GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?

Answers

Answer 1

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.


Related Questions

can someone pls answer and explain this correctly?

Answers

Answer:

[tex]6^4[/tex]

Step-by-step explanation:

All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.

First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]

After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].

Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]

Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.

Answer:

6^4 is equivalent to 3^4 x (2^2)^2

Step-by-step explanation:

3^4 x (2^2)^2                  6^8 = 1679616

  3^4 x (4)^2                    6^4 = 1296

     81 x 16                       5^4 = 625

         1296                       5^8 = 390625

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

angle B is 33 degree

Step-by-step explanation:

let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)

x+x+48=180 degree(sum of interior angles of a triangle)

2x=180-48

x=132/2

x=66

therefore angle A and Angle D is 66 degree

angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)

66+48=exterior angle D

114 = exterior angle D

In triangle DCB

let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)

y+y+114=180 degree(sum of interior angles of a triangle )

2y=180-114

y=66/3=2

y=33 degree

therefore angle B is 33 degree

Factor the following expression completely. 6x^2 — 3x-8x+4​

Answers

6x² — 3x-8x+4

3x(2x-2)-4(2x-1)

(3x-4)(2x-1)

Answer:

( 3x - 4 ) ( 2x - 1 )

Step-by-step explanation:

➛ 6 x ² - 3x - 8 x + 4

➛ 3 x ( 2 x - 1 ) - 4 ( 2 x - 1 )

➛ ( 3 x - 4 ) ( 2 x - 1 )

Which statements about the graph are true? Check all that apply.

Answers

Answer:

is there a picture you can show me?

Step-by-step explanation:

How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many

Answers

Answer: C. Infinity many

what is the simplify answer to 4 3/5 + 15 ÷ 1/5 =​

Answers

Answer:

79.6

Step-by-step explanation:

4 3/5+15÷1/5

23/5+15÷1/5

4.6+15÷0.2

4.6+75

79.6

Need the question this is urgent!Please answer!

Answers

It should be 66.6 I hope this helps

FASTTTTT
FIND THE AREA OF THE SHADED REGION​

Answers

Answer:

A =28 pi cm^2

Step-by-step explanation:

First find the area of the larger circle

A = pi r^2

A = pi (8)^2

A = 64 pi

Find the area of the smaller circle

A = pi r^2

A = pi 6^2

A = 36 pi

The shaded area is the larger circle minus the smaller circle

A shaded = 64 pi - 36 pi

A =28 pi cm^2

28 pi is the correct answer. Subtract the larger area which is 64 pi by the smaller which is 36 pi and you get 28 pi

If x^4-y^4=45 and x^2-y^2=5, then x^2+y^2=?
A. 9
B. 15
C. 20
D. 40
E. 50

Answers

Answer:

here u go

Step-by-step explanation:

i got a

Answer:

x^2 + y^2 = 9

What is the difference of square formula (a ^ 2 - b ^ 2)?

It is used to find the difference between the two squares without actually calculation the square.

a^2 - b^ 2 = (a-b) (a +b)

x^4 - y^4 = 45

(x^2)^2 - (y ^2) ^ 2 = 45

(x^2 - y^ 2) (x^2 + y^2) = 45

5 (x^ 2 + y ^ 2) =45

x^2 + y^2 = 9

correct option is  A ) 9

Learn more about  difference of square formula

https://brainly.com/question/13647939?referrer=searchResults

#SPJ2

Who knows the answer fr cause everybody keep giving the wrong answer

Answers

I think it''s Angle APD.

HELP ME
I WILL GIVE YOU BRAINLIEST

Answers

76, because the graph shows how many visitors there are around 90 degrees

the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.

Answers

Step-by-step explanation:

s = a+39

s+a = 180

a+39+a = 180

2a = 180-39

2a = 141

the angle = 70.5°

the supplement = 109.5°

Write an equation that represents the line

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

A standard equation written in slope-intercept form looks like this:

y = mx + b

m is the slope and b is the y-intercept.

First let's identify the y-intercept.

This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.

y = mx - 3

Now let's find the slope.

This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.

We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.

To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.

rise: 2

run: -1

rise/run = 2/-1 = -2

-2 is our slope.

y = -2x - 3

This is your equation.

