Find m.
30°
m
Write your answer in simplest radical form.
feet
60°
6 ft

Given,

ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \sf∠DBC= 55° and ∠BAC = 45°[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \sf∠CAD = ∠DBC= 55° (Angles \: in \: the \: same \: segment)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

Thus,

[tex] \sf∠DAB=∠CAD + ∠BAC[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= 55° + 45° [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf= 100°[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

We know that the opposite angles of a cyclic quadrilateral are supplimentary.

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \sf ∠DAB +∠BCD = 180°[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \sf∠BCD = 180°-100° =80°[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

[tex] \pink{\boxed{\sf{∠BCD = 80°}}}[/tex]

Answer:

∠BCD = 80°

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

∠DBC = 55°

∠BAC = 45°

∠BDC

=> ∠BAC = ∠BDC

=> 45° = ∠BAC { Angles of same segment BC}

In Triangle BCD

=> ∠BDC + ∠DBS + ∠BCD = 180°

=> 45° + 55° + ∠BCD = 180°

=> 100° + ∠BDC = 180°

=> ∠BDC = 180-100

=> 80° ans.

Answer:

x= -4/3

Step-by-step explanation:

Steps

7x +8 = 4X + 4

Subtract 8 from both sides

7x+ 8-8= 4x + 4-8

Simplify

7x=4x-4

Subtract 4x from both sides

7x-4x=4x-4-4x

Simplify

3X = -4

Divide both sides by 3

3X/3 = -4/3

Simplify

x= -4/3

Answer:

Step-by-step explanation:

Solution

7x+8=4x+4                          Subtract 4x from both sides

7x - 4x + 8 = 4                     Combine

3x + 8 = 4                            Subtract 8 from both sides

3x + 8 - 8 = 4 - 8                 Combine

3x = - 4                                Divide by 3

3x/3 = -4/3  

Answer: x = -4/3

Alone, this shape cannot have the area solved in one step.  So, you must break it up into multiple pieces.

For this, we can break it up into a rectangle, and a right triangle.

The area formula for a rectangle is [tex]area = l*w[/tex]

The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]

To find the area of the rectangle, multiply 14 * 18 = 252 m^2

To find the length of the triangle, subtract 20 - 14 = 6

To find the height of the triangle, subtract 18 - 11 = 7

So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2

21 + 252 = 273 meters squared

Hope this helps, feel free to ask any questions

- Jeron    :)

Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.

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

#SPJ1

The measure of the third angle in a triangle will be 112°.

Your information is incomplete. Therefore, an overview will be given.

Let's assume the the angles given in a triangle are 23° and 59°. The third angle will be:

= 180° - (23° + 59°)

= 180° - 82°

= 112°

It should be noted that a triangle has three angles.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

Answer:

[tex]4 \sqrt{2}[/tex]

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]

Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]

Rewrite 16 as 4²:

[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]

Apply exponent rule [tex]\sqrt{a^2}=a[/tex]

[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]

Answer:

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

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{32}[/tex]

= [tex]\sqrt{16(2)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]

= 4[tex]\sqrt{2}[/tex]

Answer:

3520

Step-by-step explanation:

Because 3 feet are  equal to a yard and 1760 yards are in one mile

So.. just add 1760+1760 and thats the equivalent of 2 miles

The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.

The area of a parallelogram = base × height of the parallelogram.

Given the following:

9 × height = 72

Height of parallelogram = 72/9

Height of parallelogram = 8 mm.

Learn more about the area of a parallelogram on:

https://brainly.com/question/3050890

#SPJ1

Answer: 10 Howdy cupcakes

Step-by-step explanation:

   A percent divided by 100 becomes a decimal.

[tex]20\%\; / \;100 = 0.2[/tex]

   Now, we will multiply the total by 0.2 to find 20%.

[tex]50 * 0.2 = 10[/tex]

        You will be ordering 10 cupcakes.

Answer:

[tex]\huge\boxed{\bf\: 3:4:2}[/tex]

Step-by-step explanation:

In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.

Now, let's divide the 3 numbers by 4.

[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]

This ratio cannot be further simplified as they don't have any common multiples except for 1.

So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

67600

Step-by-step explanation:

1300x52=67600

Answer:

$67,600

Step-by-step explanation:

1300 x 52 = 67600

Hey there!

ASSUMING….

4 * 3^c

= 4 * 3^2

= 4 * 3 * 3

= 12 * 3

≈ 12 + 12 + 12

≈ 24 + 12

= 36

Therefore, the answer should be: 36

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

Read more on parallelogram here: https://brainly.com/question/4459854

#SPJ4

Answer:

option C

Step-by-step explanation:

Answer: 7/40x + 19

Step-by-step explanation:

---Distribute the negative sign

4/5x + 13 - 5/8x + 6

---Get common denominators on the fractions

32/40x + 13 - 25/40x + 6

---Combine like terms

(32/40x - 25/40x) + (13 + 6)

7/40x + 19

Answer: 7/40x + 19

Hope this helps!

Answer:

4 movies because ďòê ánş vianna sausage says so i dont know im barely passing math myself

In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.

Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,

[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]

Thus, the experimental probability that the next car that comes in is red is 5/12.

The experimental probability that the next car that comes in is not red is,

[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]

Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

Learn more about the experimental probability here;

https://brainly.com/question/430568

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A. Hope this Helps! :)

Step-by-step explanation:

Answer:

6x+4 C

Step-by-step explanation:

Because the y-axis is +4

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

Answer:

336 pages per hour (pretty fast)

Step-by-step explanation:

It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)

Answer:

Step-by-step explanation:

Given rate is

Divide both numbers by 3/4 to get the unit rate per hour

Answer:

17 games

Step-by-step explanation:

There are 68 games in total. Assuming that the number of games watched are equally divided between 4 people, then each person watches 68/4 = 17 games.

Yes..

Add 2 sides together and if it’s larger than the 3rd side it’s possible

6 + 3 = 9, which is larger than 5

3 + 5 =8 which is larger than 6

6 + 5 = 11 which is larger than 3

Answer:

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

so

6+3=9

6+5=11

3+5=8

yes it is possible

Answer:   The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

Answer:

18 region

Step-by-step explanation:

step 1. 11+11+1=23

step 2. 23-41= -18 region

Answer: y=1/3x+2

Step-by-step explanation:

Answer:

22.62 degrees

Step-by-step explanation:

Right triangle

  you can pick cosine or sine to calculate angle r

        sin r = opposite leg/ hypotenuse = 5/13

                arcsin(5/13) = 22.62 degrees

         cos r =  12/13  

                r = arccos(12/13) =  22.62 degrees

Answer:

[tex]\pi * 9[/tex] or 28.28

Step-by-step explanation:

With the equation of [tex]A = \pi * r^2[/tex], We find that the r - (radius) = 3, so it would be [tex]\pi *3^2\\[/tex] or [tex]\pi * 9[/tex]

Hope This Helps!

hope this helps :)

............