Please help I have a test on this tomorrow

the diagonals of a parallelogram bisect each other

2x=x+2

x=2

Hence the value of x is 2.

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Opposite or opposite sides of a parallelogram have equal lengths, and opposite angles of a parallelogram are equal. The congruence of opposite and opposite angles is a direct consequence of the Euclidean parallel postulate, the Euclidean parallelism The condition cannot be proved without resorting to the line postulate or one of its equivalent formulations.

A parallelogram with base b and height h can be divided into trapezoids and right triangles and converted into rectangles as shown in the left figure. This means that the area of ​​a parallelogram is equal to the area of ​​a rectangle with the same base and height.

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Answer:

b=(28+a²)^½

Step-by-step explanation:

but i couldnt find the numerical value of b since the value of a wasn't given

Answer:

60%

Step-by-step explanation:

60% of 35  = 21

Answer: -7.875

Step-by-step explanation:

The explicit definition of the given geometric sequence is a(n) = 909 (4/3)ⁿ⁻¹.

Given is a geometric sequence,

a(n) = 909, if n = 1

a(n) = 4/3 a(n-1) if n > 1

The explicit formula for a geometric sequence is,

a(n) = a(1) rⁿ⁻¹

Here a(1) is the first term and r is the common ratio.

Here, a(1) = 909

r = a(2) / a(1) = 4/3 × 909 / 909 = 4/3

Explicit formula is,

a(n) = 909 (4/3)ⁿ⁻¹

Hence the required definition is a(n) = 909 (4/3)ⁿ⁻¹.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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HEY CASS

Answer:

Well......

Hey

Hi

Hello

I'm to lazy to put anything else but...

You look Beautiful today ❤

Given:

Quantity=3722 ; Total quantity=25746

Let the percentage be 'x'

14.5% of 25746 is 3722.

Answer:

6 and -2

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

The volume of the cylinder having diameter 12 cm and height of 4 cm is 452 \(cm^{3}\).

Given diameter of cylinder be 12 cm and height of cylinder be 4cm.

We are required to find the volume of cylinder.

Volume is the quantity of substance a container can hold in its capacity.

Diameter=12 cm

Radius=6 cm (Radius is always equal to half of diameter)

Volume of cylinder=π\(r^{2} h\)

We have to just put the values of r, h and π in the formula to get the volume of the cylinder.

Volume=π\((6)^{2} 4\)

=3.14*4*36

=452.57 \(cm^{3}\)

After rounding off we will get 452 \(cm^{3}\).

Hence the volume of cylinder is 452 \(cm^{3}\).

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Question is incomplete as it should include height of cylinder be 4cm.

The scale factor of abcde to zyxwv is obtained dividing one side length of zyxwv by the equivalent side length of abcde, for example:

k = zy/ab.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The figures for this problem are given as follows:

Hence the scale factor of abcde to zyxwv is obtained dividing one side length of zyxwv by the equivalent side length of abcde, for example:

k = zy/ab.

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Answer: √177

Step-by-step explanation:

6²+9²=c²

36+81=c²

117=c²

√117=√c²

√177 = c

(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

\(\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}\)

          \(\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3\)

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

Step-by-step explanation:

10x + 6p

Hi there !

4x + 3p + 3p + 6x =

= (4x + 6x) + (3p + 3p)

= x(4 + 6) + p(3 + 3)

= x·10 + p·6

= 10x + 6p

Good luck !

Answer:

segment AC is equal to A''B'' over 2

Step-by-step explanation:

Given that,

Scale factor = 2

The coordinates of A is (-3,3)

The coordinates of B is (1,-3)

The coordinates of C is (-3,3)

We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.

So.

\(\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}\)

It means, segment AC is equal to A''B'' over 2 is the correct answer.

∠DAC = 28°

∠BAC = 56°

PL = 20

BD =​ 31

Bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector.

An angle bisector divides an angle into equal angles. If the angle is p°, the two angles made will be (p/2)°. This angle bisector passes through the vertex of an angle.

Example: Consider an Angle ∠ABC = 90°. An angle bisector will cut it into two equal angles of 45° each.

Given, AD bisects ∠BAC

MP = 20

DC = 31

∠BAD = 28°

AD bisects ∠BAC

⇒ ∠BAD = ∠DAC

⇒ ∠DAC = 28°

∠BAC = ∠BAD + ∠DAC

∠BAC = 28° + 28°

∠BAC = 56°

Since, In a figure, sides opposite to the equal angles are also equal

∠BAD = ∠DAC

⇒ BD = DC

⇒ BD = 31

⇒ BD = 31

By the figure,

∠MAP = ∠BAD and ∠PAL = ∠DAC

⇒ ∠MAP = ∠PAL

⇒ MP = PL

⇒ PL = 20

Hence, by the above calculation the measure of ∠DAC = 28°,

∠BAC = 56°, PL = 20, BD = 31.

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Answer:

x=110

Step-by-step explanation:

You can set the equation up like this:

100=x-10

Make x by itself

x=110

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

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Answer:

 10

Step-by-step explanation:

\(\mathrm{Apply\:rule}:\quad \:a-\left(-b\right)=a+b\)

\(-6-\left(-16\right)=-6+16\)

\(=-6+16\)

\(\mathrm{Add\:the\:numbers:}\:-6+16=10\)

Hence, Answer = 10

~Lenvy

Answer:

50.4 or 50.4%

Step-by-step explanation:

decimal calculator to find what's an equivalent decimal for the fractional number 252/5. 50.4 is a decimal and 5040/100 or 5040% is the percentage for 252/5.

Answer:

Step-by-step explanation:

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The equivalent expressiοn in the given οptiοns is -13/14t - 17/12.

In mathematics, an expressiοn that incοrpοrates variables, cοnstants, and algebraic οperatiοns is knοwn as an algebraic expressiοn (additiοn, subtractiοn, etc.). Terms cοmprise expressiοns.

The cοncept οf algebraic expressiοns is the use οf letters οr alphabets tο represent numbers withοut prοviding their precise values. We learned hοw tο express an unknοwn value using letters like x, y, and z in the fundamentals οf algebra. Here, we refer tο these letters as variables. Variables and cοnstants can bοth be used in an algebraic expressiοn. A cοefficient is any value that is added befοre a variable and then multiplied by it.

frοm the questiοn:

We can simplify the given expressiοn as fοllοws:

-8/7t + 4/12 - (-3/14t + 7/4)

= -8/7t + 1/3 - (-3/14t + 7/4) (4/12 = 1/3)

= -8/7t + 1/3 + 3/14t - 7/4 (dοuble negative becοmes pοsitive)

= (-16/14)t + (2/6) + (3/14)t - (49/14)

= (-24/14)t - (47/14) (cοmbining like terms)

= (-12/7)t - (47/14) (simplifying)

The equivalent expressiοn in the given οptiοns is -13/14t - 17/12.

Thus, the apprοpriate chοice is:

negative 13 οver 14 times t minus 17 οver 12

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Answer:

Using

Step-by-step explanation:

SOH CAH TOA

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tan = opposite/adjacent

Answer:

Step-by-step explanation:

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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