BD bisects m m Find m

Answers

Answer 1

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]


Related Questions

Find the zero of the function.
f(x) = 4x2 – 12x + 9

The zero of the function is x=

Answers

Answer:

x= 3/2

Step-by-step explanation:

I apologize if it is wrong!

Find the measures of the exterior angles of the polygon.

Answers

Step-by-step explanation:

180 - 34 = 146

one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124

divide that by two to get the measures of the remaining two angles (62 degrees)

180 - 62 = x

118 = x

:

/ = .

-- :

, . , - , ,

Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?

Answers

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

What are the angle names given in the picture?

Plzzzz anyone answer I post question but no one answers them but plz anyone answer this time it’s a project and it’s due date is today plz helppp

Answers

Answer:

tbh there are quite a lot of possibilities

I'll just name the properties but not show which angle applies to it cos that's too time consuming

Step-by-step explanation:

vertically opposite angles

interior / exterior alternate angles

corresponding angles

angles on a straight line are supplementary

A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.

Answers

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

Please answer!!! Will mark brainiest!!

Answers

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

How does anyone know how to prove parallel lines, especially when there are two pairs of them?

Answers

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3

Answers

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *

Answers

Answer:

(7, - 1)

Step-by-step explanation:

[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]

Answer:

(7, - 1)

Step-by-step explanation:

Find the area of the circle.

Answers

Answer:

Pie*radius*2 you did not give me the radius

Step-by-step explanation:

1. What is the probability of an odd outcome?

2. What is the probability of an outcome less than 6?

Answers

Answer:

1. 50%

2.[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.

2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.

P = N / NP

Dice has 6 faces. I.E. 1,2,3,4,5,6

= 6

NP, therefore, is the total number of possible outcome.

Faces less than 6. (1,2,4, and 5)

N = 5

P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.

Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?

Answers

an hour is 60 minutes so we would do 60x11 which equals 660 then divide by 3 which is 220 so 220 minutes is your answer

simplify!!
6x - 2+7x

Answers

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

------------------------

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

Factor completely: 125 x cubed space plus space 343

Answers

Answer:

(5x+7)(25x^2-35x+49)

Step-by-step explanation:

Not really an explanation for factoring, but I'm sure it's right.

The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B

Answers

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE

Answers

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes

Answers

Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

What is a algebra ?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

Learn more about Algebra here:

https://brainly.com/question/953809

#SPJ2

An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.


Which statement is true?

If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.

Answers

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.

I hope this helps. Brainliest would be nice to.

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.

Answers

Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)

Answers

Answer:

A

Step-by-step explanation:

6x + 21y = 103
-6x + 23y = 51

Answers

Hope that helps you :))

Giving brainiest explain answer

Answers

Answer:

B.) Carrier B

Step-by-step explanation:

The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.

Might be a bit confusing, but hope it helps.

CAN YOU HELP ME thank you 10pts

Answers

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

WHO LIKES LARRAY
Cause I do

Answers

I do let’s start off with Bryce hall yeah he got some smelly-
Balls I only know his name cuz Addison gave him fame

Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?

Answers

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Mr. Gomez needs to rent a moving truck. Company "A" charges $75 plus a $50 a day and Company "B" charges $105 plus $35 a day. Write an equation that can tell after how many days would the price be the same.

Answers

Answer: 75+50x= 105+35x , required equation.

Step-by-step explanation:

Let x = Number of days

Given:  Company "A" charges $75 plus a $50 a day.

Total charge = 75+50x

Company "B" charges $105 plus $35 a day.

Total charge = 105+35x

When both are same , equation becomes

75+50x= 105+35x

So, Required equation: 75+50x= 105+35x

Please help me, but the answer choices are
A) 4/3 (11) pi
B) V=2/3 (11) pi
C) V=4/3 (11)
D) V=2/3 (11)

Answers

Answer:

B

Step-by-step explanation:

answer is B

and what is ypur grades

Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100

Answers

Answer:

B and D

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

Answer:

A & E

Step-by-step explanation:

First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.

I need help on this question

Answers

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

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