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3 years ago

What is the simplest form of 7/10 + 1/5

2 answers:

7 0

Solutions

1) Find the least common denominator of 7/10 and 1/5.
10: 10
5 : 5 , 10
The least common denominator is 10.

2) Make the denominator of 1/5 to 10. Multiply numerator and denominator by 2.

1 x 2 = 2
5 x 2 = 10

3) New fraction
7/10 + 2/10

4) Add
7+2 = 9

9/10 is answer

9/10 can not be simplified. It is already in reduced form.

svet-max [94.6K]3 years ago

3 0

1/5=2/10
7/10+2/10=9/10
9/10 can not be simplified so it is you're final answer!!

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Please please help me out

deff fn [24]

Answer:

x = 60°

Step-by-step explanation:

The measure of x is one- half the difference of the measures of the intercepted arcs.

The minor arc = 120°, hence

The major arc = 360° - 120° - 240°, so

x = 0.5(240 - 120) = 0.5 × 120° = 60°

4 0

3 years ago

Area of a Triangle

jek_recluse [69]

Answer:

3.51 (round to the nearest hundreds)

Step-by-step explanation:

PART A

slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5

equation of the line passing through B and perpendicular to AC:

y-3 = 1/5(x-3)

y-3 = 1/5x -3/5

y = 1/5 x - 3/5 + 3

y = 1/5 x + (-3+15)/5

y = 1/5 x + 12/5

PART B

line that passes through the points A and C

y-1 = -5(x-2)

y = -5x+10 + 1

y = -5x + 11

Interception of the lines

y = 1/5x + 12/5

y = -5x + 11

-5x + 11 = 1/5x + 12/5

-25x +55 = x + 12

26x = 43

x = 43/26

y = -5(43/26) + 11

y= -215/26 + 11

y = (-215+286)/26 = 71/26

D (1.65, 2.73)

PART C

AC = $\sqrt{(1-2)^2 + (6-1)^2} = \sqrt{1 + 25} = \sqrt{26}$ = 5,09902

BD = $\sqrt{(3-1.65)^2 + (3-2.73)^2}$ = 1,376735

PART D

AREA = (5,09902 * 1.376735)/2 = 3,509999

8 0

3 years ago

Find the equation of the line using the point-slope formula. Write all the final equations

vivado [14]

Answer:

$y=\frac{1}{2}x+\frac{5}{2}$

Step-by-step explanation:

We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.

Also you could just use $\frac{y_2-y_1}{x_2-x_1}$ . It is the same thing.

( 5 , 5)

-( 1 , 3)

--------------

4 2

So the slope is 2/4 or 1/2 after reducing.

The point-slope form a line is

$y-y_1=m(x-x_1)$ with a point on the line $(x_1,y_1)=(1,3)$ given and with slope $m=\frac{1}{2}$ given.

$y-3=\frac{1}{2}(x-1)$

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form. It is called that because it tells us the slope,m, and the y-intercept,b.

Distribute:

$y-3=\frac{1}{2}x-\frac{1}{2}$