Consider quadrilateral EFGH.

Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.

What is the length of line segment GH?

5 units
7 units
16 units
24 units

Answers

Answer 1

Given:

In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6[/tex]

To find:

The length of segment GH.

Solution:

Draw a figure according to the given information as shown below.

In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H[/tex], it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.

Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.

[tex]EF=GH[/tex]

[tex]4n-4=2n+6[/tex]

[tex]4n-2n=4+6[/tex]

[tex]2n=10[/tex]

Divide both sides by 2.

[tex]n=\dfrac{10}{2}[/tex]

[tex]n=5[/tex]

Now,

[tex]GH=2n+6[/tex]

[tex]GH=2(5)+6[/tex]

[tex]GH=10+6[/tex]

[tex]GH=16[/tex]

Therefore, the correct option is C.

Consider Quadrilateral EFGH.Quadrilateral E F G H Is Shown. Sides F G And E H Are Parallel. Angles E
Answer 2

Answer:

the answer is C

Step-by-step explanation:

:]

Consider Quadrilateral EFGH.Quadrilateral E F G H Is Shown. Sides F G And E H Are Parallel. Angles E

Related Questions

In the picture below, which lines are lines of symmetry for the figure?

A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none

Answers

Answer:

None

Step-by-step explanation:

No lines can be folded over to match up with the opposite side

3. A publishing house is selling subscriptions to its magazines for 20% off the original price. If a
subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?]
a) $14.40
b) $57.60
c) $86.40
d) $90

Answers

Answer: D $90

Explanation: 20% of 90 dollars is 18 dollars. So 90-18 is $72/the sale price.
So the original price was $90

answer all three please​

Answers

Answer:

Triangular prism

Volume = 100cm³

Rectangular prism

Volume = 480³

Total volume of Composite Figure 580cm³

Step-by-step explanation:

How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?

Answers

Answer:

I get 20

Step-by-step explanation:

While there probably is some logical way to go about this I just did it in excel

screenshot below

Answer:

20

Step-by-step explanation:

10

20

40

50

70

80

100

110

130

140

160

170

190

200

220

230

250

260

280

290

RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan?

Answers

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

[tex]C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120[/tex]

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Express 2³a²b in factor form

Answers

Answer:

In factor form, the answer is ---> 8a^2b

Step-by-step explanation:

2³a²b

= (2^3) (a^2) b

= 8a^2b

If yk please help thank you

Answers

Answer: No real solution

Step-by-step explanation:

Please help, I’ll give brainly!!!

Answers

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6

Using only the values given in the table for the function f(x) = x^3 - 3x - 2 what is the interval of x-values over which the function is decreasing?

Answers

Answer:

3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).

Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2

Answers

Answer:

The answer is "[tex]\frac{1}{2}[/tex]".

Step-by-step explanation:

Given points:

[tex](-2,3)\\\\(2,5)\\\\[/tex]

average rate=?

[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]

[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]

                     [tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]

PPPPlease help meeee!

Answers

Answer:

A

Step-by-step explanation:

Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.

The answer to your question would be choice a (-2,-5)

Solve each of the following exponential equations using common bases:

1.) 4^(3x+5)=8^(4x-3)

2.) 9^(2x+3)=〖(1/27)〗^(3x+1)

3.) 4^(x+6)∙8^(x-9)=64

Answers

Answer:

x=19/6, x=-9/13, x=33/4

Step-by-step explanation:

1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6

2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13

3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4

pls help

The equation of a line parallel to 6x – 2y + 10 = 0 and passes through the point
(-2,7).

Answers

Answer:

y=3x-1

Step-by-step explanation:

First we need to rewrite 6x-2y+10 =0 into the standard slope form of y=mx+b when done you get y=3x+5Next we need an equation that passes through the point (-2,7). Now remember equations that are parallel have the same slope so the equation should look like y=3xIn standard slope form the b is the y-intercept. We now need to plug in the x ordered pair value into the standard slope equation. y=3(-2)+5 to get y=-1 meaning -1 is the y-intercept Therefore the answer is y=3x-1

Answer:

Y = 3X + 13

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 )

Given

6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )

- 2y = - 6x - 10 ( divide terms by - 2 )

y = 3x + 5 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (- 2, 7 ) into the partial equation

7 = - 6 + c ⇒ c = 7 + 6 = 13

y = 3x + 13 ← equation of line in slope- intercept form

sin 6x +4sin²3x= 0
sin x + sin 5x = sin 2x . sin 3x
tan 4x. tan 2x = -1
sin 5x + cos 5x - sin x + cos x =√2 cos 3x
cos 5x . cos x + sin³2x = cos 3x . cos x

Answers

Answer:

no entendi muy bien sorry  


Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a
mean of 450 seconds and a standard deviation of 50 seconds.
Suppose there are 97 emergencies in that town.
In about how many emergencies are the response times expected between 400 seconds and 500 seconds?
31
33
47
66

Answers

Answer:

66

Step-by-step explanation:

The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.

The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.

The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)

There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

mean = 450 sec

standard deviation = 50 sec

Hence, We get;

450-50 =400

450+50=500

Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.

