In the kite ABCD m ACD=105 and m DAB=100. Find m DCB

Answers

Answer 1
The sum of the interior angles of any polygon can be found by using the following formula: 

180 (n -2), where n is the number of sides of the polygon. 

In this case, we have a 4 sided kite. So, when we plug 4 into our formula, it is re written as such: 

180 (4-2)
= 180 (2)
= 360

So the sum of the interior angles of the kite must equal 360°.

We know from polygon and quadrilateral rules that kites must have one set of congruent opposite angles. To find the sum  of the remaining two angles in this kite, we can determine the difference between 360° and the sum of the non-congruent opposite angles (which is given in the problem). 

The solution is as follows: 

105 + 100 = 205

360 - 205 = 155

Thus, 155 is the sum of the remaining two opposite angles. We know one of these has to 100°, because the kite has to have one set of congruent opposite angles. This means the measure of angle DCB is 55°. 

To check, we can add these two angles together and if we are correct we should get 155. 

100 + 55 = 155. 





Related Questions

How do you work out this question:
Ravi had 237 marbles more than Elliott had. Ravi gave Elliott 165 marbles. Who had more marbles in the end? How many more?

Answers

Ravi had more marbles because if he gave Elliot 165 then you subtract 237-165 which is 72 which means now Ravi has less marbles but he has more then Elliot and now he has 72 marbles more then Elliot

After mathematics calculations, it is determined that Elliott ends up with more marbles than Ravi by 93 marbles after Ravi gives him 165 marbles.

The question involves Ravi and Elliott and the number of marbles they each have initially and after a certain transaction. To solve the problem, we start with the given information:

1. Ravi originally had 237 marbles more than Elliott.

2. Ravi gave Elliott 165 marbles.

Let's denote the number of marbles Elliott had initially as E. According to the information provided, Ravi had E + 237 marbles.

After Ravi gave Elliott 165 marbles, Elliott's new total would be E + 165, and Ravi's new total would be (E + 237) - 165.

Simplifying Ravi's new total, we get E + 237 - 165 = E + 72.

Now we compare both totals:

Elliott's total after receiving marbles: E + 165 Ravi's total after giving marbles: E + 72

Clearly, Elliott now has more marbles than Ravi by 165 - 72 = 93 marbles.

So Elliott has more marbles, and he has 93 more than Ravi once the transaction is completed.

There are 448 reams of paper in thw supply room. Fourteen reams are used each day. At that rate, how many days will the supply of paper last?

Answers

x = number of days that have passed

448 = 14x

divide both sides by 14

32 = x
448 divided by 14 is 32 so 32 days

Julio is in Colorado exploring part of the Denver Zoo as shown he starts at the felines exhibit and travels 3 unit to the right and 5 units up at which exhibit is Julio located at the felines exhibit is located at (3,1) what are the coordinates of Julio's new location

Answers

Starting with his original coordinates (3, 1), going 3 units right gives us (3+3, 1) = (6, 1).  Going 5 units up then gives us (6, 1+5) = (6, 6) for his new location.
Final answer:

To find Julio's new location at the Denver Zoo, we add his horizontal and vertical movements to his starting coordinates. After moving 3 units to the right and 5 units up from the felines exhibit at (3,1), Julio's new location is at coordinates (6,6).

Explanation:

The student is asking about a basic coordinate geometry problem. Julio is at the felines exhibit at coordinates (3,1). To find Julio's new location after traveling 3 units to the right and 5 units up, we add the horizontal and vertical movements to his starting coordinates.

The movement to the right corresponds to an increase in the x-coordinate, while the movement up corresponds to an increase in the y-coordinate. Starting from the point (3,1), moving 3 units to the right means the x-coordinate changes from 3 to 3 + 3 = 6. Moving 5 units up means the y-coordinate changes from 1 to 1 + 5 = 6. Thus, Julio's new coordinates are (6,6).

What does an r value of −1 represent in correlation?

