Answer:
For every 92 cats in the city pound, there are 144 dogs.
OR
For every 144 dogs in the city pound, there are 92 cats
Step-by-step explanation:
You didn't provide the options, so that was my best shot at it.
in the diagram, triangle ABC is similar to triangle EDC. a. is line AB parallel to line DE? b. show that triangle ACD is similar to triangle ECB. c. find the measure of angle CAD. d find line ED. e. find line AD explain your reasoning
The measure of the angle CAD is 40 degrees, the length of ED is 12 units, and the length of AD is 12 units.
What is the similarity law?It is defined as the law to prove that the two 2-dimensional have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Triangle ABC ~ EDC
Angle ACD = Angle BCE = 90 degree (vertically opposite angle)
Angle ACB = Angle DCE = 90 degree (vertically opposite angle)
BE ║ AD
Angle EBC = Angle CDA = 40 degree (alternative angles)
Triangle ABC ~ Triangle EDC
Angle ABC = Angle CDE
Angle BAC = Angle DEC
∴ AB ║ DE
Triangle ACD ~ Triangle ECB
Angle EBC = Angle CDA and
Angle BEC = Angle CAD
∴ Triangle ACD ~ Triangle ECB
Angle A + Angle E = 180 degree
∠x + 50 + 50 + ∠x = 180
∠x = 40
Angle CAD = 40 degree
We know,
Angle A = Angle E = Angle B = Angle D = 90 degree
So ABCD is a square
AB = ED = 12
AD = AB = BE = ED = 12
Thus, the measure of the angle CAD is 40 degrees, the length of ED is 12 units, and the Length of AD is 12 units.
Learn more about the similarity here:
brainly.com/question/8045819
#SPJ1
edg vector operations, any help appreciated!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Vector d can be represented as :
[tex]\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j[/tex]
Vector c can be represented as :
[tex]\qquad \tt \rightarrow \: 4 \hat i + 4\hat j[/tex]
we have to create vector d from vector c
So, let's assume a vector x, such that sum of vector x and vector c equals to vector d
[tex]\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)[/tex]
[tex]\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j[/tex]
Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
please place the dot for me(20 points will give brainliest!!!)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:\dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{4 + \sqrt{45} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{4}{6} + \cfrac{ \sqrt{45} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{3 \times 3 \times 5} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ 3\sqrt{5} }{6} [/tex]
[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
(-4,3)
-5-4-3
24
5
432
-14
-2
-3-
A
(0,1)
1 2
(4,-1)
Which linear function is represented by the graph?
Of(x) = -2x + 1
Of(x)=x+1
O f(x) = x+1
Of(x)=2x+1
Answer: [tex]f(x)=-\frac{1}{2}x+1[/tex]
Step-by-step explanation:
The slope is [tex]\frac{-1-1}{4-0}=-\frac{1}{2}[/tex], which matches the second option.
Linear function that is represented by the graph is f(x)= -1/2 x+1.
Here, we have,
From the graph,
y - intercept of the linear function is 1 , i.e. c = 1
and there are two points on the line (-4, 3), (4, -1)
We can get the equation of line by applying slope-intercept formula,
Slope of the line,
m = y₂ -y₁ / x₂-x₁
so, we get,
m = -1 -3 / 4 + 4
= -4/8
= -1/2
Now applying slope-intercept formula,
y = mx+c
Putting the values,
=> y = -1/2 x + 1
=>f(x) = -1/2 x + 1.
Therefore, linear function that is represented by the graph is
f(x) = -1/2 x + 1.
To learn more on slope click:
brainly.com/question/3605446
#SPJ5
A thin silver disc of diameter 10 cm costs # 3 300. What is the cost per m²
Answer:
The diameter is 10 cm. the radius is 5 cm. the area is πr² = π x 5² = 78.5 cm².
1 m² = 10,000 cm².
78.5/10,000 = 3,300/n n is the cost per square meter.
78.5n = 10,000 x 3300
n = 420,382.1656
The cost per square meter is $420,382.17.
Make m the subject of the equation
(a) 5(m + y) = 4(m - 3y)
Answer:
m=(-5y-3y)
Step-by-step explanation:
5m+5y=4m-3y
5m-4m=-5y-3y
m(5-4)=-5y-3y
m=(-5y-3y)/1
There is a lighthouse that is 25 meters tall and a boat is sinking 204 meters away from the lighthouse. To the nearest whole degree, what is the angle of depression from the top of the lighthouse to the sinking boat?
