AABC is shown below. GE = -3y + 18 and GF = 5y + 2.
E
B
F
Find the measure of the radius of the inscribed circle of AABC.
Radius =

AABC Is Shown Below. GE = -3y + 18 And GF = 5y + 2.EBFFind The Measure Of The Radius Of The Inscribed

Answers

Answer 1

Answer:

Radius = 12

Step-by-step explanation:

For an inscribed circle of a triangle ABC,

GE = GF = GD = radius of the inscribed circle

Therefore, (-3y + 18) = (5y + 2)

-3y + 18 - 5y = 5y + 2 - 5y

-8y + 18 = 2

-8y + 18 - 18 = 2 - 18

-8y = -16

8y = 16

[tex]\frac{8y}{8}=\frac{16}{8}[/tex]

y = 2

Therefore, GE = -3y + 18

                       = -3(2) + 18

                       = -6 + 18

                       = 12

Radius of the inscribed circle = GE = 12 units

Answer 2

The measure of the radius of the inscribed circle is 12 units

From the given diagram, GE = GF

Given the following parameters:

GE = -3y + 18 and:

GF = 5y + 2

Equating both expressions

-3y + 18 = 5y + 2

-3y - 5y = 2 - 18

-8y = -16

y = 16/8

y = 2

The measure of the radius of the inscribed circle is GE

GE = -3y  + 18

GE = -3(2) + 18

GE = -6 + 18

GE = 12 units

Hence the measure of the radius of the inscribed circle is 12 units

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Related Questions

How to find n in 38n4​

Answers

Answer:

Step-by-step explanation:

imagine 38 n = lets say b

so b/b/b/b/b

and divide that by 38

hi can anyone plz help me with this and can you explain how you got it ​

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Answer:

x = 62

Step-by-step explanation:

Since the 2 legs of the triangle are congruent, both 6 , then the triangle is isosceles and the base angles are congruent, that is

x = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62

ssssssssssssssssssssssssssshhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhStep-by-step explanation:

3 fewer than than a number ,p

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Answer:

p - 3

Step-by-step explanation:

If the number is "p", it would be p - 3

Hope this answered your question! <3

The sum of two numbers is 23. The difference of those two numbers is 13. The larger number is x, and the smaller number is y.

Answers

The smaller number is 10 bc 23-13=10
So x=13 y=10

Y'ALL PLEASE HELP 8TH GRADE MATH PLEASEEEEEE

Answers

Answer:

option d (or the last one)

Step-by-step explanation:

-4 - (-1) = -4 + 1

-4 + 1= -3

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Answer:

D

Step-by-step explanation:

When you minus any negative number from a negative number, it is basically positive and that makes the answer D because it represents those transactions

2x – 3 = 7.
What’s the answer

Answers

Answer: The answer is x=5

Step-by-step explanation: 2x-3=7

                                                   +3=+3

                                             2x=10

                                              x=5

A circular wire of length 176 cm is rebound to a rectangle whose length is same as the diameter of the circle. Find the difference in both the areas ?

Answers

Answer:

The difference in area is 672 cm^2

Step-by-step explanation:

Firstly, let us get the diameter of the circle

The length of the wire is the measure of the circle’s circumference

mathematically;

C = pi * d

176 = 22/7 * d

22d = 7 * 176

d = (7 * 176)/22

d = 56 cm

So, the area of the circle will be;

pi * d^2/4

= 22/7 * 56 * 56 * 1/4

= 2464 cm^2

Also, the length of the circumference is same as the perimeter of the rectangle

From the perimeter of the rectangle, we can get the width and use that to calculate the area of the rectangle

The formula for the perimeter of the rectangle is;

2(l + b)

2(56 + b) = 176

56 + b = 88

b = 88-56

b = 32 cm

So, the area of the rectangle will be;

32 * 56 = 1792 cm^2

The difference between the two areas will be;

2464-1792 = 672 cm^2

How much should be added to the sum of 25 1/6 and 7 2/5 to get 60?

Answers

Answer:

3.77 should be added

hope it helps.

Answer:

823/30

or 27 13/30

decimal: 27.43

Step-by-step explanation:

(25+7)+ (1/6 + 2/5)

32+ (5/30 + 12/30)

32+ 17/30

= 32 17/30

60- 32 17/30

= 1800/30 - 977/30

= 823/30

= 27 13/30

is it one to one or onto? why?​

Answers

Answer:

Step-by-step explanation:

Given quadratic function is,

f(x) = -x² - x + 1

Range of the function has been defined as (-∞, [tex]\frac{5}{4}[/tex] ]

Domain of the function is a set of all real numbers.

