Can you show me how to solve this problem: a. ) 16=4 to the 3rd power x -7

Answers

Answer 1
Answer: We assume you mean
\ \ \display{16=4^(3x-7)}
This is solved by writing 16 as a power of 4 and equating exponents.
\ 4^(2)=4^(3x-7)
  2 = 3x - 7 . . . . . equate exponents
  9 = 3x . . . . . add 7
  3 = x . . . . . divide by 3

The solution is x = 3.

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A Triangle has an angle that measures 137.3 degrees. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

Answers

so we start off by subtracting 137.3 from 180 getting 42.5. If you add the ratios up (3+4) you get 7 and 7 should equal 42.5. thus,

42.5/7= 85/14

(85/14)*3=18.2 or (255/14 to be exact)
(85/14)*4= 24.29 or (170/7 to be exact)

Which expression is equivalent to StartRoot 200 EndRoot?A) 2 StartRoot 10 EndRoot
B) 10 StartRoot 2 EndRoot
C) 10 StartRoot 20 EndRoot
D) 100 StartRoot 2 EndRoot

Answers

Answer:

Answer

is B

10√2

Step-by-step explanation:

is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Answer:

b

Step-by-step explanation:

Subject: writing equations
Fake answers-reported cuz I’m rly tryna pass this shi.

Answers

Answer:

1) Y-6=-3/2(X-0)     2) Y= -3/2x+6   3) 3x+2y=12

Step-by-step explanation:

State if the two triangles are congruent. If they are, state how you know.1) SSS
2) SAS
3) ASA
4) AAS
5) NOT CONGRUENT

Pic is up right answer = brainliest

Answers

The two triangles ΔABC and ΔCDA are congruent. Then the correct option is B.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The rectangle is ABCD is given below.

In triangles ΔABC and ΔCDA,

AB = CD (opposite sides)

BC = AD (opposite sides)

∠ABC = ∠ADC = 90°

The two triangles ΔABC and ΔCDA are congruent. Then the correct option is B.

More about the rectangle link is given below.

brainly.com/question/10046743

#SPJ2

Answer: Your answer is 2) SAS

Step-by-step explanation: Yes, there are congruent.

Really easy question-12/15 + -5/15 ?
There’s an even amount of negatives so will the answer be positive?

Answers

It’s negative = -17/15

20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 9 centimeters, what will be the exact area of each hexagonal shape?

Answers

Answer:

210.33 cm^2

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height  (opposite) is calculated as,

From Pythagoras's theorem,

hyp^(2) = adj^(2) + opp^(2)

substituting, we have

9^(2) = 4.5^(2) + opp^(2)

81 = 20.25 + opp^(2)

opp^(2) = 81 - 20.25 = 60.75

opp = √(60.75) = 7.79 cm  this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = (1)/(2) bh

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = (1)/(2) x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = 210.33 cm^2