The angle of depression from the top of the lighthouse to the sinking boat is 6.9°.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
Height of lighthouse, AC = 25 meters
Distance of boat from the lighthouse, BC = 204 meters
The angle of depression from the top of the lighthouse to the sinking boat is;
[tex]\rm tan \theta = \frac{P}{B} \\\\ \rm tan \theta = \frac{AC}{BC} \\\\ tan \theta = \frac{25}{204} \\\\ \theta = tan^{-1}(0.12)\\\\ \theta = 6.9 ^0[/tex]
Hence, the angle of depression from the top of the lighthouse to the sinking boat is 6.9°
To learn more about trigonometry, refer to the link https://brainly.com/question/26719838.
#SPJ1
Camille bought 120 doughnuts for $60. Her profit was $48 once she sold 80 doughnuts. Write an
equation that represents Camille's profit P, as a function of the number of doughnuts sold, n.
PLEASE HELP WITH SHOWED WORK!!!
The equation that represents Camille's profit p as a function of the number of doughnuts sold, n is P = 1.35n - 60
How to represent an equation ?She bought 120 doughnuts for $60.
Therefore,
cost = $60
Her profit was $48 once she sold 80 doughnuts.
p = profit
n = number of doughnuts sold.
Therefore,
let
x = amount she is selling each doughnuts
p = nx - 60
Using the information given we have:
48 = (80x) - 60
Therefore,
x = $1.35
Hence, for any number of doughnuts then, we have the profit equation as follows:
P = 1.35n - 60
learn more equation here: https://brainly.com/question/21691697
#SPJ1
Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1
Answer:
a and b
Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2
This is a Math question.
Please explain how you can graph points on a coordinate plane to create
geometric figures such as squares, triangles, rectangles, and
parallelograms.
A figure can be graphed on a coordinate plane as a set of points located on specific places, specified by their coordinates.
How to draw graph on cartesian coordinate plane?The cartesian coordinate plane is an infinite 2 dimensional plane and each point of a cartesian plane is tracked by a location.
Now, the perpendicular distance of point from the horizontal axis and vertical axis are respectively usually named x-axis and y-axis. The location is then written as (a,b) where;
a is that point's shortest distance from the y-axis and called x-coordinate of that point.
b is that point's shortest distance from the x-axis, and called y-coordinate of that point.
Thus, those given geometric figures can be graphed on a coordinate plane as a set of points located on specific places, specified by their coordinates.
Read more about cartesian Coordinates at; https://brainly.com/question/2141683
#SPJ1
I'm having trouble with inequalities, any help will be appreciated, thanks.
Answer:
-3/2 ≤ x < 5
Decimal form:
-1.5 ≤ x < 5
(hope this helps)
Help me out!!!!!!!!!!!!!
Answer:
Add all of the sides up:
x^2 + y + 6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2
= 5x^2 + 12x + 2y^2 + 5y
Use the given graph to determine the limit, if it exists.
The limit [tex]\lim_{X \to \ 3^{-} } f(x)[/tex] is equal to -1 to infinity for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-3 to infinity the range is from -1 to -infinity and from 3 onwards it is a straight line at y=-4. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Hence the limit is equal to (-infinity,-1]
Learn more about functions at brainly.com/question/10439235
#SPJ10
The Law of Sines is used to solve missing side lengths in oblique triangles classified as SSS and SSA
True
False
Answer:
only AAS,ASA and SSA Are classified
It's false
Step-by-step explanation:
please mark me as brainlest
False
SSS is not classifiedThe key reason is the formula 's limitations
It need angle for ØAs SSS means only three sides and no angles are given Law of sines can't be used
The x-coordinate of the point (50, 55) is ___________.
The x-coordinate of the point (50, 55) is 50
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The distance of point (50, 55) perpendicular to y-axis
Thus, perpendicular distance = 50 units
The x-coordinate of the point (50, 55) is 50
Learn more about graph
brainly.com/question/16608196
#SPJ2
Need help urgently please
A laptop costs £600
Students get a 5% discount.
How much discount will a student get?
Answer:
cost price = £ 600
discount = 5%
selling price =
5/100 * 600.
5 * 6
30 £
price = 600 - 30
= 570
Convert the angle from radians to degrees: [tex]\frac{5}{6}\pi[/tex] with working
Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C , ,
The least to greatest slope, the segments are B, C and A.
Given that,
Segments A, B, and C on the graph below represent the water level of the tank every minute since it started filling.
A graph shows the water level needed to fill the tank on the y axis per unit of time on the x axis.
The segment's slope indicates how quickly the water level is rising. The slope, which is determined by the segment's angle with the positive x axis, is the ratio of rise to run.
slope of segment A = 60₋10/2 = 25
slope of segment B = 80₋60/4 = 5
slope of segment C = 110₋80/3 = 10
We can see that section B has the least slope, followed by segment C, and then segment A, which has the greatest slope.
