if each quadrilateral below is a rectangle, find the missing measures. ​

If Each Quadrilateral Below Is A Rectangle, Find The Missing Measures.

Answers

Answer 1

Answer:

Recall each angle in a rectangle is 90 degrees.  So to find the other portion, subtract the given angle from the 90 degrees.

Step-by-step explanation:

Answer 2

The missing measures of the angles are as follows:

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

What is a rectangle?

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

to determine the measures of the angles:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

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If Each Quadrilateral Below Is A Rectangle, Find The Missing Measures.

Related Questions

1. You are a contestant on the Wheel of Fun. The spinner contains 4 red panels,
5 yellow panels, a bankrupt panel, 7 blue panels and two free spin panels.
Utilize this given information to calculate the following probabilities:

a. Probability of a spin landing on a red panel.

b. Probability of a spin landing on anything but a blue panel.y that

C. Probability of a spin landing on a yellow or red.

d. Probability of a spin landing on a any non-color panel.
Okay

Answers

Answer:

We have:

4 red panels

5 yellow panels

1 bankrupt panel

7 blue panels

2 free spin panels

for a total of:

4 + 5 +1 + 7 + 2 = 19 panels.

And we can assume that all the panels are equal, so the probability of landing on every single one is the same.

a) Probability of a spin landing on a red panel.

This will be equal to the quotient between the number of red panels (4) and the total number of panels (19)

P = 4/19 = 0.211

b) Probability of a spin landing on anything but a blue panel

There are 7 blue panels and a total of 19 panels.

then 19 - 7 = 12 panels are not blue.

The probability of not landing on a blue panel will be equal to the quotient between the number of panels that are not blue (12) and the total number of panels (19)

P  = 12/19  = 0.632

c)  Probability of a spin landing on a yellow or red.

There are 4 red and 5 yellow ones, so there are 4 + 5 = 9 panels that are either red or yellow.

The probability is computed in the same way as in the above cases, here we have:

P = 9/19 = 0.473

d)  Probability of a spin landing on any non-color panel.

The non-color panels are:

1 bankrupt panel and 2 free spin panels, for a total of 3 non-color panels.

The probability is computed in the same way as above, so we get:

P = 3/19 = 0.158

Find the distance between the pair of points

(0,0)(6,8)

Answers

A(0,0)B=(6,8)

Distance formula

[tex]\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6 - 0) {}^{2} + {(8 - 0)}^{2} } \\ \\ \sf\longmapsto \sqrt{ {6}^{2} + {8}^{2} } \\ \\ \sf\longmapsto \sqrt{36 + 64 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]

Marla noticed that her friend Ron had three times as many pieces of candy as she did. She told him, "If you give me seven pieces of your candy, we'll have exactly the same number of pieces." Ron responded, "I didn't know that until you mentioned it. But I'll make you a deal: If you can show me how to solve this puzzle using algebra, I'll give you the seven pieces. "One minute later, Ron was shocked to see that Marla had solved it perfectly. Can you do the same?

Answers

Answer:

This question seems to be asking for the work, so I put it below.

Anyhow, Marla had 3.5 candies, and Ron had 10.5.

Step-by-step explanation:

x = 3x - 7  (lets set this as "a")   { a = 3x - 7}

x + 7 = 3x -7 + 7

x + 7 = 3x

( x + 7 ) / 3 = 3/3x

( x + 7 ) / 3 = x     =    *(same as "a") {a}

( x + 7 ) / 3 = 3x - 7

( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3

x + 7 = 9x - 21

x - x + 7 = 9x - x - 21

7 = 8x - 21

7 + 21 = 8x - 21 + 21

28 = 8x

28 / 8 = 8/8x

3.5 = x

We can plug this back into the original equation and find that it is correct because:

x = 3x - 7

x = 3.5  =====

3.5 = 3( 3.5 ) - 7

3.5 = 10.5 - 7

3.5 = 3.5

Answer:

Marla has 7 and Ron has 21

Step-by-step explanation:

lets take

no. of candies Marla has as "x"

and no. of  candies Ron has will be "3x"

Marla says if Ron gives her seven candies, they will have the same no. of candies

so your equation will be -

x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)

