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3 years ago

Which congruence theorems can be used to prove △EFG ≅ △JHG? Check all that apply.

Mathematics

2 answers:

sasho [114]3 years ago

4 0

Answer:

ASA and AAS

Step-by-step explanation:

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

UkoKoshka [18]3 years ago

3 0

Answer: ASA and AAS

Step-by-step explanation:

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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

Let's just go from a1 to a4:

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scZoUnD [109]

Step-by-step explanation:

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3 years ago

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Ivahew [28]

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3 years ago

Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.

Luden [163]

Answer:

5 mph

Step-by-sep explanation:

To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.

Unit rate/speed = distance travelled/time = y/x.

Speed of Driver 1/unit rate:

The graph shows 1.5 miles (y) is travelled in 2 minutes (x).

Convert the 2 minutes to hour, you will have:

$\frac{2}{60} = \frac{1}{30} hr$

Speed in mph = $\frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45$

Speed of Driver 1 in mph = 45 mph

Speed of Driver 2/unit rate:

The table shows 2.5 miles (y) is travelled in 3 minutes (x).

Convert the 3 minutes to hour, you will have:

$\frac{3}{60} = \frac{1}{20} hr$

Speed in mph = $\frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50$

Speed of Driver 2 in mph = 50 mph

Difference between the speed of the two drivers = 50 - 45 = 5 mph

4 0

3 years ago

Please help im so freakin confused haha

Elina [12.6K]

Given data is that circles are identical. According to this diameters are identical too.

Diameter of the first circle is 4x and for the second 2x+3.

We can make equality 4x = 2x+3 => 2x=3 => x=3/2

Circumference of each circle is C= 2r pi = 2*(3/2) pi = 3 pi

The correct is fifth answer.

Good luck!

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3 years ago