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
jek_recluse [69]
1 year ago
15

Find the values of the variables in the parallelogram. The diagram is not drawn to scale. (Image is attached below)thank you in

advance :)

Mathematics
1 answer:
irina1246 [14]1 year ago
4 0

For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.

Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

x=33º

The opposite angles in a parallelogram are congruent, therefore:

z=109º

The sum of internal angles is 360º, therefore we have:

\begin{gathered} 2\cdot109+2\cdot(x+y)=360\\ \\ 218+66+2y=360\\ \\ 284+2y=360\\ \\ 2y=360-284\\ \\ 2y=76\\ \\ y=38 \end{gathered}

The value of x is 33º, the value of y is 38º and the value of z is 109º.

You might be interested in
Help NEEDED!!!! plzzzzzz.....
julsineya [31]
Sin30= opposite/hypotenuse
sin30= AC/10
AC= 4.5cm
Tan25= opposite/adjacent
Tan25= 4.5/ CD
CD= 10.7
7 0
3 years ago
I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!
polet [3.4K]

Answer:

(f\circ g)(4)=31

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

(f\circ g)(x)=f(g(x))

For practical purposes, it can be found by substituting g into f.

We have:

f(x)=3x+1

g(x)=x^2-6

Computing the composite function:

(f\circ g)(x)=f(g(x))=3(x^2-6)+1

Operating:

(f\circ g)(x)=3x^2-18+1

Operating:

(f\circ g)(x)=3x^2-17

Now evaluate for x=4

(f\circ g)(4)=3(4)^2-17=48-17

\boxed{(f\circ g)(4)=31}

8 0
3 years ago
Can someone pls pls pls help me with this ?
Yakvenalex [24]

Answer:

i have

Step-by-step explanation:

said what

8 0
2 years ago
Read 2 more answers
In x^a=y, y^b=z, z^c=x, then prove that abc=1​
Marysya12 [62]

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

7 0
2 years ago
Read 2 more answers
According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor le
Schach [20]

Answer:

The ball was hit with the speed of 43.31m/s, and with 52m above the fence

Step-by-step explanation:

Using law of projectile motion,

Let V be the initial speed of the ball. The ball will move at a constant speed horizonally but accelerates vertically in x-direction, and in the y-direction at angle 51°

Break down the intial speed

Vx = Vcos51

Vy = Vsin51

find the time it takes the ball to hit the ground 188m away horizonally

x = vt

188 = Vcos51 × t

t = 188 / Vcos51

Using the equation

Xf = 1/2at^2 + Vt + Xi

=Xf = .5at^2 + Vt + Xi

Where

Xf = final position (0m)

Xi = initial position (.9m)

a = acceleration (taken as 9.8m/s )

t = time

V = speed in y-derection

Plug in 188 / Vcos51 for time

0 = 0.5(-9.8)(188 / Vcos51)^2 + Vsin51 × (188 / Vcos51) + 0.9

-0.9 = -4.9(188 / Vcos51)^2 + 232.2

-233.1 = -4.9(188 / Vcos51)^2

47.57 = (188 / Vcos51)^2

Square root both sides

6.897 = 188 / Vcos51

6.897 × Vcos51 = 188

V = 188 / (6.897cos51)

V = 43.31 m/s

The ball was hit with the speed of 43.31m/s

B)

Find the it takes the ball to travel 116m using

x = vt

116 = 43.31cos51 × t

t = 4.26s

Xf = 0.5at^2 + Vt + Xi

Xf = 0.5(-9.8)(4.26s)^2 + 43.31 sin51 (4.26s) + .9

= -88.92324 + 144.2838961764

Xf = 55.36m aprx 55m

the ball was 55m - 3m = 52m above the fence

5 0
3 years ago
Other questions:
  • How many cubic feet of water can a 18 inch by 19 inch by 36 inch aquarium hold?
    8·2 answers
  • Which of these lines has a negative slope?
    15·1 answer
  • Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
    8·1 answer
  • I don't know how to graph y=6/5x+1<br> can someone help me?
    13·1 answer
  • Solve the compound inequality and graph<br> Please help! :)
    7·1 answer
  • What is the equation (in slope-intercept form) of a line that passes through the point (3, -2) and has a slope of -2?
    9·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each situation to its corresponding
    13·1 answer
  • 2. convert the following degrees to redians. 3. Convert the following radians to degrees.​
    11·1 answer
  • What are two ratios that are equivalent to 2: 12.<br> Choose 2 answers:
    7·2 answers
  • Which multipilcation expression is equal to 2 over 5 divided by 2 over 3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!