Answer:
x= 17
HJ= 27
JK= 153
HK= 180
Step-by-step explanation:
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
Find attached to this answer the diagram of the sketch of the segments described above
b) Write an equation using the segment addition postulate that will help you solve the problem
HJ + JK = KH
x + 10 + 9x = 14x - 58
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58
10 + 58 = 14x - x -9x
68 = 14x - 10x
68 = 4x
x = 68/4
x = 17
d)
x= 17
HJ= x + 10
= 17 + 10
= 27
JK= 9x
= 9 × 17
= 153
HK=14x −58
HK = 14 × 17 - 58
= 238 - 58
= 180
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
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For the function, f(x) = x - 2, find x if f(x) = -1.
Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)
Answer: 6.32 units
Step-by-step explanation: You count the distance and get 6.32 units.
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
In February, you have a balance of $135 in your bank account. Each month you deposit $45. Write an equation to describe the situation.
Answer:
135+45x
Step-by-step explanation:
54 equals 9 more than a number $t$ .
Answer:54 = t + 9
Step-by-step explanation:
4x - 10 = p+ 3x - 2x what is the value of x
Answer: if you need more let me know
Solve the following system of equations. y + 5x = 30 2y = 5x + 15
Answer: Solve 2y-5x-30 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y-5x-30 = 0 and calculate its properties
Step-by-step explanation:
Answer:
x = 3, y = 15
Step-by-step explanation:
Given the 2 equations
y + 5x = 30 → (1)
2y = 5x + 15 → (2)
Subtract 5x from both sides in (1)
y = 30 - 5x → (3)
Substitute y = 30 - 5x into (2)
2(30 - 5x) = 5x + 15 ← distribute left side
60 - 10x = 5x + 15 ( subtract 5x from both sides )
60 - 15x = 15 ( subtract 60 from both sides )
- 15x = - 45 ( divide both sides by - 15 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 30 - 5(3) = 30 - 15 = 15
Thus solution is x = 3, y = 15
1 11. What is the constant of proportionality? y = 8x
Answer:
-8
Step-by-step explanation:
lere
yoooo can someone help meeee thanks In advance
Answer:
The slope of F = 5.
Not 100% sure.
which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
expresa en lenguaje algebraico lo siguiente
Answer:
i dont speek Spanish sorry
The quadrilateral shown is a rhombus. What is m∠4?
A) 28°
B) 32°
C) 58°
D) 90°
In a rhombus, both pairs of opposite angles are congruent
so m<4=32 degrees
so your answer is 32 DEGREES
I need help? I don’t know what to dooooooo
what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =
You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?
Answer:
=36
Step-by-step explanation:
Step-by-step explanation:
for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....
so we have to multiply 3×3×4
=36
so if we divide 36 by 3 ,4 OR 9
we will not find any remainder
Find he percent of change from 1250 to 1,755mi
What is the best first step to solve the inequality 5x – 3 ≥ 2?
Answer:
add 3
Step-by-step explanation:
trust me
1)
What number is 4 times as many as 25?
Answer:
100
Step-by-step explanation:
write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP
Answer:
1/8 tablespoons
Step-by-step explanation:
Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.
You can do this by multiplying 1/2 by 1/4.
[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]
Answer:
it would be 1/8
Step-by-step explantion:
simply divide
1/2÷4
=1/8
(that should be right)
Please help me answer this question 17
Answer:
∠AEC = 139°
Step-by-step explanation:
EC bisects ∠BED. This means that the line EC cuts the angle in half, so ∠BEC = 4x + 1
Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts
Answer:
22
Step-by-step explanation:
The side of the rectangle that is 20 feet divide it by 5
[tex]\dfrac{20}{5}=4[/tex]
Now we add one to this as the fence post each required in each 5 feet section.
The same is the case for the opposite side.
So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]
Now for the 35 feet side
[tex]\dfrac{35}{5}=7[/tex]
Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.
So, new posts on the 35 ft side is 6.
So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]
Total number of posts is [tex]10+12=22[/tex]
You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.
Answer:
The correct option is;
y = 6
Step-by-step explanation:
The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.
The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts
The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry
In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side
Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.
Option A will represent the line of reflection.
A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.
If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.
Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.
Therefore, line given in Option A will represent the line of reflection.
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[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please
[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]
If Kiran solves the equation for p, which equation would result?
Answer: i have a answer but it is not up there srry
Step-by-step explanation:
What is the answer to this????
Answer:8
Step-by-step explanation:
Answer:
8 rows of art
Step-by-step explanation:
PLEASE HELP!! i will mark brainliest!!