6y=24
-3(16-2y)-6y
-48+6y-6y=24
-48=24
you can't solve for the variables
There is no solution for given system of equations.
System of equations :The given equations are,
[tex]7x+2y=16\\\\x=\frac{16-2y}{7}[/tex]
Another equation is, [tex]-21x-6y=24[/tex]
Substitute value of x in above equation.
[tex]-21(\frac{16-2y}{7} )-6y=24\\\\-48+6y-6y=24\\\\-48\neq 24[/tex]
Thus, there is no solution for given system of equations.
Learn more about the system of equations here:
https://brainly.com/question/13729904
identify the zeros of f(x) = (x + 9)(x − 4)(6x + 1).
Answer:
x = - 9, x = - [tex]\frac{1}{6}[/tex], x = 4
Step-by-step explanation:
To obtain the zeros, equate f(x) to zero, that is
(x + 9)(x - 4)(6x + 1) = 0
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
6x + 1 = 0 ⇒ 6x = - 1 ⇒ x = - [tex]\frac{1}{6}[/tex]
2(5n+1???????????????!!!!!!
Answer:
10n+2
Step-by-step explanation:
Distributive property, 2(5n)+2(1)=10n+2
Answer:
The answer is 10n+2
Renee hiked for 6
miles. After resting. Renee hiked back along the same route for 5
miles. How many more miles does Renee need to hike to return to the place where she
started? Represent your answer as a simplified mixed number, if necessary.
Renee still needs to hike
miles
Answer:
1 mile
Step-by-step explanation:
Renee hikd 6 miles, then went back 5. 6-5=1
Solve the equation for s.
13s + 5 = 14s + 13
Answer:
s = − 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
I need help please the faster the better.
Answer:
(5,-8)
Step-by-step explanation:
You would go to the right then down 8
Answer: plot a point at (0, -8) (1, -5) (2, -2) (-1,-12) and draw a straight line connecting them
Step-by-step explanation: plug in points to the equation and solve
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)
Answer:
3(3+7)
Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21
b) Find the value of
4(a – 3b) when a = -8 and b = 1/3
Answer:
-36
Step-by-step explanation:
4(-8-3*(1/3)) = 4(-8-1) = -36
Which set of rational numbers is correctly ordered from least to greatest?
-0.5 -0.4 -0.3
Answer:-0.3 -0.4 -0.5
Step-by-step explanation:mark me as brainliest
Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.
Multiply. Enter the product in simplest form.
3/4 x 2
Answer:
3/2 = 1 1/2
Step-by-step explanation:
3/4 * 2
Make 2 a fraction
3/4 * 2/1
Rewrite
3/1 * 2/4
3/1 * 1/2
Multiply
(3*1)/(2*1/)
3/2
Changing from a fraction to a mixed number
1 1/2
Chen completed the division problem below. 0.9 StartLongDivisionSymbol 192.6 EndLongDivisionSymbol right arrow 9 StartLongDivisionSymbol 192.6 EndLongDivisionSymbol minus 18 = 12. 12 minus 9 = 36. 36 minus 36 = a remainder of 0 and a quotient of 21.4. What is Chen’s error? He included a 4 in the quotient, which does not belong. He multiplied the dividend by 100 instead of 10. He should have multiplied both numbers by 100. He did not subtract correctly in one of the steps.
i will give the crown to the correct answer please and thank you :)
Answer:
the answer is
He did not subtract correctly in one of the steps. D
step by step explination: just took the test.
put me as branliest
Answer:
He multiplied the dividend by 100 instead of 10.
Step-by-step explanation:
Have a great day!
(Edgeunity quiz)
The unit rate/price is the rate/price per 1 item is this true or false
In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ = 5x + 10 , QT = 20 and QS = 3x+ y and QV = 30 . Find x and y