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lorasvet [3.4K]
3 years ago
10

What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent. I

f two triangles are congruent, then their corresponding angles are congruent. If the corresponding angles of two triangles are congruent, then the triangles are congruent. If two triangles are not congruent, then their corresponding angles are not congruent. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Mathematics
2 answers:
Vlad [161]3 years ago
7 0

Answer:

The two triangles may be congruent, but additional information is needed about the third angle in each triangle

Tanzania [10]3 years ago
5 0

Answer:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent.

Inverse of a statement means its opposite or negating both the hypothesis and conclusion of a conditional statement.  

So, the inverse of the given statement will be :

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

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Chapter 1 Math Review----the test will look very similar to these questions. Make sure
Bezzdna [24]

Answer:

a. is 5

c. is 3

e. is 6

b. is 1

d. is 4

f. is 2

Step-by-step explanation:

8 0
3 years ago
Which variable expression represents the phrase “the quotient of 5 times a number and 2”?
bezimeni [28]

Answer:

5x/2

Step-by-step explanation:

Say the mystery number is "x"

5 times that = 5 * x = 5x

Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2

3 0
2 years ago
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
padilas [110]

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

<em>Hope that helped :)</em>

8 0
3 years ago
For which value of b can the expression x2 + bx + 18 be factored?
Dmitry_Shevchenko [17]

Answers:

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

====================================================

Explanation:

Here are all the ways to multiply to 18 when using integers only:

  • -1*(-18) = 18
  • -2*(-9) = 18
  • -3*(-6) = 18
  • 1*18 = 18
  • 2*9 = 18
  • 3*6 = 18

Sum each pair of factors to find out a possible value of b.

  • -1 + (-18) = -19
  • -2 + (-9) = -11
  • -3 + (-6) = -9
  • 1 + 18 = 19
  • 2 + 9 = 11
  • 3 + 6 = 9

Therefore, the possible values of b are

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

which are the final answers.

----------------------

An example:

Let's say b = 11. This would mean x^2+bx+18 becomes x^2+11x+18

It would factor to (x+2)(x+9) since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that x^2+11x+18 = (x+2)(x+9) is a true equation for all real numbers x.

This same idea applies for the other values of b.

----------------------

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get (x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq

The middle term (p+q)x has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0
2 years ago
What is 8% of 1125?
11111nata11111 [884]

Answer:

90

Step-by-step explanation:

1125/100=11.25

11.25x8=90

8 0
2 years ago
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