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2 years ago

You have this information about ΔABC, ΔDEF, and ΔGHI:

2 answers:

8 0

<span>ΔABC, ΔDEF, and ΔGHI
</span>
I think all triangles are congruent. 2 sides and 1 angle of each triangle is has the same measure. Making these triangles congruent in SAS theorem.

zavuch27 [327]2 years ago

8 0

Answer: ΔABC, ΔDEF, and ΔGHI

Step-by-step explanation:

Given: In ΔABC, ΔDEF, and ΔGHI:

AB = DF AB = GI

BC = HI DE = HI

m∠B = m∠D = m∠I

In ΔABC and ΔGHI

AB = GI [given]

BC = HI [given]

m∠B = m∠I [given]

[ here m∠B and m∠I are the included angle of ΔABC and ΔGHI]

∴ ΔABC ≅ ΔGHI [by SAS congruence postulate]

In ΔABC and ΔDEF

AB = DF [given]

BC = DE [ Since BC = HI and DE = HI so by transitive property BC = DE]

m∠B = m∠D [given]

[ here m∠B and m∠D are the included angle of ΔABC and ΔDEF]

∴ ΔABC ≅ ΔDEF [by SAS congruence postulate]

Now, since ΔABC ≅ ΔGHI and ΔABC ≅ ΔDEF

⇒ ΔGHI ≅ ΔDEF [transitive property]

Hence, all the given triangles ΔABC, ΔDEF, and ΔGHI are con gruent to each other.

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If h(x) = 5 x and k(x)=1/x, which expression is equivalent to (koh)(x)?

Lyrx [107]

May be there is an operator missing in the first function, h(x). I will solve this in two ways, 1) as if the h(x) = 5x and 2) as if h(x) = 5 + x

1) If h(x) = 5x and k(x) = 1/x

Then (k o h) (x) = k ( h(x) ) = k(5x) = 1/(5x)

2) If h(x) = 5 + x and k (x) = 1/x

Then (k o h)(x) =k ( h(x) ) = k (5+x) = 1 / [5 + x]

4 0

2 years ago

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What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.

miskamm [114]

Keep in mind its been a while since i did this type of work lol.....

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but your best answer might be 14 units x 4 units

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2 years ago

At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25

denpristay [2]

Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .

<u>Step-by-step explanation:</u>

Step 1: Sketch the curve.

The probability that 2.5<X<3.5 is equal to the blue area under the curve.

Step 2:

Since μ=3 and σ=0.25 we have:

P ( 2.5 < X < 3.5 ) =P ( 2.5−3 < X−μ < 3.5−3 )

⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)

Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:

P ( 2.5<X<3.5 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Percent of red lights last between 2.5 and 3.5 minutes is $0.9544(100) = 95.44$ % .

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2 years ago

The following histogram summarizes the number of points Nate has scored each game this season.

Tatiana [17]

Answer:D

Step-by-step explanation:

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2 years ago

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Aarti bought a square shaped table cloth for her home the side of the table cloth measures 2 1/3m what is the area of the table

PSYCHO15rus [73]

Answer:

Area of table cloth = 49/9 m² or 5.44 m²

Step-by-step explanation:

Given:

Side of table cloth = $2\frac{1}{3}m$ = 7/3 m

Shape of cloth is square

Find:

Area of table cloth

Computation:

Area of square = side²

So,

Area of table cloth = side²

Area of table cloth = (7/3)²

Area of table cloth = 49/9 m² or 5.44 m²

3 0

1 year ago