Answers
Answer:
c
Step-by-step explanation:
Oblique Asymptotes
R(x) will have oblique asymptote if it can be represented in the form
1 / (Q)x
Related Questions
50 POINTS! Plot function h on the graph.
NO LINKS
Answers
See attachment for the graph of the piecewise function h(x)
How to plot the function?The function is given as:
h(x) = | -4, x < 3
| x + 5, x >= 3
The above function is a piecewise function.
It has 2 separate functions at two domains
This means that we plot the sub-functions in the piecewise function at their respective domain
See attachment for the graph of the piecewise function h(x)
Read more about piecewise function at:
https://brainly.com/question/27262465
#SPJ1
Please help me w this question! ASAPP
Answers
Answer: None of these are correct
Step-by-step explanation:
I believe that the equation is showing transitive property.
George paid a total of $985 to rent a storage unit.
He initially paid $290 plus an extra amount for
each month that he rented the storage unit. Write
an equation to find the extra amount George paid
each month if he had the storage unit for 5 months.
[?] + 5m= [ ]
Answers
Answer:
290 + 5m = 985
Step-by-step explanation:
Given information:
Initial payment = $290Total payment = $985Extra amount each month = mLength of rental = 5 monthsFrom the given information, we can create the following equation:
Initial payment plus extra amount each month for 5 months equals total payment.
⇒ 290 + 5m = 985
To solve the equation:
Subtract 290 from both sides:
⇒ 290 + 5m - 290 = 985 - 290
⇒ 5m = 695
Divide both sides by 5:
⇒ 5m ÷ 5 = 695 ÷ 5
⇒ m = 139
Therefore, the extra amount George paid each month was $139.
Answer: [tex]\Large\boxed{290+5m=985}[/tex]
Step-by-step explanation:
Given information
Initial cost = $290
Total cost = $985
Number of months = 5 months
Cost each month = ?
Set variable
Let [ m ] be the cost each month
The equation in verble sense
Initial paid + Extra each month = Total cost
Convert verbal equation to mathematical sense
$290 + 5m = $290
Therefore, to find the extra amount paid each month, the equation is [tex]\Large\boxed{290+5m=985}[/tex]
---------------------------------------------------------------------------------------------------------
EXTRA The following will be solving the derived equation, please ignore this part if it is useless for you.
Given equation
290 + 5m = 985
Subtract 290 on both sides
290 + 5m - 290 = 985 - 290
5m = 695
Divide 5 on both sides
5m / 5 = 695 / 5
m = $139
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP ME WITH THIS PROBLEM!!!
Answers
Answer: Moderate negative association
Step-by-step explanation:
a negative association or in other terms correlation, suggests that while one variable increases the other decreases and vice versawhen looking at the graph, the data shows a negative correlationas the x variable increases the y variable decreasesthis not a perfect correlation as the the change in value of variable x is not directly proportional to the change in value of yFind the product of the complex numbers. Express your answer in trigonometry form. Z1= 7cos(15) + isin(15)) z2= 2(cos(110)+ isin(110))
Answers
Answer:
14(cos(125°) +i·sin(125°))
Step-by-step explanation:
The product of two complex numbers is the product of their magnitudes at an angle equal to the sum of their angles.
ApplicationFor A = a·cis(α) and B = b·cis(β), the product AB is ...
AB = (a·cis(α))·(b·cis(β)) = ab·cis(α+β)
where "cis(x)" stands for the sum (cos(x) +i·sin(x)).
The product of interest is ...
Z1·Z2 = (7cis(15°))·(2cis(110°)) = (7·2)cis(15°+110°)
Z1·Z2 = 14cis(125°) = 14(cos(125°) +i·sin(125°))
In the circle below, O is the center and mGl= 145°. What is the measure of the central angle ZGOR? H G 0 145° I
Answers
The measure of the central angle is 290 degrees
How to determine the measure of the central angle?The measure of arc GI is given as:
mGI = 145 degrees
The measure of the central angle is calculated as:
Central angle = 2 * mGI
Substitute the known values in the above equation
Central angle = 2 * 145
Evaluate the product
Central angle = 290
Hence, the measure of the central angle is 290 degrees
Read more about central angles at:
https://brainly.com/question/16736105
#SPJ1
Can someone help on this?
