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. *

Answers

Answer 1

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

Since we have a triangle, the addition of the measure of all the measure of the angles give 180

Thus;

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

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

To get the measure of each of the angles, we substitute for x

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71


Related Questions

this is the formula which I am asking you all​

Answers

Answer:

That is literally still the same formula for mean.

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equation (-1, -5) and (3, 2)

Answers

Answer:

The equation in point-slope form of the line is:

[tex]y-\left(-5\right)=\frac{7}{4}\left(x-\left(-1\right)\right)[/tex]

Step-by-step explanation:

Given the points

(-1, -5) (3, 2)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(3,\:2\right)[/tex]

[tex]m=\frac{2-\left(-5\right)}{3-\left(-1\right)}[/tex]

[tex]m=\frac{7}{4}[/tex]

As the point-slope form is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope.

substituting the values m=7/4 and the first point (-1, -5)

[tex]y-\left(-5\right)=\frac{7}{4}\left(x-\left(-1\right)\right)[/tex]

Therefore, the equation in point-slope form of the line is:

[tex]y-\left(-5\right)=\frac{7}{4}\left(x-\left(-1\right)\right)[/tex]

Help will mark Brainliest for the answer

Answers

Answer:

3rd step

Step-by-step explanation:

2*3+3 is not equal to 2*6 because of bidmas we do multiplication first

PLEASE HELP ME WITH THIS PROBLEM, SYSTEM OF LINEAR EQUATIONS, 30 POINTS!!!!

Answers

Answer:

You can either use substation or you can use elimination on both of the problems

Step-by-step explanation:

NEED A GENIUS PLEASE [MATH]

Answers

answer

The answer is Letter C

5.6 : 2.4. quick what is this in simplest form

Answers

Answer:

5/48

Step-by-step explanation:

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Answers

Answer:

Let

y--------> cost of the dinner with friends

h--------> the number of hours Lindsay worked last week

we know that

y =\frac{1}{15} *( 10h+60)y=

15

1

∗(10h+60) ------> equation 11

y =\frac{1}{10} *( 10h)y=

10

1

∗(10h) ------> equation 22

equate equation 11 and equation 22

\begin{gathered} \frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)\\\\ Multiply\ by\ 150\ both\ sides\\\\ 10*(10h+60)=15*10h\\\\ 100h+600=150h\\\\150h-100h=600\\\\ h=\frac{600}{50} \end{gathered}

15

1

∗(10h+60)=

10

1

∗(10h)

Multiply by 150 both sides

10∗(10h+60)=15∗10h

100h+600=150h

150h−100h=600

h=

50

600

h= 12\ hoursh=12 hours

therefore

the answer is

Lindsay worked 12\ hours12 hours last week

The equation that can be used to find the number of hours is

\frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)

15

1

∗(10h+60)=

10

1

∗(10h)

Lindsay worked for about 120 hours last week.

What is an equation?

An equation is used to show the relationship between two or more variables and numbers.

Let h represent the number of hours Lindsay worked last week, hence:

(1/15)(10h + 600) = (1/10)(10h)

40h + 2400 = 60h

h = 120 hours

Lindsay worked for about 120 hours last week.

Find out more on Equation at: https://brainly.com/question/2972832

The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.

Answers

answer:

a) the sum of the areas of square n and square l is equal to the area of square k.

step-by-step explanation:

https://quiz izz.com/admin/quiz/5ecffa4789713d001cea9223/2019-8th-grade-staar

good luck :)

i hope this helps

have a nice day!

The sum of the areas of Square N and Square L is equal to the area of Square K and this can be determined by using the Pythagorean theorem.

Given :

The diagram shows three squares that are joined at vertices to form a right triangle.

The following steps can be used in order to determine which statement is true:

Step 1 - The Pythagorean theorem can be used in order to determine which statement is true.

Step 2 - According to the Pythagorean theorem, the sum of the square of the shorter sides is equal to the square of the longer side.

Step 3 - So, from the above steps, it can be concluded that the sum of the areas of Square N and Square L is equal to the area of Square K.

Therefore, the correct statement is given by option A).

For more information, refer to the link given below:

https://brainly.com/question/25277954

Simplify using the distributive property: -(-20x-17y)

Answers

Answer:

20x + 17y

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Step-by-step explanation:

Step 1: Define

-(-20x - 17y)

Step 2: Simplify

Distribute:                    -(-20x) - (-17y)Simplify:                       20x + 17y

Please help me solve this!!

Answers

Answer:

[tex]x=\sqrt{-2},or,x=\sqrt{2}i[/tex]

Step-by-step explanation:

[tex]-3x^2+11=17\\-3^2+11-(11)=17-(11)\\-3x^2=6\\x^2=-2\\x=\sqrt{-2}[/tex] I don't know what level math you're taking but in lower level math this would be undefined, can't be simplified. But some higher levels simplify it with imaginary or complex number representations. So take your pick, but it's still undefined[tex]x=\sqrt{2}i[/tex]

help

solve 5k = 100 k = ______

Answers

Answer:

k = 20

Step-by-step explanation:

5k = 100

5       5

k = 100 ÷ 5

k = 20

Answer:

20

Step-by-step explanation:

Helpppppppppppppppppp

Answers

Answer:

first step would be adding 10 to both sides

Step-by-step explanation:

Answer:

add 10 first

Step-by-step explanation:

yepppppppp

Help me please I have to have this done in 5 minutes

Answers

Answer:

F (-1,5)

Step-by-step explanation:

Since the problem gives you the graph, all you have to do is see which point falls in the shaded part. F is the answer since J is on the line. If the equality was less than or equal, then it would be F and J.

