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
fiasKO [112]
3 years ago
10

Can someone help me do this proof?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

statement. reasons

1. In tri.ABE AND TRI.DCE

I. angle D=angle A. I. corresponding angle

ii.angleC=angle B. II. correspondingangle

iii.angleE=angle E. iii.common angle

2.ABE~DCE. 2.By AAA.condition.

proved.

You might be interested in
Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded? -Above the solid line
baherus [9]

The statement which correctly describes the shaded region for the inequality is \fbox{\begin\\\ Above the dashed line\\\end{minispace}}

Further explanation:

In the question it is given that the inequality is 6y-3x>9.  

The equation corresponding to the inequality 6y-3x>9 is 6y-3x=9.

The equation 6y-3x=9 represents a line and the inequality 6y-3x>9 represents the region which lies either above or below the line 6y-3x=9.

Transform the equation 6y-3x=9 in its slope intercept form as y=mx+c, where m represents the slope of the line and c represents the y-intercept.  

y-intercept is the point at which the line intersects the y-axis.  

In order to convert the equation 6y-3x=9 in its slope intercept form add 3x to equation 6y-3x=9.  

6y-3x+3x=9+3x

6y=9+3x

Now, divide the above equation by 6.  

\fbox{\begin\\\math{y=\dfrac{x}{2}+\dfrac{1}{2}}\\\end{minispace}}

Compare the above final equation with the general form of the slope intercept form \fbox{\begin\\\math{y=mx+c}\\\end{minispace}}.  

It is observed that the value of m is \dfrac{1}{2} and the value of c is \dfrac{3}{2}.

This implies that the y-intercept of the line is \dfrac{3}{2} so, it can be said that the line passes through the point \fbox{\begin\\\ \left(0,\dfrac{3}{2}\right)\\\end{minispace}}.

To draw a line we require at least two points through which the line passes so, in order to obtain the other point substitute 0 for y in 6y=9+3x.  

0=9+3x

3x=-9

\fbox{\begin\\\math{x=-3}\\\end{minispace}}  

This implies that the line passes through the point \fbox{\begin\\\ (-3,0)\\\end{minispace}}.  

Now plot the points (-3,0) and \left(0,\dfrac{3}{2}\right) in the Cartesian plane and join the points to obtain the graph of the line 6y-3x=9.  

Figure 1 shows the graph of the equation 6y-3x=9.

Now to obtain the region of the inequality 6y-3x>9 consider any point which lies below the line 6y-3x=9.  

Consider (0,0) to check if it satisfies the inequality 6y-3x>9.  

Substitute x=0 and y=0 in 6y-3x>9.  

(6\times0)-(3\times0)>9  

0>9

The above result obtain is not true as 0 is not greater than 9 so, the point (0,0) does not satisfies the inequality 6y-3x>9.  

Now consider (-2,2) to check if it satisfies the inequality 6y-3x>9.  

Substitute x=-2 and y=2 in the inequality 6y-3x>9.  

(6\times2)-(3\times(-2))>9  

12+6>9  

18>9  

The result obtain is true as 18 is greater than 9 so, the point (-2,2) satisfies the inequality 6y-3x>9.  

The point (-2,2) lies above the line so, the region for the inequality 6y-3x>9 is the region above the line 6y-3x=9.  

The region the for the inequality 6y-3x>9 does not include the points on the line 6y-3x=9 because in the given inequality the inequality sign used is >.

Figure 2 shows the region for the inequality \fbox{\begin\\\math{6y-3x>9}\\\end{minispace}}.

Therefore, the statement which correctly describes the shaded region for the inequality is \fbox{\begin\\\ Above the dashed line\\\end{minispace}}

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
  3. A problem to convert degree into radians brainly.com/question/3161884

Answer details:

Grade: High school

Subject: Mathematics  

Chapter: Linear inequality

Keywords: Linear, equality, inequality, linear inequality, region, shaded region, common region, above the dashed line, graph, graph of inequality, slope, intercepts, y-intercept, 6y-3x=9, 6y-3x>9, slope intercept form.

4 0
3 years ago
Read 2 more answers
56 / w x for 100 what is the meaning of W?
DENIUS [597]

WidthAnswer:

Step-by-step explanation:

5 0
3 years ago
Max's car holds 18 gallons of gasoline.Driving on the highway, the car uses approximately 2 gallons per hour. Let h represent th
balandron [24]
So amount minused=hours driven times gallons per mile=h times 2 or 2h


so we minus 2h

18-2h is the expression
8 0
3 years ago
The length and width of a rectangle are
uysha [10]

Answer:

y=6

Step-by-step explanation:

(2y-3)*2=4y-6

You multiply by two because there are two sides that are considered the length

y+1*2=2y+2

Same thing here

4y-6+2y+2=32

6y-4=32

+4. +4

6y=36

/6 /6

y=6

5 0
3 years ago
Read 2 more answers
(-4-3)(1-(3+5))x5= <br><br><br> how do you solve that problem ?
zavuch27 [327]
(-4 - 3)(1 - (3 + 5)) × 5
(-7)(-1 - 2) × 5
(-7)(-3) × 5
21 × 5
105
7 0
3 years ago
Other questions:
  • How do you write 13,406 in words
    15·2 answers
  • 10/25 is that failing what grade is it or number %
    14·2 answers
  • Explain how to evaluate the expression 10^3+5•10. THANKS I APPRECIATE IT !
    7·1 answer
  • 1 pts
    14·1 answer
  • What fraction is equivalent to -0.06
    9·2 answers
  • Evaluate the expression.
    9·2 answers
  • Anita took 1/6 of a cake and Barry took 60% of what remained. What fraction of original cake is left. Explain full method.
    11·2 answers
  • BEST ANSWER GETS TO BE BRAINLYEST!!!!!
    12·2 answers
  • What is the absolute value of the complex number -4-√2i?
    8·2 answers
  • A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!