Answers

It means the scatter plot is a line with negative slope. The relation is perfectly described by a linear equation.

write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9

Answers

3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form

please help! ill give you brainliest

Answers

we can use AA~ (angle angle similarity, which means if two pairs of corresponding angles are congruent, then the triangles are similar)

for the first set of angles, angle R and angle PQS are congruent because they're both 30 degrees

for the second pair, angle QPR can count for both triangles because both triangles share this angle, so it'll be congruent

Can you help me solve this because i am stuck on this problem. Thx

Answers

so 2.5 os to 50, aka 2.5:50
divide each side by 2.5 to get the answer.
if you dont have a calculator, divide each side by 5 to get .5:10, multiply by 2 to get 1:20
To solve this problem simply set up a fraction of a ratio with the 2 numbers.

Then make a new fraction and place the unknown as the variable, here it is x minutes

2.5 miles/50 minutes = 1 mile/ x minutes

X minutes = 50 / 2.5 = 20 minutes.

B is the correct solution.


what is 0.7 divided by 792

Answers

0.7/729 equals 0.00088383838
792/ 0.7= 8.8 I think that the answer.

- What coins would you use to buy a toy for $0.67 ? -- What coins would use to buy a pencil for $0.10? -- What coins would you use to buy a bag of chips for$0.35?

Answers

1-  2 quarters, 1 dime, 1 nickel, 2 pennies
2-  1 dime
3-  1 quarter, 1 dime
$0.67= 2 quarters, 1 dime, 1 nickel, 2 penny
$0.10= 1 dime
$0.30= 1 quarters, 1 nickel

Factor ax^2−ay−bx^2+cy+by−cx^2

Answers

ax^2−ay−bx^2+cy+by−cx^2
[tex]a\left(x^2-y\right)-bx^2+by+cy-cx^2[/tex]
[tex]a\left(x^2-y\right)+b\left(y-x^2\right)+cy-cx^2[/tex]
[tex]\left(x^2-y\right)\left(a-b\right)+cy-cx^2[/tex]
[tex]\left(x^2-y\right)\left(a-b\right)+c\left(y-x^2\right)[/tex]
[tex]\left(x^2-y\right)\left(a-b-c\right)[/tex]

A suit is on sale for $272 , which is 15% less than the regular price. What is the regular price?

Answers

To find the original price of a discounted object, we must use the following equation...

Original Price = Discounted Price * (Discount % + 1)
Original Price = 272*(1 + 0.15) = $312.80

Therefore, the original price is $312.80

Find the percent markdown rounded to the nearest percent

Answers

You are going to find the different of the new price from the old price . 175.90-153.77=22.13

then you divide the difference by the new prince 22.13/153.77= 0.1439

you are you to multiple the decimal by 100

Your answer is going to be 14.39 
Your estimate can be 14%

An author is paid $500 as an advance on their book plus an additional $4 for every book sold. If the author earns $880, how many books has he or she sold?

Answers

x will stand for every extra book sold

880 = 4x + 500
subtract 500 from both sides

380 = 4x
divide both sides by 4

x = 95
they sold 95 books

4 spoons and 3 forks cost $15 4 spoons and 1 fork cost $13 how many do the forks cost?

Answers

Let's say that s=spoons and f=forks. 

According to this, we can say that:

{4s+3f=15
{4s+f=13

This is a system. 

We can then use elimination to solve and isolate the variable:
(4s-3f=15)
- (4s+f=13)

We can then subtract and conclude that:
-4f=2
-f=1/2
f=-1/2

Carl buy songs and download them to his computer. the bar graph shows the numbers of each type of song he downloaded last year. what total numbers of song Carl’s downloaded last year?

Answers

Carl downloaded 50 songs last year

Answer:

50 songs

Step-by-step explanation:

To know how many songs he downloaded of each type, we just need to see where each bar stops and see the number that is just below.

Carl downloaded 15 songs of country music, 20 of rock, 5 of classical and 10 of world.

If we want to know the total of songs, we just need to sum them all:

15 + 20 + 5 + 10 = 50

He downloaded 50 songs last year.

Find (2 × 104) − (3 × 103). A) 1.07 × 103 B) 1.07 × 104 C) 1.7 × 103 D) 1.7 × 104

Answers

[tex]2 \times 10^{4} - 3 \times 10^{3} = 2 \times 10^{4} -0.3 \times 10^{4} = (2.0 -0.3) \times 10^{4} = 1.7 \times 10^{4}[/tex]

Selection D is appropriate.
2 * 104 = 208

3 * 103 = 309 


208 - 309 = -101

Your answer is -101


Hope I helped!

