If m∠RQS=22x-11 and m∠RQT=12x-8, find m∠TQS

Answer:

ΔAOK ≅ ΔBOL by SAS

Step-by-step explanation:

Hello there!

We are given:

Line segment AB intersects line segment KL at point O

O is the midpoint of AB

O is the midpoint of L

We want to prove that ΔAOK is congruent to ΔBOL

From the given picture, line segments AK and LB don't exist, but we can draw them in

Once we've drawn them in, we can use the given information to help us

Since O is the midpoint of AB, AO = OB by the definition of a midpoint

O is also the midpoint of LK, and because of that, LO=OK, also because of the definition of a midpoint

Since O is the intersection of AB and KL, that means that O would help form the vertical angles <LOB and <KOA (which are congruent because of vertical angles theorem)

Now, we have 2 sides and an angle which are congruent.

In the answer, we already have ΔAOK filled in

Remember that when naming congruent triangles, the congruent pieces need to match

A corresponds with B

O corresponds with O

K corresponds with L

So, that means ΔAOK ≅ ΔBOL

The reason is because of SAS (side-angle-side). The reason why it's SAS is because we have 2 pairs of congruent sides and one angle which is congruent

Please see the picture below if you'd like a visual aid

Hope this helps!

Answer:

[tex]5^{1/6} =2x[/tex]

Step-by-step explanation:

Log and exponential forms are inverses. Additionally, the information from one can be used to write in it another form. In a log equation, there are three parts. The formula is [tex]log_{b}(x)=y[/tex]. The formula for exponential equations is [tex]b^y=x[/tex]. This means to find this equation in exponential form write 5 as the base, 1/6 as the power, and 2x as the other side of the equation. This looks like, [tex]5^{1/6} =2x[/tex].

Answer:

Sum is 14

Step-by-step explanation:

ummmm where is equation

my own

2x = 9 and x = 3

it shld be 3x instead of 2x

Answer:

6

Step-by-step explanation:

[tex]\frac{-5}{k} + 1\\\frac{-5}{-1} + 1\\5+1 = 6[/tex]

Answer:

1.5 as a fraction is written as 3/2

Step-by-step explanation:

The ratio 1.5 which is read "1.5 to 1" means that the length is 1.5 times the width. So, for example if your paper is 2 inches in width then the length is 1.5 × 2 = 3 inches.

Answer:

5

Step-by-step explanation:

H                       15                          J

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

         5           I                10

15-10 =5

Answer:

b.a list of numbers

Step-by-step explanation:

bbbbbbbbbbbbbbbbbb

Answer:

2/1 or 2

Step-by-step explanation:

-8/-4= 8/4= 4/2= 2/1

Hope this helps!

If correct pls mark brainliest:)

Both negatives will eliminate each other, and 8/4 is 2.

Answer:

do 36+23+33 out of 130 then you find the answer

Answer:

30

Step-by-step explanation:

16/54 as a percentage is 29.6296%. round up to get the nearest whole number.

29.6296 rounded up is 30

Answer:

16 = 30% of 54

Step-by-step explanation:

16/54 =x/100

(16/54)(100%) = x

(0.296)(100%) = x

29.6% = x

30% = x

Answer:

triangle

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

Answer:

the answer is A

Step-by-step explanation:

Answer:

26, 33

Step-by-step explanation:

rule is to add 7 everytime

next 2 numbers are 26, 33

Here let's use python to find our median.(Console attached)

Spare way:-

Let's use statistics

[tex]\\ \sf\longmapsto Median=\dfrac{n}{2}+\dfrac{n+1}{2}[/tex]

[tex]\\ \sf\longmapsto Median=\dfrac{10}{2}+\dfrac{10+1}{2}[/tex]

[tex]\\ \sf\longmapsto Median=5th+6th/2[/tex]

Order from largest to smallest

[tex]\\ \sf\longmapsto Median=\dfrac{150+149}{2}[/tex]

[tex]\\ \sf\longmapsto 149.5[/tex]

Answer:

Midpoint = (1,2)

Step-by-step explanation:

Using coordinates: D(-2,3) and L(4,1)

Using the midpoint formula:

Midpoint of DL = (D1 + L1) / 2, (D2 + L2) / 2

Midpoint of DL = (-2 + 4) / 2, (3 + 1) / 2

Midpoint of DL = (2) / 2, (4) / 2

Therefore the midpoint of DL is (1,2)

Answer:

cool

Step-by-step explanation:

Answer:

No problem happy to help.

Answer:

as x -> -∞, y-> ∞ and as x-> ∞, y -> -∞  - Second option

Step-by-step explanation:

If you look carefully to the left, when x becomes negative the y value becomes positive. On the right, x becomes positive and y becomes negative.

Answer:

A

Step-by-step explanation:

y=4x+7

The change in the amount of water in the pool is the difference between the amount of water that enters and leaves the pool

Change in volume of water in the pool after 112 minutes is [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Reason:

The given parameters are;

The volume volume of entering the pool = 10 3/4 gallons per minute

The volume of water leaving the pool = 12 1/3 gallons per minute

Required:

The change in the amount of water in the pool after 112 minute

Solution:

The volume of water, V₁, that enters the pool in 112 minute is given as follows;

The volume of water, that enters the pool, V₁ = 1,204 gallons

The volume of water, V₂, that  leaves the pool in 112 minute is given as follows;

The volume of water, that that leaves the pool, V₂ = 1,381[tex].\overline 3[/tex] gallons

The change in the amount of water in the pool after 112 minutes, ΔV, is given as follows;

ΔV = V₁ - V₂

Change in volume of water in the pool after 112 minutes, ΔV = [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Learn more here:

https://brainly.com/question/17037198

Step-by-step explanation:

Solution

Number of rows = number of columns = r

:: r × r = 1296

In other words,

r square 2 = 1296

now solve in prime factorization,

the answer is 36

Answer: 16.25 or 16 1/4 miles a week

Step-by-step explanation:

Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.

3.25 x 5 = 16.25

Answer:  The answer is:  " 240 mi. " .

_______

Step-by-step explanation:

To solve using a technique known as "dimensional analysis":

_______

 →  " [tex]\frac{60 mi}{1 hr} * \frac{4hr}{1} =[/tex]  ?  mi

 →   On the "left-hand side" of the equation;  the units of "hr" ["hour(s)"] "cancel out";  since:  "hr/hr = 1 " ;

 →  and we are left with:  " (60 mi * 4 )"  =  " 240 mi ".

_______

The answer is:

        →  " 240 mi " .  {Note:  "mi " is the abbreviation for "mile(s)".}.

_______

Hope this helps!

Best of luck to you!

_______

Answer:

[tex]4\sqrt{21}[/tex]

Step-by-step explanation:

Pythagorean theorem is [tex]a^{2} +b^{2} =c^{2}[/tex].

Which in this case:

'c' is hypotenuse. (hypotenuse = 20)

'a' and 'b' are the other sides. (a = x, b = 8)

Now we should just take square root from the both sides.

and the answer will be [tex]\sqrt{336}[/tex] or [tex]-\sqrt{336}[/tex], but a side of a triangle can not be a negative number! so the answer will be [tex]\sqrt{336}[/tex].

As you see [tex]\sqrt{336}[/tex] is not the simplest radical.

We can write [tex]\sqrt{336}[/tex] as [tex]\sqrt{16 * 21}[/tex].

And from the laws of radical we can write [tex]\sqrt{16*21}[/tex] as [tex]\sqrt{16} * \sqrt{21}[/tex].

[tex]\sqrt{16} * \sqrt{21} = \sqrt{16}\sqrt{21} = 4\sqrt{21}[/tex]

I hope it helps you. Please choose my answer as the brainliest.

Answer:

It equals to 16.

4(2)*2 - 2(2) + 4

4(4) - 4 + 4

16 - 0

= 16

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

Answer:

30 J

Step-by-step explanation:

Given : -

Height ( h ) = 3m

Weight ( W ) = 10 N

To find : GPE = ?

Note : -

GPE is Gravitational Potential Energy.

It is expressed in Joules ( J ).

Formula : -

W = mg

mg = 10 N

Formula : -

GPE = mgh

GPE = 10 x 3

GPE = 30 J

Therefore,

A bird weighs 10 N and is standing 3 m, it's

GPE is 30 J.

Answer:

The answer is GPE = 300 Nm (Newton meters)

Step-by-step explanation:

The bird's mass weighs to 10 Newtons.

Presuming this took place on Earth, the gravitational force is 10 Newtons.

The bird is standing 3 meters above the ground.

Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.