Giving brainliest *easy*!!

Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated, and why?

HACTEHA [7]

The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:

C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent.

If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency.

4 0

3 years ago

Read 2 more answers

It takes three hours for a boat to go 18 miles downstream, and nine hours to return. What is the rate of the boat in calm water

vampirchik [111]

Step-by-step explanation:

Distance = rate × time

If B is the rate of the boat, and C is the rate of the current, then we can write two equations:

18 = (B + C) × 3

18 = (B − C) × 9

Simplifying the equations:

6 = B + C

2 = B − C

Add the equations together to eliminate C:

8 = 2B

B = 4

Plug into either equation to find C:

C = 2

The boat's rate is 4 mph, and the current's rate is 2 mph.

5 0

3 years ago

Which statements are true about David's work? Check all that apply. The GCF of the coefficients is correct. The GCF of the varia

Anon25 [30]

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

6 0

2 years ago

Read 2 more answers

Can someone please explain?

AlladinOne [14]

<h2>Hello!</h2>

The answer is:

The correct option is the first option:

$y=-4x+64$

To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

$y=mx+b$

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

$m=\frac{ChangeInY}{ChangeInX}$

Which is for this case:

$m=\frac{64}{16}=4$

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

$m=-4$

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at: $y=64$

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

$y=mx+b=-4x+64\\y=-4x+64$

So, the correct option is the first option:

$y=-4x+64$

Have a nice day!

4 0

2 years ago

O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer

ikadub [295]

Answer:

$c=18.90-2.1r$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.

Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.

Then, explain when it might be helpful to write the equation in these forms.

a. c=18.9-2.1r. b. r= -10÷2c+9

we have that

The linear equation in standard form is

$0.90c+1.89r=17.01$

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

$0.90c=17.01-1.89r$

Divide by 0.90 both sides

$c=(17.01-1.89r)/0.90$

Simplify

$c=18.90-2.1r$

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

$1.89r=17.01-0.90c$

Divide by 1.89 both sides

$r=(17.01-0.90c)/1.89$

Simplify

$r=9-0.48c$

therefore

The equation $c=18.90-2.1r$ is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

4 0

3 years ago