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Alex787 [66]
3 years ago
6

Which best completes the following sentence? Triangles are congruent if they have the same

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer:

Triangles are congruent if they have the same sides.

Step-by-step explanation:

Triangles are congruent when all corresponding sides and interior angles are congruent.

horsena [70]3 years ago
3 0

Answer: size and shape

Step-by-step explanation:

Hi, triangles are congruent if they have the same size and shape. It means that they have exactly the same three sides, and exactly the same three angles, but one may be a mirror image of the other.

Each part of the triangle (side or angle) is congruent to the corresponding part in the other triangle.

Feel free to ask for more if needed or if you did not understand something.

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Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
jenyasd209 [6]

Answer:

C. About 75 in²; Aubrey found the surface area of the cone and included the base.

Step-by-step explanation:

In the questions above we were given the following:

Cone with

Diameter(D) = 6 inches

Slant height (l) = 8 inches.

Aubrey made an error in her calculation.

She found the Total Surface area of the cone using the formula:

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

The Total surface area of a cone is the calculated as Sum of the curved surface area of a cone and the base of the cone.

Where:

Curved surface area of the cone is calculated as = πrl

Base of a cone is calculated as = πr²

Where r = radius of the cone

l = slant height of the cone

In the question, we were given

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Surface area = 3.14 × 3(8+3)

= 9.42 × 11

Surface area = 103.62 in²

Approximately to the nearest inch = 104 in² or 104 square inches.

But this answer is WRONG.

The RIGHT FORMULA Aubrey should have used is

Curved Surface Area or the Lateral Area of a Cone = πrL

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Curved Surface Area of a Cone = πrL

= 3.14 × 3 inches × 8 inches

= 75.36 square inches or 75.36in²

Approximately to the nearest inch = 75 square inches or 75 in².

This is the correct answer.

The error Aubrey made was she calculated the Total surface area of the cone which includes the base of the cone instead of calculating the curved surface area of the cone only.

Hence, from the above calculation , we can see that Option C "About 75 in²; Aubrey found the surface area of the cone and included the base" is the correct option.

5 0
2 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle. The
Goshia [24]
The answer is 72+4.5 pi= 86.1372
6 0
3 years ago
Read 2 more answers
Is x²-5x+3=0 is a linear equations?
Neporo4naja [7]

Answer:

No, the equation is not a linear equation.

Step-by-step explanation:

There is the x^2 thing that doesn't make it a linear equation.

8 0
3 years ago
Read 2 more answers
What is the cost of gas at 4.6 $2.70 per gallon
Anarel [89]

Answer:

$12.42

Step-by-step explanation:

4.6 gallons at 2.70 per gallon.

4.6*2.70= $12.42

3 0
3 years ago
The sixth grade has collected $116 for a local animal shelter. Thief goal is to collect $500. They have three weeks left how muc
leva [86]
500 - 116 = 384 left to collect

384 divided into 3 weeks = 128

They must collect $128 per week in order to reach their goal of $500.
8 0
3 years ago
Read 2 more answers
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