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
USPshnik [31]
3 years ago
8

Find the measure of Angle 5. . . measure of angle 7 = 2x+15. measure of angle 8 = 3x.

Mathematics
1 answer:
Fed [463]3 years ago
3 0
There exists the same question with an attachment where angle 8 and 7 are supplementary and angle 7 and 5 are vertical angles. From this, the equation that we may derive from the given is,
                              (2x + 15) + (3x) = 180
The value of x is 33. Substitute this value to x of angle 7, 2(33) + 15 = 81. Thus, the measure of angle 5 is also 81 degrees. 
You might be interested in
Roots of Quadratics 50 PTS!!!
noname [10]

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

  • k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

  • k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

  • k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

  • k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

-b+\frac{\sqrt{b^{2}-4ac } }{2a}     OR     -b-\frac{\sqrt{b^{2}-4ac } }{2a}

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

  • b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

  • b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

  • b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

  • b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0
11 months ago
Read 2 more answers
How do I resolve -2x+7=4x-2
fenix001 [56]
U would put it into a calculator
7 0
1 year ago
Read 2 more answers
If ΔABC ≅ ΔEDF where the coordinates of A(0, 2), B(2, 4), and C(2, −1), what is the measure of DF?
allsm [11]

Answer:

C. 5

Step-by-step explanation:

Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:

distance formula:

d = √(x2 - x1)^2 + (y2 - y1)^2

d = √(2 - 2)^2 + (-1 - 4)^2

d = √(0)^2 + (-5)^2

d = √0 + 25

d = √25

d = 5

4 0
3 years ago
Read 2 more answers
Find the measurement
xenn [34]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

6z + 7  = 8z - 9

8z - 9 = 6z + 7

Add sides 9

8z - 9 + 9 = 6z + 7 + 9

8z = 6z + 16

Subtract sides 6z

- 6z + 8z =  - 6z + 6z + 16

2z = 16

Divide sides by 2

\frac{2z}{2}  =  \frac{16}{2}  \\

z = 8

Thus ;

NP = 8z - 9

NP = 8(8) - 9

NP = 64 - 9

NP = 64 - 4 - 5

NP = 60 - 5

NP = 55

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

6 0
3 years ago
Solve for x in the diagram below (picture included)
Sever21 [200]

Answer:

34

Step-by-step explanation:

We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.

180=(x+12)+100+x

We can remove the parentheses and combine x plus x to 2x.

180=100+2x+12

100+12=112

so

180=112+2x

-112 -112

68=2x

÷2 ÷2

34=x

5 0
3 years ago
Other questions:
  • Vladimir rolls a six-sided number cube 36 times. If getting a 3 is a success, what is the probability of a success?
    7·1 answer
  • Solve for X<br> 8x - 2 = 6 + 10(x - 5)
    7·2 answers
  • 5/9 x 9/x =1 what is x?
    15·1 answer
  • Solve the system of equations.
    11·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    15·1 answer
  • 3/5 divided by 3/15 equals
    7·2 answers
  • What is the solution 3(2x-6)+4=8x-2(x+1)
    6·1 answer
  • How many square feet of outdoor carpet will we need for this hole?
    12·2 answers
  • Russ tosses a fair coin <br> 40<br> times. The coin lands on heads
    15·1 answer
  • Sean earns $7.00 per hour working after school. He needs at least $230 for a stereo system. Write and solve an inequality that d
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!