Answers
The value of x is 9.32 after solving using the Pythagoras theorem.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
The diagram has 4 corners namely - A, B, C and D.
Draw a perpendicular through B.
The intersecting point at line AD is named as E.
It can be seen in figure that EDCB is a rectangle and falls under the category of parallelogram.
So, angle ADC = angle DEB = angle AEB = 90° .
Now, side BC = ED = 5.
So, side AE = 18 - 5 = 13.
Here, it can be seen that triangle ABE is a right-angled triangle.
So, to get the measurement of side BE, apply the Pythagoras theorem -
c^2 = a^2 + b^2
Where, a is perpendicular, b is base and c is hypotenuse.
So, according to the diagram -
(16)^2 = (13)^2 - (BE)^2
(BE)^2 = (16)^2 - (13)^2
(BE)^2 = 256 - 169
(BE)^2 = [tex]\sqrt{87}[/tex]
(BE)^2 = 9.32
Now, as EDCB is a rectangle so, side BE = side CD.
Therefore, the value for side CD = x = 9.32.
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Related Questions
Question 3 of 10
If f(x) = 7x-6, which of the following is the inverse of f(x)?
O A. f-1(x) = x76
f−¹(x) = x=7
X-7
6
B.
O C. f-1(x) = x+7
D. f¹(x) = x+6
7
SUBMIT
Answers
Therefore, the solution of the given problem of function comes out to be [tex]f^{-1}[/tex] = x+ 6 /7.
Describe function.Mathematics includes the study of numbers, equations and associated structures, forms and the environments in which they occur, quantities and their changes, and spatial relationships. A function is an association between such a set of inputs, each of which has an output. Simply described, a function is an association between the inputs and outputs in which each input results in a single, distinct result. Each operation has a domain and a scope, which are also referred to as codomains.
Here ,
In our case, f(x) = y = 7x-6.
The following procedures must be taken in order to determine the inverse function of the given function:
First, x and y must be switched, thus
x= 7y-6
We must add 6 to both sides in order to solve for y in the following step.
x+6=7y
7 divided by both sides, that is
y = x+ 6 /7
Therefore, the solution of the given problem of function comes out to be
[tex]f^{-1}[/tex] = x+ 6 /7.
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What kind of transformation converts the graph of f(x)= – 2x–10 into the graph of g(x)= – 2x+10?
Answers
Answer: Shift right 20 units
Solve for x!!!!!!!!! Spam will be taken down
Answers
Answer:
10 10 [tex]\sqrt{2}[/tex]
4 8
16 16[tex]\sqrt{3}[/tex]
[tex]\sqrt{18}[/tex] [tex]\sqrt{18}[/tex]
11 22
384 192
Step-by-step explanation:
mark me brainliest pls
they are in order
Pls show work and explain
Answers
9514 1404 393
Answer:
a) 60°
b) 60°
c) 70°
d) 90°
e) 40°
Step-by-step explanation:
The applicable relations are ...
the sum of arcs in a circle is 360°an inscribed angle is half the measure of the arc it intercepts.the exterior angle where secants meet is half the difference of the intercepted arcsthe interior angle where chords meet is half the sum of the intercepted arcsthe angle made by a tangent and a chord is a degenerate case of an inscribed angle, where the vertex is coincident with one end of the intercepted arc__
a) The sum of ratio units is 3+5+6+4 = 18, which corresponds to the sum of arcs around the circle: 360°. So, each ratio unit stands for 360°/18 = 20°. The arcs around the circle are ...
FA = 60°, FC = 100°, CB = 120°, BA = 80°
__
b) ∠BAC intercepts are CB, so is half its measure.
∠BAC = 60°
__
c) ∠AEC is the exterior angle where secants EA and EC intercept arcs FA and CBA. The difference of those arcs is (CBA -FA) = (200° -60°) = 140°.
∠AEC = 140°/2
∠AEC = 70°
__
d) Chords FB and AC intercept arcs FC = 100° and BA = 80°. The average of these measures is ...
∠FDC = (100° +80°)/2
∠FDC = 90°
__
e) ∠GAB is an "inscribed" angle that intercepts arc BA, so has half its measure.
∠GAB = 40°
_____
Comment on arc/angle naming
The arc asked for in part (a) has a name that the Brainly censor doesn't like. It seems OK with the reverse designation, so we have used FA here to refer to that arc.
The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?
Answers
The price of a stock share has decreased by 15% and suddenly increased by 5%.
What is a percentage?The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.
The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).
When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.
100 - 15% = 85% = 0.85
100 + 5% = 105% = 1.05
original selling price = d
selling price at a later date = 1.05(0.85d)
0.85d means that the original price was discounted by 15%
1.05 means that the price increased by 5%
Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.
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2) A box holds 6 smaller
boxes with 160 paper clips in
each box. If 1.5 of the boxes
have been used, how many
paper clips are left?
Answers
The number of paper clips that are left will be 480 clips.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A box holds 6 smaller boxes with 160 paper clips in each box. If 1.5 of the boxes have been used. Then the number of paper clips that are left is given as,
⇒ (2 - 1.5) x 6 x 160
⇒ 0.50 x 960
⇒ 480
The number of paper clips that are left will be 480 clips.
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If there are 10 fish in a tank 5 escaped 2 died.
How many are left?
Pls help
Answers
Answer: 8
Step-by-step explanation:
Its a fish tank no fish can escape. So 10-2 because 2 fish died and that is 8.
So you have 8 fish.
Hope this helps
10 - 5 = 5 since it’s subtracting.
Then you subtract 2 more such as
5 - 2 = 3
This graph represents the average number of animals that are seen in a veterinarian's office during the day.
У
45
40
35
30
5 25
20
2 15
10
456789
Hours
A) Circle the correct statement to make the sentence true:
The point (1,10) represents (1 animal is seen in 10 hours OR 10 animals are seen in 1
hour)
B) Describe what the point (0,0) represents in this situation.
C) Describe what the point (6, 60) would represent.
Answers
Answer:
A. 10 animals seen in 1 hour
C. 60 animals seen in 6 hours
i dont know B sorry
Step-by-step explanation:
You decide you want to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only (not the bus). What is the total cost for your fun day out? (round to the nearest hundredth)
Answers
The total cost for your fun day out is $23.82.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you decided to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only.
Assume that the total cost for your fun day out is ${x}. Then, we can write the equation as -
{x} = 15% of (75 + {5% of 75}) + 12
{x} = 15% of (75 + {5/100 x 75}) + 12
{x} = 15% of (75 + {1/20 x 75}) + 12
{x} = (15/100) x (75 + 75/20) + 12
{x} = (3/20 x 78.75) + 12
{x} = 11.82 + 12
{x} = 23.82
Therefore, the total cost for your fun day out is $23.82.
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What value is X in math?
Answers
Answer:
Any value
Step-by-step explanation:
X is a variable, meaning it can be any number, and they are just using our variable, x, as a little mask to hide the exact value. In math, we will usually need to find x by solving different equations.
Examples:
x + 4 = 7
Know, x in this case is 3 because we just know 3 + 4 = 7, but x can be any value, and sometimes it gets more complicated than this. For example, we can have something like:
2x + 8 = 16
In this case, we need to have multiple steps to solve for x. First, we minus 8 from both sides:
2x = 8
Then we divide by 2:
x = 4
So, we know x = 4. In conclusion, x is a variable that is hiding a value, and you will need to either solve or substitute x. Meaning x can be any value.
Hope this Helped!
Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents.
Answers
9514 1404 393
Answer:
85°60°Step-by-step explanation:
1. Angle JKL is half the measure of the intercepted arc JK.
(1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°
angle JKL is 85°
__
2. The angle between tangents is the supplement of the intercepted arc.
angle JKL = 180° -(360° -240°)
angle JKL = 60°
Sydney says that if all of the side lengths of a cube are doubled, the volume of the cube will also double. Is she correct? Explain.
Answers
Answer:
no, it's not correct
Step-by-step explanation:
volume or the cube = L³
so if we doubled the side lengths
They would be 2L
then the volume= (2L)³ = 8L³
so that would make the volume 8 times the first value not double
A wire 30 inches long is bent into a triangle with sides measuring 6 inches, 11 inches, and 13 inches Find the measure of the largest angle in the triangle.
Answers
The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.
What is trigonometry?
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes.
The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions (sometimes known as the circle functions) that make up trigonometry.
These functions' inverses are designated by the notations csc(-1)x, cos(-1)x, cot(-1)x, sec(-1)x, sin(-1)x, and tan(-1)x.
Keep in mind that f(-1) here refers to the inverse function, not f to the -1 power.
According to our question-
the biggest angle on a wire that is 30 inches long and bent into a triangle with sides that measure 6 inches, 11 inches, and 13 inches.
cosine rule is given as
cosa= a^2 + b^2 + c^2/2ab
cosa = 36 + 121 - 169/132
a = 95.22°
Hence, The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.
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If 3x+14=26, which of these equations is true?
Answers
Answer:
x=4
Step-by-step explanation:
3x+14=26
3x=26-14
3x=12
x=12/3
x=4
Answer: x = 4
Let's solve your equation step-by-step:
3x+14=26:
Step 1: Subtract 14 from both sides.
3x+14−14=26−14
3x=12
Step 2: Divide both sides by 3.
3x/3 = 12/3
x=4
A model airplane is built on the scale of 0.5 inch for every 11 feet. The length of the
wing on a 747 airplane is 211 feet. What is the length of the wing on the model
airplane? (Round your answer to the nearest tenth)
Answers
Answer:
[tex]9.59[/tex] ft
Step-by-step explanation:
[tex]\frac{211}{11}[/tex]
[tex]= 19.181818\\multiply\\by\\0.5\\= 9.59[/tex]
Solve the following system of equations. Enter the y-coordinate of the
solution. Round your answer to the nearest tenth.
5x+2y=21
- 21+ 6v=-34
Answers
To find the y-coordinate of the solution, we can substitute in this value for y and round it to the nearest tenth: y = -2.2
What exactly does a coordinate system mean?system of coordinates, Arrangement of reference lines or curves for locating points in space The Cartesian (named for René Descartes) system is the most popular one in two dimensions.
To solve for y in the equation 5x + 2y = 21, we can start by isolating y on one side of the equation. To do this, we can subtract 5x from both sides of the equation:
5x + 2y = 21
5x - 5x + 2y = 21 - 5x
2y = 21 - 5x
To solve for y, we can then divide both sides of the equation by 2:
2y = 21 - 5x
y = (21 - 5x) / 2
To solve for y in the equation -21 + 6y = -34, we can start by isolating y on one side of the equation. To do this, we can add 21 to both sides of the equation:
-21 + 6y = -34
-21 + 21 + 6y = -34 + 21
6y = -13
To solve for y, we can then divide both sides of the equation by 6:
6y = -13
y = -13/6
y = -2.1666666666666665
To find the y-coordinate of the solution, we can substitute in this value for y and round it to the nearest tenth:
y = -2.2
So, the y-coordinate of the solution is -2.2.
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Please help??!!!!!!!!!!!!!!!!
Answers
Explanation: I’m pretty sure that the right answer
can someone tell me how much is 0,5-⁶?
Answers
Answer:
add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5
Step-by-step explanation:
Determine the equation of the circle graphed below
Answers
4) If 1 inch represents 10 miles on a map, then how many inches will
represent 120 miles?
Answers
Answer:
12 inches
Step-by-step explanation:
You can use proportions to solve this:
1/10 = x/120
Cross multiply:
12 = x
Answer:
12 inches.
Step-by-step explanation:
The ratio given is that 1 inch = 10 miles.
The amount given to you is 120 miles. To find the amount of inches, simply divide the total amount of miles (120) with the amount of miles needed to be ratio into inches (10):
120/10 = 12
12 inches is your answer.
~
PLEASE HELP ME WHAT AM I SUPPOSE TO DO?!
Answers
Answer:
Step-by-step explanation:
Angle 2= 50
angle 1= 180-50= 130 degrees (linear pair (sum 180))
angle 3= 130 degrees (vertically oposite angles are equal)
angle 6= 130 degrees (alternate interior angles)
angle 5= 180-130= 50 degrees (linear pair)
i hope this helps :)
5135/1000 = quotient and reminder
485/100 = quotient and reminder
Answers
Answer:
5135 ÷ 1000
= 5 R135
485/100
= 4 R85
Oh please help me with this!!!
Answers
Answer:
x+74=180
x=180-74
x=106
x=4y+22
106-22=4y
84/4=y
21=y
y=21
Step-by-step explanation:
Answer:
x=106
y=21
................
Find the length of the third side. If necessary round to the nearest tenth
Answers
The side lengths of a right-angle triangle can be calculated using the Pythagorean Theorem. Which states that the square of the hypotenuse is equal to the sum of squares of the other sides in the triangle.
[tex]a^2+b^2=c^2[/tex]
the hypotenuse is always the longest side of a triangle and is always the opposite side length to the right anglerearranging the equation can help calculate the third side:
[tex]c^2-a^2=b^2[/tex]
[tex](5)^2-(4)^2=b^2[/tex]
[tex]25-16=b^2[/tex]
[tex]9=b^2[/tex]
[tex]\sqrt{9}=\sqrt{b^2}[/tex]
[tex]{ {{b_1=+3} \atop {b_2=-3}} \right.[/tex]
note: a length can never be negative so never take into account a negative answer
b = 3
This is due today pls help me !! :c
Answers
Answer:
x = 84
Step-by-step explanation:
Answer:
84 degrees
Step-by-step explanation:
when finding the angle of any square, as long as all for sides equal to 360 degrees, your doing it right! hope I helped
Which angles are alternate exterior angles?
1. EFH and BCF
2. EFH and DCA
3. EFH and EFC
4. EFH and BCA
Answers
∠EFH and ∠ACD are angles of alternate exterior angles in the figure as alternate external angles are those that are generated on the outer side of the parallel lines .
what are angles ?When two straight lines connect at a 90° angle or are perpendicular to one another, an angle is formed. The symbol denotes a right angle. In the picture up above, many right angle formations are visible. Shapes include the correct angles. Triangles classified as right triangles have one of their internal angles at a 90 degree right angle. The three interior angles of a triangle add up to 180 degrees, so the three interior angles of a right triangle must always add up to 90 degrees because one of them is always 90 degrees.
given
The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.
sum up to 180 degrees, you can calculate the size of the inner angle adjacent to it if you know the size of the outer angle (since together they are the angle on a straight line). The internal angles at the other two vertices are added to create the outer angle of a triangle.
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6(x+1)=24 solution to equation
Answers
6x+6=24
6x=24-6
6x=18
6x/6=18/6
x=3
helppppppppppppppppppppp
Answers
Answer:
d=112
f=112
a=68
e=68
c=112
Explanation:
Each line is equal to 180 degrees so 180-68 is 112 f and a should be the same degree because of the way the line is slanted. E and c will be the inverse of d and 68.
Can y’all help me with this I don’t understand stand
Answers
is it 10+8=18 is this it hopefully this helps
Answer:
Option C
Step-by-step explanation:
10 + n is the total number of computers Mr. James will sell this week, since he has already sold 10 computers and will sell n more. Because he wants to sell at least 18 computers, the correct symbol is ≥.
help with angles, also explain how to do this so i can go on further without help
Answers
Answer:
x = 103°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, so
x = 50° + 53° = 103°