In GHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true? A. G is smallest B. J is smallest C. H is largest D. G is largest

Answers

Answer 1

Answer:

G is the smallest

H is the largest

Step-by-step explanation:

Given

[tex]GH = 21[/tex]

[tex]HJ = 24[/tex]

[tex]GJ = 9[/tex]

Required

Which of the statements is true

First, we need to solve for G, H and J as follows:

[tex]G + H = 21[/tex] --- (1)

[tex]H + J = 24[/tex] --- (2)

[tex]G + J = 9[/tex] --- (3)

Make G the subject in (1)

[tex]G = 21 - H[/tex]

Substitute 21 - H for G in (3)

[tex]21 - H + J = 9[/tex]

Collect Like Terms

[tex]-H + J = 9 - 21[/tex]

[tex]-H + J = -12[/tex]

Make J the subject

[tex]J = H - 12[/tex]

Substitute H - 12 for J in (2)

[tex]H + H - 12 = 24[/tex]

[tex]2H - 12 = 24[/tex]

Collect Like Terms

[tex]2H = 24 + 12[/tex]

[tex]2H = 36[/tex]

Solve for H

[tex]H = 18[/tex]

Substitute 18 for H in [tex]J = H - 12[/tex]

[tex]J = 18 - 12[/tex]

[tex]J = 6[/tex]

Substitute 18 for H in [tex]G = 21 - H[/tex]

[tex]G = 21 - 18[/tex]

[tex]G = 3[/tex]

So, we have that:

[tex]G = 3[/tex]     [tex]J = 6[/tex]     [tex]H = 18[/tex]

Hence, we can conclude that:

G is the smallest

H is the largest


Related Questions

find the y intercept

Answers

Answer:

(0,12)

Step-by-step explanation:

As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship.  That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.

consider the line y=9x-8
find the equation of the line that is parallel to this line and passes through the point (-8,3)

Answers

Answer:

y=9x+75

Step-by-step explanation:

since we know that the slope must be the same for two lines to be proportional, we are gonna start there.

so our equation is: y= 9x + b

we need to find b to complete our equation, so substitute in the points we were given.

3 = 9(-8) + b

so now,

3 = -72 + b

now we have to isolate b to find out what it is,

3  =  -72 + b

+72   +72

so now: 75= b

Put that back into the starting equation: y = 9x + 75

A box question, very hard, please help

Answers

Answer:

the X box one

Step-by-step explanation:

X>moon>star>heart>circle

+ 19=20+24
A 11
B 13
C 15
D 25

Answers

Answer:

its D 25

i just know stuff

Identify the hypotenuse.

A. MN
B. LN​

Answers

Answer:

The hypotenuse is line segment MN.

Step-by-step explanation:

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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.

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#teamtrees #WAP (Water And Plant)

The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.

Answers

2200 * 0.30 = 660
2200 + 660 = 2860
2860 * 0.50 = 1430
2860 - 1430 = 1430
The final number is 1430

Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different

Y intercept
End behavior
Domain
Range
Horizontal asymptote

(More than one answer)

Answers

Answer:

y-intercept,

end behavior,

range,

and horizontal asymptote

Step-by-step explanation:

I just finished the PLATO test and these are the answers

The answers are y-intercept, end behaviour, range and horizontal asymptote.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a parent function:

f(x) = eˣ

The transformed function:

g(x) = -f(x) - 4 = -eˣ - 4

g(0) = -5

f(0) = 1

From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.

Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Pinning as branliest for best explained answer ::

4x + 3y = 0
5y + 53 = 11x

solve : substitution method

Answers

Answer:

sol:x=(5y+53)/11

value of x in 4x+3y=0

4×(5y+53)/11+3y=0

(20y+212+33y)/11=0

53y+212=0/11

y=-212/53

y=-4

now

value of x

4x+3y=0

4x+3×-4=0

4x=12

x=12/4

x=4

by solving both we get,

What would the rate of change be for this?

Answers

Answer:guess

Step-by-step explanation:?

Which angles are adjacent angles?

Answers

TUV and VUW, they all share the same vertex (corner), meaning that they are adjacent.

