Mathematics High School

Given: ΔABC

Prove: The sum of the interior angle measures of ΔABC is 180°.

1. Let points A, B, and C form a

triangle.

given

2. Let be a line passing

through B, parallel to ,

with angles as labeled.

defining a parallel line and labeling angles

3.

4. m∠1 = m∠4, and

m∠3 = m∠5.

Congruent angles have equal measures.

5. m∠4 + m∠2 + m∠5 = 180°

angle addition and definition of a straight angle

6. m∠1 + m∠2 + m∠3 = 180°

substitution

What is the missing step in this proof?
A.
Statement: ∠4 ≅ ∠5, and ∠1 ≅ ∠3.
Reason: Alternate Interior Angles Theorem

B.
Statement: DE is parallel to AC.

Reason: AB is a transversal cutting DE and AC.

C.
Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5.

Reason: Alternate Interior Angles Theorem

D.
Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5.
Reason: ∠1 and ∠4, and ∠3 and ∠5 are pairs of supplementary angles.

Given: ABCProve: The Sum Of The Interior Angle Measures Of ABC Is 180.1. Let Points A, B, And C Form

Answers

Answer 1

Answer:

Statement: DE is parallel to AC.

Reason: AB is a transversal cutting DE and AC.

Step-by-step explanation:

I'm not 100% sure tho, but DE and AC are parallel

Related Questions

60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?

Answers

Answer:

3/5

Step-by-step explanation:

60% means 60 out of 100. For example if you get 60 marks in an exam of 100 marks. This means you got 60% marks.

Which is 60/100. This fraction can further be reduced to 6/10 [divide both numerator and denominator by 10)

6/10 = 3/5 [divide both numerator and denominator by 2)

So, the reduced form of 60% =3/5

someone pls help me with this question

Answers

Answer:

10 units

Step-by-step explanation:

[tex]4 \times 2.5 = 10[/tex]

Answer:

the answer is 15.4 units

Please help me solve this problem.

Answers

The second option (4,0) and (0,0)

(4,0) and (0,0). the roots are where the parabola meets the x axis.

Please help with these high school geometry circle questions.

Answers

Answer:

I don't know I'm really sorry please don't be angry

and if you want my social media cause your angry I'll give

Please help I am muddled

4a+2f=?

Answers

Answer:

4a+2f

2(2a+f)

Step-by-step explanation:

Welcome, Detective Percent. Recently, there have been many reported scams. After weeks of investigations, you finally tracked down the address of the mastermind. He is an expert in %. He knows you are here to catch him and is in the midst of destroying all the evidence. He needs 30 minutes for the whole process to complete. You have to get through all the locks (full of percentages) to get to his secret chamber before all the evidences are gone.

Answers

Answer:

filthy Frank always told ppl who had anime pic where weeaboos

PLEASE HELP DOES ANYONE KNOW HOW TO SOLVE THIS

Answers

Answer:

Step-by-step explanation:

All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.

As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36

Which point has coordinates ( -5, -4) ?

Please help ASAP!!! I will give 20 points

Answers

Answer:

Y is your answer

Step-by-step explanation:

pls brainleist

Answer:

point Y

Step-by-step explanation:

hey! please help i’ll give brainliest

Answers

Answer:

true

Step-by-step explanation:

https://www.blooket.com/play?id=658244

Copy and paste
All right answers
Appropriate names please!!

Answers

Answer:

Step-by-step explanation:

HELP ME PLEASE PLEASE PLESSEEEE

Answers

Answer:

12/7

Step-by-step explanation:

Jayden has $20.56. He buys an apple for $0.79 and a granola bar for $1.78. How much money does Jayden have now? A
$2.57

B
$17.99

C
$18.01

D
$23.13

Answers

The answer to this is b

Answer:

$17.99

Step-by-step explanation:

Add the total amount spent: $0.79 (apple)+ $1.78 (granola bar)=$2.57

Subtract from the money Jayden has: $20.56-$2.57=$17.99

Hope This Helps!!

Angel lives 3/4 miles from school he has already walked 1/6 mile. How much farther does angel need to walk to school

Answers

Answer:

7/12 miles

Step-by-step explanation:

3/4 and 1/6

find common denominator

9/12 and 2/12

subtract

7/12

when you divide the 3/4 and 1/6 you get 4.5

Which equations are true? Choose all that apply.
A. 15^0=15
B. (8^3) (8^6)= 8^9
C. 5^2 = 1/5-3
D. (6^5)^3 = 6^15
E. 3^7/3^9 = 3^-2

Answers

Answer:

B, D, E

Step-by-step explanation:

A) anything to the zero power equals one

B) when bases are the same and being multiplied, add their exponents

C) 5² = 25

D) when parentheses separate exponents, they should be multiplied

E) when bases are the same being divided, subtract their exponents

please help me ill give you the crown thing if its right

Answers

Answer:

Step-by-step explanation:

3/5 = x/25

x = 15

Answer:

Step-by-step explanation:

25/5 = 5 so 3*5=15. also 3/5 is the same as 15/25. (15/5 = 3 and 25/5 = 5)

What is the correct meaning of the word collided?
A caution flag was raised when two cars collided at a turn during the high-speed race.
A.stopped
B.sped up
C.crashed
D.slowed down

Answers

Answer:

Crashed

Step-by-step explanation:

Collided means to "hit with force when moving."

Crashed is the correct meaning so C

Find X. It’s a right triangle

Answers

Answer:

7.64

Step-by-step explanation:

use tangent (opposite over adjacent)

tan27=x/15

multiply both sides by 15 to isolate the x

15tan27=x

use a calculator

answer = 7.64

A stack of 500 pieces of paper is 2 inches tall. How tall is a stack of 250 pieces? 100 pieces? 10 pieces?

Answers

250 is one inch
100 is 0.4 inch
10 is 0.04 inch

5 b = - 25 for algebra

Answers

Answer:

b= -5

Step-by-step explanation:

because 5x-5=-25

5b= -25
-25 divided by 5 = -5
b= -5

Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.

Answers

Answer:

6.25 times two equals 12.5

Step-by-step explanation:

Benito cooked 48 cupcakes for his school’s bake sale. His mother cooked 132 additional cupcakes for the sale. How many cupcakes did Benito and his mother cook altogether?

84
132
180
190

Answers

Answer:

180

Step-by-step explanation:

132 plus 48 is 180 so altogether they baked 180 cupcakes

I hope this helped! :)

180 because 48 + 132 = 180

What association does the scatter plot show
A positive nonlinear association
B positive linear association
C no
D negative nonlinear
E negative linear

Answers

C. No Association
This is because there is no definitive line in the graph or upwards or downwards trend

Answer:

The answer would be no association

Step-by-step explanation:

Write [tex]cot^{2} x (1+tan^{2} x)[/tex] Then simplify the expression so no quotients appear

Answers

Step-by-step explanation:

From Trig

1 + tan²x = Sec²x

Also

Sec²x = 1/cos²x

Now

Cot²x = 1/tan²x = cos²x/sin²x

Putting all together

Cot²x(1+tan²x)

= Cot²x(sec²x)

= cos²x/sin²x(1/cos²x)

cos²x on the numerator and that one the denominator cancels out

we have

= 1/sin²x

From Trig

1/sin²x = cosec²x

So Our Answer = cosec²x.

Someone please help will mark brainliest!!!

Answers

Answer: 50°

Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)

D is your answer so

Write the ratios for sin X and cos X.

Answers

Answer:

[tex] \sin(X) = \frac{ \sqrt{119} }{12} \: , \: \cos(X) = \frac{5}{12} [/tex]

Answer:

Its the last choice.

Step-by-step explanation:

sin X = opposite side / hypotenuse

= √119/12.

cos X = adjacent side / hypotenuse

= 5/12.

anyone know how to do this

Answers

Answer:

Step-by-step explanation:

∠CBD=1/2×88=44°

Please help me thanks please
I will give you brainlest

Answers

Answer:

Step-by-step explaintion

5 x 12

s t are positive integers

(X +S) (x-t) is expanded - Simplified

The

answer

is x² + Kx-40 where K is a positive integer

work out the

out the smallest possible value of K

Answers

Given:

The expanded form of [tex](x+s)(x-t)[/tex] is [tex]x^2+Kx-40[/tex].

Where, s, t, K are positive integers.

To find:

The smallest possible value of K.

Solution:

The expanded form of [tex](x+s)(x-t)[/tex] is [tex]x^2+Kx-40[/tex]. It means,

[tex](x+s)(x-t)=x^2+Kx-40[/tex]

[tex]x^2-tx+sx-st=x^2+Kx-40[/tex]

[tex]x^2+(s-t)x-st=x^2+Kx-40[/tex]

On comping both sides, we get

[tex]K=s-t[/tex] ...(i)

K is a positive integer if s>t.

And

[tex]st=40[/tex]

The factor pairs of 40 are (1,40), (2,20), (4,10), (5,8), (8,5), (10,4), (20,2) and (40,1).

Since s>t, therefore the possible values for (s,t) are (8,5), (10,4), (20,2) and (40,1).

Using (i), find the value of K for each factor pair.

[tex]K=8-5=3[/tex]

[tex]K=10-4=6[/tex]

[tex]K=20-2=18[/tex]

[tex]K=40-1=39[/tex]

Therefore, the smallest possible value of K is 3.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x≤0

JUst search it up on mathpapa lol

Answer:

x<0

Step-by-step explanation:

looks like this is an algebraic equation, we can get the answer by observation the "x" - witch we have to get, and see if x is bigger or smaller than the numbers. By doing that its not and we know x<0.

Hard and Long math question, Answer for 100Points

(In image)------ (Dum answers to steal points will be reported, and your account will be deleted)

(Answer In depth for all points, And Answer all the questions that the problem requests)

Answers

Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36

Step-by-step explanation:

Momma: x/48=30/20; 1440=20x; x=72

Uncle: x/72=5/10; 360=10x; x=36

Baby: x/36=6/8; 216=8x; x=27

Grandaddy: x/27=16/12; 432=12x; 36

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