find x in this two examples
The values of x in both figures are 45 and 34, respectively.
The value of x in (a)Start by calculating the angle CAB using:
CAB + ABC + BCA = 180 --- angles in a triangle
The triangle is an isosceles triangle.
So, we have:
CAB + ABC + CAB = 180
Evaluate
2CAB + 25 + 75 = 180
This gives
CAB = 40
Calculate angle BEA using:
BEA + CAB + ABE = 180 --- angles in a triangle
This gives
BEA + 40 + 25 = 180
Evaluate
BEA = 115
Vertical angles are equal.
So, we have:
CED = BEA = 115
Calculate angle EDC using:
EDC + CED + DCE = 180 --- angles in a triangle
This gives
EDC + 115 + 30 = 180
Evaluate
EDC = 35
Opposite angles of quadrilaterals add up to 180.
So, we have:
x + EDC + ABC = 180
This gives
x + 35 + 25 + 75 = 180
Evaluate
x = 45
Hence, the value of x is 45
The value of x in (b)Start by calculating the angle DEC using:
DEC + CDE + EED = 180 --- angles in a triangle
This gives
DEC + 18 + 30 = 180
Evaluate
DEC = 132
Vertical angles are equal.
So, we have:
AEB = DEC = 112
Calculate angle EAB using:
EAB + AEB + ABE = 180 --- angles in a triangle
This gives
EAB + 112 + 42 = 180
Evaluate
EAB = 26
Triangle ABC is an isosceles triangle.
So, we have:
BCE = EAB = 26
Calculate angle CBE using:
CBE + BCE + CEB = 180 --- angles in a triangle
Where CEB = 180 - DEC --- angle on a straight line
So, we have:
CBE + BCE + 180 - DEC = 180
This gives
CBE + 26 + 180 - 112 = 180
Evaluate
CBE = 86
Opposite angles of quadrilaterals add up to 180.
So, we have:
x + EDC + ABC = 180
This gives
x + 18 + 42 + 86 = 180
Evaluate
x = 34
Hence, the value of x is 34
Note that the figures are labeled to ease explanation (see attachment)
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Which segments are perpendicular?
Answer: B
Step-by-step explanation:
Angles that measure 90 degrees, angles that measure 90 degrees are right angles, and perpendicular lines form right angles.
Since angle EAB is a right angle, and it is formed by segments EA and AB, B is the answer.
In the third month of a study, a sugar maple tree is 82 inches tall. In the seventh month, the tree is 92 inches tall. Assuming the tree grows at a constant rate every month, what is the rule for the height of the tree during the nth month
The linear equation that gives the height on the x-th month is:
y = 2.5*x + 74.5
Which rule gives the height of the tree for the n-th month?
This will be modeled with a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that for a line with the points (x₁, y₁) and (x₂, y₂), the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we have the two points (3, 82) and (7, 92). Where the first value is the number of months and the second value is the height.
So the slope is:
[tex]a = \frac{92 - 82}{7 - 3} = 10/4 = 2.5[/tex]
Then the linear equation is:
y = 2.5*x + b
To get the value of b, we use the fact that when x = 3, we have y = 82,
82 = 2.5*3 + b
82 = 7.5 + b
82 - 7.5 = b = 74.5
Then the linear equation is:
y = 2.5*x + 74.5
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What is the slope of the line graphed below ? (3, 5); (0, 1); m = A 1/3 B. 3 C. - 3; - 1/3
Answer:
4/3 = m
Step-by-step explanation:
Since you have been given the value of two points, you can use the point-slope formula to find the slope. This general structure of this formula is:
y₁ - y₂ = m(x₁ - x₂)
In this equation, "m" represents the slope, "y₁" and "x₁" represent the values in the first point, and "y₂" and "x₂" represent the values in the second point,
To find the slope, substitute the values of each point into the formula and simplify.