Let me know if you need anything else!

~ Zoe

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?
15y3 + 17y2 + 22y + 15 6y3 + 17y2 + 22y + 15 6y3 + 20y2 + 22y + 15 6y3 + 17y2 + 22y + 25

Answers

The awnser is :
6y^3 + 17y^2 + 22y + 15
Hope it helps

Answer:  [tex]6y^3 + 17y^2 + 22y + 15[/tex]

Step-by-step explanation:

Here, the given expression, [tex](2y+3). (3y^2+4y+5)[/tex]

By applying distribution property in second bracket,

=  [tex]3y^2(2y+3)+4y(2y+3)+5(2y+3)[/tex]

=  [tex]6y^3+9y^2+8y^2 +12y+10y+15[/tex] ( again by applying distributive property)

= [tex]6y^3+17y^2 +22y+15[/tex]  ( by adding like terms)

Thus, [tex](2y+3). (3y^2+4y+5)[/tex]= [tex]6y^3+17y^2 +22y+15[/tex]


PLEASE HELP PLEASEEEEEEEEE

Problem Nell's mom makes chocolate milk with 30mL of chocolate syrup for every 2 ounces of milk. Nell's dad adds 65mL of chocolate syrup for every 5 ounces of milk. Whose chocolate milk is more chocolatey?

a- Nell's Mom
b-Nell's Dad
c- They're both equally chocolately

12 POINTSS

Answers

Nell's mom: 30 mL for 2 ounces = 15 mL for 1 ounce

Nell's dad: 65 mL for 5 ounces = 13 mL for 1 ounce

15 > 13
Therefore, Nell's mom's chocolate milk is more chocolately.

Answer:

(A) Nell's mom

Step-by-step explanation:

It is given that Nell's mom makes chocolate milk with 30mL of chocolate syrup for every 2 ounces of milk.

⇒For 1 ounce of milk, she will make chocolate milk=[tex]\frac{30}{2}=15mL[/tex]

Also, it is given that Nell's dad adds 65mL of chocolate syrup for every 5 ounces of milk.

⇒For 1 ounce of milk, he will make chocolate milk=[tex]\frac{65}{5}=13mL[/tex]

Since, Nell's mom made 15mL of chocolate milk and his dad made 13mL of chocolate milk, thus Nell's mom made chocolate milk more chocolatey.

Hence, option A is correct.

In the net of a rectangular prism, each square of the grid is 1 square meter. What is the surface area of the prism?

Answers

Answer:

Step-by-step explanation:

172

Answer:

172   is your answer

Step-by-step explanation:

the town of lantana needs $14,000 for a new playground. lantana elementary school raised $5358 lantana middle school raised $2834 and lantana high school raised 4132.
about how much more money do they need to raise?

Answers

Total money needed = $14,000
Total money collected = $5358+$2834+4132 = $12324

Additional money needed = Total money - Money collected

=> $14,000 - $12,324
=> $1,676

So they need $1676 more money to be collected

How is the following decimal number read?

28.9


A. Twenty and eight-nine tenths

B. Twenty-eight and nine hundredths

C. Twenty-eight and nine tenths

D. Twenty-eight nine

Answers

Answer:
C) twenty-eight and nine tenths

Explanation:
We have two parts here, the whole number and the decimal part.

1- for the whole number, it is read normally as counting numbers. Therefore, 28 is read as twenty-eight
2- for the decimal part, it is read based on the place-value of the number. We know that the first number after the decimal point is in the tenth position. This means that 0.9 is read as nine tenths

Combining the two, we would conclude that 28.9 is read as twenty-eight and nine tenths

Hope this helps :)

Answer:

C. Twenty-eight and nine tenths.

Step-by-step explanation:  

We have been given a decimal number [tex]28.9[/tex]. We are asked to choose the correct option that represents how to read our given decimal number.

Upon looking at our given decimal number we can see that it has one digit at tenth place that is 9, which represents that our number has 9 tenths.  

The two digits before decimal are 2 (tens place) and 8 (ones place). These digits make 28.

Therefore, the given decimal number could be read as twenty-eight and nine tenths and option C is the correct choice.

