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Sphinxa [80]
3 years ago
5

PLEASE HELP Indicate the method you would use to prove the two 's . If no method applies, enter "none". SSS

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
5 0

Answer: 1) ASA

2) none

3) ASA

Step-by-step explanation:

In the first picture we have two angles and one included side of one triangle is congruent to corresponding two angles and one included side of another triangle, therefore by<em> ASA postulate of congruence</em> both triangles are congruent.

In the second picture , the two have two equal angles, the third angle of both triangles by using angle sum property =180^{\circ}-70^{\circ}-30^{\circ}=80^{\circ},

Now, two corresponding angles and one included side (10 units) of both triangles are congruent  therefore by <em>ASA postulate of congruence </em>both triangles are congruent.

In the third picture, we have two triangle with one same vertex, then their vertical angles must be congruent.

Thus, in third picture, two angles and one included side of one triangle is congruent to corresponding two angles and one included side of another triangle, therefore by <em>ASA postulate of congruence </em>both triangles are congruent.

Nookie1986 [14]3 years ago
3 0

Answer:

Did you find the answer? I'm working on this now I need help.

Step-by-step explanation:

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What is the equation of a line that is parallel to the line y = 2x+1 and passes
kondor19780726 [428]

Answer: It should be y=2x-2

Step-by-step explanation:

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Randomly selected students participated in an experiment to test their ability to determine when one minute​ (or sixty​ seconds)
zalisa [80]

Answer: (57.41,\ 62.19)

Step-by-step explanation:

Given : Sample size : n=40

Sample mean : \overline{x}=59.8\text{ seconds}

Standard deviation : \sigma =9.2\text{ seconds}

Significance level : \alpha=1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)

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6 0
3 years ago
30 points to whoever answers first!
WITCHER [35]

Answer:

141

Step-by-step explanation:

8 0
4 years ago
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Find the values of x, y, and λ that satisfy the system of equations. Such systems arise in certain problems of calculus, and λ i
Nimfa-mama [501]

Answer:

x=4, y=4, λ=-16

Step-by-step explanation:

We have this 3x3 system of linear equations:

4x+λ=0

4y+λ=0

x+y=8

So, let's rewrite the system in its augmented matrix form

\left[\begin{array}{cccc}4&0&1&0\\0&4&1&0\\1&1&0&8\end{array}\right]

Let´s apply row reduction process to  its associated augmented matrix:

Swap R1 and R3

\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\4&0&1&0\end{array}\right]

R3-4R1

\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&-4&1&-32\end{array}\right]

R3+R2

\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&0&2&-32\end{array}\right]

Now we have a simplified system:

x+y+0=0

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0+0+2λ=-32

Solving for λ, x, and y

λ=-16

x=4

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3 0
3 years ago
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