Find the value of x in the diagram. With working please

Answer:

Step-by-step explanation:

.....

Answer:

a=70 vertically opp angles

b=80  linear pair

c=100   corresponding angles

d= 80 linear pair with c

e=  180 -a-d

=180-70-80

=30

Answer:

25%

Step-by-step explanation:

There's a total of 5+8+7 = 20 marbles.

The chance of picking a blue marble is [tex]\frac{5}{20} =\frac{1}{4} =0.25=[/tex]25%, as there's 5 blue marbles and a total of 20.

Answer:

See Explanation

Step-by-step explanation:

First term = a= -10

common difference=d= -8+10 = 2

n= 98

the 98th term = a+(n-1)d = -10+ (98-1)2

= -10+(97)2 = -10 +194

=184

98th term of the given arithmetic sequence is 184.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is -10, -8, -6,......

Here, a=-10, d=-8-(-10) = 2

So, aₙ=-10+(n-1)×2

aₙ=-10+2n-2

aₙ=2n-12

a₉₈=2×98-12

a₉₈=184

Therefore, 98th term of the given arithmetic sequence is 184.

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Answer:

(3, 6)

Step-by-step explanation:

[tex]y=4x-6[/tex]

[tex]6=4(3)-6[/tex]

[tex]6=12-6[/tex]

[tex]6=6[/tex]

[tex]3y=-2x+24[/tex]

[tex]3(6)=-2(3)+24[/tex]

[tex]18=-6+24[/tex]

[tex]18=18[/tex]

x = 3, y = 6

By substitution method,

[tex]y = 4x - 6[/tex]

[tex]3y = - 2x + 24[/tex]

[tex] \frac{3y - 24}{ - 2} = x[/tex]

[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]

[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 42[/tex]

[tex]y - 42 = \frac{12y}{ - 2} [/tex]

[tex] - 42 = \frac{12y}{ - 2} - y[/tex]

[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]

[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]

[tex] - 42 = \frac{14y}{ - 2} [/tex]

[tex] - 42 \times - 2 = 14y[/tex]

[tex]84 = 14y[/tex]

[tex] \frac{84}{14} = y[/tex]

[tex]6 = y[/tex]

[tex]\frac{3(6) - 24}{ - 2} = x[/tex]

[tex] \frac{18 - 24}{ - 2} = x[/tex]

[tex] \frac{ - 6}{ - 2} = x[/tex]

[tex]3 = x[/tex]

Therefore,

The solution is (3, 6).

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

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Explanation:

Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.

Answer:

- 7/2

Step-by-step explanation:

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Kathy is 18 and Kaity is 6. In six years, Kathy will be 24 and Kaity will be 12.

Good luck :)

Answer:

Katie is 6; Cathy is 18!

Happy learning!

--Applepi101

Answer:

(10, 4, -3)

Step-by-step explanation:

z = -3

y + z = 1

y - 3 = 1

y = 4

x + y - z = 17

x + 4 - -3 = 17

x + 4 + 3 = 17

x + 7 = 17

x = 10

(10, 4, -3)

Answer:

(10,4,-3)  

Step-by-step explanation:

(x,y,z)

z= -3 given

y+z = 1 (equation 2)

y-3 =1

y=4 (solve 2 after substation)

eq #1 : x + 4 - (-3) = 17

x+4+ 3 = 17

x+ 7 = 17

x=10

(10,4,-3)  

Answer:

60

Step-by-step explanation:

Product of the two numbers = HCF* LCM

[tex] \therefore \: 180 = 3 \times lcm \\ \\ \therefore \: lcm = \frac{180}{3} \\ \\ \therefore \: lcm = 60[/tex]

Answer:

b

Step-by-step explanation:

Answer:

La M representa la pendiente de la recta y la b representa la intersección con el eje y

Step-by-step explanation:

Que tengas un excelente verano :)

Respuesta: En la ecuación y= mx + b, “m” representa la pendiente y “b” representa el y-intercept.

Espero que esto ayude, buena suerte! :D

Answer:

(24x^2 + 14x – 20) /(3x+5) =  h

Step-by-step explanation:

The area of a trapezoid is given by

A =1/2 (b1+b2) h

12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h

Multiply each side by 2

24x^2 + 14x – 20 =  ( x+3+ 3x+2)h

Combine like terms

24x^2 + 14x – 20 =  ( 4x+5)h

Divide each side by (4x+5)

(24x^2 + 14x – 20) /(4x+5) =  ( 4x+5)h/(4x+5)

(24x^2 + 14x – 20) /(4x+5) =  h

Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)

Answer:

35 cm

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

h = 147x2 / (5.3 + 3.1) = 35cm

Answer:

[tex]y=2\sqrt{10}[/tex]

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

[tex]\frac{AD}{DB}=\frac{DB}{CD}[/tex]

By substituting values in the given ratio,

[tex]\frac{5}{y}= \frac{y}{8}[/tex]

[tex]y^2=8\times 5[/tex]

[tex]y^2=40[/tex]

[tex]y=2\sqrt{10}[/tex]

Exact value of y is [tex]2\sqrt{10}[/tex].

Answer:

Step-by-step explanation:

Answer:

146 adult tickets were sold

Step-by-step explanation:

subtract 73 from 573 which = 500

then you'll take away 500 from 73 =427

then you will subtract 427 from 573= 146

Answer:

[tex]1) y=-6[/tex]

[tex]2)x=3[/tex]

[tex]3) y=8[/tex]

[tex]4)a=8[/tex]

Step-by-step explanation:

[tex]4y+24=0[/tex]

subtract 24 from both sides

[tex]4y=-24[/tex]

divide both sides by 4

[tex]y=-6[/tex]

---------->>>>

[tex]15+3=6x[/tex]

combine like terms

[tex]18=6x[/tex]

divide both sides by 6

[tex]3=x[/tex]

---------->>>>

[tex]9y-72=0[/tex]

add 72 to both sides

[tex]9y+72[/tex]

divide both sides by 9

[tex]y=8[/tex]

---------->>>>

[tex]8a=75-11[/tex]

combine like terms

[tex]8a=64[/tex]

divide both sides by 8

[tex]a=8[/tex]

--------------------------------------------

Hope this is helpful.

Answer:

area: 454.2 sq.cm

perimeter: 77.7 cm

Step-by-step explanation:

to find area, find the area of all the separate shapes and add them together:

semi-circle:

radius is 12 cm

area = [tex]\frac{\pi (12)^2\\}{2}[/tex] = 226.2 sq.cm

separate the trapezoid into two right triangles and a rectangle.

area for triangles:

[tex]\frac{1}{2}[/tex](5)(12) = 30

30 x 2 = 60 sq.cm (since there are two triangles)

area for rectangle:

12 x 14 = 168 sq.cm

area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm

for perimeter, just add the length of the exterior sides together.

we have some unknown sides, such as the semicircle and the sides of the trapezoid

we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem

[tex]5^2 + 12^2 = c^2[/tex]

[tex]25 + 144 = c^2[/tex]

[tex]169 = c^2[/tex]

[tex]\sqrt{169} =\sqrt{c^2}[/tex]

c = 13 cm

to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half

[tex]\frac{2\pi12}{2}[/tex] = 37.7 cm

now add it all up:

14 + 13 + 13 +37.7 = 77.7

Answer:

55

Step-by-step explanation:

The values of the x are -6.59, and -9.42 if the  quadratic equation is (x + 8)² - 2 = 0.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Solve for x.

Enter the solutions from least to greatest. Round to two decimal places.

(x + 8)² - 2 = 0

It is given:

(x + 8)² - 2 = 0

Using (a + b)² = a² + 2ab + b²

x² + 16x + 64 - 2 = 0

x² + 16x + 62  = 0

Compare with the standard form of the equation:

a = 1

b = 16

c = 62

Plug the above values in the formula:

[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]

x = [-16 ±√8]/2

x = [-16 ±2.83]/2

Take + sign:

x = [-16 + 2.83]/2

x = -6.59

Take - sign:

x = [-16 - 2.83]/2

x = -9.42

Thus, the values of the x are -9.42, and -6.59 if the  quadratic equation is (x + 8)² - 2 = 0.

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Answer: 120m2

Step-by-step explanation:8x11=88

19-11=8- length of triangle base. 1/2 base x height= 4x8=32

32+88=120m2

Answer:

the answer is (d)!! hope this helps

Step-by-step explanation:

Answer:

The length of each piece is 13 m.

Step-by-step explanation:

Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?  

a) Each piece measures 312m

c) Each piece measures 13m

d) each piece mites 92m

b) Each piece measures 9m and 75cm

Total length, L =  78 m

Number of pieces, n = 6

length of each piece,

d = L/n = 78/6 = 13 m

So, the correct option is (c).  

Answer:

4x² - 10x - 6

Step-by-step explanation:

(x-3)(4x+2)

4x² + 2x - 12x - 6

4x² - 10x - 6