In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.

In ACD, If ACAD, MA = 3x 4, MC = 5x + 1, And MD = 7x 27, Find X And The Measure Of Each Angle.

Answers

Answer 1

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°


Related Questions

» Which expression shows 35 + 15 written as a product of two factors?

Answers

Answer:

[tex]35 + 15 = 5 * 10[/tex]

The factors are 5 and 10

Step-by-step explanation:

Given

[tex]35 + 15[/tex]

Required

Express as a product of two factors

[tex]35 + 15[/tex]

Start by factorizing the expression:

[tex]5(7 + 3)[/tex]

Add the expression in the bracket

[tex]5(10)[/tex]

Replace bracket with *

[tex]5 * 10[/tex]

Hence:

[tex]35 + 15 = 5 * 10[/tex]

The expression which shows 35 + 15 written as a product of two factors is 5(7 + 3).

What is meant by expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Let the expression be 35 + 15

Express as a product of two factors

35 + 15

Factorizing the expression we get

5(7 + 3)

simplifying the above expression, we get

5 (10)

Hence:

35 + 15 = 5 × 10

Therefore, the correct answer is option b) 5(7 + 3).

The complete question is:

Which expression shows 35 + 15 written as a product of two factors?

a) 5(6 + 3)

b) 5(7 + 3)

c) 7(5 + 2)

d) 7(5 + 3)

To learn more about expression refer to:

https://brainly.com/question/1859113

#SPJ2

If the point (2,3) lies on the line 4y = ax +5 , then a -
(a) 7/2
(b) 1
(o) -2
(d) none of these​

Answers

Answer:

B

Step-by-step explanation:

5. Which line appears to have an x-intercept of -5 and a y-intercept of 3?

Answers

Answer:

I need a picture but if you count 3 up and and left 5 whichever line hits both of those points is the answer

Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *

Answers

Answer: The answer should be 1.5.

Step-by-step explanation:

$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5

Answer:

$.5

Step-by-step explanation:

hope this helps y'all

Solve the problem. Show your work

Answers

Answer:

D correct

Step-by-step explanation:

I don’t understand help me plz hard

Answers

Answer:

-2 1/2 is the correct answer

I hope this helps! If it is correct please mark brainliest answer, thank you!

Stay safe, God bless and happy studying!

I need help plz someone help me

Answers

Answer:

broooooooooooo how do you not know that not trying to be rude but anyways the answer is number 3

. A person weighing 120 pounds has about 20 pints of blood in their body. Which equation below represents the relationship between pints of blood, b, to a person's weight, w?

Answers

Answer:

[tex]w = 6b[/tex]

Step-by-step explanation:

Given

[tex]b = blood[/tex]

[tex]w = weight[/tex]

[tex]b = 20; when\ w = 120[/tex]

Required

Determine the equation that binds both parameters

First, we need to determine the constant of proportionality using:

[tex]w = k * b[/tex]

Where k represents the constant.

Substitute 120 for w and 20 for b

[tex]120 = k * 20[/tex]

Divide both sides by 20

[tex]6 = k[/tex]

[tex]k = 6[/tex]

Using the same formula, substitute 6 for k

[tex]w = 6 * b[/tex]

[tex]w = 6b[/tex]

Hence:

The equation is represented as [tex]w = 6b[/tex]

Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.

Answers

Answer:

0.75

Step-by-step explanation:

y²-y¹/x²-x¹

8-5/1-(-3)

3/4

=0.75

-5x - 5y = 10 ???
6x + 3y = -30 ????
4x + y = -2 ??
x + y = 1 ???
what is X and Y !!

Answers

Well you can’t if you can’t figure out what x and y is then it’s an equivalent expression so x and y are 1

what is the slope of (12,22) (-20,19)

Answers

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

5.
As shown in the diagram below, lines m and n are
cut by transversal p.
р
m
n
7
2
If mZ1 = 4x + 14 and mZ2 = 8x + 10, lines m
and n are parallel when x equals
A. 1
B. 6
C. 13
D. 17

Answers

The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we can see in the figure, the lines m and n are cut by transversal p.