What is the excluded value of x-6/ x+4​

Answers

Answer:

-4

Step-by-step explanation:

x+4=0

x=-4

Answer:

x = - 4

Step-by-step explanation:

Given

[tex]\frac{x-6}{x+4}[/tex]

The denominator of the rational expression cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 4 = 0 ⇒ x = - 4 ← excluded value


The distance from Jason's house to school is 0.1 kilometer. What is this distance in meters?

Help pls

Answers

Answer:

100 meters

Step-by-step explanation:

0.1 x 1000 = 100 m

please answer both questions i will fail if i don't get these

Answers

Answer:

its  below

Step-by-step explanation:

a) (0,1)   (-1,2)  (1,2)  (2,5)   (-2,5)

b) (0, -1, 1, 2, -2)

c) (1,2,5,5)

#4 a)  f(-5) = 39

b) f(1) = -9

Sarah is 5 years old and Clayton is x years older than Sarah.
In how many years will Clayton be three times older than Sarah is now?

Answers

Answer:

10-x

Step-by-step explanation:

hope it helped

In 10 years Clayton will be three times older than Sarah is now.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Sarah is 5 years old and Clayton is x years older than Sarah.

∴  Clayton is (x + 5) years old.

So, In (x + 5) = 3×5 years Clayton will be three times older than Sarah is now.

∴ (x + 5) = 15.

x + 5 = 15.

x = 15 - 5.

x = 10.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Please help me you’ll get brainlest!
4/5

Answers

Answer:A

Step-by-step explanation:

Answer:

3rd answer option

Step-by-step explanation:

√26 ≈ 5,1

√31 ≈ 5,6

1/2 + 1/3 hElP!!!!!!!

Answers

First you need to get the same denominator on both fractions. You can do this buy multiplying the fraction by the other fractions denominator:

1/2 + 1/3

1/2 x 3 = 3/6

1/3 x 2 = 2/6

So the new expression with the same denominators is:

3/6 + 2/6

Then just add the numerators:

5/6

Item 20
Write the word sentence as an equation. Then solve.

The difference between a number p and 6 is −14.

Equation:

Solution: p=

Answers

Answer:

p-6=-14

Step-by-step explanation:

since it is said that it is the difference between them

equation: p - 6 = -14

solution : p = -8

Determine whether AB and CD are parallel, perpendicular, or neither. A(2,8), B(-1, -2), C(3, 7), D(0, -3)

Answers

Answer:

they're parallel

I confused what answer is it

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help

Answers

Answer:

22 units

Step-by-step explanation:

Known Quantities:

AB = CD and AC = BD

Calculations:

AB = 8AC = 3CD = 8BD = 3

Final Calculations:

perimeter = 2 x (3+8)perimeter = 22

simplify 0.00021 * 0.000028 and Express your answer in standard form(scientific notation) ​

Answers

Answer:

=58.8*10⁻⁴

Step-by-step explanation:

0.00021  * 0.000028 = 210*10⁻⁶ * 28*10⁻⁶

= (210*28)10⁻⁶

= 5880*10⁻⁶

= 58.8 * 10⁻⁴

Answer:  2.1×10⁻4  and 2.8×10⁻5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.  2.1×10⁻4

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.8×10⁻5

Olivia reads 2/5 of her book on Monday and on Tuesday she reads 1/6 of what is remaining and then on Wednesday she reads the final 35 pages. So how many pages are in the book

Answers

Answer:

Step-by-step explanation:

Here's what we know:

1/6 + 2/5 + x = 1 (the fractions read plus the 60 pages (currently an unknown fraction) makes one whole book)

First we need a common denominator. LCD is 30:

5/30 + 12/30 + x = 1

18/30 + x = 1

Subtract:

x = 30/30 - 18/30

x = 12/30

Now we have an equivalency. 60 pages out of the whole book is equal to 12/30. Or:

60/y = 12/30

Cross multiply:

60 * 30 = 12y

Divide both sides by 12:

60 * 30 / 12 = y

Factor out a 6:

10 * 30 / 2 = y

Factor out 2:

10 * 15 = y

150 = y

There are 150 pages in the book.

try this!!!!!!!


My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.
Determine all possibilities for the ages of my grandparents’ grandchildren.

