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
TEA [102]
2 years ago
15

Please Helppp!! Geometry

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0

Answer:

m∠6 = 54°

Hope this helps!

Step-by-step explanation:

( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).

Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x.  ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.

Because Supplementary angles equal 180°, 18x + 18 = 180

18x = 162        x = 162/18       x = 9

Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )

∠6 = 45 + 9        ∠6 = 54

You might be interested in
When the automobile manufacturer releases a new model in its WOW series, it promises that drivers can expect to get mlleage that
bixtya [17]

Answer:

28.4 divided by 6.5

Step-by-step explanation:

8 0
3 years ago
The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000
Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

P = P_0 \times e^{rt}

where P is the population after time t, P_0 is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

2 P_0 = P_0 \times e^{r 1/3}

2 = e^{r \; 1/3}

ln 2 = r \; 1/3

ln 2 \times 3 = r

2.08 \% = r

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

90000 = P_0 \times e^{2.08 \; 5/3}

\frac{9000}{e^{2.08 \; 5/3}} = P_0

2810 = P_0

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

P = 2810 \times e^{2.08 \; 5}

P = 92335548

3 0
3 years ago
an angle measures 62 degrees less than the measure of its complementary angle. what is the measure of each angle
Yuki888 [10]

Answer:

Step-by-step explanation:

What is a complementary angle?

3 0
3 years ago
(5,-6) after a rotation of 90 digres
vlada-n [284]

Answer:

depends which way you rotate it

Step-by-step explanation:

counterclockwise rotation: (6,5)

clockwise rotation: (-6,-5)

7 0
3 years ago
I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it
Lelu [443]

Answer:

\frac{n^{2}}{2a}

Step-by-step explanation:

  • Just split it up first \frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}
  • Then 9 divided by 18 can be simplified into the fraction 1/2
  • What can go into a and a^2 ? a itself right, so if you divide a by a you get 1, if you divide a^2 by a you get a
  • Same as the a fraction, if you divide n^3 by n you get n^2
  • \frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}
4 0
3 years ago
Read 2 more answers
Other questions:
  • It takes 3.5 ounces of cocoa
    10·1 answer
  • The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an
    13·1 answer
  • A sampling of 20 inpatients in Hospital X's intensive Care Unit revealed an average lenght of stay of 3.5 days with a standard d
    11·1 answer
  • Excel - Using the charts below how would I create an equation to calculate the cost for the other years using the annual API
    12·1 answer
  • Plz help me I am <br> Stuck
    6·1 answer
  • Patrick invested money into a special savers bank account. Each year money in the account earns 4% interest. After one year, the
    11·2 answers
  • Find the mean of 11,7,2,8​
    5·2 answers
  • What is the constant of proportionality in the equation x/y=2/9
    5·2 answers
  • George, Arianna, and Carlos are going to mow the baseball field with push
    6·1 answer
  • Which expression represents "9 less than the product of 6 and a number, n"? *
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!