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

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

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:

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.

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

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.

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.

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.

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.

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.

Answer:

the photo is the answer

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.

Answer:

65%

Step-by-step explanation:

it is 65%

Answer:

10.4 Inches

Step-by-step explanation:

26% * 40 = 10.4

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

∵ 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

Answer:

c

Step-by-step explanation:

Answer:

19 because i used a calculatorrrrrrr

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

Answer:

-24 - 2x

Step-by-step explanation:

-3(4x2)-2x

-3(8) - 2x

-24 - 2x

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]

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

Answer:

-15a+d

Step-by-step explanation:

5a-20a+12d-11d

-15a+d

Answer:

Step-by-step explanation:

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

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

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

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