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yuradex [85]
3 years ago
9

For what values of x and y are the triangles congruent?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
The triangles, or any pair of polygon, are congruent if and only if the corresponding sides have the same lengths and the corresponding angles have the same measures.

From the given choices above, it can be seen that only the choice in A will give us this relationship. Thus, the answer is A. 
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Help needed ASAP will give BRAINLIEST and 5 stars rate
Reil [10]
The answer is 7/5. I attached the work below.

4 0
3 years ago
PLEASE HELP ME SOLVE THIS<br><br> THANK U!!
V125BC [204]
Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.

Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1. 

Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set. 

5 0
3 years ago
Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
Inessa05 [86]

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

∵ (x + 2) (x + 3) = 12

∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

∴ (x + 6)(x - 1) = 0

- <em>Lets use the zero product property </em>

∵ (x + 6)(x - 1) = 0

∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0

∵ x + 6 = 0

- Subtract 6 from both sides

∴ x = -6

∵ x - 1 = 0

- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

6 0
3 years ago
Read 2 more answers
Cassie has $20,000 in a savings account. The interest rate is 4% per year and is not compounded. How much interest will she lear
Mariulka [41]

Answer:

$24,000

Step-by-step explanation:

4 0
3 years ago
May you please help me with number 12 a. and b. and show work. thank you
notka56 [123]
(a)7x4=28
2x2=4
28-4=24
24-1=23 points
(b)20/4=7 correct answers
6 0
3 years ago
Read 2 more answers
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