Answers
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3
Related Questions
What is the volume of the right rectangular prism?
Answers
Answer:
[tex]\boxed{\sf{140}}[/tex]
Step-by-step explanation:
A rectangular prism's volume must be determined in order to solve this problem.
Remember to use this rectangular prism formula:
[tex]\sf{V=l*w*h}[/tex]
L=7 in
W=5 in
H=4 in
Multiply.
7*5*4=140
140 in
Therefore, the correct answer is 140.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
V = 140 cubic units
We can split this equation into multiple steps to solve:
7 x 5 x 4 =
(7 x 5) x 4 =
35 x 4 = 140
Therefore your answer would be:
140 cubic units
Otherwise, known as option C.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
I do not understand
Answers
B) 10/3
C) 6
D) 18/5
So only C is bigger than 4
Hey there!
First, let's convert 4 into a fraction: 4/1
Now, multiply fractions:
1/4*4/1=1
is 1 greater than 4? of course not.
let's try Option B:
5/6*4/1
5 times 4 and 6 times 1
20/6
reduce the fraction
10/3
or
3+1/3 (less than 4)
Is it Option C? Let's try/
3/2*4/1
3 times 4 and 2 times 1
12/2
6
and 6 is greater than 4. Bingo!
How about Option D?
9/10*4/1
9 times 4 and 10 times 1
36/10
18/5
Hence, the answer is
[tex]\boxed{\boxed{\bold{option~C}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
:-)
Reflect the shape A in the line
y=-1
.What are the coordinates of the vertices of the image?
Answers
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
I hope this helps!!
How to get x and what the answer is.
Answers
sum of interior angle =n-2(180)
n is the number angles
5-2(180)
3(180)
=540
x=102+116+123+88=429
540-429=111
x=111
What is the perimeter of the shape below?
Answers
None of these choices are correct
The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.
Please someone help I will give brainliest
Answers
Answer: 42.0
Step-by-step explanation:
Rachel has half the amount of money that Melanie has.
Melanie has $12 less than 3 times the amount that Kim has.
Let k represent the amount. of money kim has.
(A) write an expression that represents the amount of money that Melanie and Kim has. (two separate expressions)
(B) if kim has $20, how much money does Melanie and Rachel have?
EXPLAIN UR WORK
Answers
Let the amount of money Kim has be k then,
ATQ,
The amount of money Melanie has
⇢3k - $12The amount of money Rachel has
⇢3k-$12/2 = 1.5k - $6Given that,
Kim has $20,
so,
The amount of money Melanie has
⇢3k - $12 = 3 x $20 -$12 = $48The amount of money Rachel has
⇢ 1.5k - $6 = 1.5 x $20 -$6 = $24Which vector best describes the translation below?
Answers
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.
Find the missing side of the triangle. I'll mark brainiest please help!
Answers
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]
I am joyous to assist you at any time.
[tex] \huge \underline\text{ Hello There}[/tex]
[tex] \text{We know, Pythagoras Theorem}[/tex]
[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]
[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]
[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]
[tex] \huge \underline\text \red {Solution}[/tex]
[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]
[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]
[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]
What is question c in the question?
Answers
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
a=340
rounded to the nearest 10
b=49.8
rounded to 1 DP
Find the minimum of
a x b
Answers
Answer:
16666.25
Step-by-step explanation:
For rounded values, the minimum value they could have been rounded from is the given value less half its least-significant digit.
That means the minimums are ...
a: 340 ⇒ 340 -5 = 335
b: 49.8 ⇒ 49.8 -0.05 = 49.75
Then the minimum product would be ...
(335) × (49.75) = 16666.25
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Answers
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answers
Answer:
∠ 5
Step-by-step explanation:
Given;
Which angle number represents ∠ WYU
picture
Solve;
First, we have to find the letters WYU in the picture.
Knowing that, WY is an edge, YU is an edge.
And these two sides intersect at Y.
So you get ∠ WYU. As shown in the figure in the picture, 5 represents
∠ WYU
~Learn with Lenvy~
Determine if there was a percent increase or decrease in the number of trench coats sold, and by how much. (Round your answer to the nearest tenth. ) a. The percentage of trench coats sold decreased by 0. 8%. B. The percentage of trench coats sold increased by 0. 8%. C. The percentage of trench coats sold decreased by 23. 3%. D. The percentage of trench coats sold increased by 23. 3%.
Answers
The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage
the final is 127, and the initial is 103
127 - 103 = 24
24/103 = 0.233
0.233 x 100
= 23.3%
Thus, The percentage of trench coats sold increased by 23. 3%.
Learn more about percentages;
https://brainly.com/question/13450942
Which of the following represents 5 + 10? Mark all that apply.
Answers
this is because 5 divided by 10 is a half, 5/10 and the simplified version is also 1/2
C and E i think
Step by step explanation:
A is 15,8
B is 0,25
C is 0,5
D is 0,4
E is 0,5
Algebra 1? What am I supposed to do it is so confusing
Answers
Answer:
you are basically given an unknown and you try to solve for it. if you need any guidance feel free to ask.