Point 1: (3, 5)
Point 2: (0, 1)
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
5 - y₂ = m(3 - x₂) <----- Plug values from Point 1 into equation
5 - 1 = m(3 - 0) <----- Plug values from Point 2 into equation
4 = m(3 - 0) <----- Simplify left side
4 = m(3) <----- Simplify inside the parentheses
4/3 = m <----- Divide both sides by 3
I am almost certain that my math is correct, yet my answer does not match any of the answers given. Perhaps I have been given the wrong points? For instance, the answer would be A.) if the value of Point 2 was (0,4).
Is 10h - 10 equal to10 - 10h
Answer:no
Step-by-step explanation:
it’s equal to -10 + 10h by the commutativity of addition and subtraction
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
$46.272
Step-by-step explanation:
State the values of the angles below:
i) acute ∠AOB=
ii) acute ∠COD=
iii) acute ∠BOC=
iv) acute ∠AOD=
The values of the angles are
i) acute ∠AOB = 10°
ii) acute ∠COD = 25°
iii) acute ∠BOC = 40°
iv) acute ∠AOD = 75°
Calculating the measured of anglesFrom the question, we are to determine the measures of the angles
i) acute ∠AOB
From the given diagram,
∠AOB = 10°
ii) acute ∠COD
From the given diagram,
∠COD= 25°
iii) acute ∠BOC
From the diagram, we can write that
∠AOB+∠BOC+ ∠COD + ∠DOE = 90° (Angles at a right angle)
10° + ∠BOC + 25° + 15° = 90°
∠BOC + 50° = 90°
∠BOC = 90° - 50°
∠BOC = 40°
iv) acute ∠AOD
From the diagram,
∠AOD = ∠AOB + ∠BOC +∠COD
∠AOD = 10° + 40° + 25°
∠AOD = 75°
Hence, the values of the angles are
i) acute ∠AOB = 10°
ii) acute ∠COD = 25°
iii) acute ∠BOC = 40°
iv) acute ∠AOD = 75°
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The tree diagram represents an
experiment consisting of two trials.
Answer:
P(D) = 0.65
Step-by-step explanation:
it's like following a path on map
each line is like a street length
First, it's 0.5 to A and then 0.6 to D.
Then, it's 0.5 to B and 0.7 to D.
P(D) = (0.5 times 0.6) + (0.5 times 0.7) =
P(D) = 0.30 + 0.35 = 0.65
A tree diagram is simply a way of representing a sequence of events.
Tree diagrams are particularly useful in probability since they record all possible outcomes in a clear and uncomplicated manner.
like chance of getting heads or tails on coin flips
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math is fun
please help me with these questions????
Find the area of the blue region.
10 m
5.5 m
4m
A. 40 m²
B. 26.5 m²
C. 48 m²
D. 70 m²
7m
Answer:
the answer is 48m²
Step-by-step explanation:
mark me brainlist please!!
Solve for x. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer: 13.3
Step-by-step explanation:
Since angles in a triangle add to 180 degrees, we know that in triangle UWV, [tex]m\angle U=50^{\circ}[/tex]. Thus, the triangles are similar by AA.
Since corresponding sides of similar triangles are proportional,
[tex]\frac{x}{24}=\frac{20}{36}\\x=(20/36)(24)=\boxed{13.3}[/tex]
what is an arithmetic pattern
Your school has a massive gym. It is 16 feet by 24 feet. You
want to figure out how many stations for the fundraiser you
can have. All the tables are squares but come in different
styles. What is the greatest square table you can use?
The greatest square that the gym would be able to use is the one that is of 19.6sq/m
How to solve for the squareThe area of a triangle = L*W
= 24 * 16
= 384
To get the greatest square that can be gotten from the size of the gym would be
√384 = 19.6
Hence we can conclude that the greatest square table that can be used is 19.6 feet
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PLEASE HELP 100 POINTS:
Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750m. What is the percentage change in volume from cylinde
A to cylinder B?
50% decrease
75% decrease
50% increase
200% increase
Answer:
The percentage change in volume from cylinder A to cylinder B is 50% volume increased by 50% option (C) is correct.
What is a cylinder?
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the formula for the volume of the cylinder is given by:
We have r = 10 inches and h = 5 inches
V = 500π cubic inches
Percent change in volume from cylinder A to cylinder B:
= 50%
Thus, the percentage change in volume from cylinder A to cylinder B is 50% volume increased by 50% option (C) is correct.