Ben works part time in a warehouse . His boss is going to send one employee home early . Of his 56 employees 21 are part time . If the boss picks one employee at random what are the chances it will be a part time emplyee sent home ?

Answers

21/56 is the chances of him being sent home early

Ben believes that most of the automobiles in his neighborhood are SUVs. He does a house-to-house survey of parked cars. He surveys 45 cars and only 8 of the cars he finds are SUVs. Yet fully 50% of the town’s automobiles are SUVs. What is the MOST LIKELY explanation for these two facts? A) Ben’s sample is too small to be representative of the entire town. B) SUVs are sometimes hard to distinguish from non-SUVs and Ben made errors. C) Most of the SUVs were on the road, and less popular models were left at home. D) Ben only looked at parked cars instead of asking residents what kind of car they drive.

Answers

I had this question last year I believe it's C but not 100% sure.

Answer:

It’s A Guys!

Step-by-step explanation:

All of the explanations are possible, but surveys need to be done in a way which results in a representative sample. Ben’s sample was not representative of the entire town.

He only asked in his neighborhood not in his whole town. C just doesn’t make sense. B is highly unlikely mathematically speaking, and D was kind of illogical. I thought of picking D, but comparing the two, A was the better answer.

Use a protractor to find the measure of each angle in the circle

Answers

You need to show us the circle in order to let us answer the question.

A snail moves 1/40 of a mile in 3/4 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?
The answer is .03 or 1/30 but, Idk how to explain my answer.

Answers

1/40 ÷ 3/4 = 1/40 ÷ 4/3 = 4/120 = 1/30

A snail moves 1/40 of a mile in 3/4 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?

In [tex] \frac{3}{4} [/tex] hour snail moves [tex] \frac{1}{40} [/tex]miles

[tex] \frac{3}{4} hour = \frac{1}{40} [/tex] miles

Let us multiply by 4 on both sides, so that we can get the distance to be traveled in 1 hour.

So, [tex] \frac{3*4}{4} hour=\frac{1*4}{40} [/tex] miles

[tex] \frac{3*1}{1} hour=\frac{4}{40} [/tex] miles

Now to get distance in 1 hour, Let us divide by 3 on both sides

[tex] \frac{3}{3} hour=\frac{1}{10*3} [/tex] miles

[tex] \frac{1}{1} hour=\frac{1}{30} [/tex] miles

In 1 hour, the snail travels [tex] \frac{1}{30} [/tex]miles

68 is decrease by 15%

Answers

15% of 68 = 10.2

68 - 10.2 = 57.8


68 decreased by 15% is 57.8

The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to make small deposits for 5 years at a simple interest rate of 1.5% and save enough to pay for the first year at the college.

I only want verified answers
pls dont answer if you dont know or you are not an expert

Answers

simple interest rate for one year = 1.5%
simple interest rate over 5 years = 1.5 x 5 = 7.5%

100% + 7.5% = 107.5%
107.5% = $19500
1% = 181.3953
100% = $18140.50

He needs to put in $18140.50 so that he can get $19,500 at the end of 5 years. 

Jesse takes his dog and cat for their annual vet visit.Jesse's dog weighs 23 pounds.The vet tells him his cat's weight is 5/8 as much as his dog's weight.How much does his cat weigh?

Answers

If I’m not mistaken the cats weight is 14.4

Last week, Mr. Thomas rode his bike 49 miles. This week, Mr. Thomas rode his bike 14 miles less than he did last week. Part A. Mr. Thomas rode the same distance each of the 7 days this week. Write an equation to find the number of miles, m, he rode each day. Part B. How many miles did Mr. Thomas ride each day? Part C. Mr. Thomas says his goal is to ride a total of 125 miles by the end of next week. He estimates that he needs to ride about 40 miles next week to meet his goal. Is his estimate reasonable? Explain why or why not.

Answers

Part A
49-14 = 35 
35/7 = 5 

Part B
5 miles each day

Part C
49+35 = 84 
84+40 = 124, which is a good estimate and it is reasonable

Kerry drove 312 miles on 11 gallons of gas. She had 175 miles left to complete her trip. How many more gallons of gas would she need?

Answers

312/11= 28.36363*175 =6.17 gallons
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