Hope this helps!

The answer ISN’T -9/5,3.

Don't have to explain, but if u want then to ahead.

Thank you! :)

Answers

Answer:  [-1.8, 3]

Don't forget the square brackets.

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

Work Shown:

[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]

note 1: I added 3 to all sides to undo the "-3" in the middle.

note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).

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

From there, we convert from compound inequality notation to interval notation.

Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]

The square brackets say to include the endpoint.

So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]

x is any real number between -1.8 and 3, including both endpoints.

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

It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.

If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]

Helppp meee please!!

Answers

Vertical stretch

Hope this helps! :)

Vertical stretch ununinin

Use the grouping method to express the polynomial below as product of its factors. Write each factor as a polynomial in descending order. x(5x-8)-3(5x-8)

Answers

Answer:

(5x-8)(x-3)

Step-by-step explanation:

The factor of this equation is 5x-8

So, after the factorization is (5x-8)(x-3)

Solve the given portion x/4 3/6

Answers

[tex]\sf\purple{x\:=\:2}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{x}{4} = \frac{3}{6} \\ \\ ➪ \: x = \frac{1 \times 4}{2} \\ \\ ➪ \: x = \frac{4}{2} \\ \\ ➪ \: x = 2[/tex]

Therefore, the value of [tex]x[/tex] is 2.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{x}{4} = \frac{3}{6} \\ \\➪ \: \frac{2}{4} = \frac{3}{6} \\ \\ ➪ \: \frac{1}{2} = \frac{1}{2} \\ \\➪ \: L.H.S.=R. H. S [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

If ∠a = 85°, what does ∠b equal?

Answers

Answer:

the mesurement of angle b is°

(x-8)^2+(y+4)^2=12 find the coordinates of the center and the Measure of the radius for a circle

Answers

Answer:

Center: (8, -4)

Radius: 2√3

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center-Radius Equation: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Identify

(x - 8)² + (y + 4)² = 12

(h, k) = (8, -4)

r² = 12 → r = √12 = 2√3

HELP ME WITH THIS ILL MAEK U THE BRAINLIEST

Answers

Answer:

Maria answers 85% of the questions correctly

Step-by-step explanation:

Maria had a test with 20 questions

if 17 are correct,

20 questions : 100%

17 questions : ?%

she  was 85% right

hope this helps :)

Answer:

E. 85%

Step-by-step explanation:

Total Answers: 17 + 3 = 20

Maria answered 17 questions correctly

(17 ÷ 20)×100 = 85%

The probability that austin's company uses the local shipping service for a package is 0.650. The probability that the local shipping service will deliver the package on time is 0.980. If a package is selected at random from austin's company, what is the probability that she uses the local shipping service and that the package will not be delivered on time?

Answers

Answer:

0.013

Step-by-step explanation:

First, work out the probability that the package won't be on time:

1 - 0.980 = 0.020

Then, multiply this amount with the probability the company will choose the local shipping service:

0.650 x 0.020 = 0.013

You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.​

Answers

Answer:

5 jump shots.

Step-by-step explanation:

Let l = number of layups and j = number of jump shots

l + 2j = 21

11 + 2j = 21

2j = 10

j = 5

5 jump shots are needed to win the game and not go over 21 points.

Find the sum of the first 7 terms of the following series, to the nearest integer.
125,50, 20, ...

Answers

Answer:

[tex]r = 2.5 \\ sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ = \frac{125( {2.5}^{7 - 1} )}{7 - 1} \\ = \frac{30517.6}{6} \\ = 5086.3[/tex]

n⋅(17+x)=34x−r solve for x

Answers

the answer to x in this question is
i hope this helped:)

Answer:

x= -r-17n

     n-34

thats a fraction btw

Simplify the following expression (a³b)⁴

Answers

Answer:

a¹²b⁴

Step-by-step explanation:

When terms with exponents are multiplied, the exponents multiply.

(a³b)⁴ = a¹²b⁴

Answer: a^12b^4

Step-by-step explanation:

(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4

Find the 12th term of the geometric sequence 8, 16, 32...

Answers

Answer:

a₁₂ = 16384

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then

a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384

Answer:

16384

Step-by-step explanation:

We know that this is geometric sequence meaning we are multiplying the term before by a constant number.

