15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answer: The triangles are congruent by the HL theorem

HL = hypotenuse leg

======================================================

Explanation:

Through the segment addition postulate, we can say:

WZ = WT+TZ

YT = TZ+ZY

Notice how both WZ and YT have TZ as part of their segments.

Since WZ and YT are the same length, we can then say,

WZ = YT

WT+TZ = TZ+ZY

WT = ZY

I used substitution for the second step.

The last step is where I subtracted TZ from both sides, and they canceled out.

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

We have the following info:

Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.

However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2  is the H.

HL = hypotenuse leg

Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer:

A

[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]

Answer:

90 cm^3

Step-by-step explanation:

V=LxWxH

V= 10(3)(3)

=90 cm^3

Answer:

120 minutes

Step-by-step explanation:

Jelisa walked 6 miles in 90 minutes

The amount of mile walked in 1 minutes is

= 6/90

= 0.0666666

If she walks 0.066666 miles in 1 minute then in for 8 miles she travels

= 8/0.066666

= 120 minutes

X = 38

2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:

2x + x + 66 = 180 -- combine like terms

3x + 66 = 180 -- subtract 66 from both sides

3x = 114 -- divide by 3 on both side

x = 38

Answer:

{5, 20, 45, 80, 125} = 5{1, 4, 9, 16, 25} = 5{1², 2², 3², 4², 5²}

→ U{n} = 5n²

Step-by-step explanation:

Answer:

the length of the other sides are

4 m and 5 m

Step-by-step explanation:

the area of right triangle = ½× b x h = 6

let b = 3m => h= 2×6/ 3 = 4m

and the hypotenuse = √3²+4²=√25= 5m

Answer:

5m and 4m

Step-by-step explanation:

(area of a right angle triangle)=1/2×b×h

let b = 3m

1/2×6×2=6×2=12/3=4m

and it's hypotenuse= 3

[tex]3 { }^{2} + 4 {}^{2} = \sqrt{25 {}^{2} } [/tex]

= 5m

Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )

⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)

xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)

⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)

Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30

me lười làm khúc dưới quá nên tự xử nha.

Answer:

201.06

Step-by-step explanation:

A=2πrh+2πr2

Answer:

-45&-5 or -49&-1

Step-by-step explanation:

-45+(-5)

= -50

-49-1

= -50

Answer:

√

√

√

√

√

Step-by-step explanation:

1st row

Growth

2nd row

decay

equation for first figure=2x+y=2

equation for second figure= 4x-y=8

(use formula x/a+y/b=1)

where, a=x component and b= y component..

Answer:

5a) -8 .     Plan : addition/negative?

5b) -30 .   Plan: subtraction/negative?

Step-by-step explanation:

Im not so sure about what "Plan" means, hopefully you know..

5a)

-15 + 7 = 7 - 15 = -8

5b) -10 +(-20) = -10 - 20 = -30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Below

Step-by-step explanation:

So lets start with the first one:

-15+7

We are going to add these together, and will get -8.

Next we have:

-10+(-20)

When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.

So we can think of this as:

-10-20

And since the -10 is negative, and we are subtracting it, it is going to get more engative:

-10-20=-30

This is the solution answer.

I do not know what the answer to the plan is, i dont understand what plan means.

Answer:

x -5y (y -3)=0

Explanation :

x -5y= -15

X- 5y+ 15=0

factorizing

x -5(y-3) =0

Answer:

There is no answer because you cannot get the sum of 3 odds to make an even number.

Step-by-step explanation:

Hope this helps,

Answer:

c

Step-by-step explanation:

Answer: median

I say this as the mean would be too off due to the one outlier (it's best used when there are multiple outliers), and the range wouldn't make sense as a mid-measurement.

Answer:

11  1.6

12  Mauricio

Step-by-step explanation:

11.  Take the absolute value of each number to determine which is furthest from zero

|-1.5| and |1.6|

1.5  and 1.6

1.6 is greater than 1.6  so it is further from 0

12.  The fastest time is the smallest time

The ones place all has 7's so look at the tenths place

The smallest number will have the fastest time

Mauricio has a 2 which is the smallest number

Mauricio has the fastest time

Answer:

V = 288π units³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or

V = (4π/3)(216 units³), or V = 288π units³

Answer:

x = 47.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta  = adj / hyp

cos x = 8.8 / 13

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1( 8.8 /13)

x = cos ^-1( 8.8 /13)

x =47.39633319

Rounding to the nearest tenth

x =47.4

Answer:

36.9 degrees

Step-by-step explanation:

using SOHCAHTOA we can see that we need to use cos because the sides that are given are the adjacent side and the hypotenuse so u have to divide the adjacent by the hypotenuse which is 8.8/13 and you should get 0.8 after you round to the nearest tenth and then you use your calculator to do cos^-1 (0.8) and you get 36.9 after you round to the nearest tenth of a degree

15- .08

16- 5.6

17- 7/100

18- 3 1/2

19- 2 4/100

Answer:

2

Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

answer

Three points not lying on the same line define one and only one plane that they all belong to

Answer:

33 years

Step-by-step explanation:

I think you might have made a typo, but it would still be 33 if the mean age stays the same.

Answer:

17.1972degrees

Step-by-step explanation:

length of an arc = theta/360 * 2πr

Substitute the given angle;

1.2 = theta/360 * 2(3.14)(4)

1.2 = theta/360 * 25.12

1.2/25.12 = theta/360

0.04777 = theta/360

theta = 360 * .04777

theta = 17.1972

Hence the required angle is 17.1972degrees

Answer:

1, 2, and 4 are true statements.

Step-by-step explanation:

1. The positive symbols will become negative once you removed the parenthese. For instance, 2-(3+2)=2-3-2. It’s the same in this problem. 4-2(3+7)=4-(2•3+2•7)=4-2•3-2•7

2. Distributive property. 4-2(3+7)=4+[-2(3+7)]=4+(-2•3+-2•7)

3 is false because the positive symbol is not changed into negative symbol after the parentheses were removed.

4. 4-2(3+7)=4-[2(3+7)]=4-(2•3+2•7)

Answer:

58

Step-by-step explanation:

Answer:

9x6+4 = 58

Step-by-step explanation:

9×6 + 4

= 54 + 4

= 58

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Step-by-step explanation:

g (f(x)) = 4(2x⁴+10)-15

= 8x⁴+40-15

= 8x⁴+25