Answers
Step-by-step explanation:
this just means that the first function with input value x = 0 is calculated. that result becomes the input value x for the second function. and that result becomes the input value x for the 3rd function. and that result is then our result.
to answer a and b we only need to look at the main operation of each function :
the first one uses only basic multiplication and subtraction.
the second one uses squaring.
the third one is a 1/x operation.
a.
since the final result is a negative number (-31), the second function with the square operation cannot be last.
because a square operation always delivers a positive result.
+a × +a = +a²
-a × -a = +a²
remember, for a square operation we multiply the same number by itself. therefore we cannot mix signs like -a × +a, because then they would not be the same numbers anymore.
b.
since the initial input value is 0, the third function (1/x) cannot be the first, because 1/0 is not defined.
c.
because of the "large" -32 term in the first function I guess that this will be the last one to create such a low negative result of -31.
since 1/x cannot be first, (x - 2)² is then first. that makes 1/x second, and (4x - 32) third, as mentioned.
let's try :
x = 0
(x - 2)² = (0 - 2)² = (-2)² = 4
x = 4
1/x = 1/4
x = 1/4
4x - 32 = 4×1/4 - 32 = 1 - 32 = -31
hurrah ! we are correct !
Which of the following is a whole number that can be divided into another given
number without leaving a remainder?
Term
Multiple
Factor
Variable
Answers
Answer:
(c) Factor
Step-by-step explanation:
The constituents of a product are its factors.
Dividing a product by one of its factors will not leave a remainder.
__
A term is a constant or product of one or more variables and a constant. For example, -4 and 24xy are both terms.
A multiple is a product with one factor being an integer. For example, 3×1.5 = 4.5 is a multiple of 1.5.
A variable is a symbol for an unknown value. Commonly, a variable is a single letter, but may also be a blank (__) or a question mark (?). Sometimes a word or phrase is used as a variable. For example, ...
3 + x = 5
3 + __ = 5
3 + ? = 5
3 + (some number) = 5
need heeeelp please
Answers
Answer:
please how
Step-by-step explanation:
I will help ypu
Half a foot by a quarter of a foot by 3/4 of a foot fraction
Answers
Step-by-step explanation:
x×1/2×1/4×3/4
x×3/32
3/32x
A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is 6371 kilometers.).
Answers
The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.
What is the distance in kilometres covered by the satellite after 8 revolutions?Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;
D = 6371 + (343)×2
Hence, we have; diameter, D = 7057 km.
Hence, the distance travelled after 8 revolutions is;
C = 8 × πd
C = 8 × 3.14 × 7057
C = 177,271.8 km.
Read more on circumference of a circle;
https://brainly.com/question/20489969
#SPJ1
Let x, y, z be three natural numbers such that x < y < z. If GCF(x, y, z) = 3, GCF (y, z) = 15, LCM (x, y, z) = 3150, and x is even number greater than 10, then find the values of x, y and z.
Answers
Answer:
one of several possible solutions :
18, 75, 105
Step-by-step explanation:
prime factors of 3150 :
3150 ÷ 2 = 1575
1575 ÷ 2 no
1575 ÷ 3 = 525
525 ÷ 3 = 175
175 ÷ 3 no
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 5 no
7 ÷ 7 = 1
3150 = 2¹ × 3² × 5² × 7¹
these are the product of the longest streaks of prime factors in x, y and z.
the GCF(y, z) = 15.
the prime factors of 15 are simply 3¹×5¹.
so, y and z share only the factors 3 and 5.
the GCF(x, y, z) = 3.
since x is an even number, the elimination of 5 in the GCF is not surprising.
let's try the following :
x = 2¹ × 3² = 2×9 = 18
y = 3¹ × 5² = 3×25 = 75
z = 3¹ × 5¹ × 7¹ = 3×5×7 = 105
that uses all the factors of 3150, and their LCM is as the product of the longest streaks of their prime factors is
2¹ × 3² × 5² × 7¹.
fits.
the GCF(75, 105) is the product of the prime factors they have in common : 3¹ × 5¹ = 15.
fits.
the GCF(18, 75, 105) is the product of the prime factors ask 3 numbers have in common, which is only 3¹ = 3.
fits.