Mr. Sanko downloaded 34 more songs than Mrs. Sanko downloaded. Together they downloaded 220 songs. How many songs did each download?
Let X=Mr. Sanko and Y=Mrs. Sanko
a. Mr. Sanko downloaded 127 songs.
Mrs. Sanko downloaded 93 songs.
b. Mr. Sanko downloaded 93 songs.
Mrs. Sanko downloaded 127 songs.
c. They downloaded the same amount of songs.
Part b: Type the two equations for this situation:
Answers
Short Answer part 2: 34+y=x and x+y=220
Explanation: Mr. S (x) downloaded 34 more songs than Mrs. S (y), and so the amount of songs that mr downloaded is equal to the amount of songs Mrs downloaded plus 34. ((34+y=x))
If you add together the amount of songs that mr (x) and Mrs (y) downloaded you will get ((x+y=220)).
Because mr’s (x) songs are equal to ((34+y)), you can substitute the value of x in for x in the equation ((x+y=220)), thus creating the equation ((34+y+y=220)).
Simplify ((34+y+y=220)) by first combining like terms, and then solving for y. When you solve for y, you will find that ((y=93)).
If you plug that value into ((34+y=x)), you will find the equation ((34+93=x)).
Solve for x.
((x=127))
Mr. Sanko (x) downloaded 127 songs, giving you the answer a.
15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
Answers
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]
The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20
Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, it is specified that y varies directly as x.
That means
[tex]y \propto x\\or\\y = kx[/tex]
At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:
[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]
Thus, the relationship between x and y is: y = 54x
Now, when y = 1080, we get:
[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]
Thus, the value of x when y = 1080 for this condition is when x = 20.
Learn more about directly related variables here:
https://brainly.com/question/13082482
#SPJ4
simplify the following variable expressions
Answers
[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]
Let's simplify ~
Expression 1[tex]\qquad \sf \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + ( - 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:6x - 1[/tex]
Expression 2[tex]\qquad \sf \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:3x + ( - 12)[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - 12[/tex]
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 1.1 cm. The chocolate used in the bon-bons has a density of 1.28 g/cm^3 3 . If the chocolate used costs $0.03 per gram, how much would the chocolate for 190 bon-bons cost, to the nearest cent?
Answers
The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.
What does multiplication mean?Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.
What is the total cost of 190 bon-bon?Total cost = cost per gram x mass x number of bon bon
Mass = density x volume
1.28 x (4/3 x 3.14 x 1.1³) =5.35
Cost = 5.35 x 0.03 x 190 = $30.49
To learn more about multiplication, please check: brainly.com/question/3385014
Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find the measure of each angle.
Answers
Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
What is vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
learn more on vertical angles here: https://brainly.com/question/14753399
What is the best first step in solving the equation 3 +[tex]3\sqrt[6]{x}[/tex] = 5?
Answers
[tex]3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}[/tex]
of the 64 students in grade five, 3/8 of them either walk or ride a bike to school. the rest take a bus. how many fifth graders take a bus to school?
Answers
Answer:
24
Step-by-step explanation:
I did this question before.
Select all the situations where knowing the volume of an object would be more useful than knowing its surface area.
A. Measuring the amount of gasoline left in the tank of a tractor.
B. Packing a box with watermelons for shipping.
C. Filling an aquarium with buckets of water.
D. Charging a company for ad space on your race car.
E. Determining the amount of paint needed to paint a barn.
F. Determining the monetary value of a piece of gold jewelry.
G. Deciding how much wrapping paper a gift will need.
Answers
Answer:
The answers are A, B, C, and probably F
Step-by-step explanation:
Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.
Hope this helps!
Find the value of X and show your work
Answers
Step-by-step explanation:
Ans of 8
x + 3x + 2x = 180 (sum of all angle of triangle is 180)
6x = 180
x = 60
Ans of 9
(2x-2)+(x+5)+90 = 180
3x+3+90 = 180
3x + 93 = 180
3x = 180-93
x = 87/3
x = 29
help me for five fazcoins and a copy of the morbius movie
Answers
Answer:
D
Step-by-step explanation:
down 110 ft over time 10 min
time can't be negative
Pls Hurry.
What is the area of a rectangle with vertices (Negative 8, Negative 2), (Negative 3, Negative 2), (Negative 3, Negative 6), and (Negative 8, Negative 6)?
___ square units
Answers
Answer:
20units^2
Step-by-step explanation:
Answer:
20units^2
Step-by-step explanation:
The curve of best fit is given as y = 4 + 3x + 2x2. Find the value of y when x = 2
Answers
X=2 so change the excision to
Y= 4+ 3•2 + 2•2
Do the math for any multiplication
Y= 4+6+4
Add those up And you get
Y= 14
You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8
Answers
Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answers
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5