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
Bogdan [553]
2 years ago
14

Find the value of the variables, giving brief reasons for your answer:​

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

You might be interested in
Geometry :))), please help me
amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

\frac{x+23}{x+41} = 0.5

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

x+23=0.5(x+41)

Now we multiply out the brackets and move the terms to different sides:

x+23=0.5x+20.5

0.5x = -2.5

x = -5

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0
3 years ago
The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
Please help with geometry
Margarita [4]

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.

8 0
3 years ago
Will get brainliest!!!!!!!!!!! <br>1 − 3(3 + 6b) = −6(3b + 1) − 2
Arlecino [84]

Answer:

b = infinity

Step-by-step explanation:

1 − 3(3 + 6b) = −6(3b + 1) − 2

1 - 9 - 18b = -18b + 1 -2

1 - 9 = 1 - 2

-8 = -1

7 0
3 years ago
Simultaneous equations<br> x^2+3xy=10<br> x=2y
satela [25.4K]

9514 1404 393

Answer:

  (x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

  (2y)^2 +3(2y)y = 10

  10y^2 = 10

  y^2 = 1

  y = ±1

  x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).

8 0
3 years ago
Other questions:
  • A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse
    9·1 answer
  • 0.13 is a rational number true or false?
    15·2 answers
  • Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care speciali
    5·2 answers
  • I need help please Algebra two
    5·1 answer
  • Marcus rented a movie 4 dollars and some video games 6 dollars each he paid 22 dollars how many games did he rent ?
    10·2 answers
  • Show work please 100 points plus brainliest
    11·2 answers
  • SOMEONE PLEASE ANSWER THIS
    5·1 answer
  • Elyse's cell phone plan allowes up to 8 GB of data each month. She received an alert that she used 95% of her Data. How much dat
    12·1 answer
  • Write the perimeter of the triangle in simplest form<br><br> can i please get help
    8·1 answer
  • I will give brainliest and 5 stars​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!