The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.




What is the length of the lower base, ZX?


14 units

units

18 units

units

Answers

Answer 1

Answer:

18units

Question:

The complete question as seen from other website is stated below:

The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

What is the length of the lower base, ZX?

Step-by-step explanation:

VW = 10units

WY = 8√3

XY = ?

ZX = ?

Find attached the diagram obtained from the information (1st image).

To determine XY, we would apply the tangent ratio.

Tan 60 = opposite/adjacent

Tan60 = (8√3)/XY

XY = (8√3)/ Tan60

In a 30°-60°-90° triangle theorem:

Find attached the diagram (2nd image)

Tan 60 = opposite/adjacent

Tan 60 = √3/1

Tan60= √3

XY = (8√3)/ Tan60

XY = (8√3)/√3

XY = 8units

ZX = ZY + XY

VW = ZY = 10units (the breadth of rectangle are equal)

ZX = 10 + 8

ZX = 18 units

The Height Of Trapezoid VWXZ Is Units. The Upper Base,VW, Measures 10 Units. Use The 30-60-90 Triangle
The Height Of Trapezoid VWXZ Is Units. The Upper Base,VW, Measures 10 Units. Use The 30-60-90 Triangle

Related Questions

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?

Answers

Answer: I answered most of your question below

Step-by-step explanation:

Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.

But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.

I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial, and it is represented as:

[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

The difference of square binomials is represented as:

[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]

Sums and difference of cubes

When cubes are added or subtracted, they can be expressed using the following

[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes

[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes

Read more about binomial and trinomial at:

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If angle ABC measures 40 degrees, what does angle ADC measure

Answers

Answer:

what shape is ABCD?

Answer:

Step-by-step explanation: 60%

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

In the problem, we are given an equation. h(t) = -20 + 11t

In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.

t = 11

h(11) = -20 + 11(11)

h(11) = -20 + 121

h(11) = 101

So, h(11) is equal to 101

Answer:

101

Step-by-step explanation:

h(t)= -20+11t

h(11)= -20+11(11)

h(11)= -20+121

h(11) = 101

Which of the following best describes the type of probability used in the
scenario below?
Rhea randomly drew a marble out of a bag of marbles, then put it back. She did this 21 times. Of the 21 times, she drew a yellow marble 7 times. She concluded that the probability of drawing a yellow marble was 1/3

A. Theoretical
B. Random
C. Unpredictable
D. Empirical

Answers

Awnser is C. Random cuz thats how i chose this answer... its was random

What is angle m 2 ? What is angle m 1?

Answers

Answer:

Angle measure two is equal to 75º and Angle measure one is equal to 105º

Step-by-step explanation:

I know this because angle one is alternate exterior angle with angle 7 and angle seven forms a staight line with angle 75 so to find angle 7 you have to do 180-75 and that would equal 105.

for angle two it is interior angles with angle 75 so this means that are congruent angles which means they both have the same measure

Answer: <2 is 75 degrees & <1 is 105 degrees

Step-by-step explanation:

a wedding ring costs £13000. Work out the price after a 11% increase

Answers

when £13000 is increased by 11% the new value becomes to £14430

Answer:

14430 pounds

Step-by-step explanation:

Given that:

cost of ring: 13000

percentage increase: 11%

So, to find the new cost, we have to find the increase cost, in pounds:

11 / 100 times 13000 = 1430 pounds.

NOW to calculate the new cost, we add the increase cost to the original:

13000 + 1430 = 14430

Please mark brainiest

how many 1/2’s are in 5 and 3/4’s

Answers

Answer:

11 and a 1/2

Step-by-step explanation:

I'm not sure if this is correct but here is my reasoning....

per every 1 there are two 1/2's so multiply 5x2 to get 10.

next, 1/2 is equivelent to 2/4 so subtract 3/4-2/4 (adding another 1/2 to our previous answer of 10 to get 11) and you have 1/4 left.

lastly, since 1/4 is half of 1/2, add 1/2 to 11 to get the final answer of 11 and a 1/2.

there are 11 and a half 1/2's in 5 and 3/4.

