If abcd is a parallelogram what is the length of bd

Answer:

16

Step-by-step explanation:

The value of the angle m∠P is given by the law of sines and m∠P = 16°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔNOP

Now , the measure of side p = 72 inches

The measure of side o = 84 inches

And , the measure of angle ∠O = 19°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin p / 72 = sin o / 84

Multiply by 72 on both sides , we get

sin p = ( 72 / 84 ) sin ( 19 )°

On further simplification , we get

sin p = ( 0.857 ) x 0.325568

sin p = 0.279058

Taking inverse on both sides , we get

p = sin ⁻¹ ( 0.279058 )

p = 16.204°

Therefore , the value of p is 16°

Hence , the measure of angle ∠P = 16°

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Answer:

B

Step-by-step explanation:

Ape x

Answer:

Step-by-step explanation:

C

Answer:

I factored it

Step-by-step explanation:

-12x^2 + 5x - 26

-1(-12x^2 + 5x - 26)

-1 is there only common factor

Answer:

y=8

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

Divide each term by  9  and simplify.

Answer:3!

Step-by-step explanation:

Answer:

No, I do not think the sample is biased.

Step-by-step explanation:

Well, Theo is surveying people randomly, he has no way of knowing who'll be the fourth person.

Answer:

1) a. y = 4x + 8

  b. It will take 9 days for it to grow 44 inches tall

hope this helps :)

Answer:

a. y= 4x+8

b. 23 days

Step-by-step explanation:

8 is the y-int.

Slope you go up 4 and 1 to the right

y = 4*44+8

y= 176+8

y=184/8

y= 23

Answer:

A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the population is p(t)=2500e^(kt) for some constant k. Find the size of the bacterial population after 100 minutes. Find the size of the bacterial population after 4 hours.

Step-by-step explanation:

Answer:

1. 10000 bacteria

2. 640000 bacteria

Step-by-step explanation:

2500 bacteria: 30 minutes

x bacteria: 60 minutes

The bacteria gets doubled twice

2500*2*2=10000

x bacteria:240 minutes

The bacteria gets doubles 8 times

2500*2*2*2*2*2*2*2*2= 640000

Answer:271.66$

Step-by-step explanation:

Answer:

1[tex]x^{2}[/tex]

Hope that helps!

Step-by-step explanation:

Answer: look at the symbols <, > and <=, >=

Step-by-step explanation:

If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.

Answer:

2(3x2 + 6x - 10) + 2(3x + 5)

Step-by-step explanation:

Answer:

Lol. Give brainliest to the other guy.

Step-by-step explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

Answer:

Step-by-step explanation:

ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt

The inequality that describes the possible value of x is 2< x < 22.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given that ∠A = 50°

AB ≈ DE ≈ EF

BC = 12

CD = 10

And the ∠E = (5x - 10)°

From the Graph, we can see that Angle A is the alternate angle to angle G

Alternate angles are the angles that occur on opposite sides of the transversal line. We can easily spot two interior alternate angles by drawing Z. The value of alternate angles is equal.

thus, ∠A = ∠E

50° = 5x -10

5x = 60

x = 12

Therefore, from the given options the value of x lies in the inequality 2 < x < 22.

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Answer:

y = xa - (4 + b)

where a or b do NOT = 1

Step-by-step explanation:

changing a changes the angle of the line, where as changing b changes how high up or down the y-axis the line crosses at

the current problem draws a line that is 45 degrees and crosses the y-axis at -4, we can change that in any way, if we make a = 3, then the slope will be 3 times greater then if it was 1, if it was 1/3 then it would be 1/3 of the slope, making it seem flatter and less steep

i hope this helps you create your own formulas now and in the future, this is a reference sheet i made for my own schooling, though i used a different example problem

as always. y = mx + b and have a great day :D

Answer:

I believe that the answer is 13 feet long

Answer:

1 2/8 and 1 1/15

Step-by-step explanation:

10/8 is equal to 1 and 2/8

16/15 is equal to 1 and 1/15

Answer:

6.25%

Step-by-step explanation:

I'm simply returning the favor.

If the down payment is $200, then we can subtract:

$800 - $200 = $600

Then we can find the "rent" times ten, then subtract it from the $600 left to pay.

$65*10 = $650

Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.

$650 - $600 = $50

Now we need to find how much more Mohamed paid than the original price.

$850 is _____% more than $800.

$850 is 106.25% more than $800.

Subtract 100% to get the difference.

6.25% is your answer.

Hope this helps. Have a nice day.

Answer:

A

Step-by-step explanation:

-5+3=-2

8+14=22

Given:

The figure of two triangles.

To find:

The scale factor.

Solution:

We know that,

[tex]\text{Scale factor}=\dfrac{\text{Side of Image}}{\text{Corresponding side of original figure}}[/tex]

In the given figure,

[tex]\text{Scale factor}=\dfrac{5(2)}{5}[/tex]

[tex]\text{Scale factor}=2[/tex]

The scale factor is 2. Therefore, the correct option is B.

Answer:

The water level is rising because it is filling 10 more liters than it is draining

16.7 hours

Step-by-step explanation:

The rate at which the tank is filled and the rate at which the tank is draining

are constant.

Correct response;

Given:

Volume of water in the aquarium = 10,000 liters

Volume level at which the tank overflows = 12,000 liters

Level of the volume at which the fish get sick = 4,000 liters

Rate at which water enters the tank = 30 liter per minute

Rate at which the tank is draining the water = 20 liters per minute

Required;

The time it will take until the tank starts overflowing.

Solution:

Water that needs to be added to the tank before it begins to overflow = 12,000 liters - 10,000 liters = 2,000 liters

Let x represent the time after which the tank starts overflowing, the

(constant) rate of change function that gives the time it takes for the water

to overflow is therefore;

30·x - 20·x = 2,000

10·x = 2,000

x = 200 minutes = 3 hours and 20 minutes

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Answer:

half correct half wrong 2/5 should be 5/2 but 1 is correct

Step-by-step explanation:

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

=7+3

____

  4

=7−3

____

  4

Rearrange and isolate the variable to find each solution

=5/2

= 1

Solution

=5/2

=1

Answer:

the angle is 81 and it's complementary angle is 9

let X be the angle

let 90-x be it complementary angle

so X=9(90-x)

X=810-9x

810=10x

X=810/10

X=81

and complementary angle 90-x which is 90-81 is equal to 9...

Answer:

Texas is 2.08333 * 10^2 times the size of Carolina.

Step-by-step explanation:

Given :

Given that:

Texas= 2.5x10^5

Carolina = 1.2x10^3

Comparing the size of Texas and Carolina

Texas / Carolina

(2.5 * 10^5) ÷ 1.2 * 10^3

(2.5/1.2) * 10^5-3

2.08333 * 10^2

Hence, Texas is 2.08333 * 10^2 times the size of Carolina.

Answer:Measure of the angles are 50, 130, 50 & 130

Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.

enter image source here

Let one angle be A

Other adjacent angle b will be 180-a

Given b = 2a + 30. Eqn (1)

As B = 180 - A,

Substituting value of b in Eqn (1) we get,

2

A

+

30

=

180

−

A

∴

3

a

=

180

−

30

=

150

A

=

50

,

B

=

180

−

A

=

180

−

50

=

130

Measure of the four angles are

50

,

130

,

50

,

130

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

Answer:

Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.

Step-by-step explanation: