In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

What is the length of line segment DB?

20 units
24 units
48 units
68 units

Answers

Answer 1

Answer:

48 units

Step-by-step explanation:

Answer 2

The length of line segment DB is 48 units

What are parallelograms?

Parallelograms are shapes with opposite parallel sides

Start by calculating the measure of t using:

AE = CE --- the diagonals

So, we have

3t - 14 = t + 2

Collect like terms

3t - t = 14 + 2

Evaluate

t = 8

The length of segment DB is calculated as;

DB = 2 * DE

So, we have:

DB = 2 * (2t + 8)

Substitute 8 for t

DB = 2 * (2* 8 + 8)

Evaluate

DB = 48

Hence, the length of line segment DB is 48 units

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Related Questions

Directions - Label the diagram with the following values, then solve for x.

Answers

The Box between S and T is x+10
Between T and U is x+14

the blue line is 22

x is -1

A solution to a linear inequality is shown below. The solution steps may not all be correct.
Solve: 4(x - 2) <6(x+3)

Step 1: 4x – 8 < 6x + 18
Step 2: -2x – 8< 18
Step 3: -2x < 26
Step 4: x>-13
Which steps in the solution follow correctly from the
previous step? Select all that are correct
(Select all that apply.)
Step 1
Step 2
Step 3
Step 4

Answers

Answer:

Step 3

Step-by-step explanation:

4x - 8 < 6x + 18

4x - 6x < 18 + 8

- 2x < 26

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

All the options are correct.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4(x - 2) < 6(x+3)

Removing the parenthesis.

Step 1:

4x - 8 < 6x + 18

Subtracting -6x on both sides.

4x - 8 - 6x < 6x + 18 - 6x

Step 2:

-2x - 8 < 18

Add 8 on both sides.

-2x < 18 + 8

Step 3:

-2x < 26

Divide both sides by 2.

-x < 13

Multiply - on both sides.

The sign will change.

Step 4:

x > -13

We see that,

All the steps are given correctly.

Thus,

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

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What is the area of this parallelogram?

Answers

Answer:

A= 28

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I believe it’s 6 in the equation

If Jacob has 12 gallons of soda for a Christmas party, how many pints of soda does he have?

Answers

12 gallons = 96 us liquid pints.

Find measures of complementary, supplementary, vertical, and adjacent angles VZ
The measure of an angle is nine times the measure of its supplementary angle. What is the
measure of each angle

Answers

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

Find the values of the variables. 9th/10th grade level (see picture)

Answers

Answer:

1.) x = 30

2.) y = 15

Step-by-step explanation:

(3x - 40)° and (2x - 10)° are vertical angles, so they will always be the same

1.) 30

3x - 40 = 2x - 10

3x - 2x = 40 - 10

x = 30

2.) 15

(6y - 10)° + (6y + 10)° = 180°

6y + 6y + 10 - 10 = 180

12y = 180

12y/12 = 180/12

y = 15

Answer:

stop telling people to do your homework on canvas!

Step-by-step explanation:

Which 3 relationships are true in the construction below?

Answers

Answer:

The correct options are;

Line CD is the perpendicular bisector of line AB

Line segment AB is perpendicular to line CD

Line segment AE is congruent to line segment BE

Step-by-step explanation:

From the construction, we have that the radius of circle A is equal to the radius of circle A as the circumference of circle A passes through the center of circle A

Therefore, the construction is the bisection of line segment AB by the construction of the perpendicular bisector CD, from which we have line segment AE is congruent to line segment BE and line segment AB is perpendicular to line CD

Hector left his house at (−6, 13) on a map of Coleville and walked to the zoo at (−6, 2). From there he walked east to his friend’s house. He walked a total distance of 25 blocks. If each unit on the map represents one block, what are the coordinates of Hector’s friend’s house?

:( this is hard....

Answers

The answer is B because it is

I need help please!!

Answers

Answer:

∠ CAD = 83°

Step-by-step explanation:

In a parallelogram. opposite angles are congruent.

∠ CAB = ∠ ACD = 57° ( Alternate angles )

The sum of the 4 interior angles = 360°

and

∠ ABC + ∠ CDA = 40° + 40° = 80°

Thus

∠ BCD + ∠ CAD = 360° - 80° = 280°, then

∠ DAB = 140° ( congruent opposite angles )

Thus

∠ CAD = 140° - ∠ CAB = 140° - 57° = 83°

What is the next term of the arithmetic sequence? -3,0,3,6,9,−3,0,3,6,9,minus, 3, comma, 0, comma, 3, comma, 6, comma, 9, comma

Answers

Answer:

12

Step-by-step explanation:

Given the arithmetic sequence :

-3,0,3,6,9

Using the relation :

Tn = a + (n- 1) d

d = common difference = t2 - t1 = 0 - (-3) = 3

The next term = 6th term ; n = 6

a = first term

T6 = - 3 + (6 - 1)3

T6 = - 3 + (5)3

T6 = - 3 + 15

T6 = 12


Which statement below is not true about plant cells.
1.a plant cell has a larger vacuole than a animal cell
2.a plant cell has a cell wall while an animal cell does not
3.a plant cell has chloroplasts which contain chlorophyll and carry out photosynthesis
4.the nucleus in a plant contains DNA while the nucleus in an animal cell does not.
Please and thank you

Answers

Answer:

4

Step-by-step explanation:

Number 4 because it is not true

Mateo’s aunt bought a share of Netflix stock many years ago.



The value of the stock increased by `80\%`.



Its value is now `\$270`.



What was the value of the Netflix stock when Mateo’s aunt bought it?

Answers

Answer:

150

Step-by-step explanation:

80+100=180

270/180=1.5

15*100=150

Answer:

150

Step-by-step explanation:

Given mn, find the value of x.​

Answers

You would do 118- 180 because a straight line adds up to 180

The answer is x =62

The value of the angle x in the given set of parallel lines is 62°.

Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,

We need to find the value of x,

Here, we can use the property of corresponding angles to find the value of x.

Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.

In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.

Since the corresponding angles are equal, we can set up the equation:

180° - x = 118°

x = 62°

Hence the value of x is 62°.

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The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?

Answers

Answer:

30 students

Step-by-step explanation:

18 divided by 3 is 6

6 x 2 = 12

12 + 18 = 30

Answer:

30 i just took the test 28m ago and it said it was right

Step-by-step explanation:

Find the x-intercept: 5y-2x=17

Answers

x-intercept:

(−17/2, 0)

y-intercept:

(0, 17/5)

Are the triangles congruent? and why?

Answers

Answer:

Yes the triangles are congruent

Step-by-step explanation:

since

AB=CD

AD=CB

and BD= BD (common sides)

Therefore

the two triangles are congruent

All items produced in a factory are checked for defects. Of the 300 items checked, 3% were found to be defective. How many of the items are defective?

Answers

Answer:

3%×300,=900

900÷100=9

Step-by-step explanation:

answer is 9

Answer:

291

Step-by-step explanation:

no prob

Tell whether the ratios form a proportion.

2:45, 34:310

Answers

34/2 = 17
310/45 = 6.88
No, they do not form a proportion

Can you guys help me with these questions?

Answers

Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

Find the digits in space given with the following numbers so that the number is divisible by 11.

a) 2__583

b) 37__45

Answers

Answer:

A

Step-by-step explanation:

I am not sure but I think A

Answer:

a) 22583

b) 37345

Step-by-step explanation:

Divisibility by 11

Rule: A number passes the test for 11 if the difference of the sums of alternating digits is divisible by 11.

For example, the number 14982 is divisible by 11. Sum the digits

1+9+2=12

4+8=12

Subtract them: 12-12=0. Since 0 is divisible by 11, then the number also is.

The number 745102 is not divisible by 11:

7+5+0=12

4+1+2=7

12-7=5. 5 is not divisible by 11.

a) 2_583. Let's call X to the unknown digit 2X583

2+5+3=10

X+8 should be 10 or 21, so 10-10=0 or 21-10=11 are divisible by 11, but X cannot be greater than 9, thus

X+8=10 => X=2. The number is 22583

b) 37X45

4+7=11

3+X+5 should be 11 or 21. Again, X must be less than 10, thus

3+X+5=11 => X=3. The number is 37345

I need help pls !!!!

Answers

Answer:

The answer is 49 pi cm2

Step-by-step explanation:

pi x 14^2

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

      4

=153.93804

Answer:

The area of your circle is ≈ 15.6cm²

Step-by-step explanation:

A = Area

C = Circumference

Attached

Using the following formulas;

A=πr²

C=2πr

Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =​

Answers

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how much tape would the teacher need to hang up 10 student projects?

Answers

The teacher would need 40 centimeters of tape to hang 10 student projects.

Step-by-step explanation:

Given,

Tape used to hang projects = 36 centimeters

Number of projects hanged = 9

We will find unit rate;

9 projects = 36 centimeters

1 project = \frac{36}{9}\ centimeters

9

36

centimeters

1 project = 4 centimeters

Therefore,

Tape needed to hang 10 projects = 4*10 = 40 centimeters

The teacher would need 40 centimeters of tape to hang 10 student projects.

Keywords: unit rate, multiplication

For what duration of a second does the human eye perceive an image after looking away?
A.
one-twelfth
B.
one-fourteenth
C.
one-sixteenth
D.
one-tenth
E.
one-thirteenth

Answers

Answer:

B.  One-fourteenth

Step-by-step explanation:

The afterimage may remain for 28 seconds or longer. The apparent size of the afterimage depends not only on the size of the image on your retina but also on how far away you perceive the image to be. When you look at your hand, you see the negative afterimage on your hand.

Solve the problems. 1 Determine if each equation is true Choose True or False for each equation. a. 4.25 X 10^6 425,000 b. 6.38 X 10^9=638,000,000,000 True False True False True False True False 5.11 X 10^-2=511 d. 2.79 x 10^-4 = 0.000279

I'll mark brainlyest​

Answers

Answer:

a. False

b. False

c. False

d. True

Step-by-step explanation:

a. 4.25 x 10⁶ = 425,000 (false) should be 4,250,000

b. 6.38 x 10⁹ = 638,000,000,000 (false) should be 6,380,000,000

c. 5.11 x 10⁻² = 511 (false) should be 0.0511

d. 2.79 x 10⁻⁴ =  0.000279  (true)

Answer:

True

False

False

True

Step-by-step explanation:

In the isosceles trapezoid, m∠S=68∘ .

What is m∠Q ?

Answers

9514 1404 393

Answer:

  112°

Step-by-step explanation:

Same-side angles of a trapezoid are supplementary.

  m∠P = 180° - m∠S = 180° -68° = 112°

The angles of an isosceles trapezoid match their symmetrical counterparts.

  m∠Q = m∠P

  m∠Q = 112°

A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)

Answers

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

In the given triangle angle A is greatest than any other angle.

What is the triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

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220-450+9
Will mark brainliest ​

Answers

Answer:

220_450×9 =-221

Step-by-step explanation:

I hope l helped you .Please follow me. ❤❤

Given: m∠AEB = 45°
∠AEC is a right angle.

Prove: Ray E B bisects ∠AEC.

3 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Proof:
We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the ______________
gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.

Select a sentence to fill in the blank.

Segment addition property
angle addition postulate
reflective property
transitive property

Answers

Answer:

Answer is B. angle addition postulate

Step-by-step explanation:

-UvU-

Plsss help me and I’ll give brainliest

Answers

Answer:

Bonnie is correct

Step-by-step explanation:

Ok so bonnie said to buy five shirts  so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.

Answer:

Susan is correct

Step-by-step explanation:

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