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yan [13]
2 years ago
8

Help help help help help

Mathematics
1 answer:
Mkey [24]2 years ago
5 0

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

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From her eye, which stands 1,61 meters above the ground, Savannah measures the
Cloud [144]

Answer:

152.99 m

Step-by-step explanation:

Using the solution diagram attached below :

We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;

Tan θ = opposite / Adjacent

Tan 24 = h / 340

h = tan 24 * 340

h = 151.37775

Hence, the height will be (h + distance from eyelevel to ground)

151.37775 + 1.61

= 152.98775

= 152.99 m

4 0
2 years ago
What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm
solong [7]

Answer:

(x+4)^2+(y-6)^2=81

Step-by-step explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius r units is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the radius and the center to obtain;

(x+4)^2+(y-6)^2=9^2

The required equation is:

(x+4)^2+(y-6)^2=81

3 0
3 years ago
How much principal must be deposited in a 2 year simple interest account that pays 1.75% interest to earn $300 in interest?
ollegr [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
A photograph of a painting measures 13 units by 17 units. If the scale factor is 1/3, what is the actual size of the painting?
Vlad1618 [11]

Answer:

39 units by 51 units

Step-by-step explanation:

The painting is a scale factor of 1/3, so each side length is 1/3 of the original.  To find the original multiply both side lengths by 3.

13x3 = 39

17 x 3 = 51

5 0
3 years ago
Write an exponential function to represent a person consuming a bag of candy in which the initial value in an is 175 pieces and
Alisiya [41]

We will see that the exponential decay function is:

f(x) = 175*(0.8)^x

<h3>How to find the exponential decay?</h3>

The general exponential decay is:

f(x) = A*(1- r)^x

Where:

  • A is the initial value.
  • r is the rate of decay in decimal form.
  • x is the variable, in this case is the time.

Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.

20%/100%  = 0.2

Replacing that in the exponential function, we get:

f(x) = 175*(1 - 0.2)^x

f(x) = 175*(0.8)^x

If you want to learn more about exponential functions, you can read:

brainly.com/question/11464095

5 0
2 years ago
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