Find the value of x.

Find The Value Of X.

Answers

Answer 1

Answer:

x= 11°

Step-by-step explanation:

∠BAC= ∠ACD (alt. ∠s, AB//CD)

∠BAC= 33°

∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)

33° +2x= 5x

5x -2x= 33°

3x= 33°

x= 33° ÷3

x= 11°

_____

Alternatively,

∠ACB= 180° -5x (adj. ∠s on a str. line)

∠BCD +∠ABC= 180° (int. ∠s, AB//CD)

∠ACB +∠ACD +2x= 180°

180° -5x +33° +2x= 180°

Minus 180° on both sides:

-5x +2x +33°= 0

5x -2x= 33°

3x= 33°

x= 11°


Related Questions

find the value of x.

Answers

Answer:

25

Step-by-step explanation:

x+7 = 32 (similar triangles)

x = 25

The sum of two consecutive integers is -11. Find the number

Answers

Answer:

-5 and -6

Step-by-step explanation:

Lets do the equation: x+x+1=-11

Add: 2x+1=-11

Subtract: 2x=-12

Divide: x=-6

The smaller integer is -6

The larger integer is -5

How many yards is 24 feet

Answers

Answer:

8 yards

Step-by-step explanation:

1 yard is equal to 3 feet, so we just do 24/3 = 8 yards

Answer:

8

Step-by-step explanation:

1 feet is 3 yards so 24 yards is 8

Consider the triangle below.
M
(15x + 5)º
--
(3x + 2)
(5x - 11)
N
Determine the measure of angle P.
Р
mZP
degrees

Answers

The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

m<M = 15x + 5m<N = 3x + 2m<P = 5x - 11

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

Learn more on angles here: https://brainly.com/question/25770607

Thando would like to beat the record for the 1600m race ,the previous record was a time of 7 minutes 23 seconds .if her race starts at 11:05:17 what time does she need to end the race to beat the record ?​

Answers

Answer: 11:12:40

Step-by-step explanation: If im right pls give brainliest

34/23 as a decimal rounded to the nearest tenth

Answers

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

help I have no clue what I'm doING​

Answers

The question asks you to find the total amount of rain after each hour, and has given you the ratio of 1.5 cm of rain in an hour. Therefore to find the rest, you’ll need to multiply the number of hours by the amount of rain in an hour:
2hrs - 3 cm
3hrs - 4.5 cm
4hrs - 6 cm
5hrs - 7.5 cm

I hope this helps and that I’m right! Good luck!! :)

Answer:

3.0

4.5

6.0

7.5

Step-by-step explanation:

it rains at the rate of 1.5cm per hour

In two hours, the amount will be; 1.5 × 2

= 3cm

in the three hours, the amount will be 1.5×3

=4.5cm

in four hours, the amount will be; 1.5×4

=6cm

in five hours, the amount will be; 1.5×5

=7.5cm

Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost?​

Answers

Answer:

24?

Step-by-step explanation:

sabihin nyo kung mali -_-

how do i get the answer for this problem. 2x+2x+2=4x+2

Answers

Combine like terms

Subtract 2 from both sides of the equation

Simplify

Subtract 4 from both sides of the equation

Simplify

Then your answer should be 0=0

Help help help math math

Answers

Answer:

The slope is 1

Step-by-step explanation:

Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.

Answer:

1

Step-by-step explanation:

Two rectangles are similar. The first has a length of 5cm and a width of 2cm. The second rectangle is an enlargement using a scale factor of 3. What will be the perimeter of the larger rectangle??
Group of answer choices

30 cm

4.666666667 cm

42 cm

21 cm

Answers

Answer:

C.) 42 cm

Step-by-step explanation:

When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3

2*2+5*2=4+10=14

14*3=42

sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have

a- 48
b-36
c- 24
d- 12/48
e-3​

Answers

Answer:

a - 48

Step-by-step explanation:

12 cups are divided into 1/4 cup bags.

Converting 12 into a fraction, you get:

12/1 divided by 1/4.

When we divide fractions, we flip the second fraction and change the operation to multiplication.

12/1 * 4/1.

Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.

12 * 4 = 48.

Define the axis of symmetry, vertex, focus and directrix for

16(y-4)= (x-3)^2

NO LINKS!!

Answers

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredients weigh altogether?

Answers

Answer:

1125.

Step-by-step explanation:

I'm going to work out the answer is grams.

1kg = 1000g

0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.

225 + 225 + 225 + 200 +250 = 1125.

Hope that helps. x

Answer:

1.125kg or 1125g

Step-by-step explanation:

1kg: 1000g

Butter: 0.225kg or 225g

Sugar: 225g or 0.225kg

Flour: 225g or 0.225kg

Eggs: 0.2kg or 200g

Berries: 250g or 0.25kg

In kg: 0.225 + 0.225 + 0.225 + 0.2 + 0.25 = 1.125

In g: 225 + 225 + 225 + 200 + 250 = 1125

i need some help, please

Answers

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Which fractions are equivalent to the fraction below? Check all that apply.
5/7

Answers

Answer:

A. 10/14

and

C. 15/21

Step-by-step explanation:

A. 10/14

and

C. 15/21

PLEASE HELP ME please

Answers

Answer:

C

Step-by-step explanation:

There isnt rly a lot of information from this question but my best guess would be C.  It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.

Sorry if im wrong but i hope this helps have a great day and happy holidays (「•-•)「

A 67-kilogram cannon fires a 1 kilogram cannonball at 45 m/sec. If the cannon is on wheels, at what speed does it move backward?

Answers

Answer:

-1.4 m/sec  [backwards]

Step-by-step explanation:

The energy of the cannon moving should be equal to the energy contained in the cannonball.  Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]

Let x be the speed of the cannon.

Cannonball:  

KE = (1/2)m[tex]v^{2}[/tex]

KE = (1/2)(1kg)(45 m/sec)^2

KE = 22.5   kg*m/sec^2

Cannon:      [The cannon will have the reverse energy]

KE = - (1/2)m[tex]v^{2}[/tex]

22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2

22.5 kg*m/sec^2 = -(33.5 kg)x^2

x^2 = (33.5 kg)/(22.5 kg*m/sec^2)

x^2 = -1.4 m/sec  [backwards]

erica takes the bus to work. the bus ride to work costs her $2.00 each time. She could buy a bus pass for a one-time fee of $15 and would only pay $1.00 each time to ride the bus. how many times would she have to take the bus in order for the cost to be the same?

Answers

Answer:

i think 15 times

Step-by-step explanation:

2×x = 15+(1×x)

2x = 15+x

x = 15

What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w

Answers

Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W

Step-by-step explanation:

Answer:

LCD/ LCM = 100

Step-by-step explanation:

- 12.2 + 2.8W - 8.8 = 1.05W

- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W

- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W

the LCM/ LCD is 100

I need help with this please

Answers

Answer:

hello the answer you are looking for should be s3xy kong 243

Step-by-step explanation:

What is the volume of this rectangular prism?
1
cm
2
4 cm
ola
3
cm
cm3. Because this is hard

Answers

Step-by-step explanation:

Volume=length*width*height

V = (3/2)*(4)*(1/2)

= 12/4 = 3cm^3

For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each unit rate is equivalent or not equivalent to
Equivalent
Not Equivalent
the unit rate, in inches per year, of growing inch in Ğ of a year
the unit rate, in lessons per hour, of finishing of a lesson in hours
the unit rate, in miles per hour, of jogging 1/8 mile in 3/8 hour

Answers

Step-by-step explanation:

1/2 inch in 2/3 of a year

1/2 / 2/3 = 1/2 × 3/2 = 3/4

NOT equivalent.

4/9 lesson in 4/3 of an hour

4/9 / 4/3 = 4/9 × 3/4 = 12/36 = 1/3

Equivalent.

1/8 mile in 3/8 of an hour.

1/8 / 3/8 = 1/8 × 8/3 = 8/24 = 1/3

Equivalent.

What is the probability of randomly selecting a month pf year and not getting a month that ends in y?

Answers

Answer:

2/3

Step-by-step explanation:

The months whose names end in 'y' include Jan, Feb, May, Jul.  The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.

Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3.  Note that this event is the 'complement' of the first event:  

P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3

Zachery sold 85 shares of stock for $65 a share. He paid $43 for it three years ago. How much was his capital gain?

Answers

Answer:

85*65=5525

85*43=3655

5525-3655=1870

Hope This Helps!!!

The capital gain would be 1870

Please help my assignment

Answers

There is no solution since ln(0) is undefined

Nelson and Jamie both want to buy a $250 bicycle.
Nelson has saved $136 and Jamie has saved $142. How much
more money do they each need to save?

Answers

Nelson needs to save $114 and Jamie needs $108.
Question:-

Nelson and Jamie both want to buy a $250 bicycle. Nelson has saved $136 and Jamie has saved $142. How much more money do they each need to save?

Answer:-

Given,

Price of the bicycle = $250

Money saved by Nelson = $136

Money saved by Jamie = $142

Now,

Nelson = $250 - $136 = $114

Jamie = $250 - $142 = $108

Nelson needs to save $114

Jamie needs to save $108

Plz help and explain plz

Answers

Answer:

-3/7x  +6

Step-by-step explanation:

1/7x +9 -4/7x -3

Combine like terms

1/7x  -4/7x      +9-3

-3/7x               +6

-3/7x +6


Because you combine terms smartest pleade

A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:

Answers

Answer:

$290,000

Step-by-step explanation:

Total cost = total variable cost + fixed cost

= 5000×328 + 120000

= 1640000+120000

=1760000 $

The jeans maker earns in total = 5000 × 410

= 2050000 $

So the income is

= 2050000 – 1760000 = 290000 $ ( Answer)

If the number of units is 5,000. Then the income will be $290,000.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.

Let 'x' be the number of units. Then the equation is given as,

Income = Selling cost - Variable cost - Fixed cost

Income = $410 x - $328 x - $120,000

Income = $82 x - $120,000

If the number of units is 5,000. Then the income is calculated as,

Income = $82 (5,000) - $120,000

Income = $410,000 - $120,000

Income = $290,000

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2


x^2 + bx - 4 = 0?
What is b equal to?

Answers

[tex]\mathfrak{ x ^ { 2 } + b x - 4 = 0} [/tex]

[tex]\mathfrak{bx-4=-x^{2} } [/tex]

[tex]\mathfrak{bx=-x^{2}+4 } [/tex]

[tex]\mathfrak{xb=4-x^{2} } [/tex]

[tex]\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } [/tex]

[tex]\mathfrak{ b=\frac{4-x^{2}}{x} } [/tex]

[tex]\mathfrak{b=-x+\frac{4}{x} } [/tex]

AnSwEr

[tex]\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }[/tex]

 ღ ꪑ꠸᥅ꫀꪊ

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