Find the circumference of a circle with diameter, d = 9.06m. Give your answer rounded to 2 DP

1. Based on the information given, can you determine that the quadrilateral must be a

zhenek [66]

Solving Q1: Given BE = ED and AE = EC.

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)

Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)

Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

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Solving Q2: The parallelogram has the angle measures shown in the diagram.

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0

3 years ago

HELP What is the area of this figure?

Mademuasel [1]

The correct answer is: [B]: "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ;

in which: " A = area (in units 'squared') ; in our case, " yd² " ;

" b = base length" = 6 yd.

" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
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→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;

= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

A = s² ;

in which: "A = area (in "units squared") ; in our case, " yd² " ;

"s = side length (since a 'square' has all FOUR (4) equal side lengths);

A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;

to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________

4 0

3 years ago

A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distan

Arte-miy333 [17]

The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

let
x---------------> the length of the garden
y---------------> the wide of the garden

we know that
x>=110
2x+2y <=380---------------> x+y <= 190

Part A) Write a system of inequality that model the possible dimensions of he garden

the answer part A) is
x>=110
x+y <= 190

Part B) Graph the system to show all possible solutions

using a graph tool
see the attached figure
the solution is the triangle show in the figure

the possible solutions of y (wide) would be between 0 and 80 ft
the possible solutions of x (length) would be between 110 ft and 190 ft

5 0

3 years ago

What is the probability that there is at most one purple marble? 0.100 0.301 0.770 0.971

andriy [413]

The probability that there is at most one purple marble is 0.9701.

<h3>What is the probability about?</h3>

Probability is a term that connote the possibility of an event or something occurring or not.

Note that it is one that is based on the level of occurrence that can be seen in a random event.

Based on the fact that there is a bag that has eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the probability that there is at most one purple marble is 0.9701.

Learn more about This probability case from

brainly.com/question/3729438

#SPJ4

3 0

2 years ago

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

Mars2501 [29]

Answer:

The awnser is C

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers