Suppose BD bisects ABC. If m ABD = 12x+24 and m DBC = 20x +16 what is m ABC?

Answers

Answer 1

Answer:

The measure of ABC is 72

Step-by-step explanation:

if the angle ABC is bisected, it means that the two angles ABD and DBC are equal;

Thus;

12x + 24 = 20x + 16

20x -12x = 24-16

8x = 8

x = 1

The measure of angle ABC is the sum of the two angles

ABC = 12x + 24 + 20x + 16

ABC = 32x + 40

Substitute x = 1

ABC = 32(1) + 40

ABC = 72 degrees


Related Questions

i need help with this please!!

Answers

dock = 90°

boat = 40°

Thus the other angle equal 50°

I call that angle JJ

So ; JJ = 50°

_________________________________

According to the case of the Sine :

[tex] \frac{rope}{ \sin(50) } = \frac{25.17}{ \sin(40) } \\ [/tex]

[tex] \frac{rope}{ \cos(40) } = \frac{25.17}{0.643} \\ [/tex]

[tex] \frac{rope}{0.766} = \frac{25.17}{0.643} \\ [/tex]

[tex]rope = 0.766 \times \frac{25.17}{0.643} [/tex]

[tex]rope = 0.766 \times 39.14[/tex]

[tex]rope = 30.37[/tex]

[tex]rope = 30[/tex]

And we're done...

♥️♥️♥️♥️♥️

Find |x| when x = – 15.
HELP ME PLEASEE

Answers

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

12 - C = –16
solve for C =

Answers

Answer:

28

Step-by-step explanation:

12 - c - 12 = -16 - 12

-C = -28

-C divided by -1 = -28 divided by -1

c = 28

What is the answer to this????

Answers

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

Simon and his niece marcie are comparing their ages to see if there is a mathematical connection. They find that Simon is three years more than four times marcie' age. The sum of their ages is 58. Let m be marcie's age. Could marcie be seven years old? Write an expression for Simon's age in terms of the variable m. Write and equation that models the information given Now solve for m? What is marcie's age? What is Simon's age?

Answers

Answer:

The expression for Simon's age in terms of the variable m would indicate that Simon's age is equal to four times Marcie's age plus 3:

s=4m+3 (1)

Also, you know that the sum of their ages is 58, which is:

s+m=58 (2)

You can replace (1) in (2) and solve for m to find Marcie's age:

4m+3+m=58

5m=58-3

5m=55

m=55/5

m=11

Finally, you can replace m in (1) to find Simon's age:

s=4(11)+3

s=44+3

s=47

According to this, Marcie is 11 years old and Simon is 47 years old.

HELP NEEDED ASAP!!! PLEEEEASE HELP!!!

Answers

Answer:

24

Step-by-step explanation:

what is the smallest number which is a multiple of both 8 and 12? so, an multiple of 8 must have 2 as a factor at least 3 times. Similarly, multiples of 12 have at least two 2's and one 3. so we need 2x2x2x3 or 24 if every factor is to be included.

I'm not the best at explaining but you can search google to get the better Idea.

(btw this is for the fist question)

Solve for x.

−1/3 x≤−6

Answers

Answer:

x  ≤  12

Step-by-step explanation:

How mant cups of yellow paint shod u mix with 1 cup of blue paint to make the same shade of green

Answers

If you want light green, two cups of yellow and one blue, if you want dark green, two cups of blue and one yellow

Previous
1
Mr. Smith recorded how many students were wearing white shirts and how many were wearing non-white shirts. He put
the data into a two-way frequency table.
White Shirts
Non-White Shirts
Total
4
8
12
Boys
Girls
Total
16
5
q
il
19
28
What is the probability that a randomly selected student will wear a non-white shirt?
16
19
28


8
28
12
28

Answers

Answer: can you explain what you mean because its just numbers

5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS

Answers

Answer:

-8x + 12

Step-by-step explanation:

It is asking us to simplify.  Therefore, we multiply the terms. -4(2x - 3) =

- 8x + 12

Answer:

-8× + 12

Step-by-step explanation:

-4x (2x - 3) simplify

Apply the distributive property

-4 (2x) - 4 × -3

multiply 2 by -4

-8x -4 × -3

multiply -4 by -3

= -8x + 12

Help me solve this, cause I stuck

Answers

1 x10^5 your answer

Please help fast I will give branliest to the correct answer ‼️

Answers

Answer:

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points

Step-by-step explanation:

Please, srry for sp

Answer:

The answer is c

4 multiples : 4 8 12 16 20 24 28 32 36 40 44 48

6 multiples: 6 12 18 24 30 36 42 48

what they dont have in comman 4,8,16,20,28, 32,40,44,

Need help pleaseeeeeeee

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

Transversal/Parallel/Perpendicular

Step-by-step explanation:

What types of lines intersect and are coplanar?