Answers

Answer:

The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

Step-by-step explanation:

The given parameters are;

The number of grandchildren in the family = 4

The product of the ages of the four grand children = 67184

The age of the youngest grandchild < 10

The age of the oldest grandchild = 30 + The age of the youngest grandchild

Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild

Therefore, we have;

a < 10

The age of the oldest grandchild = a + 30 < 10 + 30

∴ The age of the oldest grandchild < 40

The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184

The factors of 67184 that are between 1 and 40 are;

1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38

Taking a = 8, we have;

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342

Therefore. a × b = 67184/(a × (a + 30) = 196.44

Therefore, a ≠ 8

For a = 4, we have the age of the oldest grandchild = a + 30 =  4 + 30 = 34

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136

Therefore. a × b = 67184/(a × (a + 30) = 494

We find that the other factors of 67184, which are 19 and 26 have a product of 494

Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

To give, 4 × 19 × 26 × 34 = 67,184.

A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 3x + 26; 0 ≤ y ≤ 4
f(x) = 3x + 23; 26 ≤ y ≤ 35
f(x) = 3x + 26; 26 ≤ y ≤ 35
f(x) = 3x + 23; 0 ≤ y ≤ 4

Answers

Answer: brainlest

date: 11/28/20   time: 2:42 pm   name tom  

hello please mark me as brainlest and hope this is what you needed ok

Answer:

So, f(x) = 6 x + 30; 0 ≤ y ≤ 4

Step-by-step explanation:

Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.

To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.

Solution:

A sequence is a list of numbers in a specific order following some pattern.

A sequence is said to be arithmetic if difference between the terms is same.

For the first week, number of clients = 30

For the second week, number of clients = 30 + 6(1)

For the third week, number of clients = 30 + 6(2)

For the third week, number of clients = 30 + 6(3)

For the fourth week, number of clients = 30 + 6(4)

So, f(x) = 6 x + 30; 0 ≤ y ≤ 4

Step-by-step explanation:

Answer:

A) f(x) = 6x + 30; 0 ≤ y ≤ 4

Step-by-step explanation:

I JUST TOOK THE TEST

Answer: B

Step-by-step explanation:

for all of you on FLVS, its B

pls give two answers for good measure

Answers

Answer:

2nd answer choice.

Step-by-step explanation:

The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.

Step-by-step explanation: To solve for x in this inequality,

your goal is the same as it would be if you were solving an

equation, to get x by itself on one side.

Since 5 is being subtracted from x, add 5 to both sides of the inequality.

On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.

So we have x ≥ 3.

When graphing, start with a closed dot at +3 because x is

not just greater than +3, it's equal to it as well.

Then draw an arrow to the right, like I have done below.

Which algebraic expression means "four less than three times a number"?
O 4-12
O 3n-4
O 4-3
O n-4

Answers

Answer: is 4-3

Step-by-step explanation:

4-3

If a train can travel 744 miles and 3 hours what is the unit rate that this train is traveling per hour

Answers

Answer:

248 mph (miles per hour)

Step-by-step explanation:

744 miles (in 3 hours) ÷ 3 hours = 248 mph (miles per hour)

Check if answer is correct:

248 mph × 3 hours = 744 miles in 3 hours

Final answer:

248 mph

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

If Helena starts school at 8:00am and must spend 45 minutes in each of her 6 classes, with two 30 minute breaks, at what time will she be finished her classes?

Answers

Answer:

1:30 pm

Step-by-step explanation:

45 x 6 (6 classes and 45 min per class) = 270

30 x 2 (2 breaks and 30 min per break) = 60

270 + 60 (Add time together) = 330

330 / 60 (Only 60 minutes in an hour) = 5 1/2

8 + 5 1/2 (Add starting time and at school time together) = 13 1/2

13 1/2 = 1:30 pm (Calculate to actual time)

In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the toothpaste then find the number of persons who use at least one of the toothpaste​

Answers

Answer:

let W and R represent white toothpaste and red toothpaste represently

n(W)=143

n(R)=135

n(WnR)=70

n( WuR)=?

Now,

n(WuR)=n(W)+n(R)_n(WnR)

=143+135_70

=208

that's all don't forget to write therefore.

Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

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