From the graph of this function,

At x = -3 and x = 2, value of y = -5

But for one to one functions, every x value should map to a different value of y.

Therefore, function is not one to one.

Since, every value of domain (x-value) maps the range (y-value) in the given range (-∞, [tex]\frac{5}{4}[/tex] ], function will be defined as onto.

Therefore, this function is ONTO, but NOT ONE TO ONE.

Question 3 (4 points)
(04.01 LC)

Which of the following types of rocks are likely to disintegrate by weathering and erosion? (4 points)

a
Igneous rocks only

b
Metamorphic rocks only

c
Both igneous rocks and metamorphic rocks

d
Neither igneous rocks nor metamorphic rocks

Answers

C both Igneous and Metamorphic Rocks Because Weathering can Break down or Dissolve them.. Erosion Transports the bits of the Rocks Away..

Anybody know the answers to this

Answers

Answer:

no sorry

Step-by-step explanation:

I have this same question can you let me know when someone answers

please can someone help my assignment​

Answers

Answer:

Find answers below

Step-by-step explanation:

First know that any value raise to power zero is 1 and also according to the inverse law;

a⁻ⁿ = 1/aⁿ

Given the following

a) (-123)⁰ = 1 ()Note that any value raise to zero is 1

b) 43⁻⁵ = 1/43⁵

1/43⁵ = 1/147,008,443

c) 1/15⁻⁶ = 1/(1/15⁶)

1/(1/15⁶) = 1*15⁶/1

1/(1/15⁶) = 15⁶

d) -(1353348)⁰

= -1 (anything raise to zero is 1)

e) 13⁻⁴ = 1/13⁴

= 1/28,561

Solve the system of equations:
y = 2x
y=x2-3

A. (-1,2) and (3, 2)
B. (-2, -4) and (2, 4)
C. (-2, 1) and (2, 1)
D. (-1, -2) and (3, 6)​

Answers

Answer:

D. (-1, -2) and (3, 6)

Step-by-step explanation:

y = 2x

y = x² - 3

2x = x² - 3

x² -2x - 3 = 0

(x + 1)(x - 3) = 0

x = -1 or x = 3

y = -2 or y = 6

What is the scale factor of the dilation shown?

need help really will appreciate it.​

Answers

Answer:3/4

Step-by-step explanation:

4) Which pair of triangles is congruent by Angle - Angle- Side

Answers

Answer:

2

Step-by-step explanation:

Two angles are congruent, and one side is congruent in the pair of triangles, option 2.

Answer:

2 should be the answer

Step-by-step explanation:

since two angles are equal and one side in equal you can write triangle ABC=TAY by angle angle side axiom

Write the algebraic expression for... 16 less than a number n

Answers

Answer: n-16

Step-by-step explanation:

The algebraic expression for 16 less than a number n is thesame thing as subtracting 16 from n which will be represented as: n - 16.

Therefore, the algebraic expression for 16 less than a number n will be = n - 16

Value of the derivative of g(x)=8-10Cosx at 'x=0' is?

Answers

Answer:

g'(0) = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Pre-Calculus

Unit Circle

Calculus

DerivativesDerivative NotationThe derivative of a constant is equal to 0Derivative Property: [tex]\frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]Trig Derivative: [tex]\frac{d}{dx} [cos(x)] = -sin(x)[/tex]

Step-by-step explanation:

Step 1: Define

g(x) = 8 - 10cos(x)

x = 0

Step 2: Differentiate

Differentiate [Trig]:                    g'(x) = 0 - 10[-sin(x)]Simplify Derivative:                   g'(x) = 10sin(x)

Step 3: Evaluate

Substitute in x:                    g'(0) = 10sin(0)Evaluate Trig:                      g'(0) = 10(0)Multiply:                               g'(0) = 0

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Answer:

.1i01390

Step-by-step explanation:

Function w gives the weight of a cat, in kilograms, when it is m months old.
Which statement represents the meaning of the equation w(7) = 4 in this situation?
A) The cat weighs 7 killograms when it is 4 months old.
B) The cat weighs 4 kilograms when it is 7 months old.
C)The weight of the cat has been 7 kilograms for 4 months.
D) The cat weighs 4 kilograms when it is 7 years old.

Answers

Option B) The cat weighs 4 kilograms when it is 7 months old.  is correct answer.

Given that:

w gives weight of cat, in kgs, when it is m months old.

To find:

What does w(7) = 4 represents.

Explanation:

It is already given that w gives weight in kilograms.

It outputs weight when we tell the age in months, thus, this is what we treat as input.

w(7) means weight when cat is 7 months old.

and w(7) = 4 represents that the cat weighs 4 kilogram when the age of cat is 7 months.

Thus, Option B) The cat weighs 4 kilograms when it is 7 months old.  is correct answer.

Learn more about functions here:

https://brainly.com/question/24846347

The correct option is Option B) The cat weighs 4 kilograms when it is 7 months old.

The following information should be considered:

The equation is w(7) = 4.Here car weight should be 4 kilograms at the time of 7 months old. Since w denotes the weight of the cat and m denotes the months.

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Jimmy walked 5 miles east from his campsite. Then from his current location he decided to walk 3 miles south. Determine Jimmy’s Bearing From his current location to his campsite

Answers

He would have walked 3 miles south (backwards) making him 2 miles from his original starting point

need help asap
) Here is a list of numbers:
2, -19,-13, 9, 14,-4, 15, 5, 1
State the median.​

Answers

Answer:

The median is: 2

Step-by-step explanation:

First put the numbers in ascending order:

-19, -13, -4, 1, 2, 5, 9, 14, 15

The value in the middle will be the median.

Answer:

2

Step-by-step explanation:

for finding the median you can either arrange the set of numbers in increasing order or decreasing order

then you come the numbers in group of food from the beginning and end then the last single number you get to be your Median number

In increasing order

-19,-13,-4,1,2,5,9,14,15

One grain of this sand approximately weighs 6 x 10^-6g.
b) How many grains of sand are there in 7200 kg of sand?
Give your answer in standard from.​

Answers

Answer:

1.2×10¹² grains

Step-by-step explanation:

1 grain = 6×10⁻⁶ g

7200 kg = 7200000 g = 7.2×10⁶ g = 7.2×10⁶ ÷ 6×10⁻⁶ = (7.2÷6)×10⁶⁻ ⁽⁻⁶⁾ =1.2×10¹² grains

ion understand this one ​

Answers

Answer:

114

Step-by-step explanation:

\+_+/

114 is the answer if you are confused just look at it it is the same angle

Which system of linear inequalities is represented by the graph?

y > x – 2 and y x + 1
y x + 1
y > x – 2 and y < x + 1

Answers

Answer:

D) y > x – 2 and y < x + 1

Step-by-step explanation:

- Graph each system of linear inequalities.

- Examine each graphed system of linear inequalities

- Match the system of linear inequalities that looks the same as the graph shown

Remember:

> and < are dashed lines

≥ and ≤ are solid lines

if y is ≥ or > , then the shaded region is above the graphed line

if y is ≤ or <, then the shaded region is below the graphed line

m = slope

b = y intercept

change the inequality sign into an equal sign to check the y intercept.

use the equation y = mx + b to check each one

Hope this helps!

Answer:

Answer:

D) y > x – 2 and y < x + 1

Step-by-step explanation:

- Graph each system of linear inequalities.

- Examine each graphed system of linear inequalities

- Match the system of linear inequalities that looks the same as the graph shown

Remember:

> and < are dashed lines

≥ and ≤ are solid lines

if y is ≥ or > , then the shaded region is above the graphed line

if y is ≤ or <, then the shaded region is below the graphed line

m = slope

b = y intercept

change the inequality sign into an equal sign to check the y intercept.

use the equation y = mx + b to check each one

Step-by-step explanation:

A flower shop sells 11 different bouquets and multiple different styles of vase. Which are the possible numbers for the total number of combinations of bouquet and vase?

Answers

Total combinations would be found by multiplying the number of different bouquets by the number of different vases.

The problem doesn't say how many different vases there are so using the letter v for vases, multiply 11 by v

Total combinations = 11v

help this is geometry

Answers

Answer:

a=corresponding sides of congruent triangles

b= by SAS condition ( ac=ce, acb=oce,oc=cb)

What is the relationship between 21 and 22?
2
1
a
They are Alternate Interior
They are congruent
They are right angles
They are adiacent

Answers

someone please help her or him please

is 0.21 greater than 0.27

Answers

Answer:

no

Step-by-step explanation:

0.27 is greater than 0.21

hope it helps

No 0.27 is greater.

The class has 12 girls and 16 boys. What is the ratio of total students to boys in simplest form?

Answers

Answer:

7:4 is the simplest form.

Step-by-step explanation:

total number of students is 28 and number of boys is 16 which makes the ratio 28:16

when we simplyfy it we get 7:4.

how can -3/5 + 2/5 be modeled on a number line?

Answers

Answer:

You cab try to divide it evenly as best you can into 5 different sections and then mark them

Step-by-step explanation:

you go in between 1 and -1 and make them go up by fifths to show you work and then just use the numbee line as you know how to

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