Mathematics College

In the diagram, ABCD is a parallelogram. The
diagonals of the parallelogram intersect at point T.
HELP

In The Diagram, ABCD Is A Parallelogram. Thediagonals Of The Parallelogram Intersect At Point T.HELP

Answers

Answer 1

Answer:

A. 100 degrees

Step-by-step explanation:

Given:

[tex] m\angle ABC = 3y + 5 [/tex]

[tex] m\angle ADC = 5y - 45 [/tex]

Required:

[tex] m\angle BCD [/tex]

SOLUTION:

✍️First, create an equation that you will use to find the value of y.

[tex] m\angle ABC = m\angle ADC [/tex] (opposite angles of a parallelogram are congruent to each other)

[tex] 3y + 5 = 5y - 45 [/tex] (substitution)

Collect like terms

[tex] 3y - 5y = -5 - 45 [/tex]

[tex] -2y = -50 [/tex]

Divide both sides by -2

[tex] y = 25 [/tex]

✍️Next, find [tex] m\angle ABC [/tex] and [tex] m\angle ADC [/tex].

[tex] m\angle ABC = 3y + 5 [/tex]

Plug in the value of y

[tex] m\angle ABC = 3(25) + 5 = 75 + 5 = 80 [/tex]

[tex] m\angle ADC = 5y - 45 [/tex]

Plug in the value of y

[tex] m\angle ADC = 5(25) - 45 = 125 - 45 = 80 [/tex]

✍️Next, find [tex] m\angle BCD [/tex].

[tex] m\angle BCD + m\angle ADC = 180 [/tex] (consecutive angles in a parallelogram are supplementary)

[tex] m\angle BCD + 80 = 180 [/tex] (substitution)

Subtract 80 from each side

[tex] m\angle BCD = 180 - 80 [/tex]

✅[tex] m\angle BCD = 100 [/tex]

Related Questions

7 times a number is the same as 1 more than 3 times the number. What is the number?

Answers

Answer:

7n=12+3n

Step-by-step explanation:

7n = 3n+1

n=1/4 or 0.25

a number is chosen at random from 1 to 25 find the probability of selecting a composite number ​

Answers

Answer:

0.6

Step-by-step explanation:

probability of choosing a composite number, since all composite numbers from 12 are, 2,4,6,8,10,12 (might have left some out) but those are 6 chances you can pick a composite number :)

Skew lines are parallel.

Answers

Yes i am pretty sure

Given a:b and b:c, find a:b:c. Write the ratio in simplest form. a:b=10:25 and b:c=45:27

Answers

Answer:

a:b:c=2:5:3

Step-by-step explanation:

a:b=10:25

a:b=2:5(divided by 5)

b:c=45:27

b:c=5:3(divided by 9)

a:b:c=2:5:3

Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn + 1 agree to three digits after the decimal point.

Answers

Solution :

Given

[tex]$f(x)=x^3-x-1, x_1=1$[/tex]

[tex]$f'(x)=3x^2-1$[/tex]

Let the initial approximation is [tex]$x_1 =1$[/tex]

So by Newton's method, we get

[tex]$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$[/tex]

[tex]$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$[/tex]

[tex]$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$[/tex]

[tex]$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$[/tex]

[tex]$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$[/tex]

[tex]$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$[/tex]

[tex]$x_5 \approx x_6$[/tex] are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

6. Place your work for both Part A and B in the space provided.
Part A: Select the option that best fits the scenario.
Gloria earned $400. She needed $320 for a new Chromebook.
What percent of the amount earned is the amount needed?
Which is the correct expression of this situation? (a or b)
a) 400 is what percent of 320?
b) 320 is what percent of 400?
Part B: Show your work to find the percent.

Answers

9514 1404 393

Answer:

  A:  (b) 320 is what percent of 400

  B:  80%

Step-by-step explanation:

Part A:

This is a reading comprehension question. You are told that ...

  $320 is the amount needed

  $400 is the amount earned

and you are asked to find ...

  what percent of the amount earned is the amount needed?

The question can be rephrased as ...

  the amount needed is what percent of the amount earned?

Filling in the amounts you are told, the rephrased question becomes ...

  $320 is what percent of $400 . . . . . matches choice (b)

__

Part B:

If we let x represent "what percent", then we can write the above question as ...

  320 = x · 400

Dividing by 400 gives ...

  320/400 = x = 0.80 = 80%

That is, 320 is 80% of 400.

67 lbs is how many ounces? Round to the nearest tenth. 1 pound (lb) = 16 ounces (oz)
Your answer

Answers

Answer:

1070 ounces

Step-by-step explanation:

1. Which monomial has the highest
degree?
A 18a5
B 12ab
C 9ab
D 6abaca

Answers

Question:Which monomial has the highest degree?                                                                                                                           Answer:

The sum of the exponents of the variables in the monomial. This must be positive and cannot be a fraction or decimal.                                                         i think A 18a5 is the answer please do tell me if i am wrong it took me a bit to get this answer have a nice weekend

Allyson walked 10.8 km to the school. If 1 mile = 1.6 km, about how many miles did she walk?

Answers

Answer:

According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.

Step-by-step explanation:

Answer:

6.75 miles

Step-by-step explanation:

1.6 km = 1 mile

   1 km = 1/1.6  mile

10.8 km = [tex]\frac{1}{1.6}*10.8[/tex]

             = 6.75 miles

How many different choices are possible?

Answers

Answer:

11628

Step-by-step explanation:

explanation I do not know

HELP IM TIME
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?

