Select all the lines in the proof of △ABC≅△CDA that have the correct justification. AB || CD and BC || AD, ASA Triangle Congruence Theorem ∠BAC≅∠DCA, Alternate Interior Angles Theorem △ABC≅△CDA, SAS Triangle Congruence Theorem ∠ACB≅∠CAD, Alternate Interior Angles Theorem AC≅AC, Reflexive Property of Congruence

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

[tex]1\ pound = 4\ people[/tex]

[tex]x = 14\ people[/tex]

Cross Multiply

[tex]x * 4 = 1 * 14[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]

Hence, 3.5 pounds for 14 people

Answer:280

Step-by-step explanation:

use formula:a+b/2+h  a=base b=base h=height

Answer:

h = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

0.75h + 3 = 12

Step 2: Solve for h

Step 3: Check

Plug in h into the original equation to verify it's a solution.

Here we see that 12 does indeed equal 12.

∴ h = 12 is a solution of the equation.

Answer:

h = 12

Step-by-step explanation:

Given

0.75h + 3 = 12 ( subtract 3 from both sides )

0.75h = 9 ( isolate h by dividing both sides by 0.75 )

h = 12

Answer:

19 rows.

Step-by-step explanation:

304/16

=19.

Hope this helped!

A circle is divided into 4 parts out of which 2 parts are shaded. The diagram is attached for a better understanding. The fraction equivalent to 'Half' is 'Two-fourths'.

A fraction is part of the whole. It consists of two parts, that are:

1. Numerator: The number at the top of a fraction is called Numerator.

2. Denominator: The number at the bottom of a fraction is called Denominator.

The 'Half' is written in the number system as [tex]\dfrac{1}{2}[/tex].

Let's multiply the numerator and denominator by 2,

[tex]\dfrac{1}{2}= \dfrac{1 \times 2}{2 \times 2} = \dfrac{2}{4}[/tex]

Hence, the factor 'Two-fourths' is equivalent to 'Half'.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

Answer:

6

Step-by-step explanation:

what you do is because you are dividing -4 by -2/3 you have to flip -2/3 to make it -3/2..

so ...

-4/ -2/3 = -4 x -3/2  ( so here you take -2/3 and flip it and multiply by -4)

now all you do is multiply

12/2 you get 6 ! HOPE this helped out alittle

Answer:

All you need to remember is the rules

Step-by-step explanation:

Let us remember

a to the m power x a to the nth power is = a to the m+n power. (add the exponents)

And

a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So

14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power

Answer:

1/2x is m and 3 is b

Step-by-step explanation:

y= 1/2x +3

The formula would be MX+B.

so the slope which is m would be 1/2

and the +3 part would be the y intercept

because it's in the slope intercept form

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

[tex]CBD = ABD[/tex]

and

[tex]CBD + ABD = 90[/tex]

Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]

[tex]CBD + CBD = 90[/tex]

[tex]2CBD = 90[/tex]

Divide both sides by 2

[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]

[tex]CBD = \frac{90}{2}[/tex]

[tex]CBD = 45[/tex]

Hence, it is proved that [tex]CBD = 45[/tex]

Follow the above explanation and use it to answer your question properly

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer:  (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

Answer:

thx

Step-by-step explanation:

really needed them and merry christmas

Answer:

63/48

Step-by-step explanation:

21/4÷12/3

21/4×3/12

63/48.

So the final answer is 63/48

Answer:

1/35

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 feet   1 foot is 12 inches

7*12= 84 inches.

None of the choices are correct.

90 inches is 7.5 feet

62.5 inches is 5.2 feet

75 inches is 6.25 feet

Answer:

counters left = 160

fraction of counters left = 160/400

=2/5

a) how much cheaper = 13 ×(35.43 -15.37)

= 260.78

b) B.underestimate

Answer:

260.78

Step-by-step explanation:

Answer:

Step-by-step explanation:

$ = $75 + $150m

$ = $75 = $150,000,000  ($150m is equal to $150 million)

$ = $150,000,075 (adding $150,000,000 and $75)

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

Answers:

Yes the data can be modeled with a linear equation.

Processing fee = 42 dollars; Daily fee = 102 dollars

Max number of days you can rent house = 11 days

========================================================

Explanation:

Part 1

Let

x = number of days

y = total cost in dollars

Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.

--------------------

Part 2

The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.

You could also use the slope formula with say the first two columns of the table

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

m = (450-246)/(4-2)

m = 204/2

m = 102

This confirms the daily fee is $102.

You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.

Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.

--------------------

Part 3.

Plug in y = 1200 and solve for x

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.3529411764706

x = 11

We round down to the nearest whole number. This way we clear the hurdle.

Note that if x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget

In contrast, plugging in x = 12 leads to

y = 102x+42

y = 102*12+42

y = 1266

which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.

Answer:

nah

Step-by-step explanation:

but search up a tutorial that helps me

|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

Answer:

Y is 4 and slope is 2

Step-by-step explanation:

the red line hits 4 and the sope is the other number that the red line hits which is 2

Answer:

4. (−4, 6), slope −2. eSolutions Manual - Powered by Cognero. Page 1. 4-2 Writing ... 4. (−4, 6), slope −2. SOLUTION: Find the y-intercept. Write the equation in ... Write an equation in slope-intercept form to find the total cost C for p people. b. ... b. Plot points and draw a line through them. c. Solve for G when t = 17.

Answer:

the answer is x ^ 272

Step-by-step explanation:

subtract

Answer:

its B

Step-by-step explanation:

I got 100 on the quiz

Answer:

(c) is the Correct answer of this

Step-by-step explanation:

First divide both sides by 2

then apply (a+b)^2 = a^2+b^2+2ab formula

solve quadratic equation

then apply discriminant formula

Hope you get it dear ☺️

Answer:

15 weeks

Step-by-step explanation:

15 times 20 = 300

300+60=360

15 Weeks

Step-by-step explanation:

You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks

Answer:

Sequence of arithmetic

Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

Answer:

a ball bouncing off a wall

Step-by-step explanation:

Answer:

y=2x + 5 I think it should be