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babunello [35]
3 years ago
14

Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z

= -0.5.
Mathematics
2 answers:
Bogdan [553]3 years ago
8 0
A. z=5.5
25^(5.5-4)=125
25^(1.5)=125
      125 = 125
z=5.5
cestrela7 [59]3 years ago
7 0
<span>
given
25^(z - 4) = 125
ln(</span>25^(z - 4)) = ln (125)
(z-4)ln(25) = ln(125)
z = ln(125)/ln(25) + 4
z = 5.5

which means that the answer is A. 
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Which pair of triangles can be proven by the HL theorem
natulia [17]
Also known as the hypotenuse leg theorem. It states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.' This is kind of like the SAS, or side-angle-side postulate. Congruent triangles.
4 0
3 years ago
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
3 years ago
IF THE RATIO IN A VALENTINE'S
GalinKa [24]

Answer:

12 dark chocolates

Step-by-step explanation:

Let there are 2x milk chocolates and 3x dark chocolates.

Total no of milk chocolates = 8

ATQ,

2x = 8

x = 4

Dark chocolates = 3x

= 3(4)

= 12

Hence, there are 12 dark chocolates.

3 0
2 years ago
Daniel bought 3 sweaters that each cost the same amount and a jacket that cost $40. The items he bought cost a total of $100 bef
MA_775_DIABLO [31]
3x+40=100


subtract 40 from both sides

3x= 60

divide by 3

x=20
each Sweater cost 20
3 0
2 years ago
The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.​
mars1129 [50]

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

  • Perimeter = 30 cm
  • Length = x cm

Using the perimeter formula to find the width w.

P=2(l+w)

P = 2l + 2w

2w = P-2l

Dividing both sides by 2

w\:=\:\frac{P}{2}-2

as P = 30 cm

w\:=\:\frac{30}{2}-2

w\:=\:15-2

w = 13 cm

Using the formula of the rectangle area

A = wl

substitute w = 13 and l = x in the formula

A=13\times \:x

A = 13x

Therefore, the area of the rectangle in terms of 'x' = 13x

7 0
2 years ago
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