D= distance
t= time
s= speed
FORMULA
Distance= speed * time
STEP 1:
Find total distance
Jim's D + John's D= 3 miles
STEP 2:
Distance= (Jim's speed * time) + (John's speed * time)
D= 4t + 5t
3 miles= 9t
divide both sides by 9
3/9= t
reduce by 3
1/3 hour= t
STEP 3:
1 hour= 60 minutes
=1/3 * 60
=(60/3)
= 20 minutes
ANSWER: They will travel 20 minutes before they meet.
Hope this helps! If it does, please mark me brainliest! :)
Answer:
<u>option D</u>
Step-by-step explanation:
It is required to transform triangle A into similar triangle A' in Quadrant IV.
The given triangle in Quadrant II.
We will check the options:
A. Rotate triangle A 90 clockwise about the origin then translate five units up.
Wrong because triangle A' will be at Quadrant I.
B. Dilate triangle A by a scale factor of 4. Translate triangle A to the left.
Wrong because triangle A' will be at Quadrant II.
C. Reflect triangle A across the y-axis and then translate the triangle 3 units up and 2 units to the right.
Wrong because triangle A' will be at Quadrant I.
D. Reflect triangle A across the x-axis and then reflect the triangle across the y-axis.
True Because reflection triangle A across the x-axis, the first image will be at Quadrant III, then reflection the first image across the y-axis, we will get triangle A' will be at Quadrant IV.
<u>So, the answer is option D</u>
Your answer is B for this one
Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as: 
Area of a rectangle is calculated as: 
Area of a right trapezoid is:
, where:
a is short base
b is long base
h is height
1) Expressing areas in terms of x:
Area of triangle S1:


Area of rectangle S2:


Area of trapezoid S3:



2) a) 


Which is the same as S = (2x-3)(5x-9)
b) For the areas to be the same:




Using Bhaskara to solve the second degree equation:

= 1.8
= 1.5
For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.
c) <u>Expand</u> <u>a</u> <u>polynomial</u> (or equation) is to multiply all the terms, remiving the parenthesis. <u>Reduce</u> <u>a</u> <u>polynomial</u> (or equation) is to combine terms alike,e.g.:

(expand)
(reduce)
d) For area of AFCG to be bigger than area of ADEB by 27:



Solving:


2.82
= 0.48
According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82