Find the value of x. Then find the measure of each labeled angle.

Find The Value Of X. Then Find The Measure Of Each Labeled Angle.

Answers

Answer 1

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70


Related Questions

A shopkeeper buys a stove for $860 what is the selling price if he makes the profit of 15%

Answers

Answer:

$989

Step-by-step explanation:

860*0.15 is = 129

129 + 860 is 989

find the measure of major arc RUT. shiw your work please.​

Answers

Answer:

well not sure but I think it is 8° or 17.8°

A study of all 33,043 infants with a heart rhythm abnormality in Italy was conducted to find a link between heart rhythm abnormality and sudden infant death syndrome. (Source: New England Journal of Medicine)

What is known about the 33,043 infants?


They are the population.

They are the variance.

They are a sample.

They are the stratified random sample.

Answers

Using sampling concepts, it is found that the 33,043 infants represent the sample.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, all infants represent the population, while 33,043 infants represent the sample.

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what is the measure of ∅?

A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians​

Answers

Answer:

C. 4 radians

Step-by-step explanation:

[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]

Ctrl Angle = ∅

∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]

in radians:

∅ = [tex]\frac{720}{180} =4[/tex]

Hope this helps

a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100

Answers

The function that describes the car's distance from little rocks would be option A; y = 45x + 280

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Point 1:

(x, y) = (0, 280)

Since we are told the car's initial position is 280 miles in the time 0 h

Point 2:

(x, y) = (4, 100)

Since we are told the car's final position is 100 miles after 4h.

Let's find the Slope :

m = 45

Now, the equation of the line is:

y = mx + b

y = 45x + 280

Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280

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Find the equation of the parabola with its focus at (6, 2) and its directrix y = 0

Answers

Answer:

y= 1/4 x-62+1

Step-by-step explanation:

Assume that y varies inversely as x. if y=8 when x=-2 find y when x=4

Answers

The value of y will be -4 when the value of x is 4.

What is an 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.

The equation of the given condition will be given as:-

y = [tex]\dfrac{k }{x}[/tex]

At y = 8 when x = -2 so

8 = [tex]\dfrac{k}{-2}[/tex]

k = -16

The value of y at x = 4 will be calculated as:-

y = [tex]\dfrac{-16}{4}=-4[/tex]

Therefore the value of y will be -4 when the value of x is 4.

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Determine the endpoints of the midsegment connecting side YX and side YZ

Answers

Answer:

endpoint of midsegment connecting side YX is (4, 3)

endpoint of midsegment connecting side YZ is (5, -1)

Step-by-step explanation:

Mid point of a line segment -  it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.

according to the graph;

Y is (1, 2),  Z is (9, -4),  X is (7, 4)

therefore using mid point formula we can determine the endpoints of midsegments connecting side YX and YZ

if (x , y) and (x1, y1) are the endpoints of a line then;

The coordinates of mid point are given by the formula =  (x+x1)/2,  (y+y1)/2

using the above formula mid point of YX is

(7+1)/2, (4+2)/2 = (4, 3)

and the mid point of line YZ is

(9+1)/2, (-4+2)/2 =  (5, -1)

hence the answer is (4,3) and (5, -1)

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write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food

Answers

[tex]t = p*k[/tex]  is the formula that will help eric determine how much the potatoes he buys will cost in bulk.

What is Advance algebraic Equations?

An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

According to the question,

In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.

Since we are given specific variables for each piece of information needed for the variable.

All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.

[tex]t = p*k[/tex]

By using this formula lets Eric calculate the total price of an order of fruit or vegetables.

Therefore,

A formula that will help eric determine how much the potatoes he buys will cost in bulk is  [tex]t = p*k[/tex]

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If a data set has many extremely small data values, than the median will be

Answers

Answer:

If a data set has many extremely small data values, than the median will be the same.

What is the median?

The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.

The median is resistant to change no matter extremely small or large values.

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Express (x-8x)^2 as a trinomial in standard form

Answers

Answer:

(x - 8x)²

(x - 8x) (x - 8x).

using the identity

( a - b) ² = a² + b² - 2ab

a = x

b = 8x

x² + 64x - 16x²

Suppose I have Rs 1000 and I put it in the bank. What will be the amount I have after 5 years if Interest is 5% per annum?​

Answers

Answer:

Its 250 the answer which i got.

Answer:

After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276

Step-by-step explanation:

Find the volume of this sphere.
Use 3 for pie.
V≈ [?]cm³
V = πr³
10 cm

Answers

Answer:

V ≈ 500 cm³

Step-by-step explanation:

Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)

π (pi) ≈ 3r (radius) = diameter/2 ⇒ 10/2 = 5 cm

Substitute the given values into the formula:

⇒ V = ⁴⁄₃πr³

⇒ V ≈ (⁴⁄₃)(3)(5)³

⇒ V ≈ (⁴⁄₃)(3)(125)

⇒ V ≈ (⁴⁄₃)(375)

V ≈ 500 cm³

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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]

Find:  [tex]\textsf{Determine the volume}[/tex]

Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.

Determine the radius

[tex]\textsf{Radius = Diameter / 2}[/tex][tex]\textsf{Radius = 10 cm / 2}[/tex][tex]\textsf{Radius = 5 cm}[/tex]

Plug in the values

[tex]\textsf{Volume = 4/3 } * \pi*r^3[/tex][tex]\textsf{Volume = 4/3 } * 3 * (5\ cm)^3[/tex]

Simplify the expression

[tex]\textsf{Volume = (4 * 3)/3} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * 125\ cm^3[/tex][tex]\textsf{Volume = } 500\ cm^3[/tex]

After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.

Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"

Answers

Answer: 5p - 4

5 times ‘p’ = 5p
4 less than ‘p’ = p - 4

Therefore,
=> 5p - 4

Kara wants to order lunch for her friends. She'll order 4 rice bowls and a $5
child's meal for her brother. Kara has $29. How much can she spend on each
rice bowl if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.

Answers

Answer:

4x+5 ≤29. Answer = $6 or less

Step-by-step explanation:

1. x= the price of the rice bowl

2. 4x= price of 4 rice bowls

3. So we get 4x+5(The total amount of their purchase)

4. Kara has only $29 so she can spend that much

5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.

6. The answers include $6,$5,$4,$3,$2, and $1 or less.

What is -8/15 of 21/12

Answers

Answer:

-14/15

Step-by-step explanation:

"of" means multiply, thus:

-8/15 * 21/12

-8 * 21 / 15 * 12

-2 * 7 / 15

-14/15

Answer:

-14/15

Step-by-step explanation:

So first you need to get rid of the negative sign. Don't worry you will add it back later!

So, you will do

-8/15×21/12

Once you cross cancel, you will have

-2/5x7/3

That would be equivalent to

-14/15

That's your answer!

Hope this helped :)

1. What is the sum? 7/2+(-3/5)
4I3
10
21
10
10

Answers

Answer:

29/10

Step-by-step explanation:

7/2+(-3/5)

7/2-3/5

35/10-6/10

29/10

Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​

Answers

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

[tex]A=\frac{bh_b}{2}[/tex]

[tex]h_b=\sqrt{a^2-\frac{b^2}{4} }[/tex]

There are 2 solutions for [tex]b[/tex]

[tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }[/tex] ≈ [tex]10cm[/tex][tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm[/tex]

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

which is NOT an arithmetic sequence
-7,0,7,14

0,5,1,1.5

10,6,2,-2

2,4,8,16​

Answers

Answer:

2,4,8,16

Step-by-step explanation:

2,4,8,16

difference is multiplied by 2

Which of the following statements is false?

Answers

In quadrilateral PQRS, ∠P and ∠S are opposite angles.

A bike store rents bikes for $9 an hour in addition to a helmet rental fee of $15. If
Emmanuel paid $51, for how many hours did he rent the bike?

Answers

Answer:

4 hours

Step-by-step explanation:

First we need to subtract the one pay fee (the helmet rental fee, $15)

So 51 - 15 = 36

Then we need to divide 36 by the amount of money it costs for each hours to find how many hours he rented the bike

So 39/9 = 4

What is the name of an item that you will buy only once?

Answers

The name of an item that a person can only buy once in one's lifetime are:

A strong quality outdoor trash can.A  high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.What are lifetime products?

These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.

Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:

A strong quality outdoor trash can.A  high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.

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what will be the exponent of ten in quotient

Answers

Answer: 8

Step-by-step explanation:

We know that:

[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]

If a is a negative number, then a
always, always
and b is a negative number, then product ab is ?

Answers

Answer:

if a and b are both negative numbers, the product is a positive number

Memories this in your life ,

odd x odd= even

It’s also the same as saying ,

Negative x Negative = positive

Belfast Giants have played 5 matches and the mean number of goals scored is 3
When they play the 6th match, the mean increases to 4.

