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m_a_m_a [10]
3 years ago
15

Which theorem or postulate proves the two triangles are similar

Mathematics
2 answers:
Tasya [4]3 years ago
8 0
SSS - Theorem 

All the sides to you in the problem are given to you and no angles. 
The sides also proportioned out to each other by 1/2. 
In other words, the triangle on the right is 1/2 smaller than the one on the left 
Alina [70]3 years ago
5 0
Because all 3 sides are given for both triangles you can use the SSS theorem
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Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all
Evgesh-ka [11]

Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of points A and B into the formula and simplify:

m = \frac{(-10)-(5)}{(-5)-(0)} \\m  = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation y = mx + b, write the equation of the line. Remember that the number in place of m, or the coefficient of the x-term, is the slope. So, substitute 3 for m. Also, remember that b represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

y = 3x + 5

7 0
3 years ago
If a cookie weighs
m_a_m_a [10]
1 cookie = 3/4 of an ounce

16 cookies = ?

3/4 x 16 = 12

16 cookies = 12 ounces

24 packages = ?

12 x 24 = 288

24 packages = 288 ounces of cookies.

So, your final answer is 288 ounces.

I hope this helps! Good luck!
5 0
3 years ago
Read 2 more answers
Devin made some mistakes. Identify where he made each mistake:
mihalych1998 [28]
When doing the order of operations and you are put in a situation where you do two different operations, solve the problem from left to right.
In this case instead of doing 6*4 first do 24/6 first.

4 0
2 years ago
Find the area of the shaded region
kodGreya [7K]

Answer:  21.994 cm²

Step-by-step explanation:

Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.

Formula for finding area of a circle       =  πr² where π is a constants . It has value of         22/7 or 3.142

Now area of the bigger circle                = 3.142 x 3²

                                                                  = 3.142 x 9

                                                                  = 28.278 cm²                                       Now are of the two smaller triangle        = 3.142 x 1² x 2

                                                                   = 6.284 cm².

Therefore are of the shaded region        = 28.278 - 6.284

                                                                   = 21.994 cm²

7 0
3 years ago
The function f(x)=3x^3+x^2+2x rises as x grows very large.<br><br> A. True<br> B. False
Alja [10]
True I’m pretty sure
4 0
3 years ago
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