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3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

6 0

Answer:

The answer is SAS.

Side Angle Side

Elena L [17]3 years ago

5 0

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

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Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30

GarryVolchara [31]

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

$0.55x$ .

The total number of members not wearing glasses, will be

$x - 0.55 x = 0.45 x$ .

Now, the no. of members not wearing glasses and in 10th grade will be,

$\frac{0.45x\times30}{100} =0.135x$

We know that the probability of an event E, P(E) will be,

$P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}$

So, the probability for no. of members not wearing glasses and in 10th grade will be,

$P(E)=\dfrac{0.135x}{x}$

$P(E)=0.135\\\\P(E)=13.5 \%$

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

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3 years ago

Find the domain of the funtion 4/x-7

dedylja [7]

Domain means which values the function can have which make it true or Possible to solve

So all you got to do is set the denominator = to 0 and solve for x
You will get x=7

4/(7-7) is not possible

So x cannot equal to 7 because you cant divide a number by 0!

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3 years ago

B) Explain how to compute 2 divide 1/4 with a common denominator.

Alex Ar [27]

Answer:

Step-by-step explanation:

2 divide 1/4 = $\frac{2}{1} : \frac{1}{4}$

What we have to do here is find a common denominator for both fractions, in this case 4, and change to equivalent fractions with a denominator of 4.

$\frac{8}{4} : \frac{1}{4}$

Then we divide across. The denominator of the answer will be 1 because the denominators are the same. Divide the numerators and get 8 ÷ 1, wich is just 8.

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Studentka2010 [4]

Answer:

134/15 or

8 14/15

Step-by-step explanation:

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3 years ago

A scuba diver uses negative numbers to represent her depths below sea level. She was at a depth of -1.5 meters. A few minutes la

Nataliya [291]

Answer:

a). -5.7 meters or 5.7 meters below sea level

b). When we combine the two depths we sum them since they are an increment in the same direction and we sum them from the seal level, our first reference point.

Step-by-step explanation:

a). Final depth=Initial depth+deeper increment=(-1.5)+(-4.2)=-5.7

Initial depth=-1.5 represented by a negative number since she is below sea level, meaning her reference point(point 0) is the sea level. The more she moves below the sea level the deeper she goes and the more her depth becomes negative

Deeper increment=-4.1, she further moves deeper from her initial depth(-1.5) by a value of -4.1. In order to find her final depth, we have to sum all the depths she covered from her first reference point which is the see level.

The expression is;

Final depth=Initial depth+deeper increment=(-1.5)+(-4.2)=-5.7 meters

Her final depth=-5.7 meters

b). When we combine the two depths we sum them since they are an increment in the same direction and we sum them from the seal level, our first reference point.

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