B, C, and A are the segments in descending order of least to greatest slope.
Learn more about "Slope problems" here-
brainly.com/question/3493733
#SPJ10
What is 35.43 rounded to the nearest hundredth’s
Answer:
it already is rounded up to the nearest hundredth
Step-by-step explanation:
write the equation of the line that contains (-4, -3) and is parallel to the line x+2y=-10
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you with this problem. We can solve this problem in 2 steps, respectively Theory and Solving.
I'll go ahead and start with the Theory.
TheoryBefore we attempt to solve the problem mathematically, we must first figure out how we're going to solve this problem.
We know that we have a line and a point, we can start by graphing the equation and point that we've received.
SolvingNow that we have our points plotted and our equations graphed, we can start to see that something odd is happening, the given point is on the line itself.
We can check this by inputting the points into our equation:
[tex](-4)+2(-3)=-10?\\(-4)+(-6)=-10?\\-10=-10[/tex]
This proves that our point is on the line that we were given.
According to the basic rules of Euclidean Geometry, we know that parallel lines can never intersect each other and due to this there cannot be any solution to this problem.
Any other line using this point would intersect the given line, and due to this, this problem has no real solutions.
* The only line that can use these points and graph is the line provided, and that cannot work due to the lines intersecting at an infinite number of points.
Cheers,
Galaxy.
find the inequality for 20 points pls
First find the Slope-intercept form of the graph:
b=1
Given the points: (0,1)&(3,0)
slope= [tex]\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}[/tex]
The line is not a dashed line, so that means the values on the slope (blue) are also counted
All the y values below the slope are counted, the inequality is:
y[tex]\leq \frac{-1}{3}x +1[/tex]
Hope it helps!
HELP
Can someone help me with number 26 plss
Answer:
(-2,-9)
(-1,8)
(0,-5)
(1,0)
(2,7)
Step-by-step explanation:
What is the equation of the quadratic function shown in the graph?
Answer: f(x) = -2 (x+3) (x-1)
Step-by-step explanation: See Attachment
The Great Pyramid of Giza in Egypt is a square pyramid. The height is approximately 450 feet, and the side length of the base is approximately 750 feet. What is the lateral surface area of the pyramid rounded to the nearest thousandth?
The lateral surface area of the Pyramid will be 850547 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.
The lateral surface area will be calculated as:-
A = [tex]= l\sqrt{(\dfrac{w}{2})^2+h^2} + w\sqrt{(\dfrac{l}{2})^2+h^2}[/tex]
A = [tex]= 750\sqrt{(\dfrac{750}{2})^2+450^2} + 750\sqrt{(\dfrac{750}{2})^2+450^2}[/tex]
A = 750 √321525 + 750 √321525
A = 150 √√321525
A = 1500 x 567.031
A = 850547 square feet
Therefore the lateral surface area of the Pyramid will be 850547 square feet.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ1
Which statements describe a triangular prism? Select three options. It has one base. It has two bases. It has three lateral faces. It has four lateral faces. Its lateral faces are rectangular.
The statements that describe a triangular prism are:
It has one base. It has three lateral faces. Its lateral faces are rectangular.What is a triangular prism?A triangular prism is a three-dimensional object that is made up of one base that has the shape of a triangle and three lateral sides that have the shape of a rectangle. A triangular prism has 5 faces, 9 edges and 6 vertices.
To learn more about prisms, please check: https://brainly.com/question/13048128
#SPJ1
Please help I can’t figure it out
Answer: -4
Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.
The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.
simplify 2e + 3f + 7e + 5f
Please help me with this question!
The diameter of the sphere is 14 cm.
What is a sphere ?Sphere is a three dimensional object , it has no edges or vertices and is round in shape.
The surface area of the sphere is given by 4πr²
As radius = diameter /2
Surface area = 4π r²
196 π = 4π *(d/2)²
196/4 = d²/4
49 *4 = d²
d = 14 cm
Therefore the diameter of the sphere is 14 cm.
To know more about Sphere
https://brainly.com/question/11374994
#SPJ1
Can You Please Help Me, I Would Really Appreciate It!!
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ solve for 'x'
Let's solve:
[tex]x^2-2x+3=-2x+12\\x^2-2x+2x+3-12\\x^2-9=0\\(x+3)(x-3)=0[/tex]
Let's find the x-values:
[tex](x+3)=0\\x=-3\\\\(x-3)=0\\x+3[/tex]
Let's find f(x)'s value for each 'x':
[tex]x=-3\\f(-3)=-2(-3)+12=6+12=18\\\\x=3\\f(3)=-2(3)+12=-6+12=6[/tex]
Answer: (3, 6), (-3,18)
Hope that helps!
#LearnwithBrainly