set up proportion and solve ​

Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

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Work Shown:

The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]

Use the distance formula

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]

Answer:

To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.

Step-by-step explanation:

Answer:

y=[tex]\frac{1}{3}[/tex]x+8

Answer:

I got 1.19446588127

Step-by-step explanation:

its to much but i solved only 2 i hoped i help

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

Answer:

[tex]m=8[/tex]

Step-by-step explanation:

[tex]9m-3(m+6)=2(m+7)[/tex]

[tex]9m-3m-18=2m+14[/tex]

[tex]6m-18=2m+14[/tex]

[tex]4m= 32[/tex]

[tex]m=8[/tex]

Answer:

If 16 quarters is equal to 2 toonies, then 1 quarter is;

16 : 2

1 : x

16x = 2

x = 2/16

x = 1/8 toonies

20 quarters would therefore be;

= 1/8 * 20

= 2.5 toonies

24 quarters would be;

= 1/8 * 24

= 3 toonies

Answer:

x = -3 (yes that's negative 3)

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

[tex] \sf \: x = - 3[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6 + x + 4 = -5

Then the value of x will be,

→ -6 + x + 4 = -5

→ x + (-6 + 4) = -5

→ x + (-2) = -5

→ x - 2 = -5

→ x = -5 + 2

→ [ x = -3 ]

Hence, the value of x is -3.

Answer:

$0.39

Step-by-step explanation:

3.90/10= 0.39 per pound for 10 pound watermelons

Answer:

B) p<5

Step-by-step explanation:

Answer:

Did you insert a picture because I cant see one

Answer:

Step-by-step explanation:

[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]

Answer:

46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot

Step-by-step explanation:

in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant

Answer:

46 miles per hour

Step-by-step explanation:

2x46=92

92÷2=46

92-46=46

Answer:

9 more weeks

Step-by-step explanation:

because if you do 740-500 you get 240

so then i divide 240 by the money per week (25) and

get 9.6 so it is 9 weeks

Answer:

3.1536×10^6

I hope this helps!

Answer:

p = 1/8

Step-by-step explanation:

Hi there !

⁸⁾-3p + 1/8 = ²⁾- 1/4

- 24p + 1 = - 2

- 24p = - 2 - 1

- 24p = - 3 | (-)

24p = 3

p = 3⁽³/24

p = 1/8

Good luck !

Answer:

the answer is 260

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps

Answer:

$3.77

Step-by-step explanation:

First, add all of the numbers together:

$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65

Next, divide that number by the number of numbers:

22.65/6=3.77

<3

Answer:

1. 68

2. Net gain of 6 yards

3. 7684 ft

Step-by-step explanation:

1.

Walmart’s stock price started at $70. It went up by $2, then went down $4

Final stock = [tex]70+2-4=68[/tex]

2.

A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards

Here,

[tex]5-2+6-3=6[/tex]

So, net gain of 6 yards

3.

Difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft  below sea level = [tex]7677-(-7)=7677+7=7684\,\,ft[/tex]

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]

Answer:

The point (1 | 6) is on the graph.

Step-by-step explanation:

Answer:

it is 1/6

Step-by-step explanation: