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

here is a screenshot please help 15 points

Answers

Length is 2 cm and angle is 135

SUPER EASY! FRACTIONS PLS HELP!

a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.

1.what is the fraction of green crayons to the total number of crayons written in simplest form

2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form

3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?

Answers

Answer:

1: 1/3

2: 3/19

3: 7/3

Step-by-step explanation:

need help ASAP its due tonight

Answers

Answer:

Step-by-step explanation:

15/3 + 3 =

15/3 + 9/3 =

24/3 =

8

2(15) + 3              30 + 3                    33

-------------  =       --------------   =     ----------------

   3                           3                      3

33/ 3 =

11

mark me brainliest :D

       

first one is 15 divided by 3 which is 5 so 5+3 and then the next answer is 11 because 2x15 is 30 and 30+3 is 33 and 33 divided by 3 is 11 so in conclusion
first answer: 8
second answer:11

You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?

Answers

Answer:

1,000 ÷25 = 40 so 40÷20= $2.00

your answer is $2.00 hope this helps

If h(x) = 15x - 171, find h(3)

Answers

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

( DISCUSSION TOPIC )

NEED WITHIN 10 MINUTES!!!!


Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.

The prefix ir- means not.

What do you think it means for a number to be irrational?

Can you think of any numbers that are irrational?​

Answers

Answer:

A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.

An example of an irration number is the square root of 10, or pie because it is a infinited number

I hope this helps!

Answer:

the irrational is kind of a part

of the math that includes rational and

irrational numbers

what is -3 (x+2) = 16 -x

Answers

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

[Distributive Property] Distribute -3:                                                                -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides:                                     -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides:                                    -2x = 22[Division Property of Equality] Divide -2 on both sides:                                x = -11

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Answers

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]

Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2

Answers

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

50 Points Per Answer
Create a function in factored form for a roller coaster.

• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)

Answers

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4.  The domain of the function is [0, 4].

 

Use these initial conditions as your guidelines:

 

f(0) = 250

 

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

 

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

 

 

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima

you're so cool! I hope you have an awesome day!​

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

What’s that answer please

Answers

it is an isosceles triangle :)

Whats 16 x 32 what does it equal

Answers

512 16 times 32: 512

HELP ME PLEASE!!!!!!!!!!!!

Answers

i frist 1 1 2

Step-by-step explanation:

Y

Answer:

Step-by-step explanation:

i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!

(a−2b)^3 when a=−4 and b=−1\2

Answers

Answer:

- 125

Step-by-step explanation:

4-0,9+(-0,11)-(-1,3) PLEASE HELP

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

Keisha bought seventy-two trading cards for her and her eleven friends. If Keisha and her friends get an equal amount, how many cards does each person receive?

Answers

Answer: 6

Step-by-step explanation: You might think the answer is 72/11 but you must realize that keisha counts as a person too. Thus, the answer is 72/12 or 6 cards for each person :)

Would appreciate brainly <3

given:

72 trading cards

11 friends

to find:

how many cards each of her friend receives.

solution:

[tex] \frac{72}{11} [/tex]

[tex] = 6.5454545455[/tex]

[tex]nearest \: whole \: number = 7[/tex]

so, approximately each of her friend will get 7 cards.

answer= option C

answer the three questions pls

Answers

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

Can someone help please no links

Answers

Answer:

-4 or 4 I would have to go with-4!!

Step-by-step explanation:

I hope this helps in any way!!

Solve by substitution.

x-2y=2
2x-5y=3

I give Brainliest
Please explain step by step.

Answers

// Solve equation [1] for the variable x


[1] x = 2y - 1

// Plug this in for variable x in equation [2]

[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y


[2] y = 1
// By now we know this much :

x = 2y-1
y = 1
// Use the y value to solve for x

x = 2(1)-1 = 1

Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?

Answers

Step-by-step explanation:

[tex]a)[/tex]

[tex]4+5=9 (parts)[/tex]

[tex]b)[/tex]  our total is [tex]9[/tex] our boys are [tex]4\\[/tex]

our fraction is [tex]^4/_9[/tex]

[tex]c)[/tex]    [tex]^5/_9[/tex]

[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]

so we double [tex]4[/tex] which equals [tex]8[/tex]

[tex]^8/_{18}[/tex]

[tex]e)[/tex] [tex]^{10}/_{18}[/tex]

Brainliest please

GIVING BRAINLIEST!!!
A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?

Answers

The angle formed by the ribbon and the pole is 29°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle formed by the ribbon and the pole.

Hence:

[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]

The angle formed by the ribbon and the pole is 29°

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Find the measure of Angle 8

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Angle 8 = 99°

Since they form corresponding Angle pair ~

helpppp


simplify √5 × √3

Answers

Answer:

√15

Step-by-step explanation:

When you multiply surds:

multiply the numbers inside the square roots i.e. √(5 × 3) = √15simplify if possible (not possible in this case)

Hope this helps!

Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C

Answers

Answer:

imagine cheating on your star assessment but same tho the answer is c

Step-by-step explanation:

because i solved it on paper

Answer:

Step-by-step explanation:

C

The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.

Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No

Answers

Answer: 150 m, 5.305*10^-5 kW/m^2, No

Step-by-step explanation:

See attachment, hope this helps

Using the radiation intensity formula we will have to:

a) [tex]150 m[/tex]

b) [tex]5.305*10^{-5} kW/m^2[/tex]

c)No

From the data informed, we have:

[tex]h=150m\\P=40KW[/tex]

Using the given formula and performing some mathematical operations:

[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]

deriving the given equation, we will have:

[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]

So from this equation we have that the answer of the letter A corresponds:

[tex]R=150[/tex]

For letter B we will have to develop this equation:

[tex]I= 5.30X10^{-5}[/tex]

As for the letter C, when converting the value found, it should give 200 microwatts, which is false.

Learn more: brainly.com/question/10148635

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?

Answers

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

ILL GIVE YOU BRANLIEST IF YOU ANSWER!!!

Answers

Answer:

25×4 + 10×5

He can but 4 reserved seats and 5 general seats.

Step-by-step explanation:

25×4 is 100

10×5 is 50

100+50 is 150 dollars.

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.

Answers

The absolute value function that could represent this situation is:

[tex]|D - 42.67| = 0.002[/tex]

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

[tex]|D - 42.67| = 0.002[/tex]

A similar problem is given at https://brainly.com/question/24514895

solve pls brainliest

Answers

Answer:

1/4

Step-by-step explanation:

The constant of proportionality is 1/4.

Answer:

b

Step-by-step explanation:

The form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{1}{4}[/tex] x ← is in standard form

with k = [tex]\frac{1}{4}[/tex]

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