3x - x = 7 + 7

2x = 14

∴x = 7

and 3x = 3 x 7 = 21

YOUR WELCOME

I need help to find W =

Answers

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

Un deportista de natación necesita mejorar su estilo de clavado, por lo que ha grabado con una cámara ubicada bajo el agua cada uno de sus movimientos hasta obtener el mejor clavado. Los resultados del clavado esperado fueron descritos en una ecuación de la profundidad h en función de la distancia x, a la que vuelve a emerger, donde todas las distancias están en metros, así: h(x) = 6x2+6x
Si se toma el nivel del agua de la piscina como el eje de las abscisas, determine la profundidad máxima, en metros, que alcanzó en su clavado.

ayuda es para mañana

Answers

Answer:yes

Step-by-step explanation:

Yes

9)Using appropriate properties , find 7
5
×
5
12

3
12
×
7
5

1
15

Answers

Answer:

-20940

Step-by-step explanation:

5 x 512 - 312 x 75 - 115

According to BODMAS ,

2575 - 23400 - 115

= -2090

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.

Answers

Answer:

6+n/8=2

Step-by-step explanation:

* More Than = (+) or in some cases (>)

* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".

* Equal = <---

find length of missing sides ​

Answers

A 45-45-90 triangle follows a unique pattern. It has two congruent sides and one side that = x * sqrt(2).

If AC = 9sqrt(2), then AB is also 9sqrt(2).

To find CB, we need to multiply 9sqrt(2) by sqrt(2).

9sqrt(2) * sqrt(2) = 9 * 2 = 18

CB = 18

Hope this helps!

What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form? O y=-3x-5 O y=-3x+5 O Y= 3x-5 O y = 3x + 5​

Answers

Answer:

y= -3x+5

Step-by-step explanation:

firstly find the gradient given by the formula

m=y2-y1/x2-x1

so in this case y2 is -10,x2 is 5,y1 is -1 and x1 is 2

m= -10+1/5-2

m= -9/3

= -3

after finding the gradient use the equation

y-y1=m( x-x1)

y+1= -3(x-2)

y+1= -3x+6

y= -3x+6-1

y= -3x+5

I hope this helps

Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades

Answers

Answer:

Imperfect substitutes

explanation:

The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.

Consider the following sequence: -5, -1, 3,...
a. Is this sequence a arithmetic or geometric? How can you tell?

b. Is 119 a term in this sequence? If so, what term is it? If not, why not? Explain completely.​

Answers

Answer:

a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term doesn't change

b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 plus 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.

Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?

Answers

Answer: x = 1 hour and 33 minutes

Step-by-step explanation:

Let x = time (hours) it takes typing together

then

x(1/2 + 1/7) = 1

 multiplying both sides by 14:

x(7 + 2) = 14

x(9) = 14

x = 14/9

x = 1.56 hours

or

x = 1 hour and 33 minutes

Hope tjis help you!:)

Answer: 14/9 hr

Step-by-step explanation:

If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.

the tub started with gallons of water

Answers

Answer:

huh?

Step-by-step explanation:

need help with this!!!

Answers

Answer:

I say the fourth one just because

Please help me with this problem

Answers

Answer:

4x² - 5x - 8 = 0

Step-by-step explanation:

Standard form of a quadratic: ax² + bx + c

Move all terms to one side and sort them based on the level of degree:

[tex]4x^2-9x-8=-4x\\4x^2-9x+4x-8=0\\4x^2-5x-8=0[/tex]

Answer:

4x^2 -5x-8 =0

Step-by-step explanation:

ax^2 + bx + c = 0 is the standard form

4x^2 -9x-8 =-4x

Add 4x to each side

4x^2 -9x+4x-8 =-4x+4x

4x^2 -5x-8 =0

Have fun all !!! This is my trash account. You all can have my points.

Answers

Answer:

Step-by-step explanation:

OK

Answer:

rshjgdlf

FGshjfgsfds

Step-by-step explanation:

GIMME'

What type of angle is angle R?

A. obtuse
B. right
C. straight
D. acute

Answers

Answer:

A. Obtuse

Step-by-step explanation:

Angle R is greater than 90°.

Answer:

Obtuse

Step-by-step explanation:

We know this because the angle is larger than 90 degrees which is also known as an obtuse :)

The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
X
oc
Answer: 2
Submit Answer
Just need some help

Answers

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

45 - 45 - 90 Triangles

When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]

So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.

[tex]\frac{1}{\sqrt{2} }[/tex]  rationalize denominator.

[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex]  =  [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] =  [tex]\frac{\sqrt{2}}{2}[/tex]

Cedric and Insha solved the same equation using the calculations below.

Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.

Which statement is true about their work?

Answers

The first working out is correct, z = 3

pls halp ////////////////

Answers

Answer:

9x^2 + 2x - 5

Step-by-step explanation:

7x^2 - 5x + 3

2x^2 + 7x - 8

__________

9x^2 + 2x - 5

Option B is the correct answer.

A heron can travel an average of 400 km in 10h. What is the rate of change of distance?

Answers

Rate of change of distance is also known as speed.

Given,

Distance (s) = 400km = 400 × 1000m = 400,000m

Time (t) = 10h = 10 × 3600s = 36,000s

We know that,

Speed (v) = Distance/Time

[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]

A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

What is the meaning of the term “distance”?

Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.

The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.

The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.

[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]

Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

Learn more about distance from here:

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HELP QUICK ILL GIVE BRAINLIEST

Answers

Answer:

here's the answer to your question

Answer: √18

√(4-1)^2 + (5-2)^2

√9 + 9

√18

Answered by Gauthmath must click thanks and mark brainliest

2/3 (9-12n)
plz tell me fast its urgent
no spam or i will report

Answers

Answer:

6 -8n

Step-by-step explanation:

2/3 (9-12n)

Distribute

2/3 *9 - 2/3 *12n

6 -8n

The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?

A.) 90
B.) 180
C.) 270
D.) 360​

Answers

Answer:

A. 90 degrees

Step-by-step explanation:

Look this picture :]

Compara los siguientes pares de numeros enteros y representalos en la recta numerica A) +13 y-2 B) -5 y -7 C) +4 y +1 D) -5 y 0

Answers

Answer:

La única comparación que podemos hacer entre un par de números A y B, es la diferencia entre ellos, lo cual nos dice cuál es la distancia entre esos números en la recta numérica.

Es importante recordar la regla de los signos:

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

A)

+13 y -2

La difencia será:

13 - (-2) = 13 + 2 = 15

Para graficarlos en la recta numérica, recordar que los números negativos van el lado izquierdo, en la imagen de abajo, este par está representado con los puntos A y A.

B) -5 y -7

Aqui la diferencia es:

-5 - (-7) = -5 + 7 = 2

Es decir, hay dos unidades de distancia entre estos números.

En la recta estan representados con B y B'

C) +4 y +1

La diferencia es:

4 - 1 = 3

es decir, hay 3 unidades de distancia entre esos números

En la recta estan representados con C y C'

D) -5 y 0

La diferencia es:

0 - (-5) = 0 + 5 = 5

Es decir, hay 5 unidades de distancia entre esos numeros.

En la recta estan representados con D y D'

Ahora que sabemos la distancia entre cada par, tambien podemos hablar de que pares son mas cercanos entre ellos y ordenarlos.

De mas cercanos a más alejados, el orden es:

B, C, D, A.

calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%

Answers

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

please find y and round to the nearest 10th

Answers

Answer:

178.3 ft

Step-by-step explanation:

Since you have the angle 27 and the side length of 350 you can set up a proportion that is Tan(27)=y/350. You can solve from this to 350*tan(27)=y and then simplify to 178.3.

Answer:

y =178.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 27 = y/350

350 tan 27 = y

178.3339073=y

Round to the nearest tenth

y =178.3

Please help me solve this problem guys

Answers

Answer:

17%

Step-by-step explanation:

Again, as the amount of years increase, the population of bees gets multiplied by 0.83. We can rewrite this to 83%, and then again rewrite this to 100%-17%. We can see now that the population of bees decreases by 17% each year.

please help me with this math question!

Answers

Answer:

350 - 170 - 120 = r

Step-by-step explanation:

Identify the variable:

r = number of red pens

The total amount of pens ordered is 350 when adding all three colors of pens. This means we must add all of the colored pens to find the total number of pens, 350.

Write this as an equation:

170 + 120 + r = 350

Rewrite the equation to find r:

350 - 170 - 120 = r

Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?

Answers

Answer:

4/8= 2/4=1/2= 50%

Step-by-step explanation:

4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%

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