Give the value of x in each quadrilateral. Then state if the quadrilateral is a Trapezoid. Why/why not? (Hint: Shapes are not drawn
to scale)

Give The Value Of X In Each Quadrilateral. Then State If The Quadrilateral Is A Trapezoid. Why/why Not?

Answers

Answer 1

Let's focus on the figure on the left.

For any quadrilateral, the angles always add up to 360. We'll use this to find x.

105+80+75+x = 360

260+x = 360

x = 360-260

x = 100

Now notice that the pair of adjacent angles 105 and 80 add up to 105+80 = 185, which is not 180. Similarly, the adjacent angles 80 and 75 add to 155 which is not 180.

This is enough to show that we don't have any parallel lines here. If we did have parallel lines, then adjacent angles would add to 180.

Since none of the lines are parallel, this figure is not a trapezoid

Any trapezoid has exactly one pair of parallel lines.

-------------------------------------------------------------------------------------

Move onto the figure on the right

We'll follow the same ideas mentioned in the last section.

x+110+92+88 = 360

x+290 = 360

x = 360-290

x = 70

Note how the adjacent angles 70 and 110 add to 70+110 = 180. This shows they are supplementary angles and that we do have a set of parallel lines (top and bottom). In contrast, the angles 110 and 92 do not add to 180, so that helps us see we only have one pair of parallel lines.

Therefore, the figure is a trapezoid


Related Questions

What is the distance between (4,6) and (9,15)?

Answers

Answer:

10.2956

Step-by-step explanation:

The distance  between (4,6) and (9,15) is √87.

What is distance formula?

The distance between the points P ([tex]x_1, y_1[/tex])and Q ([tex]x_2, y_2[/tex]) is

PQ = √[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])² , which is called the distance formula.

Given coordinates: (4,6) and (9,15)

Using distance formula:

=√[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])²

= √[tex](9 -5[/tex]) ² + ([tex]15 -6[/tex])²

=√[tex](4[/tex]) ² + (9)²

= √16 + 81

=√87.

Hence, the distance between  (4,6) and (9,15) is √87 units.

Learn more about distance formula here:

https://brainly.com/question/2287272

#SPJ2

What is the measure of arc XZ?​

Answers

ohh dear u still have school i have a holiday for two months

what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in

Answers

Answer:

311.01 in^3

Step-by-step explanation:

Volume of cylinder = pi*r^2*h

Volume of cylinder = pi*9*11=311.01 in^3

Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?

The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.

Answers

Answer:

the third option

Step-by-step explanation:

HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT

Answers

Answer:

-9

Step-by-step explanation:

[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]

can anyone help me please?

Answers

Answer:

yes i can help you with all the time

x2 + y2 = 9
x + y = 2

Answers

Answer:

I think its 4,5. Not entirely sure but it makes sense

Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545

Answers

0.45 I took the test

Is 24 a possible output value? Why or why not? Describe the dominan of this function. Describe the range of this function

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to provide the function.

This question cannot be answered,

No, 24 is not a possible output value.

The domains are -2, 0, 3, and 11.

The range is -1, 4, 14, and 38.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function is given in the figure.

The outputs are -1, 5, 14, and 38.

The domain of the function is -2, 0, 3, and 11.

The range of the function is -1, 5, 14, and 38.

Thus,

24 is not a possible output value.

Domains are -2, 0, 3, and 11.

Range are -1, 4, 14, and 38.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

PLEASE HELP ANGLE OF TRIANGLE

Answers

Answer:

my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:

add the two known angles.

41+107 = 148

that means the exterior angle is equal to 148

x=148

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,

In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.

41+107+n=180

148+n=180

n=32

So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles

180-32 = 148°

And that is you’re answer!

Which equation does not describe a linear function?
y = 7
y = 2x2 – 5
2y = 3x - 9
4x – 6y = 13

Answers

Answer:

The second option

Step-by-step explanation:

All the other choices can be graphed as straight lines, but only the second option is a parabola

Answer:

y = 2x² – 5

Step-by-step explanation:

y = 2x² – 5 is not lineal function since x is raises to an exponent.


