State if the two triangles are congruent. If they are, state how you know.

What is a correct equation for the line passing through the point (-2,1) and having slope m=1/2

frez [133]

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We ahve the slope m = 1/2 and the point (-2, 1). Substitute:

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

$y-1=\dfrac{1}{2}(x+2)$ - point-slope form

Covert to the slope-intercept form (y = mx + b):

$y-1=\dfrac{1}{2}(x+2)$ use the distributive property

$y-1=\dfrac{1}{2}x+1$ add 1 to both sides

$y=\dfrac{1}{2}x+2$ - slope-intercept form

Convert to the standard form (Ax + By = C):

$y=\dfrac{1}{2}x+2$ multiply both sides by 2

$2y=x+4$ subtract x from both sides

$-x+2y=4$ change the signs

$x-2y=-4$ - standard form

Convert to the general form (Ax+By+C=0):

$x-2y=-4$ add 4 to both sides

$x-2y+4=0$ - general form

5 0

3 years ago

The first barn contained 3 times more hay than the second one. After 20 tons of hay were removed from the first barn and 20 tons

Vika [28.1K]

The solution would be like this for this specific problem:

a + 20 = 5/7 (3a - 20) 
a + 20 = (15a - 100)/7 
Multiply both side by 7, 
7a + 140 = 15a - 100 
8a = 240
a = 30

3a = 90

a + 20 = 50

3a - 20 = 70

5/7 x 70 = 50

8 0

3 years ago

Read 2 more answers

What is the solution to the equation 3(2x+5)=3x+4x?

lina2011 [118]

Answer:

x=15

Step-by-step explanation:

6x+15=7x

15=x

7 0

3 years ago

How can you use geometry figures to solve real-world problems?

GaryK [48]

OffToNarnia Beginner

 Geomety figures are used most if you are a designer. Whether you're a fashion designer or a construction designer you will use shapes to build your final product.

credits go to him

8 0

3 years ago

Osmin had a gross pay of 624.86 last week. She earns 12.85 per hour plus a 3% commission on all sales. She knows she worked 40hr

vampirchik [111]

Her total sales was $3695.33

Step-by-step explanation:

Osmin had a gross pay of $624.86 last week

She earns $12.85 per hour
She earns 3% commission on all sales
She knows she worked 40 hrs last week

She wants to know what was her total sales

Assume that her total sales is $x

∵ Her gross pay = $624.86

∵ She earns 12.85 per hour plus a 3% commission on all sales

∵ She worked for 40 hrs last week

∵ Her total sales was $x

- Put all of these in an equation represents her gross pay

∵ Her gross pay = her rate per hour × the number of hours + 3% of x

∴ 624.86 = 12.85 (40) + 3% (x)

∴ 624.86 = 514 + $\frac{3}{100}$ x

∴ 624.86 = 514 + 0.03 x

- Subtract 514 from both sides

∴ 110.86 = 0.03 x

- Divide both sides by 0.03

∴ 3695.33 = x

∴ Her total sales = $3695.33

Her total sales was $3695.33

Learn more:

You can learn more about the percentage in brainly.com/question/82877

#LearnwithBrainly

4 0

3 years ago