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2 years ago

Explain the difference between proving triangles congruent using the SAS and SSS congruence postulates.

Mathematics

1 answer:

Tju [1.3M]2 years ago

7 0

Answer:

SAS means the share a common side then an angel then another side SSS means all of the sides are equal

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Marisa has 24 quarters to play games at a carnival. She only wants to play Ring Toss and Knock Down the Clown. If each game cost

KATRIN_1 [288]

Answer:

12 different ways

Step-by-step explanation:

1 to 23

2 to 22

3 to 21

4 to 20

5 to 19

6 to 18

7 to 17

8 to 16

9 to 15

10 to 14

11 to 13

12 to 12

4 0

3 years ago

Please need help i need help i need help

xeze [42]

Set each expression from the parentheses equal to 0 separately like so:

Equation 1: x - 4 = 0

Equation 2: -5x + 1 = 0

Now for each equation solve for x!

Equation 1:

x +(- 4 + 4) = 0 + 4

x = 4

Equation 2:

-5x +( 1-1) = 0 - 1

-5x/ -5 = -1 / -5

x = 1/5

Check:

(4 - 4)(-5*4 + 1)

(0) (-20 + 1)

(0) (-19)

0 = 0 -------------------------> correct!

(1/5 - 4)(-5 * 1/5 + 1)

(-19/5)(-1 + 1)

(-19/5)(0)

0 = 0 -------------------------> correct!

smaller x = 1/5

larger x = 4

Hope this helped!

8 0

3 years ago

Read 2 more answers

If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

Let us assume that:

$\rm: \longmapsto u = {x}^{2013}$

Therefore, the equation becomes:

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

Now substitute the value of u. We get:

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

Therefore:

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ Which is our required answer.

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

3 years ago

Five times the sum of a number and three is the same as three times the difference of twice the number and one what is the numbe

cupoosta [38]

Answer:

the number is 105

Step-by-step explanation:

5(x+3) = 3(2x - 1)

5x + 15 = 6x - 3

15 = 1x - 3

(15 + 3)

x = 18

3 0

3 years ago

How do you convert a mixed number 3 3/5 to an improper fraction?

oee [108]

Multiply 3 by the denominator, then add the numerator. Then we keep the original denominator.
So we get:
3 x 5 = 15 + 3 = 18
we get:
18/5

3 0

3 years ago