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
A jacuzzi that holds 250 gallons of water drains at a rate of 9 gallons per minute. Write an equation that represents how many g
ki77a [65]

Step-by-step explanation:

Amount of water left = 250 - 9x.

6 0
3 years ago
It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
exis [7]
The answer is B because they never pass through each other therefore it has infinite possibilities
7 0
2 years ago
Kevin counts 75 chicks in the hen house. He also sees more chicks outside the hen house. How can Kevin count to find how many ch
stellarik [79]

What we know:

we know that there are <u>75</u> chicks in the hen house, we also know that in all there are 108 chicks

What we need to find:

we need to find out how many chicks were outside

Answer equation:

108 - 75 = 33

8 0
3 years ago
A department store sells small boxes in which customers can store potpourri. The diagram below shows one of the boxes. The diagr
larisa86 [58]
The lateral area is expressed as the product of the perimeter of the base and the height. While the surface area is the sum of all areas. The lateral area and the surface area of the box is calculated as follows:

LA = Ph 
P = 2l + 2w = (2 x 17) + (2 x 5) = 44 cm
LA = 44 cm x 3.12 cm = 137.28 cm

SA = 2(lw + wh + lh)
SA = 2[(17x5) + (5x3.12) + (17x3.12)]
SA = 307.28 cm

Thus, the lateral area and the surface area are 137 cm and 307 cm, respectively.
8 0
3 years ago
Other questions:
  • Help last question!!! Please
    15·1 answer
  • The foci of the hyperbola are ( 13 , 0) and (− 13 , 0), and the asymptotes are y = 12 x and y = − 12 x. find an equation of the
    5·1 answer
  • D^-2(d^3)^4/d^5= ???<br> I think it is d^5 but I’m not sure
    10·1 answer
  • Find the median of the set of data.
    10·1 answer
  • The slope of the line passing through the points (-1, 5) and (1, 6) is no slope 1/2 5/4
    9·2 answers
  • What are the domain and range of f(x) = 2|x -4|? <br> plz i'm in need
    9·1 answer
  • AYUDAAAAAAA!!!!!
    10·1 answer
  • I WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!!!
    9·1 answer
  • How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT
    11·1 answer
  • The graph F(x) shown below resembles the graph of G(x)=x³, but it has been flipped over the x-axis. Which of the following is th
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!