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Yakvenalex [24]

3 years ago

8

Select one of the triangle theorems and write a proof for it.

2 answers:

Sauron [17]3 years ago

7 0

Answer:

Look at the attached picture

Step-by-step explanation:

Yes, they are congruent by the SAS Theorem

From the figure, we see that there are two congruent pairs of corresponding sides, AC¯¯¯¯¯¯¯¯≅DF¯¯¯¯¯¯¯¯,BC¯¯¯¯¯¯¯¯≅EF¯¯¯¯¯¯¯¯, and one congruent pair of corresponding angles, ∠C≅∠F. The Side-Angle-Side Theorem (SAS) states that if two sides and the angle between those two sides of a triangle are equal to two sides and the angle between those sides of another triangle, then these two triangles are congruent.

Gennadij [26K]3 years ago

4 0

When triangles are congruent, one triangle can be moved (through one, or more, rigid motions) to coincide with the other triangle.

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Anvisha [2.4K]

Using the two given solutions and the general absolute value function we will get:

|x + 9| = 27

<h3>Which absolute value function has that solution set?</h3>

The two solutions are:

x = 0 and x = -18.

Remember that the absolute value equation is something like:

|x - a| = b

If we want to have these solutions, then:

|0 - a| = b

|-18 -a| = b

From the first one, we have:

|-a| = b

Replacing that on the second equation we get:

|-18 -a| = |-a|

Notice that if we take a = -9, then we have:

|-18 + 9| = |+9|

|-9| = |+9|

This is true, so a = -9.

Then we find the value of b:

|18 + 9| = b = 27

Then the absolute value equation is:

|x + 9| = 27

If you want to learn more about absolute value equations, you can read.

brainly.com/question/3381225

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2 years ago

The velocity of a skydiver t seconds after jumping is given by V(t)= 80(1-e^-.2t). After how many seconds is the velocity 120 ft

Ad libitum [116K]

Answer:

∞

Step-by-step explanation:

The equation describes a velocity curve that has an asymptote of 80 ft/s. The skydiver will <em>never</em> have a velocity of 120 ft/s.

6 0

3 years ago

Simplify the expression.<br> (x 3/2)6

Sliva [168]

For this case we must simplify the following expression:

$(x ^ {\frac {3} {2}}) ^ 6$

We have that by definition of properties of powers that is fulfilled:

$(a ^ n) ^ m = a ^ {n * m}$

Then, rewriting the expression:

$x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9$

Answer:

$(x^{\frac{3}{2}})^6=x^9$

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3 years ago

You need to Find the angle x

FinnZ [79.3K]

Answer:

its 62 degrees

Step-by-step explanation:

the triangle is a isolosies triangle

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2 years ago

What's the reciprocal of 6⁄5

Alik [6]

Answer:

5/6

Step-by-step explanation:

the reciprocal of any fraction is the fraction flipped

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3 years ago

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