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ivolga24 [154]
4 years ago
12

Look at the figure shown below:

Mathematics
1 answer:
kow [346]4 years ago
8 0

Answer:  b) two sides and the included angle are congruent

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

  RS = QS                 SIDES are congruent

∠PSR ≡ ∠PSQ         ANGLES are congruent

 PS = PS                  SIDES are congruent

ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem

Since we know the triangles are congruent, we can state that their parts are congruent:

Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)

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What is the solution to the equation negative (5 minus (a 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5
e-lub [12.9K]

The solution for the given equation is a = -5.

<h3>What is an equation?</h3>
  • An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.

To find the solution to the given equation:

Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.

  • - (5 - (a + 1)) = 9 - (5 - (2a - 3))

Using the principle of PEMDAS, all the parenthesis values are first solved.

  • - (5 - a - 1) = 9 - (5 - 2a + 3)
  • -5 + a + 1 = 9 - 5 + 2a - 3

Collect like terms:

  • -5 + 1 - 9 + 5 + 3 = 2a - a
  • -5 = a

That is a = -5.

Therefore, the solution for the given equation is a = -5.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

The correct question is given below:
What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5

5 0
2 years ago
How do you divide factorials by lesser factorials again?
meriva

Answer:

(answer in explanation)

Step-by-step explanation:

so, whenever you divide factorials, as soon as you get it to be the same ! on the top and bottom of the fraction, they cancel out like any other fraction would.

So, lets say you're dividing 55! / 50!

55! can also be thought of as 55 x 54 x 53 x 52 x 51 x 50!

\frac{55*54*53*52*51*50!}{50!} = 55 * 54 * 53 * 52 * 51

Then you can simply solve the remaining equation

( 55 * 54 * 53 * 52 * 51 = 417,451,320)

hope this helps!!

8 0
2 years ago
Read 2 more answers
How to solve 2-step equations
damaskus [11]

Answer/Step-by-step explanation:

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.

6 0
3 years ago
Emma is 14 years younger than twice fred age. Emma is 34. How old is fred
kipiarov [429]

Answer:

24 years old

Step-by-step explanation:

34+14=48

48/2=24

Hope this helps =]

6 0
3 years ago
Read 2 more answers
Consider the parent graph f(x) = x2 . Then, g(x) is a translation according the rule: y = (x + 3)2 + 4. Find the graph g(x).
krok68 [10]
For this case we have the following parent function:
 f (x) = x ^ 2
 We apply the following function transformation:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 y = (x + 3) ^ 2
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 y = (x + 3) ^ 2 + 4
 Answer:
 
The graph g (x) is the graph f (x) 3 units to the left and 4 units up:
 
y = (x + 3) ^ 2 + 4
3 0
3 years ago
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