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
Sophie [7]
2 years ago
13

50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
6 0

Answer:

  (b) 27°

  (c) 34°

  ( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

  • angles of a linear pair total 180°
  • angles of a triangle total 180°
  • vertical angles are congruent
  • corresponding angles at a transversal crossing parallel lines are congruent

<h3>(b)</h3>

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

  (180° -6x) +90° +(180° -4x) = 180°

  270° = 10x . . . . . . . . . add 10x and simplify

  27° = x

<h3>(c)</h3>

The vertical angles at S are congruent. This tells us ...

  3x +∠PSQ = 4x

  ∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

  x +x +(180° -68°) = 180°

  2x = 68° . . . . . . . . add 60°-180°

  x = 34° . . . . . . . . . divide by 2

<h3>( )</h3>

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

  2x +2x +72° = 180°

  4x = 108° . . . . . . subtract 72°

  x = 27° . . . . . . . . divide by 4

You might be interested in
Round 3.282828... To the nearest thousandth
Vinil7 [7]
3.283 you look one decimal place to the right which is an 8. Since this is greater than 5, the two in the thousandth place is rounded up to a three.
3 0
4 years ago
Simplify 6 + 7.2y - 4.2y + 1
jok3333 [9.3K]

Answer:

3y+7

Step-by-step explanation:

6+7.2y+−4.2y+1

(7.2y+−4.2y)+(6+1)

3y+7

5 0
3 years ago
Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second.
borishaifa [10]
24 degrees per second is 360 degrees in 15 seconds (pretty fast for a Ferris wheel!).

a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)


b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer

You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.

4 0
4 years ago
What is the x-intercept of the line with this equation −2x 1/2 y=18? enter your answer in the box.
Ad libitum [116K]
-2x+1/2y=18
xint is where y=0
-2x+0=18
-2x=18
divde by -2

x=-9

xint isi (-9,0)
7 0
4 years ago
What is 7 divided by 906 (add remainder)
denis23 [38]
I hope this helps but the answer is 913 hope it helps
6 0
3 years ago
Other questions:
  • The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 77
    8·2 answers
  • Plz help me with my math :)
    7·1 answer
  • 54,860,000 round to the nearest ten million
    7·2 answers
  • List three words or phrases used in real life that indicate negative numbers.
    14·1 answer
  • a rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle. round to the nearest
    9·2 answers
  • Please help me with this question​
    15·2 answers
  • Divide -5/6 divided by -10 very urgent
    12·2 answers
  • A retail outlet's sales for January were $45,000. In February, these sales decreased 10%; but from February to March, sales incr
    13·1 answer
  • Which point would not be a solution to the system of linear inequalities shown below ?
    5·1 answer
  • A blueprint shows a layout of a building.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!