18 < 75 < 105
fits.
18 is an even number greater than 10.
fits.
there are more than 1 solutions.
e.g.
z = 2¹ × 3¹ × 5¹ × 7¹ = 210
is also possible.
(02.03)
Figure ABCD is transformed to A′B′C′D′, as shown:
A coordinate plane is shown. Figure ABCD has vertices A at 3 comma 1, B at 3 comma 4, C at 5 comma 5 and D at 5 comma 3. Figure A prime B prime C prime D prime has vertices A prime at negative 5 comma 1, B prime at negative 5 comma 4, C prime at negative 7 comma 5 and D prime at negative 7 comma 3.
Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD? (4 points)
Group of answer choices
Reflection about the x-axis followed by a translation right by 2 units
Reflection about the y-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answers
The sequence of transformation carried out on ABCD is; B: Reflection about the y-axis followed by a translation left by 2 units
What is the type of Transformation used?
As in rotation, reflection and translation the transformed image is congruent to the original figure (i.e all the points undergo same change). Thus, analyzing any one point will give the series of transformation undertaken.
Taking point A(3, 1) into consideration; Reflecting a point (x, y) over y axis, it becomes (-x, y).
Thus, reflecting A(3, 1) over y - axis gives the the new coordinates as (-3, 1)
Now, translating a point (x, y) k units left, gives a new coordinate (x - k, y).
Thus, translating point (-3, 1) 2 units left, gives the new coordinates as A'(-5, 1).
This is the coordinates for A'.
Thus, we can conclude by saying that the sequence of transformation carried out on ABCD is reflected about the y-axis followed by a translation left by 2 units.
Read more about Transformation Types at; https://brainly.com/question/4289712
#SPJ1
Inverse Functions: Mastery Test
Select the correct answer.
Consider this function.
f(x) = -3z + 3
Which graph represents the inverse of function f
Answers
The inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]x=g(y)=-\frac{y}{3}+1[/tex].
How to find the inverse of a function of type y=f(x)=ax+b?An inverse function is a function that undoes the action of another function. For example, if the function [tex]f[/tex] produces the number [tex]y[/tex] after applying on [tex]x[/tex] i.e., [tex]y=f(x)[/tex], then the inverse function of [tex]f[/tex], which is denoted by [tex]f^{-1}[/tex], produces [tex]x[/tex] after applying on [tex]y[/tex] i.e., [tex]f^{-1}(y)=x[/tex].To find the inverse of a function of type [tex]y=f(x)=ax+b[/tex], we just need to rewrite the equation as [tex]x=g(y)[/tex] which can be illustrated as follows: [tex]y=ax+b\Longrightarrow x=\frac{y}{a}-\frac{b}{a}[/tex] i.e., [tex]g(x)=\frac{x}{a}-\frac{b}{a}[/tex] is the inverse function of [tex]f(x)=ax+b[/tex].Here, the given function is [tex]f(x)=-3x+3[/tex].
Then we get:
[tex]y=-3x+3\\\Longrightarrow x=-\frac{y}{3}+1[/tex]
Thus, the inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]g(x)=-\frac{x}{3}+1[/tex].
