All categories

2 years ago

Please answer this as fast as you can In the graphic above, ΔABC ≅ ΔEDC by: HL. AAS. AAA. SSS.

Mathematics

1 answer:

Masja [62]2 years ago

4 0

Answer:

Step-by-step explanation:

Triangles by definition have 3 sides. If the sides are corresponding then it is beneficial to us if they are the same length as well. If all 3 sides in one triangle are equal in length to the corresponding sides in another triangle, then the triangles are congruent by SSS (side-side-side). This is the case for us. Side EC is corresponding and congruent to side AC; side CD is corresponding and congruent to side CB; side ED is corresponding and congruent to side AB.

You might be interested in

The area of a rectangular banquet call is 7400 ft.². The length of one side of the hall is 82 feet. Explain how you can use comp

kiruha [24]

Answer:

Compatible width of rectangular banquet hall could be 90 feet approximately.

Step-by-step explanation:

Given

Area of a rectangular banquet hall = 7400 square feet

Length of rectangular banquet hall = 82 feet

We need to calculate width of the rectangular banquet hall.

Now Area of rectangle is equal to length times width.

Framing in equation form we get;

$Area\ of \ Rectangle= length \times width$

Substituting the given values we get;

$82 \times width = 7400\\\\width = \frac{7400}{82} = 90.2439$

Now by definition of Compatible numbers which state that:

"Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier."

Now By Using width as 90 feet and length as 82 feet we get area as 7380 sq ft. which is closet to actual area which is 7400 sq ft.

Hence we can say compatible width could be 90 feet approximately.

5 0

2 years ago

In the figure, CD = EF and AB = CE. Complete the statements to prove that AB = DF.

viva [34]

Answer:

1. Addition Property of Equality

2. Segment addition

3. Substitution Property of Equality.

4. Transitive Property of Equality.

Step-by-step explanation:

Here, given : CD = EF and AB = CE

To Show: AB = DF

Now, as given in the steps:

1. CD + DE = EF + DE by the (addition) Property of Equality.

As we have added the EQUAL QUANTITY on both sides of the equality.

2.CE = CD + DE and DF = EF + DE by (segment addition).

As here CE and DF are line segments. And the length of a

Line Segment = Sum of all its parts in which it is divided.

3.CE = DF by the (Addition, subtraction, substitution, transitive)Property of Equality.

Here, as we know CE = CD + DE

but CD = EF , so SUBSTITUTE EF in place of CD

⇒ CE = EF + ED = FD (by substitution) Property of Equality.

4.Given, AB = CE and CE = DF implies AB = DF by the (transitive)Property of Equality.

As, x = y , y = z ⇒ x = z is the TRANSITIVE PROPERTY

3 0

2 years ago

Read 2 more answers

A store makes a profit of $18 on a blanket after a markup of 30%. What is the selling price of the blanket?

Sidana [21]

$23.40 because 18•0.3=5.4 and 18+5.4=23.4.

6 0

2 years ago

Read 2 more answers

What are three different ways to make the number 15,638 with only hundreds, tens, and ones?

Mademuasel [1]

156 hundreds 3 teens and 8 ones I believe

3 0

2 years ago

Read 2 more answers

Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle

konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0

2 years ago