All categories

4 years ago

complete the proof. give: EH and GI bisect each other. prove: triangle EFI is congruent to triangle HFG

Mathematics

2 answers:

qaws [65]4 years ago

5 0

<span>A. 4. EFI = HFG 4. Vertical angles
5. EFI = HFG 5. SAS
is this it?</span>

Vanyuwa [196]4 years ago

5 0

Given: Line Segment EH and GI bisect each other at F.

To Prove : Δ EFI ≅ ΔHFG

Proof:

In Δ E F I and ΔH F G

E F = F H→→[Given]

G F = F I →→[Given]

∠ E F I ≅ ∠ G F H→→[Vertically opposite angles]

Δ EFI ≅ ΔHFG→→→[Side Angle Side Congruency criterion]

You might be interested in

HEY YA'LL 30 PTS FOR 1 PROBLEM!<br> Given: m∠EYL=1/3 the measure of arc EHL<br> Find: m∠EYL.

GarryVolchara [31]

Answer:

Step-by-step explanation:

Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.

m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1

The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.

m(arc)EVL + m(arc)EHL = 360

m(arc)EVL = 360 - m(arc)EHL Eq. 2

We are given this:

m<EYL = (1/3)m(arc)EHL Eq. 3

Substitute equations 2 and 3 into equation 1.

(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]

Now we have a single unknown, m(arc)EHL, so we solve for it.

2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]

2m(arc)EHL = 1080 - 6m(arc)EHL

8m(arc)EHL = 1080

m(arc)EHL = 135

Substitute the arc measure just found in Equation 3.

m<EYL = (1/3)m(arc)EHL

m<EYL = (1/3)(135)

m<EYL = 45

5 0

3 years ago

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?

liubo4ka [24]

The quotient of $x^{3}+3x^{2} -4x-12$ divided by $x^{2} +5x+6$ is (x-2_.

Given the polynomial $x^{3}+3x^{2} -4x-12$ and $x^{2} +5x+6$ and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of $x^{3}+3x^{2} -4x-12$ divided by , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

$x^{3}+3x^{2} -4x-12$ = $x^{2} +5x-6$ *(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of $x^{3}+3x^{2} -4x-12$ divided by $x^{2} +5x-6$ is (x-2).

Learnmore about quotient at brainly.com/question/673545

#SPJ4

Question is incomplete as the given expressions are incomplete as they should be like this:

$x^{3}+3x^{2} -4x-12$ and $x^{2} +5x-6$ .

4 0

2 years ago

complete your work on a separate sheet of paper after you answer the question unlock your work to the Box

charle [14.2K]

okay so the first step in finding the answer is to see what the formula is to determine the area of a rectangle.

do you know the formula?

okay so the formula is A = L * W

where the L stands for length

and the W stands for Width

so based on the picture can you determine what the length and width are?

where are you having issues with that?

yes that is correct!

don't second guess yourself

so the length is 2 2/3 and the width is 3/4

now the easiest way to solve this problem is to convert the fractions into decimals

are you allowed to use a calculator?

okay so then lets try to convert these fractions into whole numbers

do you know how to convert fractions into whole numbers?

okay so worries

so do that we would have to Divide the numerator by the denominator, only if the numerator is a multiple of the denominator.

so for the width, is 4 a multiple of 3?

no it is not

so out only method would be to convert it into a decimal

do you know what 3/4 is in decimal form?

it is .75 because if you have 4 quarters which equal .25 then 3 quarters equal 75

now we move onto the length 2 2/3

now we already have 2 as a whole number and we can convert 2/3 into a decimal

so we basically do 3 /2

3 does not go into 2 so we put a decimal so it is 0.

then we see how many times 3 goes into 20

how many times does 3 go into 20?

no it is 6 times, because 3*6 = 18

so now we have 0.6

and we bring down the reminder

so we have 3/20

and we have a repeating decimal so our answer is

2/3 = 0.66666

so if we add the whole number we have 2.6666

so now we can plug that into the equation

A = L * W

A = 0.75 * 2.6666

Are you with me so far?

do you have any questions?

great now we just multiple 2.66 * 0.75

can you do that and tell me what you get?

AWESOME!

Now we can round that to the closest number

what is that?

do you know what 1.995 to the closest whole is?

GREAT!

so your answer is

0.75 * 2.66 = 2

ANY QUESTIONS?

Do you know the formula for the perimeter of a rectangle?

P = 2( L + W)

so from the information that we already have, can you plug in the numbers for me?

close, try again

and this time for it in fromula form

use the formula that I have provided for you

so can you tell me the formula for the perimeter of a rectangle?

great

so P is the value we are looking for and the rest is the formula

can you now try to plug in the numbers into the formula

starting with P =

GREAT!

now don't forget the parentheses

so try one last time

Awesome!

So now according to the laws of PEMDAS what would be our first step into solving this equation?

where did you get 3.41 from?

yes

so 2.66 + 0.75 = 3.41

now we have P = 2 (3.41)

so we now multiple 3.41 * 2

what do you get when you do that?

great job!

so now we know P = 6.82

and those are your two answers

A = 2

P = 6.82

do you have any questions?

7 0

1 year ago

James earned $39,600 last year. He paid $11,250 towards rent and $1,422 in car payments. What percent of his earnings did Jon pa

tester [92]

Step 1:
Add rent & car payments

=11,250+1422
=$12,672

Step 2:
to determine %, set up a proportion
12,672 is to his total of 39,600 as x is to 100

12,672/39,600 = x/100
cross multiply
(12,672)(100) = (39,600)(x)
1,267,200= 39,600x
divide both sides by 39,600
32%= x

OR

Alternative Step 2:
12,672 ÷ 39,600= 0.32
Alternative Step 3:
0.32 x 100 = 32%
or move decimal to the right 2 places

His rent and car payments are 32% of his earnings.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

If a box of clothes weighing 10 lbs (4.5 kg) and a box of books weighing 10 lbs (4.5 kg) were placed on a scale, what is most li

sveta [45]

The scale will read 8 kgs

7 0

4 years ago

Read 2 more answers