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tatuchka [14]
3 years ago
12

which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar? A. ASA s

imilarity theorem B. SSS similarity theorem C. SAS similarity theorem D. AA similarity postulate
Mathematics
2 answers:
Damm [24]3 years ago
7 0
A. ASA similarity theorem
B. SSS similarity theorem 
gladu [14]3 years ago
4 0

Answer:

B. SSS similarity theorem

Step-by-step explanation:

The answer is SSS similarity theorem or the side side side theorem (If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.)

So, the postulate or theorem that can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar is SSS similarity theorem.

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What is the volume of the sphere? Round your answer to the nearest tenth.
pentagon [3]

Answer:

2,144.7

Step-by-step explanation:

The formula for the volume of a sphere is V=4pi r^3/3. Lets apply this formula for your sphere. The radius is 8, so lets plug in 8 in our formula. 4pi 8^3/3. Now, lets solve. 4 times pi. What is pi? We usually think of pi as 3.14. 4x3.14 is 12.56. Now, lets do 8^3/3. 8 times 3 is 512, and divided by 3 is 170.67. Alright, now we have 12.56 times 170.67. That is 2144.7 rounded to the nearest tenth.

4 0
3 years ago
Select the two expressions that equivalent to 4 + w + 12w
Korvikt [17]

Answer:

A and C :)

Have an amazing day!!

Please rate and mark brainliest!!

4 0
2 years ago
X y<br>-28 -54<br>-21 - 40<br>-14 -26<br>What is the y-intercept of the line?​
jeka94

Answer:

-15

Step-by-step explanation:

7 0
3 years ago
​Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.
Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

x^{3}+7 x^{2}+12 x=0

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

x^{3}+7 x^{2}+12 x=0

x\left(x^{2}+7 x+12\right)=0   ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

x^{2}+7 x+12=0

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}

<em><u>Therefore, the two roots are:</u></em>

\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}

And,

\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0
3 years ago
6 out of 24 employees at the water slides are temporary employees what percentage of the employees at the water slide are tempor
kykrilka [37]

Answer:

25%

Step-by-step explanation:

The question is:

6 is what percent of 24?

Set up the problem:

6            x

----   =   -----

24        100

600 / 24  =   25%

Check your answer:

25%   +   25%   +    25%    +  25%      =  100%

 6       +     6      +      6       +     6        =   24

3 0
3 years ago
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