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Step-by-step explanation:
will get brainliest if answered right. no smart remarks
Answer:
A.g, a.f ,a.b
Step-by-step explanation:
THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?
Answer:
(a) 128 ft
(b) 4 s
(c) Vertex: (1, 144)
Step-by-step explanation:
Given information:
h(t) = height in feett = time in seconds after the launchPart (a)The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).
Therefore, from inspection of the graph, the y-intercept is (0, 128).
So the height of the projectile at launch is 128 ft.
Part (b)The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).
From inspection of the graph, the x-intercept is (4, 0)
So the length of time it took for the projectile to land is 4 s.
Part (c)The vertex is the turning point (minimum/maximum point).
Therefore, from inspection of the graph, the vertex is (1, 144).
The vertex represents the time and height at which the projectile was at its maximum. So at the time of 1 second, the projectile was at its maximum height of 144 ft.
x divided by the sum of x and 5
Answer:
1 + 1/5xStep-by-step explanation:
x divided by the sum of x and 5
x : (x + 5) =
x × (1/1x^-1 + 1/5) =
1 + 1/5x
what is the sum of the ten thousand digit and the million's digit of 1,234,567,890
Answer: The ten thousand digit is 6. And the millions digit is 4. So the answer is 10.
solve pls brainliest
Answer:
c = 22 (= -18)c = 23 (< -18 because - goes down).4 - c ≤ -18Step-by-step explanation:
Solve for 1st answer:
4 - c = -18= 4 - 22 = -18= 0 - 18 = -18 (Basically subtract 4 from 22)= -18c = 22Solve for 2nd answer:
4 - c < -18= 4 - 23 < -18= 0 - 19 < -18= -19c = 23Actual answer:
4 - c ≤ -18.An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate the height of the solid.
6 meters
5 meters
8 meters
7 meters
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
What is the height of the oblique cylinder?From Cavalieri's principle, the volume of an oblique cylinder is expressed as;
V = base area × h
V = πr² × h
Given that;
Radius r = 9cmVolume of the oblique cylinder V = 486πcm³Height of the oblique cylinder h = ?V = πr² × h
486πcm³ = π × ( 9cm )² × h
486πcm³ = π × 81cm² × h
486πcm³ = 81πcm² × h
h = 486πcm³ / 81πcm²
h = 6cm
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
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Naomi's car exponentially depreciates at a rate of 8% per
year. If Nina bought the car when it was 4-years old for $16,500, what was
the approximate original price of the car?
The approximate original price of the car is $23032
How to determine the original price?The given parameters are:
Rate, r = 8%
Price at 4 years old = 16,500
An exponential function is represented as:
y = a(1 - r)^x
Where a represents the initial value
This gives
y = a(1 - 8%)^x
Evaluate
y = a(0.92)^x
At 4 years old, we have:
16500 = a(0.92)^4
Divide both sides by (0.92)^4
a = 23032
Hence, the approximate original price of the car is $23032
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Freda waves a small flag pennant when her favorite player hits a grand slam. approximately how much fabric in square inches is used to make up the flag on her pennant
Answer: 15 inches
Step-by-step explanation:
Answer:
In a right triangle, the hypotenuse, 2x, is equal to twice the length of the shortest leg, x, and the longer leg is equal to the product of the length of the shortest leg, x, and the square root of 3.
Hypotenuse: 10 in.
Shortest Leg:2x=10 , so x=5 in,
Longer Leg: x sq rt 3 5 sq rt 3 in
area- 1/2 bh, 1/2 5*5 sq rt 3=
25t sq rt 3=21.65 sq inches
The hour and minute hands of a clock form an angle that constantly changes. During each hour of the day, the clock hands will form right, acute, and obtuse angles. Assume the hour hand points directly at the hour.Write a time of day when the two clock hands form each type of angle
The each type of angle are discussed below
What is angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
If the hours hand point to the hour 1 and minute hand at 12 then
angle will be acute.
If the hours hand point to the hour 2 and minute hand at 12 then
angle will be acute.
