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
vladimir2022 [97]
2 years ago
5

Need help on this please

Mathematics
1 answer:
vovikov84 [41]2 years ago
6 0

9514 1404 393

Answer:

  71°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠H = 180° -109° = 71°

_____

<em>Additional comment</em>

The above rule comes from the more general rule that the measure of an inscribed angle is half the measure of the arc it intercepts. Here, inscribed angle J intercepts arc GHI, so that arc has measure 2×109°. Then the measure of short arc GI is 360° -2×109°, and inscribed angle H is half that:

  ∠H = (1/2)(360° -2×109°)

  ∠H = 180° -109° = 71°

You might be interested in
Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014
anastassius [24]

Answer:

  • 12. x = 6, side = 83
  • 13. x = 18, side = 29
  • 14. x = 11, sides = 74, 74 and 37
  • 15. x = 23, sides = 95, 95 and 108

Step-by-step explanation:

<em>11 is incomplete, can't solve</em>

12

<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>

  • 13x + 5 = 17x - 19
  • 17x - 13x = 5 + 19
  • 4x = 24
  • x = 6

<u>Each side is:</u>

  • 13*6 + 5 = 78 + 5 = 83

13.

<u>Sides are equal as triangle is equilateral</u>

  • QR = 2x - 7
  • RS = 5x - 61
  • QS = x + 11

<u>Finding x by comparing two sides</u>

  • 2x - 7 = 5x - 61
  • 5x - 2x = 61 - 7
  • 3x = 54
  • x = 18

<u>Sides are equal</u>

  • 18 + 11 = 29

14.

<u>Equal sides of isosceles triangle:</u>

  • CD = DE
  • 9x - 25 = 6x + 8
  • 9x - 6x = 8 + 25
  • 3x = 33
  • x = 11

<u>Sides are</u>

  • CD = DE = 9*11 - 25 = 99 - 25 = 74
  • CE = 10*11 - 73 = 110 - 73 = 37

15.

<u>Equal sides of isosceles triangle WXY, WX = WY</u>

  • WX = 4x + 3
  • WY = 7x - 66
  • XY = 5x - 7
  • 4x + 3 = 7x - 66
  • 7x - 4x = 3 + 66
  • 3x = 69
  • x = 23

<u>Sides are:</u>

  • WX=WY = 4*23 + 3 = 95
  • XY = 5*23 - 7 = 108
6 0
3 years ago
Read 2 more answers
68% of johns school are boys. There are 180 more boys than girls. How many students are there in johns school
Ghella [55]

Answer:

500 students in the school

Step-by-step explanation:

100 - 68% = 32%

boys percentage 68%

girls percentage 32%

difference 68 - 32 = 36% = 180

36 ÷ 18 = 2 × 50 = 100

180 ÷ 18 = 10 × 50 = 500

4 0
3 years ago
Read 2 more answers
Which expresión is equvalient yo 810-210+20+20
andrezito [222]

Answer:

640

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Does this figure have rotational symmetry?
natima [27]

Answer:

no

Step-by-step explanation:

because  a shape is rotational symmetrical when it looks the same after <em>any rotation</em> by partial turn.

6 0
3 years ago
Read 2 more answers
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. c
goldenfox [79]

The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

<h3>What is the standard deviation?</h3>

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have a data set:

8, 16, 14, 8, 16

As we know the formula for standard deviation is:

\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}

Here σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observation in data set.

X = (8+16+14+8+16)/5 = 12.4

n = 5

After calculating the standard deviation will be:

σ = 3.67

Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.

New standard deviation:

σ(new) = 3.67

The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ1

6 0
2 years ago
Other questions:
  • Given (x) = -3x+2, evaluate f(5)
    13·1 answer
  • Use rounding numbers or compatible numbers to estimate the sum
    10·1 answer
  • Help me please thank you
    7·1 answer
  • Point A' is a dilation of point A. Find the scale factor: A (18, 9) A' (6, 3)
    12·1 answer
  • Independent Practice
    5·1 answer
  • En un molino azucarero cada trabajador recibe un bono mensual de $100.00 el trabajadorbtiene la opcion de gtar dicho bono comora
    7·1 answer
  • ONE EIGHTH OF TONYS BOOKS ARE MYSTERY BOOKS. HE HAS 3 BOOKS. HOW MANY BOOKS DOES TONY HAVE IN ALL
    6·1 answer
  • Help me please help help meee help I’m
    14·1 answer
  • Find the missing length of the triangle.<br> 12 cm<br> 15 cm
    10·1 answer
  • A clothing company is printing its fall catalog. Each copy of the catalog will be 347 pages long. If the printer has printed 7,2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!