Answers
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]
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
#SPJ2
Related Questions
What is a[tex]\frac{1}{3}[/tex] As a ratio?
Answers
Ratio of 1/3
= 1:3
Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9
Answers
Answer:
x= -4, y=-3
Step-by-step explanation:
solving the two equations simultaneously you'll get x to be-4 and y to be -3
x+ 5y= -19
3x-y=-9
multiplying the second equation by5
15x-5y=-45
adding eqn 1 and eqn 3
16x= -64
x= -4
substituting into eqn 2
3(-4)-y= -9
-y= -9+12
-y= 3
y=-3
i need the answer pls help pls
Answers
Answer:
B
Step-by-step explanation:
x² - 8x + 97 = 0
the general form to solve such quadratic equations is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -8
c = 97
so, we get
x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =
= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =
= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i
A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.
a) What are the dimensions of the field that has the largest area?
b) What is the maximum area?
Answers
Answer:
L and B be the dimensions of field.
L+2B =2400ft.
AreaA = L×B=L×(2400-L)/2=1200L-L^2
For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft
B=(2400-600)/2=900ft.
Total area = 540000ft^2.
Maybe?
Step-by-step explanation:
Quora
ans this question pleasepleasee i need it now 11:19 am
Answers
Step-by-step explanation:
Just times all the number for every question like the first one, 4×4×4=64(units)
=64ft
Same for the rest
Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?
Answers
Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.
When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?
Answers
Answer:
A) 6.66% B) It's a decrease
(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)
You buy x bags of chips for $.75 per bag. How much do you spend on chips.
Answers
Answer:
Step-by-step explanation:
Equation
Cost = 0.75 * x
The answer is Cost = 0.75 * x
The diagram represents the factorization of a2+8a+12.
A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.
What is the missing number that will complete the factorization?
6
8
12
24
Answers
Answer:
The answer is 6
Step-by-step explanation:
Answer: 6
Step-by-step explanation: took the quiz
$117 per week is proportional to $234 per 2 weeks.
The proportion is____?
Answers
A proportion is a comparison between two ratios.
A ratio is a proportion between two numbers.
To write a proportion, create two comparisons with two numbers and set them equal to each other.
Solving the QuestionWe're given:
$117 per week$234 per 2 weeksThese ratios are proportional to each otherWrite two ratios:
[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]
[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]
Set them equal to each other:
[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]
Answer[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]
Please help!!!
John's water bill this month was $19.67. Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?
Answers
Answer:
$0.001967/gallon
Step-by-step explanation:
John uses alot of water.... and it sure is cheap.
19.67/10000 =
[tex]3\sqrt{x} 6-4\sqrt{x} 6[/tex]
i need help with this problem this is radicals can you please explain to me how to do this it would be very helpful
Answers
Due to radicals being the same you just subtract the values of (3-4) given us -1
What is the area of this trapezoid
Answers
Answer:
468
Step-by-step explanation:
Area of trapezoid=1/2 *h(l1+l2)
=1/2*18*(15+37)
=9*52
=468
7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;
Answers
Answer:
Volume of a rectangular pyramid:
[tex]V=\dfrac13lwh[/tex]
where:
[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = heightGiven:
[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ftSubstitute given values into the formula and solve for [tex]l[/tex]:
[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]
[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]
[tex]\implies 0.1875=0.375 l[/tex]
[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]
[tex]\implies l=0.5[/tex]
Therefore, the base length is 0.5 ft
Mr. Andade had supply bag with three mechanical pencils, four blue pens, and five black pens. If he selects a writing utensil without looking, what is the probability he will select a mechanical pencil?
Answers
Answer:
1/6
Step-by-step explanation:
The sum of all writing utensils are 3+4+5 = 12,
Therefore the probability he will select a mechanical pencil is 3/12 or 1/4.
.
.
.
.
.
.
.
.
For additional info,
Probability of selecting a blue pen and black pen respectively is 4/12 or 1/3 and 5/12.
Find the area of the figure.
Answers
answer:
4.5m²
explanation:
1. find area of the circle
A(circle)=πr²
A=π(2.3²)
A=16.62m²
2. find area of the square
the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.
A(square)=s²
A=4.6²
A=21.16m²
3. subtract the two areas
to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.
A(shaded)=21.16-16.62
A=4.54097487m²
(be sure to round as necessary)
--
if this helped, please consider giving brainliest !
PLEASE HELP WITH THIS! IM FALLING BEHIND
Answers
Original side length: A'C'=5
Original angle: 37 degrees
By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.
Resulting side length: A'C'=25
Resulting angle: 37 degrees
The correct answer is C.
I NEED HELP ASAP!!!!!
Answers
2= not polynomial
3= polynomial
4= polynomial
5= not polynomial
6= polynomial
Keisha is jogging from her house to school. Her school is 4 1/2 miles from her house. She has gone 3/8 miles so far. How many miles does Keisha still have to jog?
Answers
4.125 miles still to jog
Explanation:
Check out the work I’ve attach
Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)
Round your answer to the nearest hundredth.
Answers
Answer:
67.98°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
A, B, C, D are points on a line.
AB = 1
BC = 2
CD = 4
Find the length of segment AD. Consider all possibilities.
So far, I've only gotten 7, 5, and 1. But I know there is one left. Can you guys help?
Answers
The points A, B, C and D are collinear points
The length of the segment AD is 7 units
How to determine the length AD?The given parameters are:
AB = 1
BC = 2
CD = 4
Because the points are on the same line, then the following is the possible equation
AD = AB + BC + CD
Substitute known values
AD = 1 + 2 + 4
Evaluate the sum
AD = 7
Hence, the length of the segment AD is 7 units
Read more about line segments at:
https://brainly.com/question/14366932
Please help me find the area for this hexagon (please show work to) ,:)
Answers
Check the picture below.
so the area of the hexagon is really just the area of two isosceles trapezoids.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}[/tex]
Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers
Answers
B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2
C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2
F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2
= - sec(x - pie/2) + 2 = - csc(x) + 2
A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she
might teach about the letter S or the letter U, but not the letter M.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
What letters are CANT BE TAUGHT using this method? (There are 11.)
ОА
OB
Ос
OD
ОЕ
OF
OH
01
Answers
Answer:
01 she can teach alphabet using seven days name but not numbers.
Find the surface area of the triangular prism.
A triangular prism. The base has sides of 17 meters, 17 meters, and 16 meters. The height of the prism is 10 meters. Apothem goes from the base vertex to the midpoint of the base edge, 16 meters, and measures 15 meters.
The surface area is
square meters.
Answers
If m∠D = 96°, what will be the m∠C to have a supplementary angle.
Answers
Answer:
84
Step-by-step explanation:
supplementary means two angles that add to 180
180-96=84
Please help me with this problem thank you!
Answers
Answer:
the awnser is or I'm 4th grade
Pls answerrrrrrrrrrrrrrrrrrrrrr
Answers
Answer:
13
Step-by-step explanation:
the two lines with y in them are the same length
6y = y+65
5y = 65
y = 13
The graph of a function g is shown below.
Find g(1) and find one value of x for which g(x)=-1.
1) g (1) = ?
2) one value of x for which g (x) = -1 ?
Answers
Answer:
this is wrong
is the answer
if you like my answer please like comment and mark me as brilliant
please hurry im crying
Answers
Answer:
Step-by-step explanation:
it shows that the line is the same becuase it is perfectly lined up :)