Identify all points and line segments in the picture below

Answer:

sorry this question is do not understand

Answer:

Since RT is equal to 16, we know that RU would be half that amount since SQ goes directly through the middle.  Therefore RU = 16/2 would just give us 8.

The sequence converges to 5 as n goes to ∞. We can prove this rigorously:

The claim is that, for [tex]n\in\Bbb N[/tex],

[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = 5[/tex]

By definition of the limit, this means for any ε > 0, there exists some N such that for any n larger than N, we have

[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| < \varepsilon[/tex]

In order to ensure this inequality, we work backwards to find N in terms of ε :

[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| = \left| \dfrac{5n-1 - 5(n+1)}{n+1} \right| = \dfrac4{|n+1|} < \varepsilon[/tex]

n is a natural number, so n + 1 > 0 and |n + 1| = n + 1. Then

[tex]\dfrac4{n+1} < \varepsilon \implies \dfrac{n+1}4 > \dfrac1\varepsilon \implies n+1 > \dfrac4\varepsilon \implies n > \dfrac4\varepsilon - 1[/tex]

Let N be the smallest natural number greater than or equal to 4/ε - 1, i.e.

[tex]N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]

Then the proof follows: suppose

[tex]n \ge N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]

Then

[tex]n \ge \left\lceil\dfrac4\varepsilon - 1\right\rceil \implies n > \dfrac4\varepsilon - 1 \\\\ \implies n+1 > \dfrac4\varepsilon \\\\ \implies \dfrac4{n+1} < \varepsilon \\\\\implies \left|\dfrac{5n-1}{n+1}-5\right| < \varepsilon[/tex]

as required.

Or we can avoid the rigor and use some facts we know about limits:

[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = \lim_{n\to\infty} \frac{5-\frac1n}{1+\frac1n} = 5[/tex]

since 1/n converges to 0 as n goes to ∞.

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

Answer:

[tex]1.\; \boxed{\sf x=12^o}[/tex]

[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]

Step-by-step explanation:

1)

Since ∠1 and ∠ (7x-20) are corresponding angle.

So, ∠1 =∠ (7x-20)

and, ∠1 and ∠(5x+16) are vertically opposite angles.

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S0...

[tex]\sf 4x+16=7x-20[/tex]

Subtract 16 from both sides.

[tex]\sf 4x=7x-36[/tex]

Subtract 7x from both sides.

[tex]\sf 4x-7x=7x-36-7x[/tex]

[tex]\sf -3x=-36[/tex]

Divide both sides by -3.

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]

[tex]\boxed{\sf x=12^o}[/tex]

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2)

∠1 and ∠2 are corresponding angles.

S0,

[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]

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Additional info:-

Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.

Vertical angles are angles opposite each other where two lines cross.

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Answer:

x = 12

Step-by-step explanation:

The angles are equal as they are alternate exterior angles.

Solving :

⇒ 4x + 16 = 7x - 20

⇒ 7x - 4x = 16 + 20

⇒ 3x = 36

⇒ x = 12

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.

Given the expression

x^2 - 1 = 399

Add 1 to both sides

x^2 = 399 + 1

x^2. = 400

Take the square root of both sides

x = ±√400
x = ±20

Hence the solution to the given quadratic equation are -20 and 20

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Answer:

your answer is 242 in^2

A=22+52+168

Answer:

x=40,y=22

Step-by-step explanation:

62/2=31

31+9=40

31-9=22

40+22=62

Answer:

[tex]x=3.18[/tex] [tex]cm[/tex]

Explanation:

[tex]x=3.18[/tex] [tex]cm[/tex]

Substitute [tex]y=6 cm[/tex] into  [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]

Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]

sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]

Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]

into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]

Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]

Answer:

Right angles.

Step-by-step explanation:

When an angle's measurements equal 90 degrees, it is called a right angle.

Answer:

Right angles

Step-by-step explanation:

For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.

Answer:

12

Step-by-step explanation

Step-by-step explanation:

[tex]\huge{\color{black}{\fbox{\color{pink}{\colorbox{pink}{\color{red}{Answer ✨☑️}}}}}}[/tex]

The number of terms are 8. Step-by-step explanation: Given : The sum n terms of an A.P is 136 the common difference is 4 and last term is 31.

Answer:

Sn=2n{2a+(n−1)d}

a+(n−1)d=31⇒a=31−4(n−1)

∴136=2n{2[31−4(n−1)]+(n−1)d}

n[70−8n+4n−4]=272

n(66−4n)=272

4n2−66n+272=0

2n2−33n+136=0

2n(n−8)−17(n−8)=0

(2n−17)(n−8)=0

∴n=8

Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

[tex]2x+10=0\\2x=-10\\x=-5[/tex]

[tex]x-7=0\\x=7[/tex]

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]

[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]

[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]

[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Answer:

320

Step-by-step explanation:

20*2 = 40

360 - 40 = 320

Answer:

... There isnt answer choices...

Answer:

the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)

Step-by-step explanation:

this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)

Answer:

8.50

Step-by-step explanation:

it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50

The domain of the given relation will be { - 1,2,3,4}.

The domain of the function is defined as the set of all the possible values of the function.

So here we have the ordered pairs given as:-

{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}

Here the possible values for the input of the functions are { - 1,2,3,4}.

Therefore the domain of the given relation will be { - 1,2,3,4}.

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Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500

Answer:

262 1/2 liters

Step-by-step explanation:

Remaining water in tank :

Answer:

262.5 litres

Step-by-step explanation:

Water taken from the tank

⇒ 11 × 12.5 litres = 137.5 litres

Water left in tank

⇒ 400 - 137.5 = 262.5 litres

Answer:

Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.

Answer:

  40

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. This relation lets you write an equation for x.

__

Clockwise from the bottom, the sum of exterior angles is ...

  90° +(x +35)° +(x +15)° +(2x -20)° +(2x)° = 360°

  120° +6x° = 360° . . . . . . . simplify

  6x = 240 . . . . . . . . . . divide by °, subtract 120

  x = 40 . . . . . . . . . . divide by 6

The value of x is 40.

Answer:

x = 40°

Explanation:

The shape is a pentagon. Any polygon's exterior angles sum up to 360°.

Now, they all sum up to 360° :

⇒ (x + 35) + (x + 15) + (2x - 20) + 2x + 90 = 360°

⇒ x + x + 2x + 2x + 35 + 15 -20 + 90 = 360°

⇒ 6x + 120° = 360°

⇒ 6x = 360° - 120°

⇒ 6x = 240°

⇒ x = 240°/6

⇒ x = 40°

Answer: 6.36lb

Step-by-step explanation:

Step-by-step explanation:

Total Weight of the package = weight of product + weight of box

Weight of empty box =0.88lb

Total weight of the box is =7.24lb

Let Weight of product inside box=w

Let wet of empty box =y

Total weight = F

Then,

F=y+w

Since F=7.24lb. y=0.88

Then, w=F-y

w=7.24-0.88

w=6.36lb

The weight of the product is 6.36lb

hope this helps :)

Answer:

D. octagon

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

d = speed * time

d = s * t

Givens

t = 1 hour

t2 = 3 hours

s = 5 miles / hour

Solution

t = 1 hour

d = s * t

d = 5 mph * 1 hour

d = 5 miles

t = 3 hours

d = s * t

d = 5 miles / hour * 3 hours

d = 15 miles

Answer

d = s * t

d = 5 miles

d = 15 miles

Answer:

50%

Step-by-step explanation:

[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]