75
Which expression is equivalent to
72?
(7.5) (7.2)
(7-7-7-7-7) (7.7)
7.5
7.2
7.7.7.7.7
7.7

Answers

Answer:b

Step-by-step explanation:

Answer:

its b on edg 2020.

Step-by-step explanation:

i got it right :)

(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

Which statement best describes how accurate she can expect her prediction to be?


Her prediction will probably be close to the actual value.

Her prediction will be unlikely to be close to the actual value.

Her prediction will be somewhat likely to be close to the actual value.

Her prediction will very likely be close to the actual value.

Answers

Answer:

Her prediction will be somewhat likely to be close to the actual value.

Step-by-step explanation:

A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.

Her prediction will be somewhat likely to be close to the actual value.

We have given that,

Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

We have to determine the correct statement.

What is the correlation coefficient?

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.

A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak.

Therefore, the right answer is C.

To learn more about the correlation coefficient visit:

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Can someone help me ?

Answers

Answer:

-2

-1

Step-by-step explanation:

The y-intercept is the point on the y-axis intersected by the graph.

y-intercept is -2

The x-intercept is the point on the x-axis intersected by the graph.

x-intercept is -1

Answer:

see below

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at x = -1

(-1,0)

The y intercept is where it crosses the y axis

It crosses at y = -2

(0,-2)

Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)

Answers

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?

Answers

b because you end up actually walking 18 miles .

HOW DO I FIND THE AREA OF DEF?

Answers

Answer:

169.7

Step-by-step explanation:

first lets find the other side of the small triangle

cos(30 degrees)=(7*sqrt (3))/x

x*cos(30 degrees)=7*sqrt (3)

x=(7*sqrt (3))/cos(30 degrees)

x=14

14/14=1

so proportion is 1/1

thus the bottom the outer part of the triangle is also 7*sqrt(3)

now, for the area

lets find the 2 side length of the triangle we need

DE: 14+14=28

DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)

let's find EF,

sin(30 degrees)=x/28

x/28=sin( 30 degrees)

x=28*sin( 30 degrees)

x=14

A=(14*sqrt(3))*14*0.5

A=(14*sqrt(3))*7

A= around 169.7

Answer:

≈169.7

Step-by-step explanation:

cos30 = (7[tex]\sqrt{3}[/tex])/x

x= (7[tex]\sqrt{3}[/tex])/cos30 = 14

h = 14+14 = 28

sin30 = EF/28

EF = sin30 * 28 = 14

tan30 = 14/DF

DF = 14/tan30 ≈ 24.248

Area = 24.248*14/2 ≈ 169.74 ≈ 169.7

is x^2 + y^2 = 5 a function

Answers

Answer:

No it is not a function.

Step-by-step explanation:

Answer:

No. This is NOT a function.

Step-by-step explanation:

How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms

Answers

Answer:

Step-by-step explanation:

x^2 + xy + y^2 has 3 terms they are:

x^2,   xy, and y^2

hope it helps

plz mark as brainliest!!!!!!!!!!

The polynomial x²+xy+y² has 3 terms. Option C is correct.

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given polynomial;

⇒x²+xy+y²

The three terms are as follows;

xy

The polynomial x²+xy+y² has 3 terms.

Hence, option C is correct.

To learn more about polynomials, refer to:

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WILL GIVE BRAINLIEST ANSWER. Angle BCD is a circumscribed angle of circle A. Circle A is shown. Line segments B A and D A are radii. Tangents B C and D C intersect at point C outside of the circle. A line is drawn to connect points A and C. The length of A B is 8 and the length of B C is 6. Angle C A D is 37 degrees. What is the length of line segment AC? 10 units 12 units 14 units 16 units

Answers

Answer:

Length of AC segment=10 units

Step-by-step explanation:

We are given that AB and DA are radius of circle.

BC and DC are tangents of circle which intersect at point C.

AB=8 units

BC=6 units

Angle CAD=37 degree

We know that radius is always perpendicular to the tangent.

Therefore, AB is perpendicular to BC.