Answers

Explanation:
We already have phone A 5.3 cm
We just need to find phone B

First we need to find what one-third is as a decimal

Which is 0.3

Now add 0.3 to 5

0.3 + 5 = 5.3

Answer: neither phone a and Phone be 05.3 cm

Answer:

Screen B is wider, because 5 and one-third is greater than 5.3..

Step-by-step explanation:

Got it correct on edge

is (-1,5), (-2,6), (-3,7) a function

Answers

no!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

If gas is $2.50 per gallon, and John drives a car that goes 20 miles per gallon, how much gas would it cost if John drove 60 miles?

Answers

Answer:

$7.50

Step-by-step explanation:

Answer: 7.50

Step-by-step explanation: 20 can go into 60 3 times so 2.50X3 =7.50

Answer these 2, i need help badly
What is 25 percent of 200?
What is 50 percent of 600?

Answers

Answer:

Step-by-step explanation:

50,300

Answer:

1. 50, 2. 300

Step-by-step explanation:

For 25 of 200, we can duplicate 100 and 25, which would turn out to be 50 and 200.

For 50 and 600, we can divide 600 by 2 to get 50 percent of it.

Answers:

25 of 200 = 50

50 of 600 = 300

Marta’s customer bought 4 large oranges at $0.75 each and 8 small oranges at $0.50 each plus tax was a total of $7.49. She used t to represent the amount of tax. Explain her errors in the diagram.

A bar diagram. The top box contains t. The bottom 3 boxes contain 7.49, 0.75 (8), and 0.50 (4).

Answers

Answer:

T should not have been in the top box the top box should have had 7.49 in it

Answer:

The total, 7.49, should be the top bar, and the variable, t, should be one of the partial bars. The prices for a certain number of oranges is also incorrect. $0.75 should be multiplied by 4 and $0.50 multiplied by 8.

Step-by-step explanation:

It costs $3.45 to buy 3/4 pounds of chopped walnuts. How much would it cost to purchase 7.5 pounds of walnuts? Explain your reasoning

Answers

3/4=.75
7.5/.75= 10
3.45*10=34.5
answer is $34.5

Find the x-intercept of 4x−2y=8

Answers

Answer:

(2,0)

Step-by-step explanation:

Which inequality represents all the values of x for 46 < -6( x − 18) ?

Answers

Answer:

69

Step-by-step explanation:

because it is jjujujujujuj

Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.5 miles she bikes. If Emily bikes 8 miles, how much will her mother donate?

Answers

Answer:

4.80

Step-by-step explanation:

Answer:

Her mother will donate $4.80

Step-by-step explanation:

Divide the number of miles she rode by 0.5 miles. Then multiply it by $0.30.

Leigh and Sara paid $1,178 last month to rent their apartment. Last month had 31 days. They divide to find out how much they paid per day. ?​

Answers

Answer:

Step-by-step explanation:

Divide 1178 by 2 will equal 589

This is how much each will pay per month

589 divided by 31 = 19 dollars a day per person

Answer: first quoitent is  31 second quotent is 6



Step-by-step explanation:

divide 1,178 with 31 so thats how you get your answer

a = 4 and b = 2
whoever answers first gets brainliest and 50 points

Answers

Answer:

14

Step-by-step explanation:

https://brainly.com/question/add?entry=1642&task_content=MS.+Donaldson+earn+%2418.80+for+the+first+40+hours+she+work+I+a+week+she+earns+1+y+medio+times+amount+per+hour+for+each+hour+beyond+40+hours+in+a+week+last+week+Ms.+Donaldson+worked+45.5+hours+how+much+money+did+she+earn

Answers

I have no clue what u just said , my eyes hurt I can’t read this sorry
What is this???The heck dude

What is n+2<6 please I need this very much.

XC

Answers

Answer:

n<4

Step-by-step explanation:

n+2<6

Subtract 2 on both side

n+2<6

 -2  -2

n<4

It says choose all of the multiple choice answers that are true about the diagram

Answers

Answer:

C. and E.

Step-by-step explanation:

Complimentary angles are two angles that both measures create the same degree as a right angle, or 90 degrees

Looking at the graph, we see 1 right angle, which is 9. Therefore we can cross out any answer that includes <9 in it.

Let's look at 7, this is an obtuse angle, WAY more than 90 degrees, therefore we can cross out any answer that includes <7 in it.

Meaning we only have three exceptable degrees, <6, <5, and <8.

There are only 2 answers that follow these rules. C and E

Re-write the quadratic function below in Standard Form
y = -5(x - 4) 2squared+ 5

Answers

Answer:

Step-by-step explanation:

Just to get points

Sam completed a race that is 7 kilometers long. Which distance is closest to the number of miles Sam ran?

Answers

Answer:

Sam ran around 4.3 miles.

around 4.35 miles my guy

Four time the sum of twice a number and six is thirty-two find the number

Help please (:

Answers

Answer:

yes the answer is 8.

Step-by-step explanation:

Please answer 200 points with brainleist

Answers

Answer:

The slope of the following relationship is proportional. Rhoda can show that the line is constant by emphasizing how the line is straight and connects with (0,0)

a. True

b. False

c. False

d. True

Step-by-step explanation:

I'm not completely sure about my answers but I really tried Hope I helped a little bit. :)

Have a great day :)

Answer:

It is following

Step-by-step explanation:

That she spends more money every time because she keeps using the minutes

True or false question please help :)

Answers

Answer:

True

Step-by-step explanation:

:D

Mallory bought 6.2 yards of fabric. How many feet of fabric did she buy? (1 yard= 3 feet) ​

Answers

Multiply total yards by 3

6.2 yards x 3 = 18.6 feet

Answer:

18.6 , if wrong correct me

Step-by-step explanation:

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