Two hikers walk on a trail in the direction of increasing mile marker numbers. Mandy starts at mile marker 1 and hikes at a rate of 2.5 miles per hour. At the same time, Rita starts at mile marker 2 and hikes at a rate of 3 miles per hour. The equation 2.5h+1=3h+2 represents the number of hours h it will take Mandy to catch up with Rita.

Answer:

Option (B)

Step-by-step explanation:

From the given picture,

Given:

Two lines PM and QR are intersecting each other at a point N.

∠NMR ≅ ∠NPQ

NR ≅ QN

To prove:

ΔMNR ≅ ΔPNQ

              Statements                               Reasons

1). NR ≅ QN                                 1). Given

2). ∠NMR ≅ ∠NPQ                     2). Given

3). ∠MNR ≅ ∠PNQ                     3). Definition of vertical angles

4). ΔMNR ≅ ΔPNQ                     4). AAS theorem of congruence

Therefore, Option (B) will be the correct option.

Answer:

B: AAS Congruence Theorem

Answer:

it would be 5.60

Step-by-step explanation:

5.60 is the answer

Answer:

F

Step-by-step explanation:

21+14+30+38+42= 145

145÷5= 29

Hope this helps, have a good day!

Answer:

A

Step-by-step explanation:

Answer:

67%

Step-by-step explanation:

I added 48%+19%

Answer:

(7/8) - (6 3/4) = -5.875

Answer:

line c and e

Step-by-step explanation:

Answer:

Simplified:

x^3 - 6x^2 + 5x + 12

Roots:

-1

3

4

Answer:

the answer is greater...

Answer:

A

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

Answer:

y + 0 = 5 ⋅ ( x + 1 )

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula

 y − y 1 = m ( x − x 1 ).

Answer: My answer is (5,-1) sorry for the stop - typing I had to do something.

Answer:

39% of 198 = 77.22

Have a nice day.

1: Calculate the percentage of a number.

For example: 39% of 198 = 77.22

2: Calculate a percentage based on 2 numbers.

For example: 77.22/198 = 39%

hope this help!

Answer:

x= 40

Step-by-step explanation:

the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6

multiply the side congruent to x by 1.6, so 25 and 1.6

you should get 40

Answer:

25612

Step-by-Step Explanation:

Simple multiplication

Answer:

Slope = -2

Step-by-step explanation:

use the formula y2-y1 over x2-x

Pick two points from the graph

(3,-6) and (-3,6)        

X= 3 and -3

Y= -6 and 6

6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)                  

Answer:

Total interest = A - P = $2,223.00

Total amount = $10,023.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 9.5%/100 = 0.095 per year.

Solving our equation:

A = 7800(1 + (0.095 × 3)) = 10023

A = $10,023.00

The total amount accrued, principal plus interest, from simple interest on a principal of $7,800.00 at a rate of 9.5% per year for 3 years is $10,023.00.

Answer:

y = 2x + 25

Step-by-step explanation:

Slope-Intercept Form: y = mx+b

Slope: m = 2

y = 2x + b

Solve for b:

y = 2x + b

11 = 2(-7) + b

11 = -14 + b

b = 25

y = 2x + 25

Answer:

The answer is D; Hanna is not correct,. The fraction 1/4 is equal to 2/8, so you can graph it on the second tick mark to the right of zero.

Step-by-step explanation:

Because the number line is broken up into 8 parts, the points on the graph are, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 (also known as one)

1/4 = 2/8. We know this because if we multiply 1/4 by 2, we get 2/8.

So, because 2/8 is the same as 1/4, we know that Hanna is not correct, and that you can graph 1/4 on this number line, because it is the same as 2/8.

I hope that this helps :)

Answer:D the last one.

Step-by-step explanation:

Answer:

x/4+8

Step-by-step explanation:

....................................

Answer:

what i believe you are looking for:

[tex] \frac{x}{4 + 8} [/tex]

Answer:

It's D

Step-by-step explanation:

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

Answer:

D.

Step-by-step explanation:

Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = [tex]\frac{90 -5f}{2}[/tex]

p = 45 - 2.5f

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

Answer:

x = 5

y = 34

Step-by-step explanation:

Sub y = 8x - 6 into second equation (y = 5x + 9)

8x - 6 = 5x + 9

Rearrange by collecting like terms

8x - 5x = 9 + 6

3x = 15

x = 5

Sub x = 5 into first equation (y = 8x - 6)  

y = (8*5) - 6

y = 40 - 6

y = 34

Answer:   41

Step-by-step explanation:

Answer: U should try a video because i can't do exponents on my computer and i don't have time to write it.

Step-by-step explanation: