[fill in the blank]
In this figure,AB and CD are parallel.

AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.

[fill In The Blank]In This Figure,AB And CD Are Parallel.AB Is Perpendicular To Line Segment_____. If

Answers

Answer 1

Answer:

1. GH

2. a

Step-by-step explanation:

Perpendicular: When 2 lines meet at 90 degrees

1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)

2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too

This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees


Related Questions

whats the squareroot of 144 needs to be simplified

Answers

Answer:

12

Step-by-step explanation:

The square root of any number is basically asking "what number multiplied by itself will equal this number?"

Usually you memorize these, but there's also a quick way to do it.

We know that [tex]10\cdot10=100[/tex], so the square root must be greater than 10.

We also know that [tex]15\cdot15=225[/tex], so the square root must be less than 15.

A good mid point between these numbers is 13. Let's see what 13 squared is:

[tex]13\cdot13=169[/tex]

So it's a bit less than 13. Let's try 12.

[tex]12\cdot12=144[/tex]

So 12 is the square root of 144.

Hope this helped!

Answer:

[tex]\huge\boxed{\sqrt{144}=12}[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\144=2\cdot2\cdot2\cdot2\cdot3\cdot3=2^2\cdot2^2\cdot3^2\\\\\sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{3^2}=2\cdot2\cdot3=12\\\\\text{Used}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\sqrt{a^2}=a\\\\\text{for}\ a\ge0,\ b\geq0[/tex]

what is (-3) + (-8)​

Answers

Answer:

[tex]\huge \boxed{-11}[/tex]

Step-by-step explanation:

[tex](-3)+(-8)[/tex]

[tex]\sf Factor \ negative \ sign.[/tex]

[tex]-(3+8)[/tex]

[tex]\sf Add.[/tex]

[tex]-(11)[/tex]

Step-by-step explanation:

[tex]( - 3) + ( - 8) \\ \\ remove \: unecessary \: parantheses \\ - 3 - 8 \\ = 11[/tex]

Find the total surface area.

Answers

Answer:

143.4 mi²

Step-by-step explanation:

Top: 8x6=48

Bottom: 3x8=24

Sides: 3x8=24 and 24

Trapezoids sides: (6+3)/2*2.6=4.5*2.6=11.7 and 11.7

TOTAL: 48+24+24+24+11.7+11.7= 143.4 mi²

What value of x is in the solution set of 2(3х – 1) > 4х – 6?
—10
-5
—3
-1
Help me

Answers

Answer:

-1

Step-by-step explanation:

2(3х – 1) > 4х – 6

Distribute

6x -2 > 4x-6

Subtract 4x from each side

6x-2-4x > 4x-6-4x

2x-2 > -6

Add 2 to each side

2x-2+2> -6+2

2x> -4

Divide by 2

2x/2 > -4/2

x > -2

The number is greater than -2

The only number that is greater than -2 is -1

Please, i need answer fast :< no steps, ILL GIVE BRAINLIEST TOO :)

Answers

Answer:

[tex]\huge\boxed{Area = 24\ square\ units}[/tex]

Step-by-step explanation:

Area of parallelogram = Base * Height

Where Base = 6 , Height = 6

Area = 6 * 4

Area = 24 square units

Answer:

24 square units

Step-by-step explanation:

the area formula is A=bh

b=6

h=4

A=4*6

A=24

can any one help me in this..???? please

Answers

Answer:

(i) a1/a2 =/ b1/b2

(ii) a1/a2=b1/b2 =/ c1/c2

(iii) a1/a2=b1/b2=c1/c2

Step-by-step explanation:

=/ means not equal to.

graphical repesentation of

1.intersecting lines

2.coincident lines

3.parallel lines

a1/a2 and next two slots is basically dividing the coefficents if each equation.

for eg. 1. a1/a2= 2/4=1/2 and so on.

parallel lines are inconsistent whereas intersecting and coincident lines are consistent.

Plz Help I would appreciate it!!!

Answers

Answer:

a) Similar triangles are triangles with the same shape but not necessarily the same size

b) 15/45 = 8/x

1/3 = 8/x (simplify the 15/45)

x = 8 * 3 (cross multiplication)

x = 24

c) y^2 = 15^2 + 8^2 (Pythagoras theorem)

y = *square root of* 15^2 + 8^2

y = 17

1/3 = 17/z

z = 17 * 3 (cross multiplication)

z = 51

4x + 5 = x + 26​ need help

Answers

Answer:

x = 7

Step-by-step explanation:

4x + 5 = x + 26

4x - x = 26 - 5

3x = 21

x = 21/3

x = 7

Check:

4*7 + 5 = 7 + 26

28 + 5 = 33

On a coordinate plane, a curved line with minimum values of (negative 0.8, negative 2.8) and (3, 0), and a maximum value of (1.55, 10.8), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function contains the local maximum? [–3, –2] [–2, 0] [0, 2] [2, 4]

Answers

Answer:

(0,2)

Step-by-step explanation:

So C

The correct option is option C: [0,2] contains the local maximum.

What is the local maximum?

Local maximum is the relative maximum point where it is maximum within the neighborhood of that point.

From the graph shown in the picture, it is clear that,

the curved line touches the x axis at the point R(-2.5, 0), O(0, 0), and Q(3, 0).

similarly, the curved line touches the y-axis at O(0,0).

the graph has local minima at P(-0.8,-2.8) and Q(3, 0).

So the graph is below the x-axis between the point (-2.5, 0), (0, 0).

the graph has local maxima at S(1.55,10.8).

So the graph is above the x-axis between the point (0, 0), and (3, 0).

so the local maximum occurs at S(1.55,10.8).

From the option, it is clear that the point  (1.55,10.8) lies in the interval [0,2].

Therefore [0,2] contains the local maximum.

Learn more about local maximum

here: https://brainly.com/question/2193816

#SPJ2

If Ab = 54, find MC.

Answers

Answer:

MC = 45

Step-by-step explanation:

Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values

[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

6MC = 270 ( divide both sides by 6 )

MC = 45

write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).

A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7

Answers

Answer:

C) 3x - 4y = 7

Step-by-step explanation:

The midpoint of AB is

M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)

Line AB has slope:

(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3

Slopes of perpendicular lines are negative reciprocals.

A perpendicular to line AB has slope 3/4.

The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]

[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]

[tex] 4y + 4 = 3(x - 1) [/tex]

[tex]4y + 4 = 3x - 3[/tex]

[tex]3x - 4y = 7[/tex]

Answer:

C

Step-by-step explanation:

Segment joining a and b

m = 8/(-6) =-4/3

For that of the perpendicular bisector...

m = 3/4

Midpoint of Segment joining a and b

([-2+4]/2 , [3-5]/2)

=(1, -1)

y=mx+c

-1=(3/4)(1)+c

c= -7/4

y=3x/4 - 7/4

4y=3x - 7

3x-4y = 7

Simplify the scalar multiplication on the matrix.

Answers

Answer:

third option

Step-by-step explanation:

Given

3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]

Multiply each element in the matrix by 3

= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]  

Answer:

C.

Step-by-step explanation:

what is the general form to find square roots

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Square roots are usually in the form a√b where a and b are any rational number.

.
4 pumps can fill 800l of water in 20 min. In how many
minutes will 12 pumps fill 600l of water?
a) 6 min b) 5 min
c) 4 min d) 8 min​

Answers

Answer:

Step-by-step explanation:

One pump will fill 200l in 20 minutes

So the rate of filling per pump will be 10l/minute (200/20)

Let the number of minutes it will take to fill the 600l be x minutes

Now, since the rate of filling per pump is 10 l/minute

Then in x minute, they would have filled 10l/minute * x = 10x liters

So it is now this 10x liters that will be equal to 600

To find x, we simply divide

10x = 600

x= 600/10

x = 6 minutes

a trader bought 90oranges at 3 for gh¢ 0.75 .how much did she get from selling all​

Answers

Answer:

How much did she sell it

Can someone please help!

Answers

Plot point F where angle alpha is located.

Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.

alpha = x+80

Answer: Choice D

100 Points!! Pls answer ASAP, short explanation as well. Thx!

Answers

Answer:

2/3 x [tex]\sqrt[4]{y^2}[/tex]

Step-by-step explanation:

( 16 x^11 y^8 / 81 x^7 y^6) ^ ( 1/4)

Simplify the expression inside the parentheses

Rewriting the constant

16/81 = 2^4 / 3^4 = (2/3) ^4

Next the x terms

x^11 / x^7

We know that a^b / a^x = a^ ( b-c)

x^ (11-7) = x^4

And finally the y term

y^8/ y^6 = y^( 8-6) = y^2

(  (2/3) ^4 x^4 y^2) ^ ( 1/4)

We know that (ab) ^ c = a^ c * b^c

 (2/3) ^4 ^ 1/4   ( x^4 ^ 1/4   ( y^2) ^ ( 1/4)

We know that a^ b^ c = a^ ( b*c)

(2/3) ^4 ^ 1/4   ( x^4 ^ 1/4   ( y^2) ^ ( 1/4)

( 2/3) ^ ( 4*1/4)  * x^ ( 4*1/4)   * y ^ ( 2 ^ 1/4)

2/3 * x *  y ^ 2/4

2/3x  y ^ 2/4

2/3 x [tex]\sqrt[4]{y^2}[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

See below for attached work.

▹ Step-by-Step Explanation

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Find the 20th term of the following sequence. -6, -4, -2, 0

Answers

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

factorize
please
help
me

[tex]a {}^{2} - 4b {}^{4} [/tex]

Answers

Answer:

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

Step-by-step explanation:

You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]a^2-(2b^2)^2[/tex]

you can work the equation backward now and you will get your original equation.

PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .

Answers

Answer:

  22. The surface area is 1/9 of its original value

  24. The surface area is 120 m^2 less than its original value.

Step-by-step explanation:

22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.

__

24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.

The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.

A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.

A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

positive slope
negative slope
constant slope
increasing function
decreasing function

Answers

Answer:

B, C, E

Step-by-step explanation:

I just took the test

Answer:

i dont know if im correct but

Step-by-step explanation:

B, C, and E are the right ones hope it helps

7x-y= 22
4x + 2y = 10
can someone help plz?

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

Based on the fact that our have two variables and two equations, I'm going to assume you are trying to find the values of x and y.

For these two equations, let's first find the value of x using the equation elimination method.

We're going to eliminate the y variable by multiplying the first equation by 2 and then adding that new equation to the second equation.

7x - y = 22 ==> 14x - 2y = 44

4x + 2y + (14x - 2y) = 10 + (44)

18x + 0y = 54

x = 3

Now we plug the value of x back into one of the equations to find the value of y.

7x - y = 22

7(3) - y = 22

-y = 22 - 21

y = -1

So our values are as follows:

x = 3

y = -1

Cheers.

Please answer this question now

Answers

Answer:

25.13

Step-by-step explanation:

Answer:

C ≈ 25.13 feet

Step-by-step explanation:

A = πr²

16π = πr²

divide by π

16 = r²

r = 4

plug r into circumference equation:

C = 2πr

C = 2π(4)

C ≈ 25.13

hope this helps :)

Can somebody please help me

Answers

Exact area = 25piApproximate area = 78.5

You can pick one or the other to have as your answer

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

Explanation:

The formula you use is

A = pi*r^2

The radius is r = d/2 = 10/2 = 5

So,

A = pi*r^2 = pi*5^2 = pi*25 = 25pi

is the exact area

Replace pi with 3.14 to get 25*pi = 25*3.14 = 78.5

which is the approximate area

To get a better approximation, you would use more decimal digits of pi.

