Proving trapezoid theorems Geometry

Proving Trapezoid Theorems Geometry

Answers

Answer 1

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer 2

Answer:

Step-by-step explanation:

just did it

Proving Trapezoid Theorems Geometry

Related Questions

Which expression is equivalent to |a|≤5 ?


a ≥ –5 or a ≤ 5


a ≥ –5 and a ≤ 5


a ≤ –5 and a ≥ 5


a ≤ –5 or a ≥ 5

Answers

Answer:

I think its  the first one but not 100 % sure

Step-by-step explanation:

Answer:

A>= -5 and A<= 5

Step-by-step explanation:

-6 x (-8) =
What is this answer I am stuck on it?

Answers

Answer:

It is 48

Step-by-step explanation:

Since the negative signs cancel out it is positive and 6 times 8 is 48.

HOPE THIS HELPS!

This is the answer x=48

If the temperature outside is 60 degrees at 6 pm and then drops by 15% at 10 pm, what is the temperature at 10 pm?

Answers

Answer:

51 degrees

Step-by-step explanation:=Given data

Temperature at 6pm = 60 degrees

percent drop= 15%

= 15/100*60

=0.15*60

=9 degrees

Hence the temperature at 10 pm is 60-9= 51 degrees

p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled ​

Answers

Answer:   p = 48

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

Explanation:

We're told that "p is directly proportional to the square of q", which means that we have the equation

p = k*q^2

for some constant k

Replace p with 12 because we're also told that p = 12.

So we now have this equation

12 = k*q^2

which is the same as

kq^2 = 12

We'll use this later.

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

Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling

p = k*q^2

p = k*(2q)^2 ... replace q with 2q

p = k*4q^2

p = 4k*q^2

p = 4*(kq^2)

p = 4(12) ...... replace kq^2 with 12

p = 48

Therefore, if q is doubled, then p = 12 quadruples to p = 48.

solve for x or find x ​

Answers

the answer is x= 4

AB and CD are the same length

8x-1 =31

8x=32

x=4

Solve for X: X+8=3(x-7)-5

Answers

Answer:

x = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Distributive Property

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

Distribute 3:                                                                                                      x + 8 = 3x - 21 - 5Combine like terms:                                                                                       x + 8 = 3x - 26[Subtraction Property of Equality] Subtract x on both sides:                      8 = 2x - 26[Addition Property of Equality] Add 26 on both sides:                                34 = 2x[Division Property of Equality] Divide 2 on both sides:                                17 = xRewrite/Rearrange:                                                                                        x = 17

Answer:

17

Step-by-step explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x

how do you factor: 2x + -15

Answers

Answer:

It is not factorable.

Step-by-step explanation:

It is not factorable with rational numbers.

Answer:

This expression is not factorable with rational numbers.

Step-by-step explanation:

2x+(-15)=2x-15

Due in a few minutes-please help me solve these geometry problems!!!

Answers

Answer:

You must be 65.3 ft. closer

Step-by-step explanation:

The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.

By the definition of tangent:

tan(25)=50/x

Solve for x

x=50/tan(25)=107.225

The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.

By the definition of tangent:

tan(50)=50/y

Solve for y

y=50/tan(50)=41.955

The difference between x and y is how much closer to the tree you must be.

x-y=65.27

Marcus believes he can score a goal at least 70% of the time.He runs a simulation where he tracks the number of successful goals out of ten attempts. He runs the simulation 100 times.
Goals 0 1 2 3 4 5 6 7 8 9 10
Frequency 0 1 2 2 1 0 1 18 40 30 5
He decides to use a significance level of 0.05. What can he conclude about his null hypothesis that he will score no more than 6 goals out of 10?

Answers

Answer:

The p-value is 0.07, which is more than 0.05. Fail to reject the null hypothesis.

Step-by-step explanation:

Write 9 x 1 + 3 x 1/10 + 4 x 1/ 1000

Answers

Answer:

A

Step-by-step explanation:

A man knows that his apple tree is 51 ft high. At 11:00 am the tree casts a shadow of 68 ft. What is the angle of elevation of the sun? Round to the nearest tenth

Answers

Answer:

36.9 degrees

Step-by-step explanation:

This problem can be solved by drawing a right triangle and doing trigonometry. We can draw our triangle with a height of 51 and a base of 68. In order to find the angle from the ground to the sun we can use arctangent (tan^-1). Since tan(angle)=opposite/adjacent we can find the angle by doing angle=tan^-1(51/68)

.....................

Answers

Answer:

the picture is blurry on my screen can u pls insert another picture

Step-by-step explanation:

y=-4x+6
3x + 4y = -2
Is (2, 2) a solution of the system?
Choose 1 answer:

- Yes

- No

Answers

Answer:

No because the first one will get an answer of -2 while the second one will get an answer of 14

Step-by-step explanation:

Hope This Helped

Answer:

no

Step-by-step explanation:

To solve this we can plug in 2 for x and 2 for y and see if the equations are true

we have

2= -4(2)+6

2= -8+6

2= -2

this is false, the answer is no

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.


A.
431.6 km


B.
268.8 km


C.
688 km

Answers

Answer:  C) 688 km

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

Work Shown:

k = 1.6d

k = 1.6*430

k = 688

430 miles is roughly equivalent to 688 km.

More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.

Answer: the answer is C. 688 km

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Step-by-step explanation:

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada

k = 1.6 d

Where k is in kilometers n d in miles

The distance between Boise, Idaho and Reno, Nevada is 430

Substituting d= 430 we get,

k = 1.6(430)

k = 688

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

9 x 3/9 is greater than less than or equal to 9?

Answers

Answer:

9 x 3/9  is less than 9

Step-by-step explanation:

Answer:

No because when multiplyin a fraction your outcome is less than the orginal

number most likely

Step -by-step explanation:

PLZ HELP WILL MARK BRAINIEST

Today, everything at a store is on sale. The store offers a 20% discount.

The regular price of a T-shirt is $16.

If the regular price of an item is x dollars, what is the discount price in dollars?

a.) 0.2x
b.) 0.8x
c.) 1.2x
d.) none of the above

Answers

Answer:

D?

Step-by-step explanation:

Find the value of x. Round to the nearest tenth.

Answers

Answer:

14.8

Step-by-step explanation:

cos 36° = 12/x

x = 12 /cos 36°

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Answers

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

[tex]\frac{6 / 3}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]  o medio pastel cada uno

How many 7/9 cups servings are in 2/9 cups of juice?!?

Answers

Answer:

3

Step-by-step explanation:

I'm going to assume you meant "How many 2/9 cup serving are in 7/9 cup of juice" (since there are no 7/9 cups of serving in 2/9 cups of juice, since 7/9>2/9, and you can't have a serving of something greater than the amount you have).

In this case:

7/9 divided by 2/9=3

Since 7/9 and 2/9 have the same denominater, you can cross them off, since when you divide them, 9 divided by 9=1. 7 divided by 2=3.5, but I'll assume you want full cups.

plzzzzzzzzzzzzz help

Answers

Answer:

[tex]5*\frac{1}{2}[/tex]

Step-by-step explanation:

We have a picture and are being asked to identify the multiplication problem that represents it.

So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :

5 *

2 * 1/5 is scratched out as an answer. As is starts with 2.

As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.

5 * 1/2

Scratching all other answers.

Geometry help, please!!!
provide the missing reasons for the proof.
Given: Prove: ΔABC ~ ΔDBE
_____________________________________________
picture provided below

Answers

Answer:

1: Given

2: Verical angles are always congruent

3: Angle Angle theorem

Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better

Answers

Answer:

She did better on the Math test.

Step-by-step explanation:

14/17 is 82 percent, and 31/19 is only about 80%.

the percentage of people who took less than 40 secs to complete a task give answer in 1 decimal place

Answers

Answer:

63.6%

Step-by-step explanation:

Total number of people that took the test = 110

People who took less than 40 seconds to complete the task = 30 + 40

                                                                   = 70

The percentage of the people that took less than 40 seconds to complete the task can be determined as follows:

= [tex]\frac{number of people who used less than 40 seconds}{total number of people who took the task}[/tex] x 1100%

= [tex]\frac{70}{110}[/tex] x 100%

= 0.6364 x 100%

= 63.6%

The percentage of the people that took less than 40 seconds to complete the task is 63.6%.

PLEASE HELP how do i solve (5-3i)^2

Answers

Answer:

16-30i

Step-by-step explanation:

This is what I got :)

Answer:

16−30i

Step-by-step explanation:

Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}(a−b)  

2

=a  

2

−2ab+b  

2

.

{5}^{2}-2\times 5\times 3\imath +{(3\imath )}^{2}

5  

2

−2×5×3+(3)  

2

 

2 Simplify  {5}^{2}5  

2

  to  2525.

25-2\times 5\times 3\imath +{(3\imath )}^{2}

25−2×5×3+(3)  

2

 

3 Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}(xy)  

a

=x  

a

y  

a

.

25-2\times 5\times 3\imath +{3}^{2}{\imath }^{2}

25−2×5×3+3  

2

  

2

 

4 Simplify  {3}^{2}3  

2

  to  99.

25-2\times 5\times 3\imath +9{\imath }^{2}

25−2×5×3+9  

2

 

5 Use Square Rule: {i}^{2}=-1i  

2

=−1.

25-2\times 5\times 3\imath +9\times -1

25−2×5×3+9×−1

6 Simplify  2\times 5\times 3\imath2×5×3  to  30\imath30.

25-30\imath +9\times -1

25−30+9×−1

7 Simplify  9\times -19×−1  to  -9−9.

25-30\imath -9

25−30−9

8 Collect like terms.

(25-9)-30\imath

(25−9)−30

9 Simplify.

16-30\imath

16−30

X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation?

Answers

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9

Ok so like last like night like I was like playing and like when I was like done playing I went to my room and like when I like went to my room I like 额我真的 and like it was like like so like crazy that I almost like died laughing

Answers

Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE

Step-by-step explanation:

Answer:

like So like um.... like hit like the like heart like button like?

Step-by-step explanation:

i d k :/

A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. Use the table to write an expression to represent the actual number of each accessory sold per box of action figures.

Answers

The equation that can be used to represent the turbo jet pack will be 6b + 7.

How to calculate the equation

From the information given, the turbo jet pack is given as six times the number of boxes plus seven. This will be:

= (6 × b) + 7

= 6b + 7

The x-ray vision glass is given as five fewer than two times the number of boxes. This will be:

= (2 × b) - 5

= 2b - 5

The invisible shield is given as one more than ten times the number of boxes. This will be:

= (10 × b) + 1

= 10b + 1

Learn more about equations on:

https://brainly.com/question/13763238

A kite is flying at a height of 20 m vertically above the ground. Just below it, a fish is underwater at a
depth of 5 m. Find the vertical distance between kite and the fish​

Answers

Answer:t a particular point it is exactly above the fish moving in a pond 3m below the ground level. Find the vertical distance between these two points.? is done on EduRev Study Group by Class 7 Students. The Questions and Answers of A kite is flying at a height of 10m above the ground level. At a particular point it is exactly above the fish moving in a pond 3m below the ground level.

Step-by-step explanation:

help me I keep getting it wrong

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x - 6 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = [tex]\frac{2}{3}[/tex] x - 4 ← equation of parallel line

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

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = - [tex]\frac{27}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{27}{2}[/tex] = [tex]\frac{31}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line

help need help ASAP

super hard? free brainly

Answers

Answer:

I think that is false, tell me if im wrong if you can

Answer:

Step-by-step explanation:

False I think.

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