The graph representing this inverse function is given as follows:
To know more about inverse function, refer: https://brainly.com/question/3831584
#SPJ9
help urgently need help
Answers
Answer:
[tex]y=\dfrac{8}{7}x - \dfrac{23}{7}[/tex]
Step-by-step explanation:
Rearranging the terms, we get [tex]7y=8x-23[/tex]. Dividing both sides by 7, we get [tex]\dfrac{7y}{7} = \dfrac{8x-23}{7}[/tex], so [tex]\boxed{y=\dfrac{8}{7}x - \dfrac{23}{7}}[/tex]
Answer:
y = [tex]\frac{8}{7}[/tex]x -[tex]\frac{23}{7}[/tex]
Step-by-step explanation:
You are changing this to the slope-intercept form of a line.
y = mx + b
8x -7y = 23 Subtract 8x from both sides of the equation
-7y = -8x + 23 Divide both sides of the equation by -7
y = [tex]\frac{-8}{-7}[/tex] - [tex]\frac{23}{7}[/tex]
[tex]\frac{-8}{-7}[/tex] is the same as [tex]\frac{8}{7}[/tex]
y = [tex]\frac{8}{7}[/tex]x - [tex]\frac{23}{7}[/tex]
4 1/3 - 1 2/3 how to solve this please
Answers
Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
1) Convert [tex]4\frac{1}{3}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].
[tex]\frac{4\times3+1}{3} -1\frac{2}{3}[/tex]
2) Simplify 4 * 3 to 12.
[tex]\frac{12+1}{3}[/tex]
3) Simplify 12 + 1 to 13.
[tex]\frac{13}{3} -1\frac{2}{3}[/tex]
4) Convert [tex]1\frac{2}{3}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].
[tex]\frac{13}{3} -\frac{1\times3+2}{3}[/tex]
5) Simplify 1 * 3 to 3.
[tex]\frac{13}{3} -\frac{3+2}{3}[/tex]
6) Simplify 3 + 2 to 5.
[tex]\frac{13}{3} -\frac{5}{3}[/tex]
7) Join the denominators.
[tex]\frac{13-5}{3}[/tex]
8) Simplify.
[tex]\frac{8}{3}[/tex]
9) Convert to mixed fraction.
[tex]2\frac{2}{3}[/tex]
(Decimal Form: 2.666667)
Thank you,
Eddie
Please help! Help Will Give 100 PTS
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
Square Root 3x+12 = 9
Answers
Answer:
x = 23; not extraneous
Step-by-step explanation:
A solution is extraneous if it does not satisfy the original equation. Extraneous solutions can sometimes be introduced in the process of solving radical and rational function equations.
SolutionSquaring both sides of the given equation, we get ...
√(3x +12) = 9
3x +12 = 81 . . . . . . square both sides
x +4 = 27 . . . . . . . divide by 3
x = 23 . . . . . . . . . . subtract 4
CheckThere is only one solution, and it satisfies the equation:
√(3×23 +12) = √81 = 9
The solution x = 23 is not extraneous.
Answer: x = 23; not extraneous
Step-by-step explanation:
The legs of a right triangle measure 3 cm and 8 cm. What is the length of the hypotenuse?
Answers
Can anyone please help me with this assignment
Answers
1. The sentences translated to equations looks like:
a) 4x = 32.
b) x + 6y = 43.
c) 3x + 7 = 9x - 4.
d) 76 - 2x = 8x.
2. The equations translated to sentences looks like:
a) The sum of 16 and 9 times x is 50.
b) The sum of the square of x and 6 times y is 4 times w.
c) Three times x is 52.
d) Five-sixth is equal to the product of -10 and x.
Practice Part 1: Translate sentence to equation
a)Four times a number is thirty-two.
Assuming the number to be x, we get the equation, 4x = 32.
b)The sum of and six times is equal to forty-three.
The sentence, when translated to an equation looks like, x + 6y = 43.
c)The sum of 7 and three times equals the difference of 9 times and 4.
The sentence, when translated to an equation looks like, 3x + 7 = 9x - 4.
d)Two times less than 76 is equal to the product of 8 and
The sentence, when translated to an equation looks like, 76 - 2x = 8x.
Practice Part 2: Translate equation into sentence
a) 9x + 16 = 50.
