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Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?

A. All sides of the quadrilateral must be congruent and all angles must be congruent?

B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

C. The sides of the quadrilateral can be any length and the angles can be any measure.

D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.

Answer:

please check the question, it is not straight forward

The interval of systolic blood pressure will be between 155 to 95

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

From the question, we are told that

Mean  x=125

Standard deviation = 10

The Percentage for men =99.75%

Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 10

Mean x= 125

Generally, the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = Mean ± (3x [tex]\sigma[/tex])

G= 125 ±  (3 x 10)

G= 125 ±  (30)

G = 155 and 95

Hence the interval of systolic blood pressure will be between 155 to 95

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Answer:

Step-by-step explanation:

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

Additional comment

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.

Answer:

hope this will help you (•‿•)

Step-by-step explanation:

[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]

Answer:

slope =.25

Step-by-step explanation:

I assume this is asking to find the slope?

graph this equation and you'll see that the run is 16 and the rise is 4.

rise/run

4/16 = .25

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

Answer:

5.1m

Step-by-step explanation:

Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Applying Distance Formula :

Answer:

(2x + 1) (3x - 4)

Step-by-step explanation:

Solution:

By taking the product between density and volume we will see that the mass is 284.2 kg

Remember that density is the quotient between mass and volume, then:

mass = density*volume.

Here we know that:

Taking the product of these two we get:

mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg

So the correct option is the second one.

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Answer:

284.2 kg my good sir

Step-by-step explanation:

Big brain

Answer:

the correct graph is attached

Step-by-step explanation:

x ≥ 1 means there is a closed dot at 1

and -x + 8 means there should be an y intercept at 8 with negative slope

so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph

Answer:

3/2 or 1.5

Step-by-step explanation:

Finding the gradient

Answer:

gradient = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

[tex]Center =(-1,\: -2),\: radius = 3\: units[/tex]

Step-by-step explanation:

Answer:

well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances

Step-by-step explanation:

formally, there is only one alternative : if not negative, it would be a positive number.

and that would mean

2× -4/5 = x (= a positive number)

2× -4 = 5x (= still a positive number)

-4 = 5x/2 (= still a positive number)

and -4 is definitely not a positive number.

so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

[tex]\rm P = 18500\times (0.95995)^n[/tex]

The linear function describes car 2.

[tex]\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500[/tex]

Then the value of the car 1 after 10 years will be

[tex]\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5[/tex]

Then the value of the car 2 after 10 years will be

[tex]\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33[/tex]

Yes, there is a significant difference.

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Answer:

113

Step-by-step explanation:

26x4=104

1x9=9

104+9=113

Another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

Given the expression for the radius of the circle given as

[tex]r=\dfrac{60}{\pi}[/tex]

We can also express the radius as a decimal instead of a fraction.

Given that π = 3.14, Substitute into the expression of the radius to have:

[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]

Hence another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

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The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

The quotient expression is given as:

[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]

Expand both expressions

[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]

Cancel out the common factors

x + 2

Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

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Answer:

16

Step-by-step explanation:

Answer:

Angle a = 114 Angle b = 114 Angle c = 66 Angle d = 66

Step-by-step explanation:

180 - 48 = 132

132/2= 66

180 - 66 = 114

Answer:

1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11

Answer:

3 and 8

Step-by-step explanation:

Answer:

The length of the wing is 480 centimeters

Step-by-step explanation:

2 cm on the drawing is 192 cm on the acutal wing

2 = 192

divide both sides by 2

1 = 96

since the drawing has a length of five cm, multiply both sides by 5

5 = 480

therefore, 5 cm on the drawing is equal to 480 cm on the actual wing

Answer:

10.6

Step-by-step explanation:

It forms a right angle traingle so use

16^2-12^2=112

and

root of 112=10.5830052443

Answer:

10.6cm  is the radius

Step-by-step explanation:

1)First You square the lateral height (12cm)

                   =144

2)Then you square the height (16cm)

                   =256

3)Then you subtract height squared from lateral height squared

                   256-144=112

4)Then Find the square root from the result of step 3

                   112 squared is 10.58 (round to the nearest tenth)

                                            10.6 is your answer!

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Answer:

The number is 2.

Step-by-step explanation:

You can write this as an algebriac equation, where the "number" is x:

8x - 2 = x + 12

Then, solve for x:

8x = x + 14
7x = 14

x = 2

The number of students that are expected to enroll in the fifth year of the plan is 644.

The formula that can be used to determine the future value of the population is:

FV = P (1 + r)^n

400 x (1.1)^5 = 644

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Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

Answer:

The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.

Answer:

P=2(L+W)

Step-by-step explanation:

p=2(L+W)

    2(2x+1)+2(3x-2)

    4x+2+6x-4

    10x-2

The common difference of the arithmetic sequence is 15.

The correct option is (a)

An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.

The arithmetic sequence is defined as

x:   1     2    3    4    5

y: 8   23   38  53  68

The common difference of the arithmetic sequence is

[tex]d=\frac{y_2-y_2}{x_2-x_1}[/tex]

Let us take any two points: (1,8) and (2,23)

Then, d = [tex]\frac{23-8}{2-1}[/tex]

          d= 15

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Answer:

133.97 cu yds

Step-by-step explanation:

volume is 1/3 x pi x r^2 x h