Please help me solve this !!!!

Answers

Answer 1

Answer:

Answer:

$\boxed{option \: c. \: is \: correct}$

Step-by-step explanation:

$well.....the \: sides \: of \: this \: type \: of \: triangle \to \n (equallatral )\: are \: all \: equall \to \n \boxed{ \: hence \: option \: c. \: is \: correct}$

Answer 2

Answer:

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The triangle is Equilateral thus the sides are same and equal.

So ;

$5x = 3x + 10$

$5x = 6x - 5$

$3x + 10 = 6x - 5$

We just need to solve one the above equations and the value of x.

Then put in all three equations to find the sides .

Let's do it....

$5x = 3x + 10$

Subtract sides 3x

$- 3x + 5x = - 3x + 3x + 10$

Simplification

$2x = 10$

Divide sides by 2

$(2)/(2) x = (10)/(2) \n$

Simplification

$x = 5$

_________________________________

It's time to find the sides :

$RS = 6(5) - 5$

$RS = 30 - 5$

$RS = 25$

##############################

$SQ = 3(5) + 10$

$SQ = 15 + 10$

$SQ = 25$

##############################

$RQ = 5(5)$

$RQ = 25$

##############################

Actually we knew that the sides of any Equilateral triangle are same.

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Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

Answers

First find the equation of y.

$y=mx+n=(\Delta y)/(\Delta x)x+n$

Find the slope m.

$m=(5-9)/(-1-3)=(-4)/(-4)=1$ .

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

$9=1(-3)+n\implies n=12$ .

The equation of a line y is:

$y=x+12$ .

The perpendicular line $y_(\perp)$ is same like the normal line except its slope m becomes:

$k=-(1)/(m)=-1$ .

The equation of a perpendicular bisector is thus:

$y_(\perp)=-x+12$ .

Hope this helps.

Answer:

$y = (1)/(2) x + 3$

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

= (5 - 9) / (-1 - (-3))

= -4 / 2

= -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

$y = (1)/(2) x + 3$

Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?

Answers

.08 x 150 = 12, He paid $12 sales tax :)

8. ×150$=8×150=1200
-- ------- ------ 100. 100. 100
=12$
150$-12$
=138$

90 is decreased to 81

Answers

Answer:

17.1%

Step-by-step explanation:

17.1%

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress

Answers

The variable x represents the number of months he runs.

Answer:

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What is the next term in this geometric sequence
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Answers

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the next term in this geometric sequence is 40/243.

how do I figure out the weight loss of tina? she lost 3 pounds on the first week of her diet. she gained a pound on the second week, and then lost 2 pounds a week during every week afterwards. she has been dieting for a total of 13 weeks. how many pounds has tina lost in all?

Answers

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