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Oduvanchick [21]
1 year ago
10

In the diagram below, O is circumscribed about quadrilateral DEFG. What is

Mathematics
1 answer:
Nimfa-mama [501]1 year ago
8 0

Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.

<h3>What is a supplementary angle?</h3>

A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:

Q + R = 180°.

In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:

x + 112° = 180°

x = 180° - 112°

x = 68°

Read more on supplementary angle here: brainly.com/question/12542846

#SPJ1

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7) To determine how many pages would be need to make 3
ivanzaharov [21]

Answer:

368

Step-by-step explanation:

8*46

7 0
3 years ago
Which ordered pair is part of the solution set of the system of inequalities graphed below?
Serjik [45]

They didn't make it easy. Grid lines are apparently 3 apart, but the offered coordinates are all multiples of 4. It appears the only point that is in the doubly-shaded area is ...

... B (-4, -10)

4 0
3 years ago
HELP ME PLEASE
solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

P(t)=A(r)^t

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}

Solve for A. Simplify:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^3

Simplify:

\displaystyle 2=A\Big(\frac{1}{8}\Big)

Thus, the initial mass of the sample was:

A=16\text{ mg}

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

5 0
3 years ago
15. PLEASE HELP ME
Nana76 [90]
  • Surface Area=7238in^2

We know

\boxed{\sf Surface\:area=4\pi r^2}

\\ \sf\longmapsto 4\pi r^2=7238

\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238

\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}

\\ \sf\longmapsto r^2=\dfrac{5066}{88}

\\ \sf\longmapsto r^2=575.75

\\ \sf\longmapsto r^2\approx576

\\ \sf\longmapsto r\approx\sqrt{576}

\\ \sf\longmapsto r\approx24in

<h3>Option b is coreect</h3>
4 0
3 years ago
Read 2 more answers
Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,
Firlakuza [10]
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
</span>
 Tan(α)=Opposite leg/Adjacent leg

 α=30°
 Opposite leg=x
 Adjacent leg=200 feet

 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/200
 
 You must clear "x":

 x=200xTan(30°)

 Therefore, the value of "x" is:

 x=115 feet
<span>
 How high above the ground the is the helicopter?

 The answer is: 115 feet</span>
4 0
3 years ago
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