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:area of the circle=πr²

3.14 =3.14 ×r²

= 1

r. =1 millimeters

A square picture is 8 inches on each side. It is scaled by 74%. What are the dimensions of the new picture

Answers

9514 1404 393

Answer:

  5.92 inches on a side

Step-by-step explanation:

The new dimension is the original dimension multiplied by the scale factor.

  (8 in)(74%) = 5.92 in

Help pls , will give brainliest!

Answers

Answer:  6

=======================================

Work Shown:

1 liter = 1000 mL

3 liters = 3000 mL

I multiplied both sides by 3.

Divide that result over 500 to get 3000/500 = 6

So she'll need to buy 6 cartons.

-------

You could also solve like this:

(1 carton)/(500 mL) = (x cartons)/(3000 mL)

1/500 = x/3000

1*3000 = 500*x ... cross multiply

3000 = 500x

500x = 3000

x = 3000/500 .... dividing both sides by 500

x = 6

Please help me. Study island is hard

Answers

Answer: 5/12

Step-by-step explanation:

13-7 = 5

16-4 = 12

A the answer is A have a nice day

Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6

Answers

Answer:

6x

Step-by-step explanation:

9x - 3x

[When like terms are combined then as per statement they get subtracted]

= 6x (Ans)

the answer is 6x.

hope this helps!

Please help me, please and thank you it would mean a lot.

Answers

Hey! 576 feet of lacquer will be needed to cover the floor. I know this because the formula to find this shape is base * night and 12 * 48 is 576.

For the next question the answer is that she needs 120 ft.

This confuses me a little because it keeps saying like “will the person have enough” but it does not say what the number is. I might be wrong for the second one and I am sorry if I am. Have a great summer!!!!

From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)

Answers

Answer:

Domain(-4,4) and Range:(-3,0)

Step-by-step explanation:

Because the graph goes through - 4 and 4

Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).

Answers

Answer:

y = 5/3x + 48

Step-by-step explanation:

y2 - y1 / x2 - x1

28 - 8 / -12 - (-24)

20 / 12

5/3

y = 5/3x + b

8 = 5/3(-24) + b

8 = -40 + b

48 = b

Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment QR such that the ratio of QP to PR is 2

Answers

Step-by-step explanation:

the answer in photo above

Pls urgent Will mark brainiest














Whats 2+2

Answers

Answer:

4 haha lol lol

Step-by-step explanation:

2+2 is 4 lol

For the function y = -2x + 4, the input is 3. What is the output?​

Answers

Answer:

The output is -2 when the input is 3.

Step-by-step explanation:

You're actually being asked to evaluate y = -2x + 4 at x = 3.  x is the 'input' and y is the 'output.'

At x = 3, y = -2(3) + 4 = -2

The output is -2 when the input is 3.

Please answer properly.

Answers

Answer:

1) [tex]b=6[/tex]

2) [tex]m=4[/tex]

3) [tex]p=12[/tex]

4) [tex]x=-1\frac{2}{6}[/tex]

Step-by-step explanation:

[tex]b+6=12[/tex]

subtract 6 from both sides

[tex]b=6[/tex]

---------->>>>

[tex]9m=32+4[/tex]

combine like terms

[tex]9m=36[/tex]

divide both sides by 9

[tex]m=4[/tex]

---------->>>>

[tex]21=p+9[/tex]

Subtract 9 from both sides

[tex]12 = p[/tex]

---------->>>>

[tex](10+5)+3x=0[/tex]

Add within the parenthesis

[tex]5+3x=0[/tex]

subtract 5 from both sides

[tex]3x=-5[/tex]

divide both sides by 3

[tex]x=-1\frac{2}{6}[/tex]

Hope this is helpful to you.

The graph represents this relation (blank) the function that coincides with this relation is... select the correct answer from each drop down menu

Answers

Answer:

x = 5*|y|

Step-by-step explanation:

We know that the function is something of the form:

x = |a*y|

We know this because the vertex of the function is in the point where the value of the absolute part is zero, this is when y = 0

and:

x = |a*0| = 0

(0, 0)

Now let's look another point where the graph passes through to find the value of a.

We can see that the graph also passes through the point (5, 1) and (5, -1)

Then, when y = 1, we must have x = 5

Replacing these in our equation we get:

x = |a*y|

5 = |a*1|

5 = |a|

then we can have

Then we can rewrite:

x = |a*y| = |a|*|y| = 5*|y|

x = 5*|y|

The correct option is the last option.

math subject

true or false about geometry and measurement Garde 6

true or false

two rays with the same end point from an angel

I will give u branilist​

Answers

Answer:

True

Step-by-step explanation:

An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.

Answer:

false

Step-by-step explanation:

two rays with don't have the same end point from an angle

a 25% tip was payed on a 30$ meal what is the amount of the tip

Answers

Answer:

$7.50

Step-by-step explanation:

30 x 0.25= 7.50

the tip is 7.50 because 20% of 30 is 7.50

The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?

Answers

Answer:

1140 square inches

Step-by-step explanation:

The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?

Area of a Trapezoid

= 1/2(b1 + b2)h

b1 =

b2 =

h =

Hence, 1/2 (50 + 45) × 24

= 1/2 × 95 × 24

= 1140 Square inches

What is the product?

Answers

Answer:

-10d⁴ + 17d²s - 6s²

Step-by-step explanation:

Multiply using FOIL

First

-2d² * 5d² = -10d⁴

Outer

-2d² * -6s = 12d²s

Inner

s * 5d² = 5d²s

Last

s * -6s = -6s²

-------------------------

Together

-10d⁴ + 12d²s + 5d²s - 6s²

Combine like terms

-10d⁴ + 17d²s - 6s²

Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000

Answers

Given:

Distance between two villages = 14 km

Map scale = 1:25000

To find:

The distance between the two villages on the map.

Solution:

Let the distance between the two villages on the map be x.

Map scale is 1:25000. So,

[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]

[tex]x=\dfrac{1}{25000}\times 14[/tex]

[tex]x=0.00056[/tex]

Therefore, the two villages are 0.00056 km apart on map.

Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree

Answers

Answer: 13.8 m

Step-by-step explanation:

Given

From point A, angle of elevation is [tex]19^{\circ}[/tex]

From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]

Suppose the height of tree is h

From figure, we can write

[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]

Similarly

[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]

Deduce the value of h

[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]

Thus, the height of the tree is 13.8 m

Other Questions
The balance in the Prepaid Insurance account after the adjusting entries have been recorded represents the: A. cost of the insurance expired during the period B. value of the insurance prepayment that remains to benefit future periods C. cash paid for insurance of current and future periods D. amount owed for insurance at the end of the accounting period Is Israel guilty of apartheid the palestinians A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down before it lands at the bottom of the river, find the depth of the river where the penny landed.please provide with the strategies please!! How was y'all day. I hope it is good The fact that "Sinners in the Hands of an Angry God" was popular suggests that the colonistsfeared Edwards and his potential impact on society.disagreed with Edwardss views about God.were interested in Edwardss ideas about religion.believed that Edwards had strong writing skills. I will give brainliest will give correct answer brainliest what is the capital of nepal mathematic question We the people of the United States, in Order to form a moreperfect Union, establish Justice, insure domesticTranquility, provide for the common defence, promote thegeneral Welfare, and secure the Blessings of Liberty toourselves and our Posterity, do ordain and establish thisConstitution for the United States of America.5According to the Preamble, which action represents an appropriate role forgovernment? Helppppppppppppppppppppppp use the circle to answer the questions A neutron collides with a nitrogen atom, resulting in a transmutation. Balance the equation.on + 'NX+1HIdentify the unknown product by identifying the unknown letters.AisZ isX is How are implied powers most often used by the United States Congress?To force the executive branch to sign new legislationTo encourage citizens to voteTo help carry out expressed powersTo give the government veto powers Explain how industrialization led imperialism and identity the terrorists acquired by the United States and the methods by which the lands were acquired. SOMEONE HELP THIS IS ON MY FINAL EXAM. Estimate the product by rounding to the nearest thousand 7 x 2,31 At the fourth and final resource, one operator handles the product. No quality problems exist at this step and the processing time is 12 minutes per unit. For every unit of demand, how many units have to flow through the second step in the process jack travelled to England in the month of October last year. which of these seasons did he experience a) autumnb) springc) summerd) winter Can someone help me again with these math work? work out(10 - 3 * 2)