PLZ HELP ME!!!! I NEED THE ANSWER QUICK SO IM GIVING BRAINLIEST TO THE FASTEST AND BEST ANSWER.

Answers

Answer:

f(x) = 8(1/2)^x.

Step-by-step explanation:

According to the graph, there is a point at (0, 8) and (1, 4).

That means that when x = 0, y = 8.

8 = a(b)^0

1a = 8

a = 8

That means that a = 8, and when x = 1, y = 4.

4 = 8(b)^1

4 = 8b

8b = 4

b = 4/8

b = 1/2

So, f(x) = 8(1/2)^x.

Hope this helps!

algebraic expression twice the difference of a number and 5. with x being "a number"

Answers

Answer:

2(x-5)

Step-by-step explanation:

Answer:

the answer to your question is 5xa^2

or you can use symbolab calculator online

7. If 10 men can build a house in 90 days, how
many men can build a home in 20 days?
A) 18
B) 36
C) 45
D) 180

Answers

It would take 45 men to build a home

Answer:

2.222.........

Step-by-step explanation:

10 : 90

x : 20

cross multiply

10 x 20 =  90x

200 = 90x

both divide by 90

x = 2.2222.......

Use suitable identities to find the product of 1) (x-4) (x+10) 2) (3x+4) (3x +5) 3) (-3a +5b +4c)^2

Answers

Answer:

Step-by-step explanation:

(x-4) (x+10)  ⇒ (x+a)(x+b)=x²+(a+b)x+ab

a=-4 , b=10

x²+(-4+10)x+-4(10)

x²+6x-40

(3x+4) (3x +5)

3(x+4/3) *3(x+5/3)  ⇒ identity : (x+a)(x+b)=x²+(a+b)x+ab  

a=4/3    b=5/3

3*3=9

9[x²+(4/3 +5/3)x+4/3(5/3)]

9[x²+9/3 x+20/9]

9x²+27x+20

(-3a +5b +4c)^2  ⇒  

suitable identity is (a+b+c)²= a² + b² + c² + 2ab + 2bc + 2ca

a=-3a , b=5b , c=4c

9a²+25b²+16c²- 30ab +40bc - 24ca

An office supply store recently sold a black printer ink cartridge for $14.99 and a color printer ink cartridge for $20.99. At start of a recent fall semester, a total of 42 of these cartidges was sold for a total of $695.58. How many of each type were purchased?

Answers

Answer:

B = 31, C = 11

Step-by-step explanation:

Let B be the number of Black printer ink cartridges and C be the number of color printer ink cartridges.

42 were sold in total, hence,

B+C= 42 ------------(1)

Also, its given that

14.99 B+20.99C= 695.58 ------(2)

Multiplying (1) by 20.99,

14.99 B+14.99 C= 629.58 ------(3)

Now, subtracting (3) from (2),

14.99 B+20.99C= 695.58

14.99 B+14.99 C= 629.58

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

6 C = 66

C= 66/6

C = 11

We know, B+ C= 49

Hence B = 42- 11 = 31

B = 31

Hence, number of Black printer ink cartridges = 31 and color printer ink cartridges = 11 .

pls help with this word problem !!

Answers

Answer:

4 inch

Step-by-step explanation:

given that the ratio of the floor plan with that of the actual measurement =

                                                                 1 inch : 2 feet....................(1)

so we have to find the length of the house on the floor plan if the actual measurement is 8 feet.

using eq (1), we can say that the length on the floor plan will be half of the actual length.

therefore if the actual length of the house is 8 feet, then

                           length of the house on the floor plan = 8/2

                                                                                          = 4 inch

Answer:

We need 4 inches

Step-by-step explanation:

We can use ratios to solve

1 in             x inches

----------  = -------------

2 ft             8 ft

Using cross products

1  * 8 = 2 x

Divide each side by 2

8 /2 = 2x/2

4 = x

We need 4 inches

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