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
seropon [69]
3 years ago
8

Please help. Thank you :)

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Okay, first let's look at what they give us!


The measure of angle 2 is 3x + 1


Measure of angle 3 is 2x + 4


And they give us that one angle is right which means it is 90°


Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:


3x + 1 + 2x + 4 + 90 = 180


First we will add together liked terms!


3x + 2x = 5x


1 + 4 + 90 = 95


This gets us:


5x + 95 = 180


Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:


5x = 85


Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:


x = 17


Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1


51 + 2 to get us 52!


Answer: 52

You might be interested in
F(x)=x^3+3
lawyer [7]

Answer:

  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0
3 years ago
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 2. The perimeter of the triangle is 95. Find x
adell [148]

Answer:

x = 11

Step-by-step explanation:

sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal

perimeter is the sum of all sides, so set up equation:

95 = 4x - 2 + 4x - 2 + x

95 = 8x - 4 + x

95 = 9x - 4

99 = 9x

x = 11

5 0
3 years ago
Find the area of the shaded region.<br> 8 in<br> 24 in
zloy xaker [14]

Answer:

96 in^2

Step-by-step explanation:

area of rectangle: 24*8=192

Area of triangle: (1/2)*base*height

= .5 * 8 * 24

=192/2

=96

area of shaded=rectangle - triangle

= 192-96

which is also just 192/2

so it is 96

4 0
2 years ago
Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat
zhenek [66]
Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43
8 0
3 years ago
What's the weight/answer
DerKrebs [107]
I would assume that you convert 2.5 ounces into punds which would make it 0.15 lbs. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • William the researcher conducted a study on monitor size and reaction time. The research matrix is given below. 17 inch 19 inch
    7·1 answer
  • What is the area in square kilometers of trapezoid with bases 5km and 7 km and height 3 km
    7·1 answer
  • Which problem can be solved using this inequality?<br> x + 5 ≤ 20
    9·2 answers
  • What the answer to this problem 4(9p+6)
    14·1 answer
  • 30 points if you can answer this question and tell me how to do it
    15·1 answer
  • the fail rate for taking a bar exam in Philadelphia is 41% if 375 people take the bar exam, what is the mean for the number of f
    10·1 answer
  • Multiplication between exponentiation number 648
    12·1 answer
  • PLEEAAASE HELPPPPP<br><br>Distance = ________ x time<br><br>A. flow<br>B. rate<br>C. work​
    11·2 answers
  • The sum of two numbers is 100. One number is 4 times the other. The largest number is ; (a) 90 (b) 70 (c) 80 (d) 20
    15·1 answer
  • What value of X is always
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!