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
Sergeu [11.5K]
3 years ago
11

Find the measure of Angle B A. 50° B. 55° C. 60° D. 65°

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Option B. 55° is the correct answer

Step-by-step explanation:

"The sum of interior angles of a triangle is always 180°"

Given

m∠A=(3x+1)°

m∠B=(2x-1)°

m∠C = 40°

We know that

m∠A+m∠B+m∠C=180°

Putting the values of angles

(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\

Subtracting 40 from both sides

5x+40-40=180-40\\5x=140

Dividing both sides by 5

\frac{5x}{5} = \frac{140}{5}\\x=28

We have to find Angle B,

So

m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°

Hence,

m∠B=55°

Option B. 55° is the correct answer

Keywords: Triangle, Interior angles

Learn more about triangles at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#learnwithBrainly

You might be interested in
The new balance of a charge account is $145.00. The minimum payment is $20.00. If the interest rate is 1.5%, how much will the n
juin [17]
The balance is $145 but after one makes he minimum payment of $20, there is $125 left to pay. However interest is added before the next month’s bill is generated.

Remember that percent means out of 100. 1.5% means 1.5/100 = .015

To find 1.5% of 125 we multiply (.015)(125) = 1.875 But as this is money the interest is rounded to two decimal places and so is $1.88

We add this to 125 to get next month’s balance which is 125 + 1.88 = $126.88
3 0
3 years ago
Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0
2 years ago
A concert hall seats 802 people in the balcony and 6887 on the main floor there were a concert in June and the ticket was sold f
tatuchka [14]

Answer: 7689 tickets

Step-by-step explanation:

Since tickets was sold for every seat, the total number of tickets that were sold will be the addition of the 802 seats in the balcony and 6887 seats on the main floor. This will be:

= 802 + 6887

= 7689 tickets

5 0
2 years ago
Please help Solve log7-2b-9=6
raketka [301]

Answer:

See the image below:)

Step-by-step explanation:

4 0
3 years ago
A cylindrical container has a base area of 100 m^2 and is 12m high. If the container is one water, what's the volume of the wate
a_sh-v [17]
The answer is:  [C]:  " 1200 m³ " .
_______________________________________________________
Explanation:
_______________________________________________________
Volume of a cylinder = (Base area) * (height) ;

                                 =  (100 m²) * (12 m) ;

                                 =  1200 m³  ;  which is:  Answer choice: [C] .
_______________________________________________________
6 0
3 years ago
Other questions:
  • Divide -3x^3-2x^2-x-2 by x-2
    5·1 answer
  • The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the quadrilateral?
    12·1 answer
  • Your name is included in a list of 6 names. One name is selected at random. Write the probability, as a decimal, that it is your
    11·1 answer
  • PLEASE I NEED AN ANSWER NOW JUST PLEASE I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ON
    7·1 answer
  • Help pls I need it before 11:59
    7·1 answer
  • Can someone help me out I need help!
    5·2 answers
  • Find the area of the circle.<br> Use 3.14 for it.<br> (<br> d = 8 cm<br> A = [?] cm2<br> A=Tr2
    14·1 answer
  • Brainly please help I been asking
    14·1 answer
  • A bag contains 4 red balls and 6 green balls. You plan to select 3 balls at random. Determine the probability of selecting 3 gre
    10·2 answers
  • 1. If 15% of adults in a certain country work from home, what is the probability that fewer than 42 out of a random sample of 35
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!