What is the value of b?

What Is The Value Of B?

Answers

Answer 1

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

Answer 2

The value of b is 24

What is angle bisector theorem ?

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

How to find the value of b ?

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

Learn more about Angle bisector theorem here :

https://brainly.com/question/27261528

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Related Questions

Help my sister please she needs help I don’t know because I forgot

Answers

Answer:

15 shrimps

Step-by-step explanation:

We already know that a small shrimp taco has 5 shrimps.

⇒ [tex]\text{1st equation: small shrimp taco = 5 shrimps}[/tex]

We also know that a large taco has 3 times more shrimps than a small taco.

⇒ [tex]\text{2nd equation: shrimps in a large taco = 3(Shrimps in a small taco)}[/tex]

Finding the number of shrimps in a large taco:

Now, simply substitute the number of shrimps in a small shrimp taco in the second equation to find the number of shrimps in a large taco.

⇒ [tex]\text{Shrimps in a large taco = 3(5) shrimps}[/tex]⇒ [tex]\boxed{\bold{\text{Shrimps in a large taco = 15 shrimps}}}[/tex]

Answer:

15 shrimp

Step-by-step explanation:

5 shrimp * 3 = 15shrimp

Find the unknown sizes of angles the given figure . ​

Answers

Answer:

a=96

b=42

c=138

Step-by-step explanation:

as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138

Hope it helps best of luckkkkk

solve for x ~
[tex]4x - 16 = 64[/tex]

ty ^^​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:4x - 16 = 64[/tex]

[tex]\qquad \sf  \dashrightarrow \:4(x - 4) = 64[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 4) = 64 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x - 4 = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 16 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =20[/tex]

[tex] \boxed{ \bf \huge \: Answer \: }[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: 4x - 16 = 64[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: 4x = 64 + 16[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: 4x = 40[/tex]

[tex] \: [/tex]

[tex] \sf \large \: x = \cancel \frac{80}{4} [/tex]

[tex] \: \: [/tex]

[tex] \sf \large x = 20[/tex]

[tex] \: \: [/tex]

Hope It's Helps uh Miss<3"

Select the correct answer.
A regular octagon has side lengths of 8 centimeters. What is the approximate area
he octagon?
OA. 618 cm2
OB. 512 cm2
OC 309 cm2
OD
473 cm2
Reset
Next

Answers

Answer:

C. 309 cm2

Step-by-step explanation:

A=2(1+sqr2)a^2

A=2(1+sqr2)8^2

≈309.01934

Answer: 309 cm2

Step-by-step explanation:

plato

sebuah Mobil memerlukan Benson sebanyak 45 liter until menempuh jarak 480 km, jika Mobil tersebut menempuh jarak 320 km, maka banyak bensin Yang diperlukan adalah...
jelaskan ya..

Answers

Answer:

what??? I can't understand you sorry

please help me Find m

Answers

Answer:

60 degree is the value of m

please help me answer this question.. no links​

Answers

Answer:

The answer is 28 Units

It's number 3.

find the measure of x,y and z in the figure

Answers

Answer:

y=45°

x=75°

z=60°

Step-by-step explanation:

hard to explain, but I'll try my best. on a single line, it equals 180 when both angles are added up. and the opposite side of an angle is always the same.

40 POINTS!! Douglas is placing strings of lights around the edge of a circular patio with a diameter of 7.5 meters. The lights are in lengths of 1.45 meters. What is the best approximation for how many strings of lights Douglas needs? Use 3.14 to approximate for π.
5 strings
11 strings

17 strings

122 strings

Answers

Answer:

17

Step-by-step explanation:

...................

Your answer would be 17 strings !

9×(x+7)+5=86.can you help me to solve this question.

Answers

Answer: x=2

Step-by-step explanation:

9(x+7)+5=86

Step 1: Simplify both sides of the equation.

9(x+7)+5=86

(9)(x)+(9)(7)+5     (Distribute)

9x+63+5=86

(9x)+(63+5)=86      (Combine Like Terms)

9x+68=86

Step 2: Subtract 68 from both sides.

9x+68−68=86−68

9x=18

Step 3: Divide both sides by 9.

[tex]\frac{9x}{9} =\frac{18}{9}[/tex]

x=2

x − 6 = -4 what is the solution

Answers

Step-by-step explanation:

[tex]x - 6 = - 4 \\ \\ \implies \: x = - 4 + 6 \\ \\ \implies \: x = 2[/tex]

Answer:

2

Step-by-step explanation:

because if you substitute 2-6 you will get negative 4

In a new video game, Franky had -16 1/2 points. He was able to earn 3/4 of the points he lost back. How many points did he have?

Answers

Answer:

slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points

if -16.5 is the 1/4 he didnt get back then he had 66 points

Step-by-step explanation:

The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not
including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C in dollars) of
sending the package is C = 23.50 + 3.80Lx), x > 0, where x is the weight (in pounds).
What is the meaning of the coefficient 3.80 in the context of the problem?
O When the package weighs less than one pound, the price of the package is $3.80.
O For every pound that the package weight increases, the price of sending it increases by $3.80.
O For every pound that the package weight increases, the price of sending it increases by $23.50.
When the package weighs less than one pound, the price of the package is $23.50.

Answers

Answer:

For every pound that the package weight increases, the price of sending it increases by $3.80

Step-by-step explanation:

Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.

This means that for every pound that the package weight increases, the price of sending it increases by $3.80.

CAN SOMEONE PLSSSSS ANSWER BOTH OF THESE QUESTIONS
I WILL MARK BRAINLIEST

Answers

Answer: B and C

Step-by-step explanation:

404 + 50 + 50 = 504

you are buying  144 magazines total

504/144 = cost of one magazine

cost of one = 3.50

you are paying $60 a year for 12 years

60 x 12 = 720

720/144 = 5

5 - 3.50 = 1.50

2.

120x + 180x = 1080

300x = 1080

x = 1080/300

x = 3.6

3.6 x 60 = 216

A rectangular lot is 80 yards wide and 125 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.

Answers

Answer:

  70 yards wide and 135 yards long

Step-by-step explanation:

The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.

__

The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.

A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.

_____

Check

Given perimeter: 2(80 +125) = 410 yds.

Modified perimeter: 2(70 +135) = 410 yds. (same)

Given area = 80(125) = 10000 yd².

Modified area: 70(135) = 9450 yd². (smaller)

__

Additional comment

The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.

Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

solve the following ​

Answers

Step-by-step explanation:

1.

so 90 km on 17 liters.

that is a 90/17 ratio (or proportion).

that means it runs 90/17 km on 1 liter.

and therefore (90/17)×20 on 20 liters.

90×20/17 = 105.8823529... km

2.

the ratio is 66/22 based on the RPMs.

66/22 = 3/1 = 3

so, the larger gear has then 3×6 = 18 teeth.

3.

the ratio is 150/75 based on the RPMs.

the circumference of a circle is

2×pi×r

so, it is a linear relationship with the radius r (and therefore the diameter d).

so, the diameter of the larger pulley is 2×10 = 20 in

4.

the ratio here is 18/6.

18/6 = 3/1 = 3.

again, this relates to the circumference, which is a linear relationship with the radius or diameter.

the smaller gear has then 72/3 = 24 teeth.

5.

the ratio is 2/3.

so, the larger pulley has 3450×2/3 RPM.

= 2,300 RPM

6.

2.5 kg cost 110.

that is a 2.5/110 ratio :

and that means we get 2.5/110 kg for one unit of money.

and therefore we get 80 × 2.5/110 kg for 80 units of money.

80 × 2.5/110 = 8 × 2.5/11 = 20/11 = 1.818181818... kg

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

The brightest star in the night sky is Sirius, located 500,000 times further away than the sun. Sirius is also 20 times brighter than the sun, which is why it is so easy to see at night. Our sun is a medium star of average size and brightness.

You deposit $5000 in an account earning 2% interest compounded continuously. How much will you
have in the account in 10 years?
$

Answers

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

solve the right triangle (all sides and angles) please help!!!

Answers

LUFFY to the right and LUFFY to the left

Question 1 of 10
How many solutions are there to the equation below?
x² =-64
A. 0
B. 2
C. 16
D. 8
E. -8

Answers

There are 0 solutions.