- The sentence for the given equation is, the sum of 16 and 9 times x is 50.
b) x² + 6y = 4w.
- The sentence for the given equation is, the sum of the square of x and 6 times y is 4 times w.
c) 3x = 52.
- The sentence for the given equation is, three times x is 52.
d) 5/6 = -10x.
- The sentence for the given equation is, five-sixth is equal to the product of -10 and x.
Learn more about translating sentences and equations at
https://brainly.com/question/13155862
#SPJ1
Write the following number in scientific notation.
788,000
Answers
Because 788 x 1000 = 788000
Answer:
788,000 =
788 x 10^3
78.8 x 10^4
7.88 x 10^5
.788 x 10^6
and so on
Tami earned $20.64 in simple interest by investing a principal of $400 in a Treasury bill.
If the interest rate was 1.72%/a, for how many years did she have her investment?
Answers
The number of years she had her investment is after 3 years
How to determine the years of investment?From the question, the given parameters are:
Principal Amount, P = $400Interest Rate, r = 1.72%Simple Interest, I = $20.64The number of years (T) is calculated from the following simple interest formula
I = PRT
Substitute the given parameters in the above equation
20.64 = 400 * 1.72% * t
Express 1.72% as decimal without percentage
20.64 = 400 * 0.0172 * t
Evaluate the product
20.64 = 6.88 * t
Divide both sides by 6.88
20.64/6.88 = 6.88/6.88 * t
Evaluate the quotient
3 = t
Rewrite the equation as
t = 3
This means that she had her investment after 3 years
Hence, the number of years she had her investment is after 3 years
Read more about simple interest at:
https://brainly.com/question/25845758
#SPJ1
Consider the following figure:
Answers
Answer:
angle <B = 76
Step-by-step explanation:
The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.
We can write the following equation with this information to find the value of angle <B
<B + 71 = 147 subtract 71 from both sides
<B = 76
How many three-digit positive integers have three different digits and at least one prime digit?
Answers
Answer:
252
Step-by-step explanation:
using a brute force method in c++
#include <stdio.h>
int main(){
int a, b, c, n = 0;
for(a = 1; a <= 9; a++)
for(b = 0; b <= 9; b++)
for(c = 0; c <= 9; c++)
if((a==3 || b==3 || c==3)) n++;
printf("%d\n", n);
}
Two sides of a triangle are 5 and 55 cm. Complete the inequality to show the possible lengths of the third side. If the third side of the triangle is x then...
Answers
The third side of the triangle falls between (50, 60).
How to find the third side of a triangle?Inequality triangle theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, the other two sides are 5 cm and 55 cm. The range of the third side x can be computed using inequality triangle theorem.
Hence,
x < 5 + 55
x < 60
And,
x > 55 - 5
x > 50
Therefore, 50 < x < 60.
Hence, the third side of the triangle falls between (50, 60).
learn more on triangle here: https://brainly.com/question/1163433
#SPJ1
The bar graph shows the rents paid per month for apartments in an urban neighborhood. The curve shows that the rents are normally distributed.
Estimate the percent of apartments residents who pay less than $650 per month.
A. 99%
B. 25%
C. 68%
D. 30%
Answers
Answer: 30%
Step-by-step explanation:
the first 2 bars < or = to 650 add up to ~29% roughly, cant be 25%, 68%, or 99%. Therefore the only answer available is 30%
Answer:
30%
Step-by-step explanation:
For Connexus students its 30% :)
There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less
than 6. Event B is choosing a number divisible by 3. A diagram is given below.
(Can you help with #4 if you know it:)
Answers
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
What is a permutation?A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:
[tex]^nP_r = \frac{n!}{r!}[/tex]
Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
= [tex]^6P_4[/tex]
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
https://brainly.com/question/14767366
#SPJ1
In a village the cases of a particular infectious disease have been exponentially decreasing at a rate of 95% per year since the pople started receving the vaccine. If there were 200 cases in the village to start with, predict the number of cases after 2 years. First complete the equation:
Remaining amount=
Answers
The number of cases after two years is 221.
