Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?

Answers

Answer 1

Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC    Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle  is 31

Perimeter =  AB + BC + AC  perimeter is the sum of the sides

 31 = (x )+ (x - 4 ) + (2 + x)

  31 = 3x - 2

   33 = 3x

   11 = x

AB = x = 11 inches

Check:  

AB = x  ;    AB = 11

BC = x - 4;  BC = 11 - 4; BC = 7

AC = 2 + x;  AC = 2 + 11; AC = 13      

  P = 11 + 7 + 13

      = 31


Related Questions

write the equation of the line from the given information. slope 1/2, through (4,-3)

Answers

Answer:

y+3 = 1/2 (x-4)

Step-by-step explanation:

We can write the equation in point slope form

y-y1 = m(x-x1)

The slope is m and the point is (x1,y1)

y - -3 = 1/2(x -4)

y+3 = 1/2 (x-4)

Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the volleyball team this year?

Answers

Answer:

22

Step-by-step explanation:

10% of 20 is 2, so when you add the previous amount and the percentage you end up with 22

18 girls now.
20 x 10% = 2
20-2=18

12 Times the product of 43 and a number B

Answers

Answer: 12*(43*B)

Step-by-step explanation:

12*(43*B)

would love it if someone helped with this question please...

Answers

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

40 dollars

10/6= 1.666666666666667
Multiply 1.666666666666667 by 24 you get 40

what is the equation of the trend line in the scatter plot

Answers

Answer: y = -x + 8

When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)

what is the correct answer?!!

Answers

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?

Answers

The final price will be $951.93

Step by step explanation:

%7 of 899 is 62.93.

889 + 62.93 = 951.93

Hope this helps!! :)

Answer:

$961.93

Step-by-step explanation:

7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.

solve for x 10 points
3 1/5−1/4x=−4/5

Answers

3⅕ - ¼x = -⅘

-¼x = -⅘ - 3⅕

-¼x = -4 / · (-4)

x = 16

Please help me with this homework

Answers

Answer:

C.

Step-by-step explanation:

Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5

Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0,1]. lim n tends to infinity 1/n(1/n^1/2+2/n^1/2+3/n^1/2+.....n/n^1/2)

Answers

Answer:

so67 =9

Step-by-step explanation:

if someone would me it would meaqn alott

Answers

Answer:

ration of bream to tench to carp

12: 7: 21

Step-by-step explanation:

12/40 = bream

28/40 = not bream

(28/40) x (1/4) = tench

(28/40) x (3/4) = carp

tench = (28/40) x (1/4)

= 7/40

carp = (28/40) x (3/4)

= 21/40

ration of bream to tench to carp

12: 7: 21

Answer:

12:7:21

Step-by-step explanation:

If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).

30 x 50 x 60 - 100 +150

Answers

90000-100+150
90000+50
90050

Write the following fractions in descending order:
7
2
,
2
8
,
5
4
, and 9
4
5. Simplify:
a.
1
8
+ 5
12
+ 5
6

b. 4
3
5
+ 2
7
10
c. 2 -
3
8

Answers

Answer:

a

Step-by-step explanation:

pls help me with these 2 questions​

Answers

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

6-3b-6= -15
i need help asappl

Answers

Hello there!

6-3b-6=-15

-3b=15+6-6

-3b=15

b=-3

Hope it helps you!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

b=5

Step-by-step explanation:

6-3b-6=-15

     -3b=-15

      3b=15

        b=15÷3

          =5

Find the least common denominator between the two fractions 2/3 and 3/5

Answers

Answer:

15 is the least common denominator between the two fractions

Could somebody help me with this problem

Answers

Answer:

  72.8 cm³

Step-by-step explanation:

The relevant formula is ...

  V = Bh

Using the given values, you find the volume to be ...

  V = (10.4 cm²)(7 cm) = 72.8 cm³

What are the possible integer values of x when 3 < x < 7.

Answers

Answer:

4,5 and 6

Step-by-step explanation:

If 3<x that means x>3

If x<7 that means 7>x

possible integer values are 4,5 and 6

what would the answer be need help

Answers

Answer:

The equation would change to be f(x) = 12x + 50

Step-by-step explanation:

The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.

This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.

Thus, your new equation will be f(x) = 12x + 50

Can Someone please help me with this Math homework? Please respond ASAP

Answers

It’s y=x+5 your welcome have a nice day

Choose the graph that matches the inequality ­–x + y ≥ 2

Answers

Answer:

D

Step-by-step explanation:

-x + y >= 2

first of all, it means it includes the line (the "=" part).

that eliminates B and C.

then just look at the line function itself :

-x + y = 2

y = x + 2

and now

y >= x + 2

so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.

The required graph has been attached below which represents the given inequality ­–x + y ≥ 2. which is the correct answer that would be an option (D).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question below as

–x + y ≥ 2

First and foremost, it signifies that it includes the line (the "=" element).

This rules out B and C.

Then evaluate the line function itself:

-x + y = 2

y = x + 2

and now

y ≥  x + 2

As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.

Thus, the required graph has been attached below which represents the given inequality ­–x + y ≥ 2.

Hence, the correct answer would be an option (D).

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ2

Ibrar bought a house for £250,000
The value of the house depreciated by 2% in the first year.
The value of the house depreciated by 0.6% in the second year.
Ibrar says,
"2 + 0.6 = 2.6 so in two years the value of my house depreciated by 2.6%"
Is Ibrar right?
You must give a reason for your answer

Answers

Step-by-step explanation:

nope!

because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total

 Find the perimeter. Simplify the answer

Answers

[tex]3s - 1 + 7s - 1 + 10s - 8 + 10s - 8 \\ 10s - 2 + 20s - 16 \\ = 30s - 18[/tex]

Add the sides and then combine like terms and solve it the answer should be 30s-18

i need help asap pls & ty

Answers

Answer:

solution : 2f+2g

Step-by-step explanation:

(f+g)(2)=

multiply each term in the parentheses by 2.

= 2f+2g

I hope tama

Find the area of a circle with a circumference of
units.

Answers

[tex]A = \frac{ {C}^{2} }{4\pi} \\ [/tex]

This is the formula for circumference of circle

6x + 13 = 12x - 20 solutions

Answers

Answer:

6x + 13 = 12x - 20

Step-by-step explanation:

6x + 13 = 12x - 20

What is 2 raised to the fourth power?​

Answers

Answer:

16

Step-by-step explanation:

2x2x2x2 = 16

2^4 would be the same as 2x2x2x2

2x2x2x2 = 16 !!

Given minimum and maximum data entries and the number of classes min = 75, max = 280, 10 classes. Write the first five lower class limit.

Answers

The lower class limit is simply the least data element that can enter a class.

The first five lower class limits are: 75 , 96, 117, 138 and 159

The given parameters are:

[tex]\mathbf{Min = 75}[/tex]

[tex]\mathbf{Max = 280}[/tex]

[tex]\mathbf{Class = 10}[/tex]

Calculate the range

[tex]\mathbf{Range = Max - Min}[/tex]

[tex]\mathbf{Range = 280 - 75}[/tex]

[tex]\mathbf{Range = 205}[/tex]

Divide by the number of classes, to determine the class width

[tex]\mathbf{n =\frac{205}{10}}[/tex]

[tex]\mathbf{n =20.5}[/tex]

Approximate

[tex]\mathbf{n =21}[/tex]

So, the lower limits are:

[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]

[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]

Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159

Read more about lower class limits at:

https://brainly.com/question/7949481

Write an equation for a line with a slope of (-2) and the point (5,9)

Answers

Answer:

2x+y-19=0

Step-by-step explanation:

Slope = -2

The line passes through the points (5,9)

The equation of the line is

y-9 = -2(x-5) (Gradient and 1 point form)

y-9 = -2x+10

2x+y-19 = 0

Find the slope of each line of the graphs to the right. Which graph has the greater​ slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.

Answers

Answer:

Line 2

Step-by-step explanation:

line one's slope is one and line 2 is 3

Answer:

Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.

Step-by-step explanation:

Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope

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