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2 years ago

What does SAS stand for? what does it have to do with similar triangles?

1 answer:

3 0

Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side

Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.

The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.

However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)

You might be interested in

Rewriting expressions using algebraic properties doesn't change the value of the expression or the relationship it describes.

kiruha [24]

Answer:

see attached

Step-by-step explanation:

No doubt you have examples showing the wording that is expected to be used here. We have made a guess.

power of a ratio: the numerator is raised to the power, as is the denominator. (a/b)^c = (a^c)/(b^c)

power of a product: each factor is raised to the power. (ab)^c = (a^c)(b^c)

power of a power: the powers are multiplied. (a^b)^c = a^(bc)

quotient of powers: the result when one power is divided by another is the difference of the numerator and denominator powers. (a^b)/(a^c) = a^(b-c)

_____

<em>Additional comment</em>

The order of operations tells you to simplify inside parentheses first. Doing that reduces the work somewhat.

$\left(\dfrac{-3x^3y}{x^2}\right)^4=(-3xy)^4=(-3)^4x^4y^4=81x^4y^4$

6 0

3 years ago

4percent of what is 56

sdas [7]

1400 is the answer jsut mutliply 56 by 25

6 0

3 years ago

Read 2 more answers

A suspension bridge with weight uniformly distributed along its length has twin towers that extend 70 meters above the road surf

goblinko [34]

Answer:

17.5 m

Step-by-step explanation:

The height of a parabola above its vertex is proportional to the square of the distance from the vertex.

<h3>Cable height</h3>

The towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.

(1/2)²×(70 m) = 17.5 m

The height of the cable 300 m from center will be 17.5 meters.

7 0

2 years ago

Giselle has a catering business. There is a proportional

Vanyuwa [196]

Answer:

1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

Substitute the value of the Constant of proportionality and $x=75$ into the equation $y=kx$ and then evaluate (The result is 30 pounds).

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

1) You can observe in the graph shown in the first picture this point:

$(10,4)$

So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

$4=k(10)\\\\k=\frac{4}{10}\\\\k=\frac{2}{5}$

Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:

<u>For 20 people</u>

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

$(20,8)$

<u>For 30 people</u>

Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

$(30,12)$

<u>For 40 people</u>

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

<u>For 50 people</u>

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

$(50,20)$

Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

$y=(\frac{2}{5})(75)=30$

6 0

3 years ago

Write a recursive rule for the sequence.<br><br> 3, 8, 13, 18, 23, ...

adoni [48]

Answer:

Step-by-step explanation:

c.d. d=8-3=5

$a_{n}=a_{n-1}+5$

3 0

3 years ago