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
Kitty [74]
2 years ago
13

HELP!! Full Question in picture

Mathematics
1 answer:
drek231 [11]2 years ago
5 0

a. The value of x is 7

b. The measure of ∠1 is 99°

<h3>Calculating angles </h3>

From the question, we are to solve for x

From the given diagram, we can write that

m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)

From the given information,

m∠NMQ = 5x +19

m∠MQN = 8x -11

m∠QNM = 11x + 4

Then,

5x + 19 + 8x -11 + 11x + 4 = 180

Collect like terms

5x + 8x + 11x = 180 - 19 + 11 - 4

24x = 168

∴ x = 168/24

x = 7

Hence, the value of x is 7

b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)

∴ Measure of ∠1 = 180° - m∠QNM

But m∠QNM = 11x + 4

∴ m∠QNM = 11(7) + 4

m∠QNM = 77 + 4

m∠QNM = 81°

Then,

Measure of ∠1 = 180° - 81°

Measure of ∠1 = 99°

Hence, the measure of ∠1 is 99°

Learn more on Calculating angles here: brainly.com/question/25716982

#SPJ1

You might be interested in
Given that CA = CB and m∠CPB = 90 degrees, which statement can you conclude is true?
UNO [17]

Answer:

3is the right answer

Step-by-step explanation:

you did it right

8 0
3 years ago
Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this
emmasim [6.3K]

Answer:

Irrational

Step-by-step explanation:

The number is called an irrational number.

These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.

Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.

Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect

8 0
3 years ago
F(x)=3x^2+2x-3 and g(x)=2x+4. Identify the rule for f+g
Sergio039 [100]

Answer:

3x^2 +4x+1

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
if the speed of sound is 344 meters per second, what is the approximate speed of sound, in meters per hour?
choli [55]
Since we already know that the speed of sound is 344m per second, there are 60 seconds in one minute, and there are 60 minutes in one hour, we just multiply 344 by 60, giving us 20,640. Then we multiply 20,640 by 60 to get an answer of 1,238,400 meters per hour.
4 0
3 years ago
Amy is doing a science experiment on how a certain bacterium reacts to an antibiotic. She has 3 dishes of identical bacterium sa
Scorpion4ik [409]
The sample size is 13 * 3 = 39
7 0
3 years ago
Other questions:
  • Plz plz plz help on number 6,7,8,9 I would greatly appre and whoever gets it get brainliest
    15·1 answer
  • Please help ASAP 20 pts + brainliest to right/best answer
    12·1 answer
  • evaluate the difference quotient for the given function. Simplify your answer. f(x)=1/x , (f(x) - f(a))/x-a
    10·2 answers
  • mr. Garcias class raised momey for a field trip to the zoo. There are 23 students in his class. The cost of the trip will be $17
    15·2 answers
  • The question is in the picture
    14·1 answer
  • What is the answer to this question 3a - 15 = 6
    7·2 answers
  • I need help please (22 points or more in the future)
    10·1 answer
  • PLEASE HELP I NEED THIS QUICK IM SO STUCK.​
    5·1 answer
  • What is the slope of the line that passes through (3,5) (7,3)<br> A<br> -2<br> B) -1/2<br> 2<br> 1/2
    12·2 answers
  • A customer deposits $1000 in a savings account that pays 5% interest compounded annually. How much money will the customer have
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!