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2 years ago

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

Mathematics

2 answers:

shtirl [24]2 years ago

6 0

BG ≅ AG

BG is the perpendicular to the side of the triangle while AG is the angle bisector , So BG cannot equal AG , So BG cannot be congruent to AG. Hence first is false.

DG ≅ FG

DG And FG both are the perpendicular to the sides from the incentre of the circle , Hence DG and FG are congruent , So second statement is true.

DG ≅ BG

Again DG and BG both are the perpendicular to the sides from the incentre of the circle , Hence DG and BG are congruent , So third statement is true.

GE bisects ∠DEF

As said in the question GE is the angle bisector , So yes GE bisects ∠DEF.

This Statement is true.

GA bisects ∠BAF

Again As said in the question GA is the angle bisector , So yes GA bisects ∠BAF.

Hence 2nd, 3rd , 4th , and 5th options are correct.

elena-s [515]2 years ago

4 0

Answer:

2,3,4,5 are the answers

Step-by-step explanation:

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A woman who is 64 inches tall has a shoulder width of 16 inches. How tall is a woman who has a shoulder width of 18.5 inches?

mel-nik [20]

If we turn this to a ratio we get 64:16 and we need ?:18.5. To easily solve this we would divide 64 by 16 and 64/16= 4 now that we know that the shoulder width is 1/4 if a persons height we can then multiply 18.5 by 4 to find the woman’s height. 18.5x4=74
So your answer is 74 inches

7 0

1 year ago

Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia's score. Use

Rama09 [41]

Let Mia's score be $x$ . Then, Erick scored 10 more than Mia, so his score is $x+10$ . Isabelle scored 16 less than twice Mia's score, so her score is $2x-16$ . We can see that $x + x + 10 + 2x - 16$ is the sum of these variables, so the expression represents the total of their scores in this scenario. Moreover, we recall that the variable in the expression, $x$ , represents Mia's score.

To simplify this expression, we add up the variables and the numbers separately, giving us $x+x+10+2x-16 = (x+x+2x) + (10-16) = 4x-6$ . Therefore, in simplified form, the expression is equal to 4x - 6. The constant term in an expression is the term not multiplied by a variable, so in this case, it is -6.

5 0

2 years ago

Read 2 more answers

Rachel states that -5.5 is an integer because it is negative. Is she correct. Why or why not?

enot [183]

Answer:

She is incorrect.

Step-by-step explanation:

She is incorrect.

An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.

Here are the integers:

..., -3, -2, -1, 0, 1, 2, 3, ...

-5.5 is not an integer.

5 0

2 years ago

Read 2 more answers

I see that your new product is available for 412.50 on the website. How much is it if I buy it in the store? The website is a 25

OverLord2011 [107]

Answer with explanation:

Price of Product on the Website = $ 412.50

It is given that, product is offered at a discount of 25% on the website.

Let actual price of product on the store = $ x

Writing the above statement in terms of equation

→Price at store - Discount= Price at Website

$x-\frac{25\times x}{100}=412.50\\\\ \frac{75 x}{100}=412.50\\\\x=\frac{41250}{75}\\\\x=550$

Price at store of that Product = $ 550

3 0

2 years ago

Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his

Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = $780 emails$

Average work emails received monthly $= 760 emails$

We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

$depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails$

The new number of mails

$= initial number of mail- depreciation\\ =780-78= 702 emails$

Joe will be receiving an average of 702 emails in his personal account monthly

7 0

2 years ago