1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
3 years ago
11

In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides AB and BC respectively. The f

ollowing flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side: Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side Similarity Postulate, triangle ABC is similar to triangle DBE. By Corresponding Parts of Similar Triangles, angle BDE is congruent to angle BAC. By Converse of the Corresponding Angles Postulate, line segment DE is parallel to line segment AC. Bottom path, by space labeled as 2, space labeled by 1 occurs. By Side Angle Side Similarity Postulate, triangle ABC is similar to triangle DBE. By Corresponding Parts of Similar Triangles, angle BDE is congruent to angle BAC. By Converse of the Corresponding Angles Postulate, line segment DE is parallel to line segment AC. Which reason can be used to fill in the numbered blank space? 1. ∠A ≅ ∠A 2. Reflexive Property of Equality 1. ∠A ≅ ∠B 2. Corresponding Parts of Similar Triangles 1. ∠A ≅ ∠B 2. Corresponding Angles Postulate 1. ∠B ≅ ∠B 2. Reflexive Property of Equality

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Answer:

  1. ∠B ≅ ∠B

  2. Reflexive Property of Equality

Step-by-step explanation:

Corresponding sides are shown proportional in the top path.

In order to invoke SAS, corresponding angles must be shown congruent in the bottom path. Angle B is the the angle of interest in each of the relevant triangles, so it must be shown congruent to itself. The appropriate choice is ...

  1. ∠B ≅ ∠B
  2. Reflexive Property of Equality
You might be interested in
Here are the percents of the popular
kvv77 [185]

Answer: 57.4

Step-by-step explanation:

First order the numbers from the smallest to the largest:

49.6, 55.1, 57.4, 49.7, 61.1, 43.4,  60.7, 50.1, 50.7, 58.8, 53.9, 43.2,  49.2, 47.9, 51.2

to:

43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.

The position of third quartile is:

= (N + 1) * 3/4

= (15 + 1) * 3/4

= 12th position

That number is:

= 57.4

8 0
2 years ago
Please help me with this sum
mihalych1998 [28]
The answer is 1
6 -
6
8 0
3 years ago
Solve the following equations;-<br><br> x - 9 /√x + 3 =1
fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1

Cross multiply ,

\sf\implies x - 9 =\sqrt{ x +3}

Squaring both sides ,

\sf\implies (x - 9)^2 = x + 3

Simplify the whole square ,

\sf\implies x^2+9^2-2.9.x = x +3 \\

\sf\implies x^2+81 - 18x = x -3

Add 3 and subtract x on both sides ,

\sf\implies x^2 -18x-x +81-3=0

Simplify ,

\sf\implies x^2 -19x +78=0

Split the middle term of the quadratic equation,

\sf\implies x^2-13x-6x+78=0

Take out common ,

\sf\implies x( x -13)-6(x-13)=0

Take out ( x -13 ) as common ,

\sf\implies ( x -13)(x-6)=0

Equate both factors to 0 ,

\sf\implies \boxed{\pink{\sf x = 13,6}}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>

7 0
2 years ago
We have 2 cups of butter.we used 1/4cup, 1/2 cup, and 1/8 cup. How much will be left?
alina1380 [7]

Answer:

Step-by-step explanation:

2 cups=8/4 1/2=2/4 1/8=0.5/4

8/4-1/4=7/4

7/4-2/4=5/4

5/4-0.5/4=4.5/4

Answer:1 0.5/4 cups

4 0
3 years ago
Read 2 more answers
Which letter on the number line represents 2.4?
Zigmanuir [339]

2.4 on the number line is B

6 0
3 years ago
Read 2 more answers
Other questions:
  • Three times the quantity of seven less than a number is five
    12·1 answer
  • What is 6c+b÷6,when c=8
    8·1 answer
  • Given the function, f(x)= √ x+2+3 choose the correct transformation
    7·1 answer
  • Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and
    13·1 answer
  • A line segment joins points P(-1, -7) and Q (7, 3) Determine the length of PQ to 1 decimal place?
    15·1 answer
  • Pls help! I will mark brainliest
    8·1 answer
  • What is the lateral surface area of the rectangular prism. <br><br>a 520<br>b 856<br>c 576<br>d 616​
    8·1 answer
  • What number must be subtracted from -3/5<br> to get -2
    6·1 answer
  • What is the measure of AX, in degrees?<br> N<br> 6<br> Х<br> 6<br> 70<br> у
    8·1 answer
  • Heyy pls help ty lol
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!