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
makkiz [27]
3 years ago
14

Pls answer quickly!!!

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

x = 90

y = 100

z = -10

Step-by-step explanation:

To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.

This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.

Thus,

(x + 30)° + (x - 30)° = 180°

Solve for x

x + 30 + x - 30 = 180

x + x + 30 - 30 = 180

2x = 180

Divide both sides by 2

2x/2 = 180/2

x = 90

=>Find y:

Also, recall that opposite angles in a parallelogram are congruent.

This means, angle A and angle C in parallelogram ABCD above are equal.

Thus,

(x + 30)° = (y + 20)°

Plug in the value of x to solve for y

90 + 30 = y + 20

120 = y + 20

Subtract 20 from both sides

120 - 20 = y

100 = y

y = 100

=>Find z, if z = x - y

z = 90 - 100

z = -10

You might be interested in
Find the zero when f(x)=3x-12
Tom [10]

Answer:

\mathrm{Axis\:interception\:points\:of}\:3x-12:\quad \mathrm{X\:Intercepts}:\:\left(4,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-12\right)

\mathrm{X\:Intercepts}:\:\left(4,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-12\right)

8 0
3 years ago
The altitude of an equilateral triangle is 4.5 in. Find it's sides.
never [62]

Answer:

Step-by-step explanation:

Let the length of each side be x. We can divide the triangle into two to get two right angled triangles which side will be x (hypotenuse), 4.5 (height), x/2 for base.

Using Pythagoras's theorem

x² = 4.5² + (x/2)²

x² = 81/4 + x²/4

x² - x²/4 = 81/4

3/4x² = 81/4

x² = 27

x = √27 = 3√3 in

3 0
3 years ago
Read 2 more answers
Use this cart for my last question I posted!!
Hatshy [7]

Answer:

:)

Step-by-step explanation:

3 0
3 years ago
A candle burns at a constant rate once it is lit. The height of the candle is 250
Ierofanga [76]
It burned down 20mm in 20 minutes. So the height so the change in height of the candle per minute in -1 mm
7 0
3 years ago
Huey and Dunham (1987) measured the running speed of fence lizards, Sceloporus merriam,in Big Bend National Park in Texas. Indiv
Nadya [2.5K]

Answer:

applying one way ANOVA:

R² = SSR / SST

    = 0.133/1.807

     =0.0734

Source of Variation SS     df       MS       F   P-value    F0.05(2.27)

treatments               0.133      2      0.066      1.069   0.3574      3.354

error                       1.675     27     0.062    

Total                        1.807     29    

as p value is not significantly low:

Do the ANOVA results indicate that the null hypothesis (H0) can be rejected in favor of the alternative hypothesis (HA)? -No

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • I NEED HELP ASAP! THANKS :)
    13·2 answers
  • Sean has a bag containing x green marbles and two bags containing y blue marbles. He adds 15 marbles to the bag of green marbles
    10·1 answer
  • Without graphing, determine the domain.​
    13·1 answer
  • Steven has 5/6lb of jelly beans and 1/3lbs of gummy bears. How many more pounds of jelly beans than gummy bears does he have ?
    7·2 answers
  • Which of the following vectors are orthogonal to (-1,3)? Check all that apply. A. (1,3) B. (3,1) C. (-6,-2) D. (-2,-3)
    14·1 answer
  • Give the domain and range of the graph.
    5·1 answer
  • You can draw a quadrilateral with two sets of parallel lines and no right angles.
    12·1 answer
  • What is 0.4 repeting as afraction
    15·2 answers
  • How much did it cost trudy to get the loan for $500
    10·1 answer
  • 2)Write the equation 2x+2y=10 so that y is a function of x. Then find y when x is -2,0,2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!