If the hours hand point to the hour 3 and minute hand at 12 then
angle will be right angle .
If the hours hand point to the hour 4 and minute hand at 12 then
angle will be obtuse.
If the hours hand point to the hour 5 and minute hand at 12 then
angle will be obtuse.
If the hours hand point to the hour 6 and minute hand at 12 then
angle will be straight angle .
If the hours hand point to the hour 7 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 8 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 9 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 10 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 11 and minute hand at 12 then
angle will be reflex.
If the hours hand point to the hour 12 and minute hand at 12 then
angle will be Complete angle.
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Whoever answers correctly gets 100 points and BRAINLIEST
Item 18
A trash can is shaped like a right rectangular prism. It has a base area of 3 square feet and a height of 314 feet.
What is the volume of the trash can?
4 7/8 ft³
6 1/4ft³
9 3/4ft³
12 1/2 ft³
Answer:
I think you may have made a typo, as it is extremely unlikely that a trashcan is 314 feet tall. I will assume that you meant 3.14 feet.
Step-by-step explanation:
We already have the base, so we can already cut out one step. If we were not given the base, however, we would simply multiply the length by the width of the prism. Next we multiply the base by the height (3 X 3.14) to get the volume of the prism, 9.42 cubic feet. In the case that there was no typo, and 314 was the correct height, the volume would be 942 cubic feet.
Volume
Base area×Height3×314942ft³But unfortunately there is no option Present .
Let's correct question
make height =3.14ft
Volume=
9.42ftSome how nearly present is 9-3/4 ft³ i.e 9.75ft³
We write the integers from 1 to 150 inclusive. What is the total number of digits that must be written?
Answer:
342
Step-by-step explanation:
First, there are 9 one-digit numbers, so 9x1=9. Next, there are 90 two-digit numbers, so 90x2=180. There are 51 numbers between 100-150, so 51x3=153. Now, we do 9+180+153=342 digits.
Answer:
Step-by-step explanation:
Solution
Break the numbers down by the number of digits in that sequence.
Number of digits 1 to 9 = 9
Number of digits from 10 to 99
There are 90 numbers between 10 and 99
Each has 2 digits
The total number of digits is 180
Number of digits from 100 to 150
There are 51 numbers between 100 and 150
Each has 3 digits
The total number of digits = 3*51 153 Add
Total number of digits = 342
Answer: 342
divide $8 in the ratio 2:3
Answer:
3.2$ and 4.8$Step-by-step explanation:
divide $8 in the ratio 2:3
8 : (2 + 3) = 1.6 (unity)
1.6 * 2 = 3.2 (ratio2)
1.6 * 3 = 4.8 (ratio 3)
----------
3.2 + 4.8 = 8
the answer is good
Combine like terms 2x - 5x
Answer:
-3x
Step-by-step explanation:
its just like regular subtraction, 2-5= -3, and just add an X at the end and you get -3x.
Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3 ? (1 point)
A. 27 to the power of 1 over 3 equals 9 to the power of 3 to the power of 1 over 3 equals 9 to the power of 3 multiplied by 1 over 3 equals 9
B. 27 to the power of 1 over 3 equals 3 to the power of 9 to the power of 1 over 3 equals 3 to the power of 9 multiplied by 1 over 3 equals 3
C. 27 to the power of 1 over 3 equals 3 to the power of 4 to the power of 1 over 2 equals 3 to the power of 4 multiplied by 1 over 2 equals 9
D. 27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3
Answer:
D
Step-by-step explanation:
it shows the correct one
Which of the following tables represent a function?
A.
X 3 3 4 4
Y 2 -2 3 -3
B.
X 5 -5 5 -5
Y 2 2 8 8
C.
3 3 5 5
Y 4 5 6 7
D.
X 4 -4 5 -5
Y 2 2 3 3
The 2 because I am goated
Step-by-step explanation:
Write the following ratio using two other notations. 7:6 Use only the numbers above (not any others).
[tex]\textbf{Notation one:}~~ \dfrac 76\\\\\textbf{Notation two:} ~ \text{7 to 6}[/tex]