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

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

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

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

. 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]

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.

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

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~~~

» 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

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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

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.

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

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

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

Answers

Answer:

5(3×+1)

Step-by-step explanation:

Hope this helps!

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

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!

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...

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

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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!

Solve the problem. Show your work

Answers

Answer:

D correct

Step-by-step explanation:

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

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

Answers

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

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[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]

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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

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

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

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.

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.

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

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

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:

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