Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. The sides AB and BC are congruent when they have equal lengths of the sides. An isosceles triangle two sides are equal in length.
Answer:
A; the actual length of the land bridge from P to H is 50 yards
Step-by-step explanation:
Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.
Mathematically, to calculate this distance, we make use of the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)
Substituting these values
D = √(32-2)^2 + (15-55)^2
D = √(-30)^2 + (-40)^2
D = √(900 + 1600)
D = √(2,500)
D = 50 units
Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards
Answer:
$121.82
Step-by-step explanation:
Okay, this is kind of complex, so let's go step by step.
First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so 
m² is the area of the rectangle.
However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).
The area of a circle is represented by the formula 
The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.
First circle's radius: 
Second circle's radius: 
Third circle's radius: 
Now let's find the area of each circle.
<em>First Circle</em>: 
<em>Second Circle</em>: 
<em>Third Circle:</em> 
Adding all of these values gets us 412.125.
Now we can subtract from this from 4500 to get us 4087.875
If the grass seeds that cost £1.49 cover 50m² each, then we need 
bags.
Each bag costs £1.49, so the total cost is 
Hope this helped!!
Answer: thousand place
Step-by-step explanation:
hope this helps
o.83
Step-by-step explanation:
Conversion a mixed number 3 1/
4
to a improper fraction: 3 1/4 = 3 1/
4
= 3 · 4 + 1/
4
= 12 + 1/
4
= 13/
4
To find new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 4.
Three and one quarter is thirteen quarters
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Add: 13/
4
+ 7/
3
= 13 · 3/
4 · 3
+ 7 · 4/
3 · 4
= 39/
12
+ 28/
12
= 39 + 28/
12
= 67/
12
