find x and y. use proper postulates or theorems to justify your answer

Find X And Y. Use Proper Postulates Or Theorems To Justify Your Answer

Answers

Answer 1

Answer:

x = 110 & y = 28

Step-by-step explanation:

The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.

If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.

Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.

So, 100 + (2y + 24) = 180.

Subtract 100 from both sides to get 2y + 24 = 80

Then subtract 24 from both sides to get 2y = 56

And divide both sides by 2 to get y = 28 degrees.


Related Questions

the equation is :
answer x:

Answers

Answer:

A) x would be 21 if i interpreted it right

Step-by-step explanation:

4x - 11 = 73

i think anyways

4x = 73 + 11

4x = 84

x = 21

i d k  what B means?

A T.V. se was bought for Rs. 13950, when 10% discount is given. , calculate the marked price of the T.V.

Answers

Answer:

15500

Step-by-step explanation:

Solution

here

price of tv after discount: 13950

discount : 10%

now,

price of tv without discount= 13950÷90×100price of tv without discount= Rs15500

6. Higher Order Thinking The manager of a restaurant wants to add two new side dishes to the menu. She surveys customers about side dish preferences and records the results in the table shown at the right. a. Find the experimental probability that a customer prefers either baked potato or asparagus. b. Find the experimental probability that a customer prefers either steamed broccoli or sweet potato.​

Answers

Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:

a. 0.6 = 60%.

b. 0.4 = 40%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.

Item a:

127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:

p = 222/370 = 0.6 = 60%.

Item b:

44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:

p = 148/370 = 0.4 = 40%.

More can be learned about probabilities at https://brainly.com/question/14398287

What is the volume of this right prism?

1200 in³

1800 in³

2040 in³

3600 in³
Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.



brainleiest whoever answers

Answers

Answer:

1800 in^3

Step-by-step explanation:

An angle that measures exactly 180° is known as a/an _____ angle​

Answers

Answer:

An angle that measures exactly 180° is known as a straight angle​

Step-by-step explanation:

A straight angle is basically just a line. It is equal to two right angles (which are 90 degrees) and it is also half of a circle.

I hope this was helpful! If you need any more information on straight angles or any other angles, let me know! Have a lovely day! :)

Help!!!
Rationalize the denominator of;
[tex]1) \frac{1}{ \sqrt{7} } [/tex]
[tex]2) \frac{2}{ \sqrt{3} - \sqrt{2} } [/tex]
[tex]3) \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } [/tex]

Answers

Answer:

see below for explanation:-

Step-by-step explanation:

#1

[tex] \displaystyle{ \frac{1}{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{7} }{7} }[/tex]

#2

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }[/tex]

[tex]\displaystyle{2( \sqrt{3} + \sqrt{2} )}[/tex]

#3

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }[/tex]

which fraction is larger: 3/10 or 2/7
Plot on a number line

Answers

Answer:

3/10 is bigger

Step-by-step explanation:

covert into a decimal so 0.3 is bigger than 0.2857

a large University with over 40,000 took a recent survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. b = the proportion of students in the sample who claimed to work out 3 at least 3 times a week. What is the standard deviation of the sampling??

Answers

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Rewrite the expression 2 square root X•4x^-5/2 in the form k•x^n

Answers

Answer:

(4x)

2

=16×x

2

Step-by-step explanation:

hope it's help

For 1-6, classify each triangle by its sides and then by its angle

Answers

Answer:

1) right angled triangle

2) isosceles triangle

3) equilateral triangle

4) scalen triangle

5) isosceles triangle

6) right angled triangle

Carrie ate some of the oranges that her mother brought home from the grocery store. Of the oranges her mother brought 1/4 were left over. Shyla,Carrie's sister ate 2/5 of the oranges that were left over. What fraction of the oranges did shyla eat?

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We can put an actual number to this just for easier purposes

So let's say there was 100 oranges at the grocery store

Mom brought home 1/4 which is 25 oranges

100 * [tex]\frac{1}{4}[/tex] = 25

So now we have 25 oranges

Then, Shyla ate 2/5 of the oranges

So we want 2/5 of the 25 left oranges

25 * [tex]\frac{2}{5}[/tex] = 10

And 10 out of 100 is:

1/10

The easier way to do it is to just multiply the fractions together:

[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]

If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)

The number 3 is a factor of _________.
A) 4
B) 8
C) 12

Answers

hello!

=================================================

3 is a factor of 12 because 12 is evenly divisible by 3

4 and 8 are not evenly divisible by 3.

the key word here is evenly (without a remainder)

===================================================

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)


A candy maker produces 465 pounds of chocolate bites. It is placed in equal amounts into 145 empty bags. Each bag can hold up to 3 pounds. How many pounds of chocolate bites are left over after the bags are filled?​

Answers

Answer:

30 pounds are left over after the bag filled

Step-by-step explanation:

145×3

= 435

now,

465-435

= 30

Find the slope of the line that passes through (56, 49) and (-18, 35).

Answers

Answer:

[tex]\displaystyle \frac{7}{37}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}[/tex]

I am joyous to assist you at any time.

Which is the better choice: $1000 deposited for a year at a rate of 4.8% compounded semiannually 19) or at a rate of 4.7% compounded quarterly?

Answers

[tex]~~~~~~ \stackrel{\textit{\Large 4.8\% semiannually}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]A=1000\left(1+\frac{0.048}{2}\right)^{2\cdot 1}\implies \boxed{A\approx 1048.58}~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large 4.7\% quarterly}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.7\%\to \frac{4.7}{100}\dotfill &0.047\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &1 \end{cases} \\\\\\ A=1000\left(1+\frac{0.047}{4}\right)^{4\cdot 1}\implies \boxed{A\approx 1047.83}[/tex]

The Oriental Pearl Tower in Shanghai, China, is a 468-meter high tower with 11 spheres along the tower. Two spheres are larger than the rest and house meeting areas, an observation deck, and a revolving restaurant. The lower of the two larger spheres has a radius of 25 meters, and the higher sphere has a radius of 22.5 meters. What is the approximate total volume of the two largest spheres on the Oriental Pearl Tower?

Answers

The approximate total volume of the two largest spheres on the Oriental Pearl Tower 113105.45 m³.

How to find the volume of a sphere

The volume of the sphere is calculated as follows:

volume = 4 / 3 πr³

where

r = radius

The lower two larger spheres in the tower has a radius of 25 meters and 22.5 meters. Therefore, the total volume of the two largest sphere is as follows:

volume of lower sphere = 4 / 3 × 3.14 × 25³

volume of lower sphere = 196250 / 3

volume of lower sphere = 65416.6666667

volume of lower sphere = 65416.7 m³

volume of higher sphere = 4 / 3 × 3.14 × 22.5³

volume of higher sphere = 143066.25 / 3

volume of higher sphere = 47688.75

volume of higher sphere = 47688.8 m³

The approximate total volume = 65416.7 + 47688.8  = 113105.45 m³

learn more on sphere here: https://brainly.com/question/13833611

Classify each of the following statements as true or false.
a 4 × n can be written as 4n. say if it is true or false thanks smarties
b n × 3 can be written as 3n.
c 4 × b can be written as b + 4.
d a × b can be written as ab.
e a × 5 can be written as 50a.

Answers

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

What is the outlier for the data set?
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90

Answers

Answer:

6 3 5 6 8 8

Step-by-step explanation:

farthest apart than any other number

Answer:

Your correct answer is 90 :)

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier. 

Have an amazing day!!

Please rate and mark brainliest!!

please help me solving this question please i want all solve please help​

Answers

The correct answer is:
David= 8
Raveena = 64
Hamid = -4

please answer and use statement reason

Answers

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

Solve for p.

3(p + 4) = 48
A. 13

B. 12

C. 14

D. 19

Answers

Step-by-step explanation:

3 ( p + 4 ) = 48

3p + 12 = 48

3p = 48 - 12

3p = 36

p = 36 ÷ 3

p = 12...

Jameson wants to construct a ladder that has 8 rungs. Each rung is
3.2 feet wide. The two sides measure 10.6 feet each. The wood is
sold for $2.25 per linear foot. Find how much the wood to construct
this ladder will cost Jameson. 5.NBT.7

Answers

Answer:

$23.85

Step-by-step explanation:

Linear foot- sold by the lenght.

Therefore you dont worry about the 3.2 feet wide

So now we multiply 10.6 * 2.25

which is...

$23.85

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

Answer:

Your answer would be:
C.) 1,350 cm2

Volume = 0.5 x b x h x length

0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

PLEASE HELP!!! TOTAL 50 POINTS IF GIVEN BRAINLIEST ANSWER!!!

Find the average value of the function f over the given region.
f(x, y) =10x +3y over the triangle with vertices (0, 0), (9, 0), and (0, 2).

Answers

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

What are the x-intercepts of this conic section?



no x-intercepts

(−1, 0) and (1, 0)

(0, −2) and (0, 2)

(0, −1) and (0, 1)

Answers

Using it's concept, it is found that the conic section has no x-intercepts.

What is a x-intercept of a function?


A x-intercept of a function is given by the value of x when y = 0. On a graph, it is the value of x when the function crosses the x-axis.

In this problem, the conic section given in the graph does not cross the x-axis, hence it has no x-intercepts.

More can be learned about x-intercepts at https://brainly.com/question/24737967

Which list of angle measures could be the angle measures of a triange?

Answers

Answer:

angles of triangle adds up to 180 degrees

Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters away from the hook. If Michelle is 20 meters away from the fish, how far below Michelle is the hook?

Answers

Answer:

12 meters

Step-by-step explanation:

You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12

ΔQRS is a right triangle.

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle.

Select the correct similarity statement.

Answers

Answer:

∆QRS is a right triangle

Step-by-step explanation:

correct similarity statement is RST

Answer:

I think its B

Step-by-step explanation:

Edge 2022

The length is :____ meters and the width is ____meters.

Answers

Answer:

Length= 8, Width= 4

Step-by-step explanation:

Say the length is l, and the width is w.

We can set l, the length as 2w, as it is double the length.

The perimeter= 2l + 2w= 24

Input l as 2w, get

4w+2w=24

6w=24, w=4.

Length is w*2, so length is 8.

The sum of three numbers is 11 . The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 44. The difference between 4 times the first number and the second number is 10. Find the three numbers.

Answers

Answer:

4, 6, 1

Step-by-step explanation:

We can solve this problem using a system of equations:

1) a + b + c = 11

2) 2a + 5b + 6c = 44

3) 4a - b = 10

First, we can substitute the value of b from equation #3 into equation #1:

b = 4a - 10

a + (4a - 10) + c = 11

5a - 10 + c = 11

5a + c = 21

c = 21 - 5a

Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:

2a + 5(4a - 10) + 6(21 - 5a) = 44

2a + 20a - 50 + 126 - 30a = 44

-8a + 76 = 44

-8a = -32

a = 4

b = 4a - 10 = 4(4) - 10 = 6

c = 21 - 5a = 21 - 5(4) = 1

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