Answers

Answer:

2 goals

Step-by-step explanation:

After 5 games the team scored 1.8*5=91.8∗5=9 goals.

After 6 games the team scored 9+3=129+3=12 goals.

The mean after 6 games is \frac{12}{6}=2

6

12

=2 goals.

x^{2} +5x+6
[tex]x^{2} +5x+6[/tex]

Answers

Answer: No answer

Step-by-step explanation:

You can calculate for x, because the equation isn't equal to anything.

A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?

Answers

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

PLEASE ANSWER ASAP!!!!!!!!!!
The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.

Use the Sine tool to graph the function.

The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.

(please include a graph when you answer)

Answers

The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

What is sin function?

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

As we know the sin function is represented by:

y = Asin(Bx) + C

Here,

A = The amplitude  =  3

C = The vertical shift  = 1

B - The period in terms of π

B = 2π/amplitude

B = 2π/4

B = π/2

The becomes:  

[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

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2. Which of the following is true for the relation f(x) = x² + 8


only the equation is the function Only the in inverse is a function Neither the equation nor it’s inverse is a function Both the equation and it’s inverse are function

Answers

Answer:

Only the equation is the function

Follow the steps to find the
area of the shaded region.
Now, use the formula
below to calculate the
area of the triangle.
Triangle Area = bh
h = 10.0708 cm
Triangle Area = [?] cm²
Round to four decimal places.
14 cm
hi
46°
14 cm

Answers

The area of the triangle is given as: ≈ 70.50cm²

What is the explanation to the above solution?

Area of shaded region = Area of the sector less Area of the Triangle.

This is represented as:

π r² (∅/360) - 1/2 x b x h

= π x 14² x (46/360) - (1/2) x 14 x 10.0708

= 78.6794 - 70.4956

= 8.1838 cm²

Hence, the area of the triangle is (1/2) x 14 x 10.0708

= 70.4956 cm²

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Now play the role of a tourist and a student. The tourist should ask for directions to get to the following places in your locality. nearest health post/hospital nearest buspark/airport nearest campus/school (d) nearest river/swimming pool (e) nearest picnic spot 3. (a) (b) Sabnam Now play the role of a tourist and a student . The tourist should for directions to get to the following places in your locality . nearest health post / hospital nearest buspark / airport nearest campus / school ( d ) nearest river / swimming pool ( e ) nearest picnic spot . What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms? (5 points) What is the equation of the line that passes through the point (5,-2) and has aslope of -2/5 10. What may help drivers conserve gasoline?Sitting in their driveways with their carsrunning.Accelerating quickly.Slowing down gradually.Braking abruptly. Crowbar is to pry as scythe is to ______________ Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.) (-5, 10) and (5, -10) a. y = 2x-10 b. C. d. y = 2x y = -2x+ 20 y=-2x A The most appropriate carrying device to use when moving a patient across rough or uneven terrain is: question is in the picture anyone know this? Which of these words was first used during the 1970s economic crisis? There were 582 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. WILL GIVE THE BRAINLIEST!If r and s are real numbers such thatr>s>0, then(A) -s>-r> 0.(B) 0>-r> -s.(C) 0> -s> -r.(D) -s>0> -r.(E) -r> -s > 0. when electric power is transmitted over long distance, line losses can be reduced by generating AC rather than DC voltage and by transmitting? If 3x 6 f(x) x2 3x + 3 for x 0, find lim x3 f(x). f(x)=(2x3)(x+6)(5x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 2, x, minus, 3, right parenthesis, left parenthesis, x, plus, 6, right parenthesis, left parenthesis, 5, x, plus, 6, right parenthesis has zeros at x=-6x=6x, equals, minus, 6, x=-\dfrac{6}{5}x= 5 6 x, equals, minus, start fraction, 6, divided by, 5, end fraction, and x=\dfrac{3}{2}x= 2 3 x, equals, start fraction, 3, divided by, 2, end fraction. What is the sign of fff on the interval -6 Robert Hooke first observed cork under a microscope in jail so he named the small cubicles cellsFalse True 9. What happens between 1920 and 1930 in America? Lillian went shopping for a new phone because of a sale. The price on the tag was $20, but Lillian paid $16 before tax. Find the percent discount.pls help Triangle AA'B'C' is the image of AABC under a dilation. what is the soil like in the New England states1. fertile2. sandy3. poor4. rich placeholder images are sometimes used during manuscript preparation until the best image for the figure can be located or captured. the recommended way of using them is to: