The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.

The Diagonals Of Rhombus ABCD Intersect At E. Given That MCAD=20 And CE=4, Find The MCDA.

Answers

Answer 1

Given :

The diagonals of rhombus ABCD intersect at E.

∠CAD = 20°.

To Find :

The angle ∠CDA.

Solution :

We know, diagonals of a rhombus bisects each other perpendicularly.

So, ∠DEA = 90°.

In triangle ΔEAD :

∠EAD + ∠AED + ∠EDA = 180°

20° + 90° + ∠EDA = 180°

∠EDA = 70°

Now, we know diagonal of rhombus also bisect the angle between two sides .

So, ∠CDA = 2∠EDA

∠CDA = 2×70°

∠CDA =140°

Therefore, ∠CDA is 140°.


Related Questions

Explain how to use ratio tables and compare ratios.

Answers

Answer:

You should ALWAYS do everything by the same value for using the tables Step-by-step explanation:

if one side gets multiplied so should the other, so let's say you had 2:4 if you are multiplying the 4 by 3, you should also multiply the 2 by 3.

Comparing ratios:

In order to compare a ratio you must have a number that is constant, basically in other words a common number. A number that almost is always the multiplied, or divided by the same amount.

Please. give brainliest I did my best.

What is the value of x, if the equation 2(x + 60) + 2(30) = 200

Answers

x= -530

This is because:

2(x+60)+2(30)=200
•distribute the 2s into each parentheses
2x+1200+60=200
•combine like-terms
2x+1260=200
•isolate 2x by subtracting 1260 from both sides of the equation
2x=200-1260
•subtract 1260 from 200
2x= -1260
•divide both sides by 2 so you can have x all alone
2x/2= -1260/2
Hence
x= -530

Drag the colon to the correct spot in the sentence.

Answers

Following activities

Answer: Ronald has a daily ritual that includes the following activities : exercising on the treadmill for an hour, reading the morning papers, and getting coffee from a café on his way to work.

Step-by-step explanation:

A colon is used to introduce a list of items in a sentence.

A group of 24 people need transportation from a hotel to a concert. They will be picked up by Uber drivers that can fit 4 passengers in their compact car and 6 passengers in their SUV’s. You would like to determine how many compact cars and SUVs could be used to transport the entire group. Let x = the number of compact cars and let y = the number of SUV's.

Write and graph an equation that models the situation.

Answers

Answer:

Step-by-step explanation:

Compact cars:

24 divided by 4 = 6

6 cars for 24 people

SUV's:

24 divided by 6 = 4

4 SUV's for 24 people

Answer:

[tex]4x+6y=24[/tex]

See below for graph.

Step-by-step explanation:

A total of 24 people need to be transported.

Let x represent the number of Uber compact cars.

And let y represent the number of SUVs.

So, the number of people that can be picked up by x compact cars is 4x.

And the number of people that can be picked up by y SUVs is 6y.

And the total is 24 people. So, the two terms must total 24. So, we can write:

[tex]4x+6y=24[/tex]

We can convert this to slope-intercept form. First, we can divide everything by  2:

[tex]2x+3y=12[/tex]

Subtracting 2x from both sides yields:

[tex]3x=-2x+12[/tex]

Finally, dividing both sides by 3 yields our linear equation:

[tex]\displaystyle y=-\frac{2}{3}x+4[/tex]

Please refer to the below attachment for the graph.

*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.

**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.

A science teacher has 0.4 of seawater she gives each of her 22 tune in a container or a 5ml spoon she asked as soon as you put two spoonfuls old seawater into their container how many millimeters of seawater will be locked after all 22 minutes of fill their containers

Answers

Answer:

the photo is the answer

Find the slope of a line that goes through the points (-5,8) and (-7,-5)

Answers

Answer:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add:                      [tex]m=\frac{-13}{-2}[/tex]Simplify:                               [tex]m=\frac{13}{2}[/tex]

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

ANSWER PLEASE !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

62 degrees

Step-by-step explanation:

First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=

58+4=

62 degrees

-3(4x2)-2x please also show your work

Answers

Answer:

-24 - 2x

Step-by-step explanation:

-3(4x2)-2x

-3(8) - 2x

-24 - 2x

Fred added 5 fish to his fish tank and then decided to give half away to his sister. He had 12 fish remaining. How many fish were in the fish tank originally?

Answers

Answer:

19 because i used a calculatorrrrrrr

find the value of x

Answers

x=8 i believe , if not lmk

Please help me im very depressed and im struggling a lot on my math and i really need some answers

Which sequence shows the numbers in order from least to greatest?

Answers

c is the best answer c c c c c c c c c c c c.

What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of pp pennies and dd dimes?

Answers

Answer:

17 cents

Step-by-step explanation:

what is pp and dd tho

Penny is one cent

Dime is ten cents

1 pp = $0.01

1 dd = $0.10

2 pp = $0.02

3 dd = $0.30

2 pennies and 3 dimes is equal to $0.32 in dollar value.

Sara is saving her summer earning for a $500 school trip in the fall. She has $200 in her savings account at the beginning of June. Each week, Sara deposits $35 into her savings account. Sara wants to know how many weeks she needs to deposit her money?

Answers

Make an equation
500 = 200 + 35w
Subtract 200
300 = 35w, w = 8.57
Sara needs around 9 weeks

5a + 12d - 19a -11d -a

Answers

Answer:

-15a+d

Step-by-step explanation:

5a-20a+12d-11d

-15a+d

Is 5a+d I hope it helps

A company sells two sizes of rugs. A small rug sells for $14.00 and a medium-size rug sells for $25.00. The company sold 80 rugs last month and had $1340 in sales. Let x equal small rugs and y equal medium rugs. Which of the following system of equations can be used to determine how many of each type of rug was sold? (5 points)

A 40x + 40y = 80
14x + 25y = 1340

B x + y = 80
14x + 25y = 1340

C x + y = 39
11x + 15y = 80

D x + y = 80
40x + 40y = 1340​

Answers

Answer:

c

Step-by-step explanation:

Please help will give Brainliest, 5 stars and Thanks!

Answers

0.08L=80mL
8000mL=8L
0.8L=800mL
80mL=0.08L

Multiple choice question: A square mosaic is made of small glass squares. If there are 196 small squares
in the mosaic, how many are along one edge? Image is of a mosaic, not the
problem. *
O 14 squares
O 49 squares
O 98 squares
O 16 squares

Answers

Answer:

14 squares

Step-by-step explanation:

1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares

2. Area is L×W, so in this case A×A=196

3. We can test this by replacing A with 14 and seeing if the answer is correct.

4. 14×14=196 is true

This can also be done by finding the square root of 196.

How many sides does the polygon measures 160 degrees how many sides does the polygon have???

Answers

Answer:

18 sides

Step-by-step explanation:

I'm not sure what the question is, but this is what I think the question is.

"An interior angle of a regular polygon measures 160 degrees. How many sides does the polygon have?"

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

If the polygon is a regular polygon, then the measure of each interior angle is

(n - 2)180/n

Here, we are told an interior angle measures 160 deg.

(n - 2)180/n = 160

(n - 2)180 = 160n

(n - 2)18 = 16n

(n - 2)9 = 8n

9n - 18 = 8n

n = 18

Answer: 18 sides

18 sides. The person above explained it

What is the sign of the product (8)(−23)( −21)(−29)?

A) Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive

B)Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive

C)Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative

D)Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number

Answers

Answer:

D) Negative, because the product(8)(-23) is negative and the product of (-21)(-29) is positive, and the product of a negative number and a positive number is negative number

I need help with this pls anybody if u know these pls help

Answers

Answer: Please give me brainliest?

4: B

5: B

6: H (12)

8: C (3,-6)

7: 120

Step-by-step explanation:

6.

6x-6=3x+30

3x=36

x=12

7. 7x-6=5x+30

2x=36

x=18

5 x 18 = 90 +30 = 120

Which graph represents the equation y=−32x−3?

Answers

Answer:

Step-by-step explanation:

So first you do y=z and1+2=3 so 6=y=-0 is your answer :)

Tyra has 12 2/3 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 2/3 ÷ r can be used to find how many batches Tyra can make with the sugar she has. If r is 2/3 cup, how many batches of cookies can Tyra make? Enter your answer in the box. Quick I need help plz.

Answers

Answer:

19 batches

Step-by-step explanation:

Given that:

Total number of cups of sugar = [tex]12\frac{2}{3}[/tex]

Amount of sugar used in one batch = [tex]r[/tex]

Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.

i.e.

Number of batches = [tex]12\frac{2}{3} \div r[/tex]

Also, if we put the value:

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

We have to find the number of batches of cookies that can be made by Tyra.

Solution:

First of all, let us have a look at the formula to convert the mixed fraction into fractional number.

[tex]a\dfrac{b}{c} = \dfrac{a\times c + b}{c}[/tex]

Therefore,

[tex]12\dfrac{2}{3} = \dfrac{12\times 3 + 2}{3} = \dfrac{38}{3}[/tex]

Number of batches:

[tex]\dfrac{38}{3} \div \dfrac{2}{3}\\\Rightarrow \dfrac{38}{3} \times \dfrac{3}{2}\\\Rightarrow \bold{19}[/tex]

Therefore, 19 batches can be completed.

what is 5.45 x 3.275?

Answers

I got you! The answer is 17.84875 but I suggest rounding it to the nearest hundredth and saying 17.85! I hope this helps and remember that when multiplying decimals, take out the decimal to multiply normally and count all the place values in the decimal spots, go back from the right to the left and then insert your decimal!

Please give brainliest❤️


A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row follows an arithmetic sequence,
how many rows does the theater have?

Answers

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l), where

a is the first terml is the last termn is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

a = 26

∵ The last row has 150 seats

l = 150

∵ The theater seats are 2,816

S[tex]_{n}[/tex] = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = [tex]\frac{n}{2}[/tex](26 + 150)

∴ 2,816 = [tex]\frac{n}{2}[/tex](176)

∴ 2,816 = 88n

→ Divide both sides by 88

32 = n

∵ n represents the number of the rows

The theater has 32 rows

Help Pls I need help look at the picture below

Answers

-(-2) - |(-2)(-3)| ((-2)^0-(-3))
2 - |6| (-1+3)
2-6(2)
2-12
-10

Can someone show me the answer and maybe the work

Answers

Answer:

Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]

Step-by-step explanation:

We need to solve the expression:

[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}[/tex]

We know the exponent rule: [tex](a^n)^m = a^{nm}[/tex]

[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}[/tex]

Now, another exponent rule says that: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}[/tex]

We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

=[tex]\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}[/tex]

So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]

If the polynomial shown below is to be a perfect square trinomial, what
must the value of k be? *
9a2 + ka + 16

Answers

I hope it helps but if not im so sorry

Please help due in 20 mins

Answers

Answer:

1. -.005

2.-1/2

3. 0

4. 2

Step-by-step explanation:

if it is negative put positive and if it is positive put negative. for 0 it will always stay the same

A sign in front of a roller coaster says "You must be 40 inches tall to ride."



What percentage of this height is: 26 inches

Answers

Answer:

65%

Step-by-step explanation:

it is 65%

Answer:

10.4 Inches

Step-by-step explanation:

26% * 40 = 10.4

Buddy painted (1/5) of the 320 nutcrackers.How many nutcrackers did buddy paint

Answers

Answer:

64

Step-by-step explanation:

Given that,

Buddy painted (1/5) of the 320 nutcrackers.

We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.

[tex]x=\dfrac{1}{5}\times 320\\\\=64[/tex]

Hence, he painted 64 nutcrackers.

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