To solve for x in this equation you must square root both sides, but since it is impossible to square root a negative number, there are 0 solutions.

write in words
3a- 6
[tex] \frac{1}{2} z \: fy \: 10[/tex]

Answers

Answer:

See below ↓↓

Step-by-step explanation:

1) 3a - 6

6 minus the product of 3 and a

2) 1/2zfy10

1/2 the product of z,f,y, and 10

Emily threw a ball up in the air from her tree house. It followed the path given by the parabola y equals short dash 2 x squared plus 14 x plus 60, where x is the distance from the tree house (in feet), and y is the height of the ball (in feet). At what distance from the tree house did the ball strike the ground?

Answers

The distance from the tree house that the ball strike the ground is 10feet

Equation of a parabola

Given the path of the ball expressed by the parabola equation:

y = -2x^2+14x +60

The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0

x^2 - 7x - 30 = 0

Factorize the result

x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0

x = 10

Hence the distance from the tree house that the ball strike the ground is 10feet

Learn more on function here: https://brainly.com/question/25638609


The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?

Answers

Step-by-step explanation:

Length = 94 cm

breadth = ?

Perimeter = 298 cm

Now..............

Perimeter = 2 ( l + b )

298cm = 2 ( 94 cm + b )

298 / 2 = 94 + b

149 cm = 94 + b

b = 149 - 94 cm

b = 55 cm

Answer:

Value of it's width is 55 cm .

Step-by-step explanation:

In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,

[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]

Where ,

l = length of rectanglew = width of rectangle

Now , we are substituting value of length and equating it with given perimeter :

[tex] \longrightarrow \: 2(94 + w) = 298[/tex]

Now, our last step is of calculations . So from here we are calculating ,

[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]

[tex] \longrightarrow \: 94 + w= 149[/tex]

[tex] \longrightarrow \: w = 149 - 94[/tex]

[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]

Therefore, width of rectangular painting is 55 cm .

#Keep Learning

answer the following question

Answers

Answer:

Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°

how do I get the average of two numbers when one has more than the other

Answers

Answer:

[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]

Step-by-step explanation:

[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]

Let x and y be two numbers then the average of x and y is :

[tex]\large \frac{x+y}{2}[/tex]

Example :

The average of 4 and 16 is :

[tex]\frac{4+16}{2} = \frac{20}{2} = 10[/tex]

Given f() = -4x + 3, find f(-3)

Answers

Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

Answer:

f(-3)=-4(-3)+3

=12+3=15

Step-by-step explanation:replace x with -3

how is 12 x √3/2 = 6√3 ?

Answers

[tex]12x\sqrt{\cfrac{3}{2}}~~ = ~~6\sqrt{3}\implies (6)(2)x\cdot \cfrac{\sqrt{3}}{\sqrt{2}}~~ = ~~6\sqrt{3}\implies \cfrac{(2x)(6\sqrt{3})}{\sqrt{2}}=6\sqrt{3} \\\\\\ \cfrac{2x}{\sqrt{2}}=\cfrac{6\sqrt{3}}{6\sqrt{3}}\implies \cfrac{2x}{\sqrt{2}}=1\implies 2x=\sqrt{2}\implies x=\cfrac{\sqrt{2}}{2}[/tex]

During which time period was the ANNUAL rate of increase of the speed the GREATEST?
A) from year 1 to year 2
B) from year 1 to year 3
C) from year 1 to year 4
D) from year 1 to year 5

Answers

Answer:

  A) year 1 to year 2

Step-by-step explanation:

The increases in speed are found by subtracting the speed from the year before.

  1 to 2: 46 -38 = 8

  2 to 3: 52 -46 = 6

  3 to 4: 57 -52 = 5

  4 to 5: 61 -57 = 4

The greatest increase was from year 1 to year 2.

__________ is a time to challenge yourself and take some risks since your body is stronger than ever before, and you are changing and developing in all sorts of wonderful ways.

Answers

Answer:

Adolescence

Step-by-step explanation:

We are constantly changing and developing in adolescence, it is the bridge between childhood and adulthood, mixed with youth (taking risks more frequently, less worries) and responsibilities and coming-of-age.

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