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
Otrada [13]
3 years ago
14

I need #1 done (show work) will give brainliest

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Step-by-step explanation:

<u>Statement                                                        Reason                               </u>

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

You might be interested in
Funke, Adamu, Shehu, Kwame and Tanko play a game of cards. Funke says to Adamu, "If you give me 5 cards, you will have as many a
baherus [9]

This involves basic arithmetic calculations and simultaneous equations.

Adamu has 25 Cards

Let the following letters represent the number of cards each has;

A: ADAMU

F: FUNKE

S: SHEHU

K: KWAME

T: TANKO

  • If adamu gives funke 5 cards, he will have as many as tanko. Thus;

A - 5 = T  --- eq 1

  • If funke gives adamu 4 cards, he will have as many as kwame. Thus;

A + 4 = K  --- eq 2

  • Funke and adamu have a total of 13 more cards than the total that kwame and tanko have. Thus;

A + F = K + T + 13   --- eq 3

  • Adamu has 2 cards more than what Shehu has. Thus;

A - 2 = S  --- eq 4

From online research, the Total Number of cards is 134 and not 133. Thus;

A + F + K + S + T = 134  --- eq 5

Let's put A - 5 = T and A + 4 = K in eq 3 to get;

A + F = (A + 4) + (A - 5) + 13

A + F = 2A + 12

F = 2A - A + 12

F = A + 12

Let's put A - 2 = S ; F = A + 12 ; A - 5 = T and A + 4 = K into eq 5 to get;

A + A + 12  + A + 4 + A - 2 + A - 5 = 134

Simplifying gives;

5A + 9 = 134

5A = 134 - 9

5A = 125

A = 125/5

A = 25

Adamu has 25 Cards

5 0
3 years ago
Please Help me on this Question
VARVARA [1.3K]
I wish i knew hehe sorry
6 0
3 years ago
A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?
LUCKY_DIMON [66]
200 hours.

It’s 10km for every one hour
Divide 2000 by 10 and you will be left with the number of km for every one hour.
4 0
3 years ago
I was reading a book of 560 pages. On Sunday, I was able to finish 1/4pages of the book. How many pages do I read on Sunday?
kolbaska11 [484]

Answer:

140

Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

Cross out the numbers that are divisible

560/4 = 140

5 0
2 years ago
Which of the following is the graph of y = 5?
Annette [7]
Slope: 0
Y-intercept: 5
The answer is 0,5
I hope this helps.
8 0
3 years ago
Other questions:
  • Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $1100.
    6·1 answer
  • Can 7 13/12 be simplified
    7·2 answers
  • What is the smallest number you can make with 5, 7, 9
    9·1 answer
  • A rectangle and a triangle with the same base and height have the same area. True or false
    15·2 answers
  • What is 97+3×6+5×4 =​
    9·2 answers
  • What is the slope of the line passing through the points (-5,9) and (2,-12)​
    5·1 answer
  • (5 - i)(5 + I)=<br><br> Answer choices:<br> 26<br> 25i<br> 24
    10·1 answer
  • Round $4.72955 to the nearest cent
    7·1 answer
  • Identify the solid. A. triangular prism B. hexagonal prism C. right pyramid D. rectangular prism
    15·2 answers
  • Find all real zeros of the function y= -9x - 1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!