Coplanar Lines

Three types of lines that are coplanar are parallel lines, perpendicular lines, and transversals. These all exist in a single plane, unlike skew lines (which exist in multiple planes). Any two lines in a plane must necessarily either be parallel or intersect.

Can you please help me with the question

Answers

180 feet

4.5 x 40 = 180

Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet.
Part A: What is the greatest number of bouquets she can make?
(Include the numerical answer only.)

Answers

Answer:

8

Step-by-step explanation:

make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.

What is the value of y?

Answers

Answer:

54

Step-by-step explanation:

180-72=108

108/2=54

you are renting an apartment. the living room is 412 square feet. the kitchen is 337 square feet. the bedroom is 265 square feet. how much square feet are in these three rooms

Answers

Answer: 1,014

Step-by-step explanation: 412+265=677     677+337=1,014

The perimeter of a parallelogram is 48 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram.

Answers

Answer; length = 14 width = 10

Step-by-step explanation:

I need help asap no rocky

Answers

-2x5 is -10 and 6x5 is 30 so wouldn’t the scale factor be 5?

In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9


Answers

Given:

The population of continent of South America in 2010 is 395, 280, 204.

To find:

The closest estimate of this number.

Solution:

We have,

[tex]Population = 395, 280, 204[/tex]

The approximate value of this number is

[tex]Population \approx 400, 000, 000[/tex]

The scientific form of this value is

[tex]Population = 4\times 10^8[/tex]

Therefore, the correct option is C.

HURRYYYYY!!! PLEASE!
You are making headbands to sell at a market. You need to order 36 bundles of elastic. Hair It Is sells elastic for $7.90 per bundle. If you buy a pack of 20 bundles, the cost comes down to $7.20 per bundle. Hair To Go sells the same elastic at $87.00 for a dozen bundles. What percent can you save by going with the lower price?

O 5.6%

O 4.83%

O 4.5%

O 3.6%

O 3.48%​

Answers

Answer:

.348

Step-by-step explanation:

The above is


Not a function (right answer)

Answers

Answer:

mnbvcxcvhjkl

Step-by-step explanation:

Can i get some help im really confused and im in the test

Answers

Answer:

b y= 3x+6 is the ans but not sure

Help pleaseeeeeeeeee!!

Answers

Answer:

point m,

Step-by-step explanation:

if you reflect across the x axis then its the same point but in the negatives for y.

sry if its wrong I havent done these in a while

Answer:

M is the answer

Step-by-step explanation:

If you count the space between c and the x axis its 5 spaces so just do that on the other side and double check to make sure too.

10.7+(-3.5) help plz

Answers

Answer:

7.2

Step-by-step explanation:

Hi there !

10.7 + (-3.5) =

= 10.7 - 3.5

= 7.2

Good luck !

If m<1 = 89°, what is m<5?
A. 1
B. 89
C. 91
D. 179

Answers

Answer:

m∠5 = 91°

Step-by-step explanation:

Do this ASAP and put answers in the "Answer" Tab. Any Absurd answers shall be reported and deleted. Remember when your answer gets deleted you loose the points you received. [tex]\boxed{ Perimeter\; and\; Area\; on \;the \;Coordinate \;Plane}[/tex]

Answers

[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]

Note.......I took care of part 1 only......cos handling both questions on here will be much on me

or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.

♨Rage♨

Which is the graph of the function f(x) = √ 1/4x
HELP FAST!

Answers

This is the graph of of f(x). You can easily use desmos to draw graphs

12 - C = –16
solve for C

Answers

Answer:

28

Step-by-step explanation:

1) subtract 12 from both sides

2) divide by negative 1

Answer:

28

Step-by-step explanation:

simplify both sides

subtract 12 for both sides

divided both sides by -1

When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the formula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)

Answers

Answer:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

Given

[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]

Required

Determine x2, y2

Start by splitting the expression

[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]

Multiply through by 2

[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]

[tex]2x_m = x_1 + x_2[/tex]

Make x2 the subject;

[tex]x_2 = 2x_m - x_1[/tex]

Similarly:

[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]

[tex]2y_m = y_1 + y_2[/tex]

Make y2 the subject;

[tex]y_2 = 2y_m - y_1[/tex]

Hence:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

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