What is the number of cases after two years?As a result of the disease, the population of the village would decrease by 95% per year. The number of cases at the village is function of the rate of infection, the number of years and the beginning number of cases.
The exponential function that can be used to represent this situation is:
FV = P( 1 + r)^t
FV = Future value P =beginning number of casesR = rate of increase in the number of cases : 100% - 95% = 5%t = timeFV = 200 (1.05)^2 = 221
To learn more about exponential functions, please check: https://brainly.com/question/26331578
#SPJ1
Find the value of x.
answer choices
A. 70
B. 65
C. 30
D. 40
Answers
The value of x is 70°. The correct option is A. 70
Circle GeometryFrom the question, we are to determine the value of the measure of arc x
From one of the circle theorems, we have that
The angle subtended by an arc at the center is twice the angle subtended by it at any point on the circumference.
First, we will determine the value of the third angle in the triangle formed.
Let the angle be y
y + 15° + 20° = 180°
∴ y = 180° - 15° - 20°
y = 145°
Now, the angle supplementary to this is the angle the arc subtends at the circumference.
Thus,
The angle at the circumference = 180° - 145°
The angle at the circumference = 35°
From the above theorem, we can conclude that the angle subtended by the arc at the center of the circle is 2 × 35° = 70°
∴ The measure of the arc is 70°
This is the value of x
Hence, the value of x is 70°. The correct option is A. 70
Learn more on Circle Geometry here: https://brainly.com/question/19529058
#SPJ1
Alicia wanted to lose some weight, so she planned a day of exercising. She spent a total of 3 hours riding her bike and jogging. She biked for 12 miles and jogged for 12 miles. Her rate for jogging was 6 mph less than her biking rate. What was her rate when jogging?
Please answer asap thank you :)
Answers
Using the relation between velocity, distance and time, it is found that her jogging rate was of 6 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Jogging, her velocity was of v, while the time was of t, for a distance of 12 miles, hence:
[tex]v = \frac{12}{t}[/tex]
Biking, her velocity was of v + 6, while the time was of 3 - t, for a distance of 12 miles, hence:
[tex]v + 6 = \frac{12}{3 - t}[/tex]
[tex]v = \frac{12}{3 - t} - 6[/tex]
Then:
[tex]\frac{12}{t} = \frac{12}{3 - t} - 6[/tex]
[tex]\frac{12}{3 - t} - \frac{12}{t} = 6[/tex]
[tex]\frac{12t - 36 + 12t}{t(3 - t)} = 6[/tex]
18t - 6t² = 24t - 36
6t² + 6t - 36 = 0
t² + t - 6 = 0
(t + 3)(t - 2) = 0. -> t = 2 hours.
Hence her jogging rate in mph is given as follows:
[tex]v = \frac{12}{2} = 6[/tex]
More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569
#SPJ1
Copy the problems onto your paper, mark the given and prove the statements asked. Prove, triangle CAV is congruent to triangle CEV
Answers
Quadrilateral is a family of plane shapes that have four straight sides. Thus the sum of their internal angles is [tex]360^{o}[/tex]. Examples include rectangle, square, rhombus, trapezium, and kite.
A kite is a plane shape that has its adjacent sides to have equal measures.
The given diagram in the question is a kite that has its specific properties compared to other quadrilaterals.
Thus, the required proof is stated below:
Given: ΔCAV and ΔCEV
Prove that: ΔCAV ≅ ΔCEV
Then,
CE ≅ CA (length of side property of a kite)
EV ≅ AV (length of side property of a kite)
<ACV ≅ <ECV (bisected property of a given angle)
<AVC ≅ <EVC (bisected property of a given angle)
CV is a common side to ΔCAV and ΔCEV
Therefore it can be deduced that;
ΔCAV ≅ ΔCEV (Angle-Angle-Side congruent theorem)
For more clarifications on the properties of a kite, visit: https://brainly.com/question/2918354
#SPJ1
