What's the area of a trapezoid

The value of x that makes ABCD a parallelogram is C. x = 70°.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

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Answer:

2h3-r5

Step-by-step explanation:

first 3-2=5

then 2h3-r=2h3-r5

finally 2h3-r5

Answer:

3.28653¯V7h

Step-by-step explanation:

We should multiply the expression by (9+√14) fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is; (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                       =  (5-√7)(9+√14)/(9²-14)

                      = (45 + 5√14 - 9√7 - √98)/(81-14)

                       =  (45 + 5√14 - 9√7 - √98)/67

                       = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

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Answer:

She will need 21.3 total wire.

Answer:

21.26 ft

Step-by-step explanation:

For calculating, you need to use the Pythagorean theorem:

length of one cable = [tex]\sqrt{7^2+8^2}[/tex]= 10,63 ft

length of two cable = 10,63*2 = 21,26 ft

Answer:

The probability of drawing exactly one blue marble is 15 over 32

Step-by-step explanation:

did test

Answer:  sorry i dont know this

Step-by-step explanation:

Answer:

Step-by-step explanation:

Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:

[tex]37^2=12^2+b^2[/tex] and

1369 = 144 + b² and

1225 = b² so

b = 35

The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

Answer:

B) 28 in

Step-by-step explanation:

Pythagorean thm formula:

a² + b² = c²

Given:

b = 45

c = 53

Work:

a² + b² = c²

a² + 45² = 53²

a² + 2025 = 2809

a² = 2809 - 2025

a² = 784

[tex]\sqrt{a^2} =\sqrt{784}[/tex]

a = 28

Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]

[tex]y=\dfrac{-3}{3}(x+3)[/tex]

[tex]y=-1(x+3)[/tex]

[tex]y=-x-3[/tex]

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

[tex]y\geq -x-3[/tex]

Therefore, the required inequality is [tex]y\geq -x-3[/tex].

It 's c my friend

okayyyyyyyyyyyyyyy

Step-by-step explanation:

[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]

Answer:

No

Step-by-step explanation:

[tex]7x-4y>-4[/tex]

[tex]7(-9)-4(7)>-4[/tex]

[tex](-63)-(28)>-4[/tex]

[tex](-91)>-4[/tex]

[tex](-9,7)[/tex] is not a solution to the system of inequality

Answer:

The answer is

B

D

F

Step-by-step explanation:

Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.

Answer:

Option B

Step-by-step explanation:

By plotting the points given in the table,

All points lie below the dark red line.

Let the equation of the line is,

y - y' = m(x - x')

Here, m = Slope of the line

(x', y') is a point lying on the given line.

Slope of the line passing through two points (-1, 3) and (0, 1) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{3-1}{-1-0}[/tex]

m = -2

Therefore, equation of the line passing through (0, 1),

y - 1 = -2(x - 0)

y = -2x + 1

Since all the points given in the table lie below the dark red line so the solution are will be,

y ≤ -2x + 1

Option B will be the correct option.

Answer:

The value of the mutual force between them is 3.6 x 10⁶ N

Step-by-step explanation:

Given;

distance between the two-point charges, r = 2000 m

the value of the two-point charges, q₁ and q₂ = 40 C and -40 C

Coulomb's constant, k = 9 x 10⁹ Nm²/C²

The value of the mutual force between them is calculated by applying Coulomb's law;

[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]

Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.

Answer:

math.way

Step-by-step explanation:

Answer:

Step-by-step explanation:

y^2=49

y=[tex]\sqrt{49}[/tex]

y=7

Answer:

36:45

Step-by-step explanation:

$81. u add the ratios 4+5=9

$81/9=9

9*4=36

9*5=45

Answer:

400 miles per hour

Step-by-step explanation:

8000 miles         ÷  20   =        400   Miles

20 hours            ÷  20     =         1     hour

Answer:

13Y

Step-by-step explanation:

7+6 = 13

Answer:

Step-by-step explanation:

7y+6y

y(7+6)

y*13

13y

Or

since they are like term u simply add them

7y+6y

13y

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

Given:

The graph of a function.

To find:

The average rate of change of h over the interval [tex]5\leq t\leq 9[/tex].

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

So, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is:

[tex]m=\dfrac{h(9)-h(5)}{9-5}[/tex]

From the given graph it is clear that [tex]h(9)=7,h(5)=3[/tex]. Substituting these values, we get

[tex]m=\dfrac{7-3}{9-5}[/tex]

[tex]m=\dfrac{4}{4}[/tex]

[tex]m=1[/tex]

Therefore, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is 1.

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Answer:

XZ = 26.7

ZY = 11.7

Area =  140.4 sq inches

Step-by-step explanation:

m∠Z = 180-(26+90) = 64°

to get XZ you can use the law of sines:

sin 90°/XZ = sin 64°/24

1/XZ = sin(64°)

cross-multiply to get:

XZ·sin(64°) = 24

XZ = 24/sin(64°)

XZ = 26.7

to get ZY you can use the law of sines again:

sin 64°/24 = sin 26°/ZY

cross-multiply to get:

ZY·sin(64°) = 24·sin(26°)

ZY = 24·sin(26°) ÷ sin(64°)

ZY = 11.7

Area = 1/2(11.7)(24)

= 12(11.7)

= 140.4 sq inches

Answer:

Step-by-step explanation:

Here,

3x - 5

There is 3 as coefficient of x and -5 constant.

Hence,

Option D is correct

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3