68% = 0.68

Thus,

0.68 x 97 = 65.96 ≈ 66

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

-3z-z

HELP PLZ


Hahsjsjsnsksns snskskd

Answers

Answer:

-4z

Step-by-step explanation:

-3z-z

= -4z

Answer:

-4

Step-by-step explanation:

[tex] - 3z - z[/tex]

[tex] - 3z - 1z[/tex]

[tex]( - 3 - 1)z = - 3 - 1[/tex]

[tex] - (3 - 1)[/tex]

[tex] = - 4z[/tex]

Luz made a semicircular pendant with a radius of 8 centimeters to use on a key chain. She attached a wire around the edge of the pendant.

What is the approximate length of the wire she attached to the pendant?

41.13
50.27

Answers

The approximate length of the wire she attached to the pendant is 50.27

What is the approximate length of the wire she attached to the pendant?

The radius is given as:

r = 8 cm

The approximate length of the wire she attached to the pendant is calculated as:

Length = 2pi r

Where

pi = 3.14

So, we have:

Length = 2 * 3.14 * 8

Evaluate the product

Length = 50.24

Hence, the approximate length of the wire she attached to the pendant is 50.27

Read more about circumference at:

https://brainly.com/question/14283575

#SPJ1

Answer: The answer is 41.13.

Step-by-step explanation: I took the quiz and none of the other answers were correct.

Algebra
factorize
a4 - 3a2b2 + b4​

Answers

Answer:

The term a⁴-3a²b²+b⁴ can't be factorised

Solve the equation. The letters a, b, and c are constants and a≠0
ax-76 = 9c

i’m confused bc it doesn’t tell me what i’m solving for. please help! thank you!

Answers

Answer:

Step-by-step explanation:

Probably it's asking for x so you have to find x in term of a and c

ax = 9c+76

x = 9c+76/a

Answer:

Step-by-step explanation:

I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.

ax-76 = 9c                Add 76 to both sides

ax = 9x + 76              Divide by a

x = (9x + 76)/a

x/-2-3>2
SOlve the inequality

Answers

Answer:

x ∠ -10

Step-by-step explanation:

Answer:

[tex]x>-10[/tex]

Step-by-step explanation:

[tex]\frac{x}{-2} -3>2[/tex]

[tex]\frac{x}{-2} > 5[/tex]

[tex]x=-2[/tex] × [tex]5[/tex]

[tex]x>-10[/tex]

Plz help........
1. -1114 ÷ ( - 117)

2. -212 ÷ ( -123)

3. - 512 ÷ 58

4. 27 ÷ ( -79)

Answers

Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

how many solutions does the equation below have? 3x-8=-2x+9/3

Answers

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Which series represents this situation? 1+1*7+1*7^ 2 +...1*7^ 6; 1+1*7+1*7^ 2 +...1*7^ 7; 7+1*7+1*7^ 2 +... 1*7^ 6; 7+1*7+1*7^ 2 +...1*7^ 7

Answers

Answer:

Step-by-step explanation:

The series is missing from the question. I will answer this question with a general explanation by using the following similar series:

[tex]\sum\limits^6_{n=0} 7^n[/tex]

Required

The series

To do this, we simply replace n with the values

[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6

[tex]\sum[/tex] means the series is a summation series

So, we have:

[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]

[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]

Two neighbors in a rural area want to know the dsitance between their homes in miles what should the mneighbors us as a conversion factor to convert this distance to miles? 4,224 feet

Answers

They should use the conversion factor

1 mile = 5280 feet

To go from feet to miles, you divide by 5280

So,

4224 ft = 4224/5280 = 0.8 miles

The distance between their homes is exactly 0.8 miles

Help me please I need this

Answers

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look

Answers

[tex] \sqrt{117} [/tex]

Which expression below equals a rational number, choose all that apply.
Please help.

Answers

Answer:

BELOW IN BOLD.

Step-by-step explanation:

4/5 + 3/8

= 47 / 49 which id Rational

√100 + √5

= 10 + √5; - Irrational

7√5 - √245

=7√5 - 7√5

= 0  RATIONAL

Next one = 56 so Rational

Last one is Irrational

what’s is the quotient for the rational expression shown below?

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer

Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate? A translation can map one side onto another since dilations preserve side lengths of triangles. A translation can map one angle onto another since dilations preserve angle measures of triangles. A translation can map the center of a triangle onto another since dilations preserve the location of the center of triangles. A translation can map the vertices of one triangle onto another since dilations preserve the size of triangles.

Answers

Answer:

A translation can map one angle unto another since dilations preserve angle measures of triangles

Step-by-step explanation:

The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same

A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles

A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex

The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate

Answer:

A translation because it can map one angle onto another since dilations preserve angle measures of triangles.

Step-by-step explanation:

Multiply reciprocal of (-4/5) and 25/16 and add additive inverse of (-4/5) we get _____________

Answers

The reciprocal of -4/5 is -5/4.

-5/4 x 25/16 = -125/64

The additive inverse of -4/5 is 4/5.

So -125/64 + 4/5 = -369/320


I hope this was right.
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