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
ratelena [41]
3 years ago
11

Can I get some help with proofs? Picture is attached

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

Give a reason for each step of the proof. 

Given: <1 and <2 are complimentary 

<1 is congruent to <3, 

<2 is congruent to <4 

Prove: <3 and <4 are complimentary 

Statements: Reasons: 

1. <1 and <2 are complimentary 1.Given 

2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>

3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______ 

4. m<1=m<3, m<2=m<4 4.<u>DEFINITION OF CONGRUENT ANGLES_</u>

5. m<3 + m<2=90* 5. <u>SUBSTITUTION PROPERTY (m<1 is replaced by m<3.) </u>

6. m<3 +m<4=90* 6. <u>DEFINITION OF COMPLEMENTARY ANGLES </u>

7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>

You might be interested in
I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=
mojhsa [17]
\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to &#10;\begin{cases}&#10;f(t)=0\\&#10;t=7&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)&#10;\\\\\\&#10;\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0&#10;\\\\\\&#10;C=-5ln(7)&#10;\\\\\\&#10;thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

6 0
3 years ago
jeremiah Scored 28 points in yesterday’s basketball game. He made a total of 17 baskets. Some of the baskets for field goals. An
cestrela7 [59]
He made  11 (2 pt. shots) & 6 (free throws)
11 x 2 = 22 points
6 x 1 = 6 points
 17 baskets      totaling 28 points
8 0
3 years ago
a car rental company charges 20.50 a day plus .20 per mile for a compact car if the customer can send 80 how many miles can he d
ozzi

He can drive 2.975 miles in one day with the surcharge or $20.50 for the vehicle and $20.00 per mile extra.

Step-by-step explanation:

$80.00 total

-$20.50 Daily cost

=$59.50

$59.50/$20.00= 2.975miles

5 0
3 years ago
Read 2 more answers
Heyy i just need some help with questions 29 if anyone could help me and show the work that would be amazing thank you!!
horrorfan [7]

Step-by-step explanation:

if we are taking in terms of domain.. is d set of number that we can put to the function with get division by zero .. squaroot of negative number,log of zero e.t.c

A) p(x)/m(x)= 1/squaroot(x) ÷ x²-4 which we know that x²-4 must not be equal to zero

because if is equal to zero we will have division by zero, which have contradicted the hypothesis of law of domain

x²-4 =! 0

(x-2)(x+2)=!0

x=!2 or x=!-2 because if is equal to that it's has contradicted d hypothesis

the answer is all real number except -2 and -

2

B)p(m(x))=p(x²-4) =1/squaroot of x²-4

note they are two things involve we must not get division by zero and root of negative number

we have all real number expect from -2 to 2

C)m(p(x))=m(1/root of (x))=(1/root of (x))²_4)

we have 1/x-4

so the answer is all real number expect zero

3 0
2 years ago
A​ student's cost for last semester at her community college was ​$2700. She spent ​$378 of that on books. What percent of last​
irina [24]

Answer:

There is 12% of last semester's college costs was spent on books. Step-by-step explanation: Since we have given that.

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Xavier invests $100 each month for 6 months in an account that pays 6% APR compounded monthly. What is the future value of Xavie
    7·1 answer
  • Tell whether the given equation has the ordered pair as a solution.
    15·1 answer
  • 3x - 5y+5=0<br>4x+ 7y+8=0<br><br>Please help ​
    10·1 answer
  • 6 out of every 10 people have to wear glasses. How many people would you expect to wear glasses out of 100 people
    11·1 answer
  • you and three friends are going to a restaurant for dinner. you share three appetizers that cost $6 each. you also share two des
    10·1 answer
  • Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is E
    10·1 answer
  • Mason wants to play with Maliyah's Doll House, but first he needs to stop at the clubhouse. If all
    12·2 answers
  • Which set of measures can represent the lengths of a right triangle?
    7·1 answer
  • James, Gilbert, Matthew, and Simon ran in a relay race. Their times are listed in the chart below. Student James Gilbert Matthew
    10·1 answer
  • 6 8/10 + 1 7/10 =<br> please help meee
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!