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bogdanovich [222]
3 years ago
16

Given: mAngleADE = 60° and mAngleCDF = (3x + 15)° Prove: x = 15 3 lines are shown. A line with points E, D, C intersects a line

with points A, D, F at point D. A line extends from point D to point B between angle A D C. Angle F D C is (3 x + 15) degrees and angle E D A is 60 degrees. What is the missing statement and the missing reason in step 5? A 2-column table with 7 rows. Column 1 is labeled statements with the entries measure of angle A D E = 60 degrees and measure of angle C D F = (3 x + 15) degrees, angle A D E and angle C D F are vertical angles, angle A D E is-congruent-to angle C D F, measure of angle A D E = measure of angle C D F, question mark, 45 = 3 x, and, 15 = x. Column 2 is labeled reasons with the entries given, definition of vertical angles, vertical angles congruent, definition of congruency, question mark, subtractive property, division property. Statement: 60 = 3x + 15; Reason: substitution Statement: x = 15; Reason: subtraction property of equality Statement: 60 = 3x + 15; Reason: transitive property Statement: x = 15; Reason: subtraction and division properties of equality
Mathematics
2 answers:
zloy xaker [14]3 years ago
5 0

The answer is:    A) Statement: 60 = 3x + 15; Reason: substitution

just took the quiz. new to brainly so hi!

vovangra [49]3 years ago
4 0

Answer:

Statement: x =15.

Reason: Subtraction and Division properties of equality.

Explanation:

Given:  and  

⇒  

⇒ 60= 3x+15 or

Subtraction property of equality: Subtract the same number from both sides of an equation.

Subtract 15 from both sides of an equation;

 or

45=3x

Division property of equality: Divide the same number from both sides of an equation;

Divide by 3 from both sides of an equation, we have

Simplify:

x=15        Hence proved!

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I am never able to do these, their so confusing yet SO easy- please help!
jolli1 [7]

Answer:

a) independent: area to be painted in sq ft

dependent: amount of paint needed in gallons

b) independent: amount of milligrams

dependent: amount of sleep

Step-by-step explanation:

Easy tip to remember that is almost always right:

Your X variable is always independent, and your Y variable is always dependent.

If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"

Which variable depends on your other variable? Would help you find your dependent variable.

It makes sense that, the number of paint you need depends on how much sq ft you are painting.

8 0
3 years ago
Read 2 more answers
If sin(2x - 1) = cos(11), what is x?
Sever21 [200]

Answer:

x = 40 + 180 n , 51 + 180 n , for any integer  n

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
3 years ago
Please help 40 points
Natasha2012 [34]

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

4 0
3 years ago
Solve for t. t + 19 = 45) it will give u 29 points if u help me!
Oksi-84 [34.3K]

Hi there!

<u><em>Answer:</em></u>

<u><em>t=26</em></u>

<u><em>*The answer must have a positive sign.*</em></u>

Step-by-step explanation:

First, you subtract by 19 from both sides of an equation.

t+19-19=45-19

Then, you subtract by the numbers from left too right.

45-19=26

<u><em>Final answer is t=26</em></u>

I hope this helps you!

Have a nice day! :)

-Charlie

:D

8 0
4 years ago
Lacey walks at a speed of 2.5 miles per hour which equation models this unit rate
Ahat [919]

Answer:

r=2.5x

Step-by-step explanation:

7 0
3 years ago
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