Which of the following sets of numbers could be the lengths of the sides of a triangle?a. 2 in., 4 in., 6 in.
b. 2 in., 4 in., 5 in.
c. 2 in., 6 in., 12 in.
d. 2 in., 8 in., 14 in.

Answers

Answer 1

Answer: ok
longest side measure must be less than the sum of the other 2 sides
basically
longestside<otherside1+otherside2

a.
longest is 6
6<4+2
6<6
false, cannot

b.
longest is 5
5<4+2
5<6
true, can be a triangle

c. longest is 12
12<6+2
12<8
false, cannot

d. longest is 14
14<8+2
14<10
false, cannot

B is only possible

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Help, please. I really need help one this

A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 units. What is the width of the rectangle?

Answers

We can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have been given that a rectangle’s area and perimeter have the same numerical value also the length of the rectangle is 12 units.

The area of the rectangle = 12x2.4 = 28.8

Area = Perimeter

Length x Width = 2 (Length + Width)

Then Substituting the value of the width, we get the length,

12 x W = 2(12 + W)

12W = 24 + 2W

10W = 24

W = 2.4

Hence we can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

To know more about the area and perimeter of a rectangle, follow the link given below.

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Answer:

2.4

Step-by-step explanation:

12x2.4 = 28.8 (Area)

12+12+2.4+2.4 = 28.8 (Perimeter)

An article retails for $38.50. The city sales tax is 4%, and the federal excise tax is 7%. How much is the total tax?

Answers

4/100; 38.50 x 0.04= $1.54
7/100; 38.50 x 0.07= $2.70

$1.54 + $2.70= $4.24

First you add the two tax percentages together- 11%
Then you must find what 11% of $38.50 is;
So, you multiply $38.50 by .11; which is the equivalent of 11% of the total.
This equals $4.235, which would be your total tax.

Select all of the expressions that are equivalent to
-4.5 – 5.2.

Answers

Answer:

-4.5-5.2 and -4.5+(-5.2)

Step-by-step explanation:

Final answer:

The expression -4.5 – 5.2 is a simple subtraction problem involving real numbers. To find equivalent expressions, you perform the subtraction which results in -0.7. Hence, any expression that evaluates to -0.7 is equivalent to -4.5 – 5.2.

Explanation:

The expression -4.5 – 5.2 is a simple subtraction problem involving real numbers. To find an equivalent expression, we need to perform the subtraction. Here's how you do it:

First, line up the numbers vertically. -4.5 on the top and 5.2 below it.
Then subtract each number as if it were a positive value without considering the signs (5.2 - 4.5 = 0.7).
Finally, assign the sign of the largest absolute value to the result. Since the larger number 5.2 is subtracted, the result is negative. Therefore, the final result is -0.7.

Thus, the expressions equivalent to -4.5 – 5.2 are those that evaluate to -0.7.

Learn more about Equivalent Expressions here:

brainly.com/question/34744290

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The line segment that connects two nonconsecutive vertices in a polygon is called a

Answers

A line segment joining two adjacent vertices of a polygon is called an edge.

The line segment that connects two nonconsecutive vertices in a polygon is called a Diagonal i guess

If two figures are similar, the resulting corresponding angles are always enlarged reduced congruent similar

Answers

If two figures are similar, the resulting corresponding angles are CONGRUENT.

Congruent means exactly equal in size and shape. Congruent angles have the exact same measure.

Two figures are similar when its corresponding angles have the same exact measure.

the answer is congruent. I just took the quiz and I got it right hope this helps!

Gavin buys 7 rulers for £3.50 how much would 9 cost