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
Vlada [557]
3 years ago
9

Consider the figure below. Line FG is parallel to line JK.

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

You might be interested in
How many x-intercepts does the graph of each quadratic equation have? Show your work.
Alex73 [517]

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

4 0
3 years ago
8+(14+6) FIND EASIER EXPLAIN WHY
alexandr1967 [171]

Hi there and welcome to Brainly!


The answer to 8+(14+6) = 28. The reason for this is you add what is in parenthesis first then you add the number outside of the parenthesis. This follows the PEMDAS rule which is called the order of operations. PEMDAS is an acronym which stands for Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction, this is the order you should follow when solving any problem.


If you have anymore questions please feel free to ask them.

Your friend, ASIAX

8 0
3 years ago
Michael recorded the color of each car that passed by his office. He saw 30 blue cars and 40 green cars. What is the experimenta
Eddi Din [679]

Answer:

3/7

Step-by-step explanation:

4 0
3 years ago
The water level of a lake has been increasing each year. The initial water level of the lake was 800 meters, and the water level
ivanzaharov [21]
2x=5x1800+1500(56-7)
7 0
3 years ago
The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second wit
Anuta_ua [19.1K]

Answer:

67 students voted for the eagle

Step-by-step explanation:

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle

Total students who voted = 536

Falcon won with 5/8 of the votes

5/8 of 536

=5/8 × 536

= 2,680/8

= 335 votes

Falcons won with 335 votes

Remaining votes = Total votes - falcons votes

= 536 - 335

= 201 votes

There are 201 votes remaining

Eagle came second with 1/3 of the remaining votes

1/3 of the remaining votes

= 1/3 × 201

= 201/3

= 67 votes

67 students voted for the eagle

5 0
3 years ago
Other questions:
  • Pre algebra problem help solve it<br><br> b( a + b )+ a; use a=9, and b = 4
    12·2 answers
  • Find the variable 6x-8=34
    9·1 answer
  • Is the following relation a function?
    5·2 answers
  • the following sequence is an arithmetic sequence.you are now shown very many terms of this sequence,but you are shown enough to
    9·1 answer
  • Please help! I’m not sure how what this is called please help! Will mark right answer as brainliest
    5·1 answer
  • 10(2x+-15)= 40x=30 how do i solve this?
    12·1 answer
  • Quadrilateral ABCD is inscribed in circle E. the m&lt;A=152 find m&lt;C​
    6·1 answer
  • The graph shows the saving in Andre's bank account. What is the slope of the line?
    13·1 answer
  • 6th work. What measure of Central tendency is calculated by adding all the values and diving the sum by the number of values
    7·1 answer
  • Solve this equation. 10 = w/3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!