ABCD is a parallelogram. What is the measure of ∠ACD?

ABCD Is A Parallelogram. What Is The Measure Of ACD?

Answers

Answer 1

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°


Related Questions

Your brother is 15 your age. Your sister is 7 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.

Answers

Answer:

a = 19a = 15 + b

Step-by-step explanation:

Given:

a = b + 15 (a = my age; b = my brother's age)s = b + 7 (a = my age; s = my sister's age)s = 11 (s = my sister's age)

s = b + 7

=> 11 = b + 7

=> b = 4

a = 15 + b

=> a = 15 + 4

=> a = 19

Therefore, the equation is 'a = 15 + 4' and the answer is 'a = 19'.

Hoped this helped.

I apologize if this was incorrect or un-helpful.

My age be xBrothers age is y+15Sister's age be z

So

z=y+7

As z=11

[tex]\\ \rm\Rrightarrow y+7=11[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

My age=

x=y+15x=4+15=19years

Calculate the amount of dextrose in 756 mL D10W

Answers

D10W has a concentration 10%

So

Dextrose amount=

[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]

[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]

[tex]\\ \sf\Rrightarrow 75.6ml[/tex]

) f) 1 + cot²a = cosec²a​

Answers

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]

Another identity is:

[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]

Therefore:

[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]

Another identity:

[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]

Therefore:

[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]

Hence proved, this is proof by using identity helping to find the specific identity.

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50

Answers

Answer    g

Step-by-step explanation:

g

Answer:

don't know i tell true

Step-by-step explanation:

What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.

Answers

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(6-8)

m=(2+4)/-2

m=6/-2

m=-3

Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?

Answers

Answer:

$1.90

10xx+25yy cents

Step-by-step explanation:

9 dimes (10 cents each) = 90 cents = 0.9 dollars

4 quarters (25 cents each) = 100 cents = 1 dollar

Making $1.90

xx dimes (10 cents each) = 10xx cents

yy quarters (25 cents each) = 25yy cents

Making 10xx+25yy cents in total I believe..

Hope this helps :)

Evaluate the expression for u = -15.
-2(-12 – u) =

Answers

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

u = -15

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6

What is the length of DE?
А. 8
В. 7
С. 6
D. 5

Answers

I think your best shot is 6

Which of the following is the best definition of vertical angles?

Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.

Answers

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

The fraction Three-tenths is the difference of Eight-tenths and which fraction?

Answers

Answer:

[tex]\frac{11}{10}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]

so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]

since all the denominators are the same we simply add the numerators to find x

x would be 8 +3 = 11

so [tex]\frac{11}{10}[/tex] is the answer

A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?

B. In two or more complete sentences, justify your answer to A.

Answers

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?

Answers

Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?

Answers

Yeah sure I’d love to help do you have a picture that I can? Also love your pfp lol

what is the greatest common factor for 228/252​

Answers

Answer:

i got 47/88

Step-by-step explanation:

Divide each number by two

Will give brainliest!

Answers

Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4

Which is equivalent to 243 Superscript two-fifths?

3
6
9
12

Answers

Answer:

The answer is 9 ( C on edge)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

C on edge

I took the test

Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not​ work, does that mean that your result is​ incorrect? Explain.

Answers

Answer:

g=6

Step-by-step explanation:

6.4×6-1.4×6=

38.4-8.4=30

its true if it is not the result is incorrect

How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?

Answers

Answer:

You would be able to afford 9 gallons of gas.

Step-by-step explanation:

34.83 divided by 3.87 is 9. Have a nice day!

a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate

Answers

Answer:

By:Parrain

Step-by-step explanation:

The probability that the selected tile will be green is 0.5.

The probability that a tile will be green can be calculated by the formula:

= Number of green tiles / Total number of tiles

Total number of tiles is:

= 3 + 6 + 3

= 12 tiles

Probability of picking green tile is therefore:

= 6 / 12

= 50%

= 0.50

The probability of picking a green tile is 0.50

Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020

Answers

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

Answer:

-34

Step-by-step explanation:

this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers

1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631

Answers

Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

Solve for X and Y thank u!

Answers

Answer:

I did most of the work 4 u :3

Step-by-step explanation:

Just do the last question

HOPE THIS HELPED :DDDDDDD

110 divided by 4 using area model.

Answers

Answer would be 28…..

The quotient of 110 divided by 4 is 27 with a remainder of 2.

To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.

Draw a rectangle to represent 110.

Divide the rectangle into four equal parts to represent dividing by 4.

Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.

Determine the quotient. Count the number of equal parts, which in this case is 27.

Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

5. What are the solutions to the equation (x - 1)(x + 2) = -2?

Answers

I hope this helps. Comment if any doubt.

There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets?

Answers

There are 450 stickers on the sheet

And 18000 on 40 sheets

hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2 ​

Answers

Hope you could get an idea from here.

Doubt clarification - use comment section.

The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true

The equation is given as:

[tex]\frac pq = \frac qr[/tex]

Cross multiply

[tex]pr = q^2[/tex]

Rewrite as:

[tex]q^2 = pr[/tex]

Also, we have:

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]

Substitute [tex]q^2 = pr[/tex]

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]

Expand

[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]

Simplify

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]

Rewrite as:

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]

Substitute [tex]pr = q^2[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]

Divide q^6 by q^3

[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]

Rewrite the equation as:

[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]

Hence, the equation has been proved

Read more about equations at:

https://brainly.com/question/13729904

Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.

Answers

Answer:She will have:

N = 200 smaller lots

Step-by-step explanation: N = (total acres of land) / (smaller lots of land)

Substituting the values we have:

N = 10 / (1/20)

Rewriting we have:

N = 10 * 20

N = 200 lots

Hey! Please help me ASAP

Answers

Answer:

-d+3.5≥4

Step-by-step explanation:

Just ask.

Hope this helps! :)

Pls answer these questions

Answers

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

Either b or d
Explanation

Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A

Answers

we have: ∠A + ∠B = 90°

<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°

<=> 5x + 20 = 90°

<=> 5x = 70°

<=> x = 14°

So: ∠A = 2x - 14 = 2.14 - 14 = 14°

Ok done. Thank to me :>

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