Then the sum of angles mZ1 and mZ2 is equal to 180 degree.

4x + 14 +8x + 10 = 180

12x + 24 = 180

12x = 156

x = 13

Thus, the value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec

Answers

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

What is the percent gain ???

Answers

What they said :) ^^

Answer:

70%

Step-by-step explanation:

The answer also is whatever the bears tell you because they are always rite.

4 x 7/8 Pls I need help my mom is yelling at me

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

7/2 or 3 1/2

Step-by-step explanation:

4 * 7/8 = 4/1 * 7/8 = 28/8 = 7/2 = 3 1/2

Can someone help me with this math problem

Answers

Answer:

$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound

Step-by-step explanation:

Answer:

Brand A is $14

Brand B is $12.5

Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.

Step-by-step explanation:

For brand A you need to first divide 70 by 5 which equals to 14

Then you divide 105 by 12 which equals 12.5

The Last problem i gave to you in the answer box.

Hopefully you understood everything.

Have a good day

IT'S TIMED PLEASE HELP ASAP! Find the measure of angle B

Answers

Answer:

5(3×+1)

Step-by-step explanation:

Hope this helps!

It costs $20 for 4 t shirts. Find the cost of 1 t shirt.

Answers

20/4 = 5

$5 is the cost of 1 shirt.

PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15

Answers

Answer:

x=0

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

3(2x−5)=−15

Step 1: Simplify both sides of the equation.

3(2x−5)=−15

(3)(2x)+(3)(−5)=−15(Distribute)

6x+−15=−15

6x−15=−15

Step 2: Add 15 to both sides.

6x−15+15=−15+15

6x=0

Step 3: Divide both sides by 6.

6x/6 = 0/6

x=0

Hope this helps :)

Answer:

2x-5= -3x times(x) 3 is -9

Step-by-step explanation:

PEMDAS

Aiman has 6 pizzas to share at a party. If each person will eat 3/8 of a pizza, how many people can share the pizzas?
A 48 people
B 16 people
C 2 people
D 6 people

Answers

Answer:

The amswer is B, 16 people.

Brainlest to whoever can tell me what pi stands for

Answers

Hi!

Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.

Hope this Helps!

