In the Rhombus, m<3=80. Find m<2

160
80
50
40

In The Rhombus, M&lt;3=80. Find M&lt;2160805040

Answers

Answer 1
Answer: C. 50

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

Explanation:

The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).

Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.

x+x+80 = 180

2x+80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

Angle 1 is therefore 50 degrees.

Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.

Answer 2

Answer:

m<2 = m<1 = 50°

Step-by-step explanation:

In a Rhombus, Diagonals intersect at 90° as well bisect angles.

Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.

m<1 = m<2 = 50°


Related Questions

MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?

Answers

Answer:

5/3

Step-by-step explanation:

5×(10×1/3)

=10×5/3

=since 5×(10×1/3) gives 50/3 so thus 10×5/3.

The fraction is therefore 5/3

Tres amigos quieren abrir una empresa dedicada al reciclaje de plasticos. Para eso deben contar con $72.000. Uno de los amigos aporto 1/3 de dinero necesario para abrirla, el segundo aporto una cantidad equivalente a los 5/6 del resto.¿cuanto dinero aporto el tercer amigo?¿Cual de los tres hizo el mayor aporte?¿cuanto mas puso en relación con que el que aporto menos?

Answers

Answer:

a) ¿cuanto dinero aporto el tercer amigo?

= $ 8,000

b) ¿Cual de los tres hizo el mayor aporte?

El segundo amigo hizo la mayor contribución.

c)¿cuanto mas puso en relación con que el que aporto menos?

El tercer amigo hizo la menor contribución

Step-by-step explanation:

De la pregunta, se nos dice:

Dinero total requerido: $ 72,000

El primer amigo contribuyó: 1/3 si el dinero era necesario

Por lo tanto, el primer amigo contribuyó:

1/3 × $ 72 000 = $ 24 000

El segundo amigo contribuyó con 5/6 del resto

La fracción que representa el resto = 1 - 1/3 = 2/3

Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9

La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9

Por lo tanto, la cantidad que contribuyó el segundo amigo =

5/9 × $ 72 000 = $ 40 000.

a) ¿cuanto dinero aporto el tercer amigo?

Esto se calcula como:

$ 72,000 - ($ 24,000 + $ 40,000)

$ 72 000 - $ 64 000

= $ 8,000

Por lo tanto, el tercer amigo aportó $ 8,000.

b) ¿Cual de los tres hizo el mayor aporte?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por tanto, el segundo amigo hizo la mayor contribución.

c) ¿cuanto mas puso en relación con que el que aporto menos?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por lo tanto, el tercer amigo hizo la menor contribución.

Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D

Answers

The answer to this question is D

PlZ HELP NOW ASAP!!!

Answers

Answer:

x=33

Step-by-step explanation:

x for ?

sinx=opposite/hypotenuse

sinx=162.5/298=0.54530201

convert to degrees using arcsin(0.54530201)= 33.043

33 degrees rounded to the nearest ones

solve for x 3(x+2) = 12

Answers

Answer:

x=2

Step-by-step explanation:

3(x+2) = 12

Divide by 3

3/3(x+2) = 12/3

x+2 = 4

Subtract 2 from each side

x+2-2 = 4-2

x =2

Answer:

The value of x is equal to 2.

Step-by-step explanation:

3(x + 2) = 12

Distribute 3 to (x + 2)

3x + 6 = 12

Subtract 6 from both sides of the equation.

3x = 6

Divide 3 on both sides of the equation.

x = 2

The value of x is 2

ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.

Answers

Answer:

When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°

Step-by-step explanation:

Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.

Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.

In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.

Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.

Angle A = Angle B

m<A + m<B = measure of intercepted arc = 75°

Find the GCF of 15 and 25​

Answers

Answer:  5

15 factors into 5*3

25 factors into 5*5

The common factor is 5, and this is the largest common factor between 15 and 25.

Please help correct answer gets brainliest.

Answers

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

100 2/3 as a decimal

Answers

Answer:

100.66 is the decimal.

Step-by-step explanation:

100⅔ = 302/3

302 ÷ 3 = 100.66 to infinity.

A survey of 100 people found that 35 people exercise in
the morning, 45 people exercise in the afternoon, and 20
people exercise at night. Tara claims that 35:55, 45:80,
and 20:65 are possible ratios from this data. Jim claims
that 35:100, 45:100, and 20:100 are possible ratios from
this data. Who is correct? Explain.​

Answers

Answer:

Jim's claim is correct

Step-by-step explanation:

Total survey=100 people

Morning exercise=35 people

Afternoon exercise=45 people

Night exercise=20 people

Morning exercise : Total survey

=35 : 100

Afternoon exercise : Total survey

=45 : 100

Night exercise : Total survey

=20 : 100

Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.

Tara's claim however seems to relate one variable with two other variables

Example:

35 : 55

Morning exercise : (morning exercise + night exercise)

35 : (35+20)

35 : 55

Answer:

Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.

A. 19
B. 20
C. 15
D. 25
Help please !!

Answers

Answer:

A

Step-by-step explanation:

WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)

Answers

Answer:

The last one.

Step-by-step explanation:

For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.

The last graph is the only one that has that.

Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.

Pete earns graduated commission on his sales each month. He earns 7% commission on the first $35,000 in sales and 9% on anything over that. If Pete had $43,000 in sales this month, how much commission did he earn?
a. $2,610
b. $3,170
c. $3,870
d. $6,880
Please select the best answer from the choices provided A B C D

Answers

Answer:

b.$3170

Step-by-step explanation:

43,000-35,000=8,000

SO you would find 9% commission on 8,000

8,000x.09=720

then, you would find his normal commission if he only made 35,000

so you would do 35,000x.07=2450

you would, then, add the two together to get his entire commission, which is $3170

Answer:

b

Step-by-step explanation:

Convert each number to scientific notation or standard notation.


1.0395 × 10^9

4 × 10^2

Answers

Answer:

1)1,0395x10^9

2)its already in scientific notation?

If you write it in standard notation, which is actually just regular notations it's 400.

Step-by-step explanation:

Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of  10 , with the power corresponding to the amount of places the decimal should move.

It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?

Answers

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

A result of a number, what decreased by 15% equal 161. Find that number.

Answers

Answer: 189.41

Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117

I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!

Plz HELP !!!!! I would appreciate it!!!

Answers

Answer/Step-by-step explanation:

a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.

Adjacent = side AB

Opposite = side BC

Hypotenuse = side AC

b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)

II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.

III. The side adjacent to <A is AB => TRUE

IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.

c. Cos θ = [tex] \frac{adjacent}{hypotenuse} = \frac{AB}{AC} [/tex]

Tan θ = [tex] \frac{opposite}{adjacent} = \frac{BC}{AB} [/tex]

d. Sin C = [tex] \frac{opp}{hypo} = \frac{AB}{AC} [/tex]

Cos C = [tex] \frac{adjacent}{hypotenuse} = \frac{BC}{AC} [/tex]

Tan C = [tex] \frac{opp}{adjacent} = \frac{AB}{BC} [/tex]

a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres​

Answers

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19

Answers

Answer:

a_n = 11 - 6n

Step-by-step explanation:

you can observe every next element is smaller then the previous one by 6  

a_n = 5 - 6*(n-1)

a_n = 5 - 6n + 6

a_n = 11 - 6n

this graph shows the solution to which inequality (3 3) (-3 -1)

Answers

Answer:

B

Step-by-step explanation:

since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer

y>2/3 x +1 is your answer (B)

Answer:

[tex] \boxed{y > \frac{2}{3} x + 1}[/tex]

Option B is the correct option.

Step-by-step explanation:

point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1

point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3

Now, let's find the slope:

Slope ( m ) = [tex] = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{3 - ( - 1)}{3 - ( - 3)} [/tex]

[tex] = \frac{3 + 1}{3 + 3} [/tex]

[tex] = \frac{4}{6} [/tex]

[tex] = \frac{2}{3} [/tex]

At ( 3 , - 1 )

y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis

[tex] - 1 = \frac{2}{3} \times ( - 3) + c[/tex]

Solve for c

[tex] - 1 + 2 = c[/tex]

[tex]c = 1[/tex]

Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.

The answer would be:

[tex]y > \frac{2}{3} x + 1[/tex]

Hope I helped!

Best regards!

If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit? Show your work.

Answers

Answer:

62

Step-by-step explanation:

4x + 6

4(14) + 6 (substituting x = 14)

56 + 6

62

Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?

Answers

Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

b = 24

de la segunda ecuación del planteamiento:

a = 12 + b

a = 12 + 24

a = 36

Check:

24 + 36 = 60

collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows

Answers

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)

Answers

Answer:

D. 2,-1

Step-by-step explanation:

When a line is reflected by y=x, the x and y switch.

-3x+2y=6 Find the intercepts. Show your work.

Answers

Answer:

The x-intercept is (-2,0)

The y-intercept is (0,3)

Step-by-step explanation:

An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:

[tex]-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2[/tex]

So, the x-intercept is (-2,0).

Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:

[tex]-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3[/tex]

Thus, the y-intercept is (0,3).

Please help, I don't understand

Answers

Answer:

  sin(θ) = (2/5)√6

Step-by-step explanation:

The sine and cosine are related by the formula ...

  [tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]

Filling in the given value for cos(θ), we find the sine to be ...

  [tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]

__

The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...

  sin(θ) = (2/5)√6

prove that [tex]2/\sqrt{3} cosx + sin x= sec(\pi /6-x)[/tex]

Answers

Answer:

sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx)  = L.H.S.

Step-by-step explanation:

sec(π/6 - x) = 1/cos(π/6 - x)

Using compound angle formula,

cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.

So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2

cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx

sec(π/6 - x) = 1/cos(π/6 - x)

= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)

= L.H.S

So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx)  = L.H.S

Please answer this question now

Answers

Answer:

72°

Step-by-step explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,

[tex] 56 = \frac{1}{2}(AB + 40) [/tex]

Solve for AB

[tex] 56 = \frac{AB + 40}{2} [/tex]

Multiply both sides by 2

[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]

[tex] 112 = AB + 40 [/tex]

Subtract both sides by 40

[tex] 112 - 40 = AB + 40 - 40 [/tex]

[tex] 72 = AB [/tex]

Arc AB = 72°

Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25 cups of sugar. Write an addition equation to represent the total amount of sugar Dante needs. Enter your answer as an addition equation, like this: 42+(-53)=-11

Answers

Answer:

2.75 cups of sugar

Step-by-step explanation:

Hello!

To find the total amount of sugar Dante needs we need to add the amount need for each recipe

Cookie recipe needs 1.5 cups

Brownie recipe needs 1.25 cups

1.5 + 1.25 = 2.75 cups of sugar

The answer is 2.75 cups of sugar

Hope this helps!

Answer:

the answer is 1.5+1.25=1.75

Step-by-step explanation:

i just added them together

your welcome ( it also depends on how many times he uses the recipes)

Last week, 17 employees exceeded their sales quota, 13 employees met their sales quota, and 3 employees didn't meet their sales quota. Express the number of employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota. Question 11 options: A) 3:13 B) 16:17 C) 17:16 D) 17:33

Answers

Answer:

17:16

Step-by-step explanation:

Number of employees exceeded their sales quota = 17

Number of employees met their sales quota = 13

Number of employees didn't exceed their sales quota = 3

Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota.

 

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