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
guapka [62]
3 years ago
5

Help ASAP! And explain!

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

Option (2)

Step-by-step explanation:

Given:

AC is an angle bisector of ∠DAB and ∠DAB

m∠BCA ≅ m∠DCA

m∠BAC ≅ m∠DAC

To Prove:

ΔABC ≅ ΔADC

Solution:

               Statements                                  Reasons

1). m∠BCA ≅ m∠DCA                            1). Given

2). m∠BAC ≅ m∠DAC                           2). Given

3). AC ≅ AC                                            3). Reflexive property

4). ΔABC ≅ ΔADC                                 4). ASA property of congruence

Therefore, Option (2) will be the correct option.

You might be interested in
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of
levacccp [35]

#1

Take any two points

  • (3,24)
  • (6,48)

Slope

  • m=48-24/6-3
  • m=24/3
  • m=8

#2

  • (3,21)
  • (6,42)

Slope:-

  • m=42-21/6-3
  • m=21/3
  • m=7

Difference

  • 1$
3 0
2 years ago
What is the total surface area of the rectangular pyramid whose net is shown?
Lunna [17]

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

7 0
3 years ago
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total
svp [43]

Answer:

D The solution is 35, which represents the number of miles she runs each week.

Step-by-step explanation:

Given that Gisele trains 7 days a week, the total of miles she cycles and runs in a week can be divided by 7, or multiplied by 1/7 to find her daily average.  Her total number of miles ran for the week combined with her cycling miles multiplied by 1/7 would average 20 miles daily.  Since the run is the same each day, using the equation:

1/7(105 + r) = 20 will give the value of 'r' in the number of miles ran per week

105 + r = 140 (multiply both sides by '7')

r = 35 (subtract '105' from both sides)

7 0
3 years ago
Read 2 more answers
What is the missing length?
Angelina_Jolie [31]
3
This is because the area of a rhombus is A=sh
since the height is 4 mm, and the area is 12mm^2 the length is 3
4 0
3 years ago
Read 2 more answers
Which is the following points is NOT a solution to the inequality y > - x + 3? —a. ( -2,6)b. (5,-1)c. (2,0)d. (0,3)
CaHeK987 [17]

Given -

y > - x + 3

To Find -

The points which is NOT a solution to the inequality

Step-by-Step Explanation -

We will put the value of each in inequality and then see if it satisfies the given condition or not.

a. ( -2,6)

So, x = -2 and y = 6 in y > - x + 3

= 6 > - (-2) + 3

= 6 > 5 (Correct Solution)

b. (5,-1)

So, x = 5 and y = -1 in y > - x + 3

= -1 > -5 + 3

= -1 > -2 (Correct Solution)

c. (2,0)

So, x = 2 and y = 0 in y > - x + 3

= 0 > -2 + 3

= 0 > 1 (Incorrect Solution)

d. (0,3)

So, x = 0 and y = 3 in y > - x + 3

= 3 > -0 + 3

= 3 > 3 (Incorrect Solution)

Final Answer -

The points which is NOT a solution to the inequality =

c. (2,0)

d. (0,3)

3 0
1 year ago
Other questions:
  • One layer of Earth's atmosphere is called the stratosphere. At one point above Earth's surface, the stratosphere extends from an
    5·2 answers
  • I need answers on those 3 problems
    14·1 answer
  • The height of a ball above the ground in feet is defined by the function h(t) = -16t Squared + 80t +3, where t is the number of
    10·1 answer
  • Five more than the quotient of y and 2 is -3
    5·1 answer
  • Plz hurry will mark brainliest
    12·1 answer
  • A homeowner's electric bill for the month was $155.80 for 1,900 kilowatt-hours of
    10·1 answer
  • Solve this step by step and explain your answer
    6·1 answer
  • 10 points for answer
    9·2 answers
  • PLEASE HELP
    8·1 answer
  • Peter plans to invest $2000 for 4 years. The 4 bank offers an interest rate of 6% using simple interest. How much will the he ha
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!