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3 years ago

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.

Mathematics

2 answers:

lora16 [44]3 years ago

8 0

The red lines mean the sides with the lines are the same. The red arc means those angles are the same.

Using that information you know the angle where the two same sides connect would also be the same.

So you have one side (S) and 2 angles (A) that are identical.

You can use B. ASA

Bond [772]3 years ago

5 0

Answer:

I think it is B.

Step-by-step explanation:

Hope this helped have an amazing day!

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Which function is graphed below?<br> EASY POINTS!

Harlamova29_29 [7]

The correct answer is not listed

7 0

3 years ago

One rabbit saw six elephants while going to the river. Every elephant saw 2 monkeys going towards the river. Every monkey holds

rodikova [14]

5 animals are going towards the river .

<u>Step-by-step explanation:</u>

Here we have , One rabbit saw six elephants while going to the river. Every elephant saw 2 monkeys going towards the river. Every monkey holds one parrot in their hand.We need to find How many animals are going towards the river . Let's find out:

1 rabbit saw 6 elephants while going to the river. i.e. rabbit is only going towards river !

Every elephant saw 2 monkeys going towards the river. From the sentence , each of the 6 elephants saw 2 monkeys going towards the river, hence will be 6 x 2 = 12 monkeys going towards the river.

But, the statement does not explicitly say that “Every elephant saw 2 DIFFERENT monkeys…”, therefore implicit rules apply and infer that the 2 monkeys are the same. So , every elephant saw 2 monkeys!

Now , every monkey holds 1 parrot in their hands. 2 parrots are going towards the river.

So , total number of animals is :

⇒ $1+2+2$

⇒ $5$

Therefore , 5 animals are going towards the river .

6 0

3 years ago

Please solve the problem below

mr Goodwill [35]

You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf

5 0

3 years ago

Write an equation for a circle with a diameter that has endpoints at (–4, –7) and (–2, –5). Round to the nearest tenth if necess

Zinaida [17]

since we know the endpoints of the circle, we know then that distance from one to another is really the diameter, and half of that is its radius.

we can also find the midpoint of those two endpoints and we'll be landing right on the center of the circle.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[-2-(-4)]^2+[-5-(-7)]^2}\implies d=\sqrt{(-2+4)^2+(-5+7)^2} \\\\\\ d=\sqrt{2^2+2^2}\implies d=\sqrt{2\cdot 2^2}\implies d=2\sqrt{2}~\hfill \stackrel{~\hfill radius}{\cfrac{2\sqrt{2}}{2}\implies\boxed{ \sqrt{2}}} \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-2-4}{2}~~,~~\cfrac{-5-7}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{-12}{2} \right)\implies \stackrel{center}{\boxed{(-3,-6)}} \\\\[-0.35em] ~\dotfill$

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{\sqrt{2}}{ r} \\[2em] [x-(-3)]^2+[y-(-6)]^2=(\sqrt{2})^2\implies (x+3)^2+(y+6)^2=2$

4 0

3 years ago

Read 2 more answers

In right triangle ABC, B is the right triangle and m C = 30. If AC = 10 what is AB?

nekit [7.7K]

Using the law of sins:

Sin(angle) = Opposite Leg / Hypotenuse

Sin(30) = AB /10

Solve for AB:

AB = 10 * sin(30)

AB = 10 * 1/2

AB = 5

The answer is A.

4 0

3 years ago