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Harrizon [31]
3 years ago
15

The one gives the answer will be marked as the brainliest.......

Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Answer:

40

Step-by-step explanation:

The angles are around a point

We know that the sum of angles around a point add p to 360 degrees

Also, opposite angles are equal, which makes the angle opposite to 160 also 160.

Thus D = 360-(160+160) = 360-320 = 40 degrees

Hope this helps

tekilochka [14]3 years ago
7 0

Answer:40°

Step-by-step explanation: since, 180° is a straight line, the distance between 180 and 160 is 20… and the angle covers one 20 and another 20 as you can see. One to the top of the straight line and one to the down. So by adding both 20 we get 40°.

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How far can your car go on one tank of gas if the tank holds 16 gallons and you average 23 miles of driving per gallon? 
Morgarella [4.7K]
You multiply 16 by 23 and you get 368
7 0
3 years ago
According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round
Temka [501]
<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

P_{1}V_{1}=P_{2}V_{2}

Where,

P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}

So, substituting the given information and calculating, we have:

V_{1}=\frac{8.59atm*527mL}{5.42atm}

V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0
3 years ago
Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
= 36√3. 
4 0
3 years ago
Philip's Bagel Shop recently sold 18 bagels, of which 9 were whole wheat bagels. Considering this data, how many of the next 14
lora16 [44]

Answer:Philip's Bagel Shop recently sold 18 bagels, of which 9 were whole wheat bagels. Considering this data, how many of the next 14 bagels sold should you expect to be whole wheat bagels?

Step-by-step explanation:

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5 0
2 years ago
If arc EF = 151°, find mEDF.
user100 [1]
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.

We can deduct it as well.

1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°

2) Draw a chord from F to D and other chord from D to E.

You have constructed two triangles, FOD and DOE.

3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.

4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.

5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.

This is a + a + b + b + (360 - central angle) = 360°

=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°

(a+b) is the angle that you are looking for.

Then the answer is 71.5°

 
4 0
3 years ago
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