In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z?

Answer:

just sum up the 3 sides.

quick side note: I lost my previews writing bc I waited too long too post it :(

but long story short: you get the length of, say, AB by using pythagoras theorem.

[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]

do this with BC and CA too

the 2 is just the distance in x-direction and the 6 is just the distance in y-direction

and since a²+b²=c², we need to take the root to get the distance between 2 points

see screenshot for summing up the three distances. the part out of screen is written out above

the sum is 21.011 length units

hope it helps. have a nice day.

feel free to ask questions.

and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least

Answer:

a² + 16a - 612 = 0

Step-by-step explanation:

Here is the complete question :

The width of an extra large rectangle poster is 8 inches more than half its length. The area of this poster is 306 square inches

Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.

Area of a rectangle = length x width

Let length = a

width = 8 + 1/2a

Area =  (8 + 1/2a) x a

306 =  (8 + 1/2a) x a

multiply both sides of the equation by 2

612 = 16a + a²

a² + 16a - 612 = 0

the dimensions of the poster can be determined using quadratic formula

Answer:

Part A

positive=132

negative=220

Part B=88

Step-by-step explanation:

Part A

3:5

positive: negative

3+5=8

352/8=44

3x44=132 positive or 3/8 of 352

5x44=220 negative 5/8 0f 352

Part B

220

-132

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

     88

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.

Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation:

Answer:

Your answer for the above equation is D

Answer:

1- c=(-2,1) , R =9

2-c=(2,-1) , R=3

3-c=(-2,-1) , R=4

4-c=(2,1) , R=16

5-c=(0,0) , R=2

Answer:

60%

Step-by-step explanation:

Fruit = 10+15 = 25

Percent oranges = oranges / fruit

                             = 15/25 = .6 = 60%

Answer:

3

Step-by-step explanation:

-17 = -2y + 13 - 8y

-17 = -10y + 13

-30 = -10y

3 = y

y = 3

Answer:

y = 3

Step-by-step explanation:

- 17 = - 2y + 13 - 8y

- 10y + 13 = - 17

- 10y + 13 - 13 = - 17 - 13

- 10y = - 30

- 10y ÷ - 10 = - 30 ÷ - 10

y = 3

Answer:

C) 2+4^4x

Step-by-step explanation:

A) 2^(4x+2) = 2^4x • 2² = 16^x • 4

B) 4 • 16^x = 16^x • 4 (already done)

D) 2^2 • 4^x (over) 4^-x

= 4 • 4^x • 4^x = 16^x • 4

E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4

Answer:

C. 9.9 in.

Step-by-step explanation:

Step-by-step explanation:

Alright, lets get started.

Area is given as 49 square inches.

The formula for area A =  

base is given as x

Height is given as x

Hence area is A

A =  

Multiplying 2 in both sides

Taking square root on both sides

hence the answer is x = 9.9 in   :  Answer

Hope it will help :)

The value of x is 9.9 in.

Solution:

The given image is a triangle.

Base of the triangle = x

Height of the triangle = x

Area of the triangle = 49 sq. in

To find the value of x:

Area of the triangle =  

Substitute the given values in the formula.

Multiply by 2 on both sides, we get

Taking square root on both sides, we get

⇒ x = 9.9 in

Hence the value of x is 9.9 in.

Area of the circular sidewalk around flowerbed is 207.24 m² .

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 19m

radius = diameter/2 = 19/2 = 9.5 m

Area of flower bed A

= πr²

= 3.14(9.5)²

= 3.14(90.25)

= 283.385 m²

width of the sidewalk = 3m

radius of flower bed with sidewalk = 9.5 + 3 = 12.5m

Area of flower bed with sidewalk A'

= 3.14(12.5)²

= 3.14(156.25)

= 490.625 m²

Area of the sidewalk

= A' - A

= 490.625 - 283.385

= 207.24 m²

Hence, 207.24 m² is area of the circular sidewalk around flowerbed.

Learn more about area here:

brainly.com/question/27683633

#SPJ7

Answer:

Its D

Step-by-step explanation:

Answer:

x=5, y=11

Step-by-step explanation:

> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°

>we know that the opposite angles are congruent so ...

>we have the sum of interior angles is

108+108+7y-5+7y-5 = 360, combine like terms

14y +206 =360, subtract 206 from both sides

14y = 154, divide both sides by 14

y= 11

>the sides are congruent therefore

4x+17 = 8x-3 , subtract 4x, and add 3 from both sides

17+3 =8x-4x, combine like terms

20 = 4x , divide by 4 both sides

5 =x

Answer:

x =145/129

Step-by-step explanation:

129x-33=112

Add 33 to each side

129x-33+33=112+33

129x = 145

Divide each side by 129

129x/129 = 145/129

x =145/129

[tex] 4 {x}^{2} + 20x + 16[/tex]

Step-by-step explanation:

[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

Step-by-step explanation:

f(9)=5(9-3)(9-2)

=5*6*7

=210

Answer:

f(9) = 210

Step-by-step explanation:

In f(x) = 5(x-3)(x-2), replace each instance of x with 9:

f(9) = 5(9-3)(9-2), or:

       =5(6)(7) = 210

Answer:

74 degrees

Step-by-step explanation:

As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

The third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].

The sequence exists in a particular order in which connected things follow each other.

The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2

Second term b will be [tex]$-2*6+13=1$[/tex]

The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]

So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]

If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]

If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]

So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.

Therefore, the third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex]  exists reversed will be [tex]$\frac{a-13}{6}$[/tex].

To learn more about sequence

https://brainly.com/question/12200498

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Answer:

The correct answer would be D

9x=5(x=35)

Step-by-step explanation:

If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.

Answer:

-10a + 2b - 3c

Step-by-step explanation:

hope this helps :)

Answer:

139 degrees

Step-by-step explanation:

we only have a central angle here (angle at the center of the circle).

and that angle remains the same along these 2 lines all the way out to the circle arc (and beyond, wherever these 2 lines take us).

so, if there is nothing missing in this graph, then x is the same as the inner angle : 139 degrees

Answer:

nth term = the previous number times 4(x-1)

Step-by-step explanation:

As you see the first tower has 1 then it is 5 for the next tower and then it is 13 for the next tower and then 25. Well this means that as you see, the expressions adds 4 to the previous 4 and then adds to the tower. Let me show you how it works.

Tower 1: 1

Tower 2: 1 + 4 = 5

tower 3 : 5 + 8 = 13

tower 4: 13 + 12 = 25

tower 5: 25 +16 = 41

Answer:

A

Step-by-step explanation:

Tangents that are both tangent to a same point equal each other. sk

[tex]2x + 70 = 128[/tex]

[tex]2x = 58[/tex]

[tex]x = 29[/tex]

Answer:

352 m

Step-by-step explanation:

The area of a trapeze is (the biggest base + the smallest base) × height / 2

The area from rectangles are side a × side b

Trapeze: (6+12)×4/2 = 36

Rectangles: 5 × 10 = 50

6 × 10 = 60

12 × 10 = 120

There are two trapeze andtwo rectangles with the samesize, so you double their area:

2×36 + 2 × 50 + 60 + 120 = 352 m