Answer:

1,5

Step-by-step explanation: there may be a negitive number

help me im really bad at this stuff

Answers

Answer:

We conclude that the estimated volume of a cylinder is 288 in.³

Step-by-step explanation:

Given

r = 3.75 inchesh = 6.21 inches

The formula to determine the volume of a cyliner is:

[tex]V=\pi r^2h[/tex]

substituting the values r = 3.75 inches, h = 6.21 inches, and π = 3.14 in the formula to calculate the volume of a cylinder.

[tex]V=\pi r^2h[/tex]

[tex]V=\left(3.14\right)\left(3.75\right)^2\times 6.21[/tex]

[tex]V=274[/tex] in.³

Therefore, from the given options, we conclude that the estimated volume of a cylinder is 288 in.³

Which image shows the correct position of M (-4,3)?
A graph A
B. graph B
C. graph C
D. graph D

Answers

The answer is A graph A. (x, y) (-4, 3)

Answer: The Answer is graph A

Its right I got it on my test before! I hope this helps!

-Jayden

what rational number equals 0.1111111111

Answers

Answer:

1/9

Step-by-step explanation:

1/9 is a fraction, so it is rational.

Answer:

1111111111/1000000000

Step-by-step explanation:

The expression (2a)³ is the same as?
a.6a
b.8a
c.6a³
d.8a³​
please help!!

Answers

answer-a
explanation-because it is

Is this a function??

Answers

Yes this is a function because the definition of a function is if the x doesn’t repeat and we can test this with the vertical line test that states that if you put an imaginary line where the points are the x shouldn’t repeat in this case this is true as the x doesn’t repeat

Your welcome

help plz help ......​

Answers

Answer:2.

Step-by-step explanation:

Two bottles of juice went into each jar

Answer:

10

Step-by-step explanation:

divide 30 by six to get how much glasses you can fill with 1 bottle then divide 50 by the answer as my friend daffy duck said, math is a mystery

Please answer 9th grade math

Answers

Not a function pretty sure

Answer:

yes this is function ,because function it can go to minus and plus

Step-by-step explanation:

Convert 6.5 quarts to cups

Answers

Answer:

26

Step-by-step explanation:

Correo electrónico Andrew tarda 720 segundos en ducharse. Pasa otros 420 segundos ¿Cuántos minutos se tarda Andrew en ducharse y desyunar? minutos. Hoja de referencia. ¿Atorado? Usa una pista.​

Answers

Answer:Andrew tarda 19 minutos en ducharse y desayunar

Explicación paso a paso:

720 seg de ducharse + 420 segundos de su desayuno dan igual a 1140 segudnos

a este numero de segundos hay que pasarlo a minutos. El resultado es 19 minutos que son 1140 segundos

Step-by-step explanation:

Determine the value of 3'+ 3²+3³.​

Answers

Step-by-step explanation:

1/3 + 3²+3³

=1/3+9+27

=(9+3+1)/27

=13/27

Answer: 39

Step-by-step explanation: To find the answer or result of 3 + 3 to the second power + 3 to the third power, you’ll have to find the whole number value of the two integer numbers being 3 to the second power and 3 to the third power. To do this, multiply (3 x 3) and (3 x 3 x 3). You should get 9 and 27. Lastly, you‘ll have to add 3 + 9 + 27, to give you the final answer or result of 39.

is (-1,1) a solution for the system

y=2x=3

y=-x

Answers

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values of the point into the x and y values of the equation.

[tex]1=2(-1)+3\\1=-2+3\\1=1\\:)\\\\1=-(-1)\\1=1\\:)[/tex]

Hope this helped!

Explain the power of products property and give an example.​

Answers

Answer:

This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

Step-by-step explanation:

The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. (ft, ft^2, or ft^3)​

Answers

Answer: 2521.91 ft^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the cylinder volume formula, V = (pi)r^2h

Since the radius and the height have already been given, no further calculations are necessary.

V= (pi)(6.5)^2(19)

V=(3.14)(42.25)(19)

2520.635 ft^3

i need help due in 30

Answers

Answer:

2

Step-by-step explanation:

I tried all on calculator, this one works!

This is the final outcome on both sides btw:

12=12

soo yea plz mark as brainliest if u can! always glad to help!

if u need an actually explanation just say it in the comments! glad to help there!

ps. Plz click on my profile and try to answer questions there!

:)))

PLEASE HELP ASAPPPPPPPPPPP WILL MARK BRAINLIEST!!


The income in dollars for a school talent show can be expressed by 100p - 5p2, where p is the ticket price. What ticket price(s) will result in an income of $0?

Answers

Answer: x = 0, 20

Step-by-step explanation:

The equation would be 100p-5p^2=0

Then factor 100 and -5 by 5

EXTRA POINTS
The pyramid below has a rectangular base and E
is directly above A.
Find the volume of the pyramid.

Answers

Answer: 120 cm cubed

Step-by-step explanation:

vol = 1/3 x base area x ht

9x4 = 36 = base area

1/3 x 36 = 12

12x10 = 120

PLEASE HELP WILL MARK AND 5 STARS I BEG OF U

Answers

Answer:

X=120

X=54

Step-by-step explanation:

(this is for the top one and the one below the top one)

(I think they are right)

Answer:

triangle 1. x = 120

triangle 2. x = 54

triangle 3. x = 64

Step-by-step explanation:

I did the math and gave a detailed explanation, but someone deleted it. :(

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