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Aleksandr-060686 [28]
3 years ago
7

Need help with number 2 and 3

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

2. SSS ( Side-Side-Side)

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Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2
Nikolay [14]

Answer:

x = \frac{3}{2}orx=-\frac{3}{2}

Step-by-step explanation:

The given Equation is

3x^{2} + 2 = 11-x^{2}   .................(i)

Adding ( x^{2} -11 ) on both sides of  (i)

3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11

solving and cancelling out the terms will give

⇒ 4x^{2} -9=0  

⇒ (2x)^{2} -(3)^{2} = 0     ...................(ii)

Now we Know that

(a)^{2} -(b)^{2} = (a-b)(a+b)  

Applying this on equation (ii)

(2x-3)(2x+3)=0

This will lead us to

Either 2x-3 =0    .......(iii)        or     2x+3=0   ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

x=\frac{3}{2}

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

x=\frac{-3}{2}

so x=\frac{3}{2} and x=\frac{-3}{2}

7 0
3 years ago
What is the measure of env (5x+57)degrees
SashulF [63]

Answer:

D) 132°

Step-by-step explanation:

8x+12=5x+57    subtract 5x from both sides

3x+12=57           subtract 12 from both sides

3x= 45                divide by 3 from both sides

X=15

5(15)+57=132°

6 0
4 years ago
Tyler baked 702 cookies. He sold them in boxes of 18. After selling all of the boxes of cookies for the
user100 [1]

Answer:

3.50

Step-by-step explanation:

if you divide 18 by 702 you will get 39 and 136.50 divided by 39 is 3.50. and to make sure this is right you can multiply 3.50 by 39 and you will get 136.50

3 0
4 years ago
Read 2 more answers
Help, I’m struggling. <br> Find the values of the variables that result in congruent triangles.
Novay_Z [31]

Answer:

x=7 and y=37

Step-by-step explanation:

the ans of the given triangles are given .

5 0
4 years ago
¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?
Brrunno [24]

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

5 0
3 years ago
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