Yours Truly,

~~~PicklePoppers~~~

The medians of ADEF are DK, EL, and FJ. They meet at a single point M.
(In other words, M is the centroid of ADEF.)
Suppose ML = 9, MJ=8, and DK = 24.
Find the following lengths.
Note that the figure is not drawn to scale.

Answers

Answer:

FJ = 24

DM = 16

EM = 18

Step-by-step explanation:

I remember that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side. Therefore the median is split into two parts where one side is always twice as long as the other. So given that segment ML is 8, the other part of the segment (DM) must be 16 as 16 is 2/3 of 24 and 8 is 1/3 of 24 and 1/3 + 2/3 = 1.

Therefore, since MJ is 8, FM must be twice as long so it is 16. Add them up to get FJ, and 8 + 16 is 24.

Finally for EM, since the longer part of the median is twice the length of the smaller part EM must be 18 since 9 × 2 = 18, and 2/3 of 18 is 27, 9 + 18 = 27.

Help me please!! I can’t figure this out...

Answers

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

WILL GIVE BRAINLIEST EASY

drag and drop correct answers

Answers

Answer:

X- int: -3,0 and 1,0

Y- int: -3, 0

Domain: -inf to +inf

Range:+in to -4

Minimum Value : -4, 1

Simplify this expression.
20.25 − 912 + 11

Answers

Answer:

20.25-923

Step-by-step explanation:

20.25-923

912+11=923

20.25-923 person above

HELP !
CLICK ON THE PHOTO FOR THE QUESTION. ALOT OF POINTS GIVEN.

Answers

Answer: Does this help?↓↓↓

Step-by-step explanation:

That for every 5 gallons of water 1.5 pounds of salt is needed to meet...

9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 5x - 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(2a) = 5(2a) - 4[/tex]

[tex]f(2a) = 10a - 4[/tex]

[tex]156 = 10a - 4[/tex]

[tex]10a - 4 = 156[/tex]

Add sides 4

[tex]10a - 4 + 4 = 156 + 4[/tex]

[tex]10a = 160[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]

[tex]a = 16[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3,998-(-7)
Please i need help

Answers

Answer:

4005

Step-by-step explanation:

Can ya help me
PLEASE EXPLAIN

Answers

Answer: D

Step-by-step explanation:

The point in the grid if you divide by 2 will give you the prime points. Also it flips over the y axis.

Just here for reassurance!
I agree the answer is D!

1o Divide
$ 20,000 in the ratio 3:2​

Answers

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

Other Questions
Which could be the first step in solving the equation represented by the model below?A. Add 4 negative unit tiles to both sides.B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.C. Add 4 positive unit tiles to both sides.D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side. hiis it right?..... How did Civil war started ? A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?Pls Answer and I shall give u a- Thank You - Vielen Dank Please help with both and leave a small explanation! I wanna double check my answers! everyone is " " at everyone's door What was one problem Andrew Jackson face when trying to remove American Indians from the south eastern United States? Find the value of g when 59+ 12 equals 29 + 18. Drag the tiles to the boxes to form correct pairs.Match each word to its corresponding definition. You may use a dictionary or any other suitable reference material.Tiles:to denya prohibitionto judgea victim of habitsuffering the death of a loved oneunchangingsomething made of brass or resembling brassto prove innocent; acquitgiving one thing higher priority than anothera person who transgresses the lawPairs:immutablemiscreantbrazenabjure inveterate interdict vindicatebereft discern precedence Fill in the blank with the Spanish word that best completes the sentence.The children like _____ in the pool.terminarcomprarcambiarnadar Can someone help me? This is do by 11:59 PM so no rush. what is Aristocracy,Generotocracy,plutocracy. Can someone help me with doing my constitution project?Basically what I have to do is:"Your task will be to read the Constitution and explain how specific aspects of it relate and apply to real world events. You will demonstrate both that you understand the Constitution and its principles, and that you can explain how the Constitution is relevant to situations in the United States today."Then I will choose three issues from the list below:Freedom of SpeechSeparation of Church and StateGun ownership/rightsIllegal Search and SeizureFreedom of AssemblyNatural Born CitizenAmending the ConstitutionFreedom of PressSupreme Court Justice NominationTrial by JuryVoting RightsEqual ProtectionCitizenshipOverride Presidential VetoConference Committee for a BillPresidential NomineeImpeachment of the PresidentSpeedy Trial"You will show how the Constitution is relevant by completing these tasks for each issue."Identify a real-world example from the United States of a situation that involves a Constitution issueFind two different news articles from different media sources about the example (for example a newspaper article, television, news blog, news magazine)Find a visual/image about the exampleSummarize the main details (who, what, where, and when) of the example in one paragraph using specific details from your articlesDescribe the Constitutional issue and how the Constitution is being violated in the exampleExplain what you think should happen with the example so as not to violate the Constitution. List all sources in a works cited, in MLA format, at the bottom of each scenario (Link for MLA Citing)Your example must have occurred in the last five yearsUpload your completed assignment to the drop box.Some help would be really nice, and if this is that hard, I can help whoever answers with the most detailed and well written answer with a question of their own. Thanks! what is slope intercept form? The Lanham Act applies to through the Commerce Clause. Which amendment provides for the protections described in this list? Question 2 options:First Amendment Fourth AmendmentFifth AmendmentTenth Amendment I need help with whole thing teacher is putting pressure on me and I have a 10 in her class what is this Find the value of |-6| - 3(42 - 1). Consider the title of Remedios Varos work Exploration of the Sources of the Orinoco River. How does the works title add to the Narrative? using the map which inference can be made out of the ancient Egyption civilization?