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timama [110]
2 years ago
11

A rectangle with a length of 2 w and width of w. An equilateral triangle with side lengths of w + 8. The perimeters of a rectang

le and an equilateral triangle are equal. What is the equation for this scenario? rectangle’s perimeter: equilateral triangle’s perimeter: scenario’s equation:
Mathematics
2 answers:
Mkey [24]2 years ago
8 0

Answer:

rectangles perimeter: 6w

equilateral triangles perimeter: 3w+24

scenario’s equation: 6w=3w+24

Step-by-step explanation:

w=8

rectangles perimeter= 48

EQUTRI perimeter= 48

inn [45]2 years ago
7 0

Answer:

1st part: 3rd option

2nd part: 4th option

3rd part: 4th option

Step-by-step explanation:

Which expression represents the rectangle’s perimeter?

2(2w-6)+2(w)

Which expression represents the triangle’s perimeter?

3(w+8)

What is the perimeter of both polygons?

60 units

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Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben
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Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

4 0
1 year ago
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
Jet001 [13]

Answer:

Option B.

Step-by-step explanation:

It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.

RT is altitude on side SQ, ST=9, TQ=16 and SR=x.

In ΔSRQ and ΔSTR,

m\angle S=m\angle S           (Reflexive property)

m\angle R=m\angle T           (Right angle)

By AA property of similarity,

\triangle SRQ\sim \triangle STR

Corresponding parts of similar triangles are proportional.

\dfrac{SR}{SQ}=\dfrac{ST}{SR}

Substitute the given values.

\dfrac{x}{9+16}=\dfrac{9}{x}

\dfrac{x}{25}=\dfrac{9}{x}

On cross multiplication we get

x^2=25\times 9

x^2=225

Taking square root on both sides.

x=\sqrt{225}

x=15

The value of x is 15. Therefore, the correct option is B.

7 0
2 years ago
Read 2 more answers
On a december day, the probability of snow is .30. the probability of a "cold" day is .50. the probability of snow and "cold" we
Svetradugi [14.3K]
Events A and B are independent if the following holds true:

P(A ∩ B) = P(A) * P(B)

where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.

Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.
7 0
2 years ago
Sonny deposited $8,500 in an account that earns 4% simple interest. If Sonny makes no more deposits or withdrawals, then how muc
SashulF [63]

Answer: $680.00

Step-by-step explanation:

Principal= 8500

Rate= 4%

Time= 2 years

Interest= (Principal×Rate×Time)/100

= (8500×4×2)/100

= 68000/100

= $680

The interest is $680

5 0
1 year ago
Read 2 more answers
REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even inte
san4es73 [151]

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20

8 0
2 years ago
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