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
Sholpan [36]
3 years ago
15

Complete the proof of the exterior angle theorem. Given: ∠4 is an exterior angle of △ABC. Prove: m∠1+m∠2=m∠4 Answer: Statement R

eason 1. ∠4 is an exterior angle of △ABC. 1. 2. ∠3 and ∠4 form a linear pair. 2. 3. ∠3 is supplementary to ∠4. 3. 4. m∠3+m∠4=180° 4. 5. 5. Triangle Sum Theorem 6. m∠1+m∠2+m∠3=m∠3+m∠4 6. 7. 7.

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

1.   given

2.  linear pair property

3.  straight line property

4.  angle 3 is supplementary to angle 4

5. m<1 + m<2 + m<3 = 180 --> Triangle Sum Theorem

6.  statement 4 and 5

7. m<1 + m<2 = m<4 --> subtraction property

Step-by-step explanation:

i just did the test and i checked over these answers and its right :)

have a great day

Nataly_w [17]3 years ago
5 0

Answer:


Step-by-step explanation:

Statement                                                                              Reason

1. ∠4 is an exterior angle of ΔABC                                         Given

2. ∠3 and ∠4 form a linear pair                                    Linear pair property

3. ∠3 is supplementary to ∠4                                     Straight line property

4. m∠3+m∠4=180°                                                ∠3 is supplementary to ∠4      

5. m∠1+m∠2+m∠3=180°                                           Triangle sum theorem

6.m∠1+m∠2+m∠3= m∠3+m∠4                                   Statement 4 and 5

7. m∠1+m∠2=m∠4                                                     Subtraction property

You might be interested in
5. Which of the following is not shown in the
soldi70 [24.7K]
C.
(I’m pretty sure but if I’m wrong I apologize in advance)
8 0
3 years ago
A sphere with a radius of 6 cm has the same volume as a cone with a height of 6 cm. What is the radius of the cone?
Advocard [28]
The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2

Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2

Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm 

So the radius of the cone is 12 cm
8 0
3 years ago
A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results
USPshnik [31]

Answer:

0.07776, 0.3456,0.08704

Step-by-step explanation:

Given that a new surgical procedure is said to be successful 60% of the time

Let X be the no of successes

Then X has only two outcomes and each trial is independent of the other

Hence X is binomial with p = prob of success in a single trial = 0.60

n = Number of operations performed = 5

Prob that

a) all five operations are successful =

P(X=5)\\= (0.6)^5\\=0.07776

(b) exactly three are successful

=P(X=3) = 5C3 (0.6)^3(0.4)^2\\= 0.3456

(c) less than two are successful

==P(X

3 0
3 years ago
Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial q
Keith_Richards [23]

Answer:Partial quotients Paloma should show in her work are B) 30,10,1.


Step-by-step explanation:

Given : Paloma dividing 1292 (dividend) by 31 (divisor) using partial quotients.

so the easy multiples of 31 are as 31×2=62 ,31×3=93,31×10=310....so on

if she uses 30 as her first partial quotient then 31×30=930, so after subtracting 930 from 1292 we get 362 as new dividend then 31×10=310 is the easiest multiple of 31 so that 362-310=52 as new dividend ,then 31×1=31 subtracting this from 52 gives 52-31=21 which is the remainder.

Therefore, Partial quotients Paloma should show in her work are 30,10 and 1.

5 0
3 years ago
Solve for x.<br> x + 5 &gt; 4
Delvig [45]

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

x + 5 (-5) > 4 (-5)

x > 4 - 5

x > -1

x > -1 is your answer.

~

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation is the inverse of y = 9x^2 - 4?
    11·2 answers
  • This is important.Please help.I would really appreciate it❤️.
    14·1 answer
  • 1. A student gets a summer job and she’ll receive a paycheck on the last day of the month in June, July, and August. If she im
    5·1 answer
  • Complete the equation and show which property you used.
    5·2 answers
  • Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less
    15·2 answers
  • HELP!!! Please answer today!
    11·1 answer
  • Matematyka. Zad.7 str.24 ćw 5kl Proszę szybko o odp. Na zadanie 7 ze strony 27 w ćwiczeniach dla 5 klasy
    5·1 answer
  • Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution?
    8·1 answer
  • Which is the best estimate of -3/5
    8·2 answers
  • Which facts are true for the graph of the function below? Check all that apply.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!