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stellarik [79]
3 years ago
7

Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-

splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Mathematics
2 answers:
expeople1 [14]3 years ago
5 0

Answer:

It is C

Step-by-step explanation:

Took it on Edg

goldenfox [79]3 years ago
3 0

Answer:

GJ

Step-by-step explanation:

The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.

In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:

\frac{GH}{HE} = \frac{GJ}{JF}

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Find the value of x in each case:
gayaneshka [121]

Answer:

45°

Step-by-step explanation:

The sum of a triangle's angles is 180°.

Let's take the triangle FIG and try to express its angles in function of x.

● < F :

< F +3x = 180 => <F = 180 -3x

● < G :

IK and GH are paralell. IG is crossing them.

x and G are interior alternate angles so they have the same size.

< G = x

● < I :

We khow that < F = 180 -3x and < G = x

< I = 180-(< F + < G )

< I = 180 - ( 180-3x +x)

< I = 180 -(180-2x)

< I = 180 -180 +2x

< I = 2x

■■■■■■■■■■■■■■■■■■■■■■■

< F = 180 -3x

< G = x

< I = 2x

< I + > I + x + 2x = 360

2x + 180-x +3x = 360

4x + 180 = 360

4x = 180

x = 45°

●●●●●●●●●●●●●●●●●●●●●●●

Let's verify :

< F = 180 - 3*45 = 45 °

<G = x = 45°

< I = 2x = 90°

90° +45°+45° = 180°

So it's true.

4 0
3 years ago
Select three ratios that are equivalent to 8:5.
zalisa [80]

Answer:

A,D,E IS THE RATIOS EUQIVALENT TO8:5

3 0
3 years ago
Read 2 more answers
Joan had 259 dollars to spend on 8 books. after buying them she had 11 dollars. how much did each book cost?
motikmotik
All 8 books cost $31
5 0
4 years ago
Let 3x^2+kx+4. determine all values of k such that the quadratic equation f(x) =0 has one real root
user100 [1]
//I'll use the discriminant rule for this.
b^2 - 4ac = 0 when one real root

Therefore, k^2 - 4*3*4= 0
k^2 = 48
k= +-4√3
7 0
4 years ago
. Find the value of $1,300 invested at 4.2% interest compounded continuously for 5 years, 9 months. Round your final answer to t
BARSIC [14]
The formula we use for continuous compounding is A=Pe ^{rt} where P is the initial amount invested, r is the rate as a decimal, and t is time in years.  Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75).  Putting all that into our formula we have A=1300(2.718) ^{(.042)(5.75)}.  We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300.  Doing all of that, we get the amount at the end to be $1,655.10
5 0
3 years ago
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