If CE bisects ZBCD and if m ZBCE = 3x - 6
and mZECD = 2x + 11, find mZBCD. Is
ZBCD acute, right, or obtuse?

Answers

Answer 1

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


Related Questions

Find the measure of x in each figure. (Look at photo)​

Answers

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

b) Find the value of
4(a – 3b) when a = -8 and b = 1/3

Answers

Answer:

-36

Step-by-step explanation:

4(-8-3*(1/3)) = 4(-8-1) = -36

evaluate x2+x-12÷y2 for x = 5 and y =2​

Answers

Answer:

3

Step-by-step explanation:

The unit rate/price is the rate/price per 1 item is this true or false

Answers

True unit is 1 item therefore it is the same

Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.

Answers

6x-6=60
Add 6 to both sides
6x=60
Divide 6 into 60
X=10

I need help please the faster the better.

Answers

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

identify the zeros of f(x) = (x + 9)(x − 4)(6x + 1).

Answers

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]

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

Answers

Ccchchlxtxtoxyocotsifuguf

Solve the equation for s.
13s + 5 = 14s + 13

Answers

Answer:

s =  − 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Which set of rational numbers is correctly ordered from least to greatest?
-0.5 -0.4 -0.3

Answers

Answer:-0.3 -0.4 -0.5

Step-by-step explanation:mark me as brainliest

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?

Answers

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.

Two trains are traveling at constant speeds on different tracks.

Answers

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

Answers

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

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.

Answers

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!

what are a couple ways to simplify 3(x-5)-4=17

Answers

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

Answers

Answer:

Step-by-step explanation:

Bringing like terms on one side

-10 = - 4x - x

-10 = - 5x

-10/-5 = x

2 = x

consider the following figure

Answers

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.

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!

Answers

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)

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 :)

Answers

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)

2(5n+1???????????????!!!!!!

Answers

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

Answers

Answer:

1 mile

Step-by-step explanation:

Renee hikd 6 miles, then went back 5. 6-5=1

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)}

Answers

Answer:

C

Step-by-step explanation:

each input has exactly one out put... brainliest plssss

C


dbdjektieidnsoefjeiwisjeks

What is the slope of the line 4x – 2y = 5?
O-4
O-2
0 2
0 4

Answers

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! :)

Solve

12x + 5 = 4x + 37

Answers

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.

How to solve 3(x + 1) − (3x + 2)

Answers

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

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)

Answers

I don’t know all that but I do know this information: 9+21 is 30. GCF of 9 and 21 is 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

PLSSSSS!!!!!! HELP ME!!!! I WIL MARK U!!!!!

Answers

Answer:

-44

Step-by-step explanation:

You multiply 11 times 2 to the second power then multiply negative 1

-44
That is bro it’s easy

Multiply. Enter the product in simplest form.
3/4 x 2

Answers

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

Solve the following system by substitution. 7x + 2y = 16 –21x – 6y = 24 What is the solution ?

Answers

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

4x3
--x-2
A. No Solution
B. (-1,-1)
C. -2,0)
D. (0,3)

Answers

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]

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