We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.

Terms:

We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.

We can write this equation. 8 x 2 ^ (n-1)

n is the term number.

This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.

Answer:

Let's plug in our numbers!

8 x 2 ^ (12 - 1)

I use twelve because we're trying to figure out the 12th term.

8 x 2 ^ 11 = 16384

If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck

JoeLouis2

(a) An angle measures 29°. What is the measure of its supplement?
(b) An angle measures 42°. What is the measure of its complement?

Answers

(a) 151 degrees (supplementary angles add to 180’)

(b) 48 degrees (complementary angles add to 90’)

Can some solve this and explain how they solved it for both process

Answers

Answer:

1=27 2= -1

Step-by-step explanation:

if three watermelons equal 60 divide that by 3 to get 20. 30 minus 20 will get you what the strawberries together make so divide by two to get 5. After subtract 5 from 3 to get -2 and since you did it in reverse think of it as a positive. So that equals 1. 20 + 1 + 7 is 27. For number two start at the bottom with the clovers since its only clovers.divide 12 by 3 to get 4. Then go up to the second equation 31-16 is 15. After divide by 3 and get 5. Then go to the next equation and do the same thing, add the sunflowers and then subtract the sum from both sides. 40 - 10 is 30. 30 divided by 3 is ten. After go to the last one. 5 - 10 + 4 is -1.

hi pls help me out with this

Answers

A = S^2 = 12^2 = 144 m^2

Math problem please

Answers

h t ty tierce invgjjiiiiiiiio
Other Questions
Find the midpoint of the segment with the following endpoints.(10,6) and (4,9) How did you apply previous knowledge to complete the course?As its for summer school:( (Has to be at least 5 sentences) PLSS help its due today Select Yes or No to state whether each data set is likely to be normally distributed Why nitration of benzene is easier than that of benzene......... And how is phenol converted to TNT WILL GIVE BRAINILEST IF CORRECTWhich Supreme Court Decision upheld the FCCs right to mandate decency standards?FCC v. Beach Communications, Inc.FCC v. Fox Television StationsFCC v. Pacifica FoundationFCC v. AT&T, Inc. jalil asked for two triple-dip ice-cream cones.if each single -dip cone costs $1.69 and each extra scoop of ice cream is 00. 85 how much will he have to pay In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly Lingadalli Corporation (PLC) is considering an IPO. LC has 12 million shares of common stock owned by its founder and early investors. LC has no preferred stock, debt, or short-term investments. Based on its free cash flow projection, LC's intrinsic value of operations is $210 million. LC wants to raise $30 million (net of flotation costs) in net proceeds. The investment bank charges a 7% underwriting spread. All other costs associated with the IPO are small enough to be neglected in this analysis and all shares sold in the IPO will be newly issued shares. Answer the following questions. Inputs Value of operations (VPre-IPO) $210 million Number of existing shares (Existing) 12 million Target net proceeds $30 million Flotation costs (F) 7% a. What is the intrinsic stock price per share before the IPO {2x + y = -1}{3x- 5y + -21} Como es que los seres humanos estamos daando nuestro planeta? what do you understand about the song "True colors"?Would you recommend the song to your friends? why? what are the best dog foods True or false: The following equation is balanced properly: 6CO2 + 6H2O C6H12O6 + O2 Name and explain two laws that protect citizens against human trafficking I need help with number 1 and 2 Write an equation of the line that passes through the point (4,5) and has a slope of -2. (b) Simplify 4q2 3q2HellllllpppppppppppPlsssss Scramble the word GONL On April 1, 2021, Shoemaker Corporation realizes that one of its main suppliers is having difficulty meeting delivery schedules, which is hurting Shoemakers business. The supplier explains that it has a temporary lack of funds that is slowing its production cycle. Shoemaker agrees to lend $600,000 to its supplier using a 12-month, 11% note.Required:Record the following transactions for Shoemaker Corporation.1. The loan of $600,000 and acceptance of the note receivable on April 1, 2021.2. The adjustment for accrued interest on December 31, 2021.3. Cash collection of the note and interest on April 1, 2022. HI I NEED HELP ASAP I GIVE BRAINLEST IF YOU GET IT RIGHT