Using Pythagoras theorem

[tex](Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC^2=8^2+6^2=100[/tex]

[tex]AC=\sqrt{100}=10 units[/tex]

Answer:

a.) 10 units

Step-by-step explanation:

correct on edg.

Which algebraic expression represents this mathematical statement?
75 less than a number
O A. 75-n
O B. n-75
O C. n: 75
O D. n+ 75​

Answers

Answer:

B

Step-by-step explanation:

Subtraction mean how much less than a number

Can someone help with this? I don't understand how to do it.

Answers

Answer:

(x+6)² = 13

Step-by-step explanation:

(x+6)2=13

Explanation:

Una fábrica mando a hacer recipientes que están formando por un cilindro y un cono unidos por la base, el volumen es de 41.86cm3, si el radio es de 2cm ¿cual es el largo del recipiente?

Answers

Answer: Suponiendo que la altura del cono y la del cilindro son iguales.

[tex]\pi r^2\times h+\frac{1}{3} \pi r^2\times h=41.86\\\pi (2)^2\times h+\frac{1}{3} \pi (2)^2\times h=41.86\\\\Solving\;for\;h\\h=2.49833[/tex]

An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.

Answers

Answer:

.116

Step-by-step explanation:

7 pink and 5 black balls. = 12 balls

P( pink) = pink balls/ total = 7/12

replace

P( pink) = pink balls/ total = 7/12

so  this is true for each case

P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736

                                        =.115788966

To 3 decimal places

.116

Sonia works at a bakery. The function

Answers

Answer:

I think the function is that she is working.

Investigate the relationship between the T-total and the T-number.​

Answers

Answer:

feed me brainly points

Step-by-step explanation:

brainliest?

What is the measure of angle Q to the nearest whole degree?
43°
49°
53°
58°

Answers

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

[tex]cos^{-1}Q = 0.604[/tex]

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.

How to calculate the measure of angle Q?

Based on the triangle attached in the image above, we can deduce the following parameters:

Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.

In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:

MN² = QM² + QN² - 2(QM)(QN)cosθ

17² = 18² + 20² - 2(18)(20)cosθ

289 = 324 + 400 - 720cosθ

720cosθ = 724 - 289

720cosθ = 435

θ = cos⁻¹(435/720)

θ = cos⁻¹0.6042

θ = 52.8 53°.

Read more on cosine function here: brainly.com/question/4599903

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12) The sum of two natural numbers is 30. If one of the numbers is one-
fifth of the other, then what is the product of both the numbers?
a) 5
b) 25
c) 30
d) 125​

Answers

Answer:

D.) 5 x 25 = 125

Step-by-step explanation:

The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.

Answer:

A) X + Y = 30

B) X = .2Y OR X - .2Y = 0

We subtract B) from A)

1.2Y = 30

Y = 25  X = 5

X * Y = 125

Answer is d.) 125

Step-by-step explanation:

what is 1.8 increased by 10 to make a new mean

Answers

Answer:

18

Step-by-step explanation:

1.8*10= 18/10*10=180/10=18

Solve for x.
8x - 4 = 2x - 3

Answers

8x-4=2x-3  

One solution was found :

                  x = 1/6 = 0.167

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x-4-(2*x-3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    6x-1 = 0  

Add  1  to both sides of the equation :  

                     6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution was found :

                  x = 1/6 = 0.167

i am not solving for x i am solving for you lol!!!

help pls!


A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?

show work pls

Answers

Answer:

the probability that the next gumball that comes out will be neither yellow nor blue = 6/17

Step-by-step explanation:

neither yellow nor blue gumball = pink gumball = 6

3 yellow + 8 blue + 6 pink = total =17

What is the solution to this system of linear equations?

7x – 2y = –6

8x + y = 3

(–6, 3)
(0, 3)
(1, –5)
(15, –1)

Answers

Answer:

de correct one is

x 0

y 3

hope u got it

GIVE ME THE COORDINATES!!!

Answers

Answer:

(0,1)

Step-by-step explanation:

The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.

I hope this helps!

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:

Its A

Thats because if you draw it then you will find that the vertex is 8, -8

A,

(8, -8)

THANKS FOR GIVING BRAINLIEST

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