Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

Answer:

Step-by-step explanation:

An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)

vertex (4, -6) means  h = 4  and k = - 6

So:

     y = 1(x - 4)² + (-6)

    y = (x - 4)² - 6

Answer:

520 full days.

Step-by-step explanation:

Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.

I hope this helps:)

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

Answer:

The 4th and 6th

Step-by-step explanation:

I think the answer is D

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight  line with a gentle positive slope of 0.2.

Answer:

2(3x)+2(2x+22)+x+41=360°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have

Answer:

The ratio of miles to gallons for Car A is  

✔ 224

/8.

The ratio of miles to gallon for Car D is  

✔ 184

/8.

The ratio for Car A is  

✔ greater than

the ratio for Car D.

Step-by-step explanation:

Answer:

Midnight will eat 1 more cup of dog food per day than Rusty.

Step-by-step explanation:

Rusty:

Midnight eats 28 cups / 7 days = 4 cups of dog food per day.

Midnight will eat 4 - 3 = 1 more cup of dog food per day than Rusty.

Answer:

The answer is C, hope that helps:)

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

Answer:

67 and -1

Step-by-step explanation:

You always multiply first so its 7+64-4 and that becomes 67

You have to distribute first so the problem would be 5-21+15   which is -1

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

Answer:whats the question?????

Step-by-step explanation:

Answer:

9 degrees

Step-by-step explanation:

The temperatire was -3 and then rose by 12, -3 + 12 = 9

Answer:

lol girl i have this one too and im trying to do cuz no one cam to help me so im going to try and then i will see if i help you

Step-by-step explanation:

Answer:

just add thos and then put then to geter and you get 3x+1^2

Step-by-step explanation:

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

Answer:

I used a math calculator by a math calculator service

Step-by-step explanation:

Answer:

x = 6

x = -5

Step-by-step explanation:

Solving (1)

5x - 4 = 3x + 8

Bring variables to one side

5x - 3x = 8 + 4

The result is

2x = 12

Solve for x

½ * 2x = ½ * 12

x = 6

Solving (2)

-4x + 7 = -7x - 8

Bring variables to one side

7x - 4x = -7 - 8

The result is

3x = -15

Solve for x

⅓ * 3x = -15 * ⅓

x = -5

Answer:

x=4

Step-by-step explanation:

Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.

Answer:

A.) x = 4

Step-by-step explanation:

If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:

[tex]\frac {(4+20)} {2} = 12[/tex]  which is equal to 3(4).

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

Answer:

The 2nd one is no symmetry the 1st one is (reflection) last one rotational only

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(n) = n + 10

f(4) = 4 + 10 = 14