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2 years ago

What is the 7 term in the sequence below? 3, 12, 48, 192, ...

Mathematics

2 answers:

avanturin [10]2 years ago

7 0

Answer:

12288

Step-by-step explanation:

its a geometric sequence where each term is 4 x the term before it

so the 7th term = 3 *4^6 = 12288

ser-zykov [4K]2 years ago

5 0

the answer is 12,288

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Consecutive angles in a parallelogram are supplementary. What is the value of x?

Naddika [18.5K]

Step-by-step explanation:

HERE,

$\angle{PQR=20+2x }$ ⠀

$\angle{ QRS=6x }$ ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

$\angle{PQR}+\angle{QRS}=180$ ⠀

$\tt{20+2x+6x=180 }$ ⠀

$\tt{8x+20=180 }$ ⠀

$\tt{8x=180-20 }$ ⠀

$\tt{8x=160 }$ ⠀

$\tt{x=\dfrac{160}{20} }$ ⠀

$\tt{ x=20 }$ ⠀

8 0

2 years ago

Any of these please I’m having difficulty

frosja888 [35]

Answer:

864 squared meters

Step-by-step explanation:

Set up a proportion. The scale between 270 and 360 should be the same as 648 to the fourth yard.

$\frac{270}{360} = \frac{648}{x}\\270x = (360)(648)\\270x = 233280\\x = 864 m^2$

7 0

2 years ago

Wich expression can be used to find the slope of a line containing the points (-3,2) and (7,-1)

docker41 [41]

$A(x_1;\ y_1);\ B(x_2;\ y_2)\\\\\text{The slope:}\ m=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{We have:}\\(-3;\ 2)\to\ x_1=-3;\ y_1=2\\(7;\ -1)\to x_2=7;\ y_2=-1$

$\text{substitute}\\\\m=\dfrac{-1-2}{7-(-3)}=\dfrac{-3}{10}=-\dfrac{3}{10}$

6 0

3 years ago

Find all values of x that make the triangles congruent. Explain your reasoning.

RSB [31]

Answer:

x = $\frac{4}{5},5$

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

$\frac{AB}{BD}=\frac{AC}{CD}$

$\frac{5x}{3x+10}=\frac{5x-2}{4x+3}$

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

5x(x - 5) - 4(x - 5) = 0

(5x - 4)(x - 5) = 0

$x=\frac{4}{5},5$

3 0

2 years ago

Translate this sentence into an equation.

ElenaW [278]

Answer:

The product of Victor's age and 7 is 84 in equation form is 7v=84

Step-by-step explanation:

Let v be the Victor's age.

We are supposed to Translate this sentence into an equation

The product of Victor's age and 7 is 84

Victor's age = v

Product of victor's age and 7 = $7 \times v$

We are given that their product is 84

So, $7 \times v =84$

Hence The product of Victor's age and 7 is 84 in equation form is 7v=84

7 0

2 years ago