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
vovikov84 [41]
3 years ago
11

The measure of the exterior angle of the triangle is what degree?

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

(2x - 2) \degree = x \degree + 45 \degree \\  \\ (2x - 2 - x) \degree = 45 \degree \\  \\ (x - 2) \degree = 45 \degree \\  \\ (x - 2)  = 45 \\  \\ x = 45 + 2 \\  \\ x = 47 \\  \\ (2x - 2) \degree  = (2 \times 47 - 2)\degree  \\  \\ (2x - 2) \degree  = (94 - 2)\degree   \\  \\ (2x - 2) \degree  = 92\degree   \\  \\ measure  \: of  \: the  \: exterior \:  angle \\  = 92 \degree

You might be interested in
What are all the common factors?
lord [1]

Answer:

2,3,6

Step-by-step explanation:

8 0
3 years ago
Given that x= -3, what is the value of 2ײ - x + 5?​
Roman55 [17]

Answer:

26

Step-by-step explanation:

2(9)-(-3)+5

2(9)+3+5

18+8

26

3 0
3 years ago
Read 2 more answers
30 POINTS HELPPP 2. How many equivalent fractions can you write for a given fraction? Explain.
marusya05 [52]
Infinite, multiply it by any number divided by itself.
Ex. 1/2*2/2= 2/4
1/2*4/4=4/8 etc.
5 0
3 years ago
Sean reads 1 1/2 pages in 3 1/3 minutes. What is his average page per minute?
Helga [31]

Answer:

9/20 pages per minute.

Step-by-step explanation:

4 0
3 years ago
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
aivan3 [116]

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

  • 0+1 = 1
  • 1+3 = 4
  • 3+6 = 9
  • 6+10 = 16
  • 10+15 = 25

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

<h3>Answer: Square number</h3>

==========================================================

Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

<h3>Answer: Pentagonal number</h3>

8 0
2 years ago
Other questions:
  • Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
    14·1 answer
  • What is slope-intercept form?
    7·2 answers
  • Do you know how do this?
    13·1 answer
  • Use the graph of each function to describe its end behavior. *
    6·1 answer
  • Determine whether each sequence is arithmetic or geometric. sequence 1: 32, 16, 0, –16, ... sequence 2: 32, 16, 8, 4, ...
    6·1 answer
  • HELPPPPP MEEEEE ASAPPPPPPPPPPPPPPPPPP!
    14·2 answers
  • Answer for brainliest, 5 stars, plus thanks (perimiter of a right triangle 6th grade math)
    5·1 answer
  • If the subtotal (the cost of all the items bought) is $110.00, what is the sales tax if the rate is 8.25%?
    6·1 answer
  • Hurrrryy i neeed hellp The Egyptians needed to know the _________ of everyone’s land so they could determine the amount of taxes
    10·2 answers
  • Awnser this question for 10 points..... 1+9+19,000+1,000,000+60+190+30=
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!