The given function is
[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]
The inverse function is
[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]
To get the inverse, we swap each x and y coordinate.
The rule is [tex](x,y) \to (y,x)[/tex]
So that's why the point (0,1) becomes (1,0) for instance.
Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
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7n + 5 =68.... how to solve this problem and show my work
Answer:
n=9
Step-by-step explanation:
7n+5=68 Subtract 5 on both sides.
-5 -5
7n=63 Divide both sides by 7.
/7 /7
n=9
Hope this helps! Have a nice day ^^
Answer:
n = 9
Step-by-step explanation:
1) Move similar terms to one side. Here we are moving the 5 over to the side with 68 by subtracting it. We also have to subtract 5 from the other side too (what you do to one side you must do to the other)
7n + 5 = 68
- 5 -5
7n = 63
2) Isolate the variable. We do this by dividing the 7 from 7n. We also have to divide 7 from other other side too.
7n = 63
/7 /7
n =9
Find the value of each trigonometric ratio.
A. 37/35
B. 12/37
C. 12/35
D. 37/12
Answer:
C. 12/35
Step-by-step explanation:
i just guess
Which angles are adjacent angles to 3? Select all that apply
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
Given the x intercept of (4,0) and y intercept of (0,-3) graph the points and find the slope of the line
Answer:
The slope is 3/4 and on a graph it would be 4 over to the right and 3 down.
if you answer correctly ill give you brainiest!
Answer:
What is the question?
Step-by-step explanation:
Step-by-step explanation:
theres no question kikashi
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds?
Answer:
0.2 you divide 4 and 20 I don't know if that is correct but that's how I would do it
help plz i need help
Answer:
it is 20 pairs count them 1 Collin and its 20
Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?
Answer:
He climed 3 steps before he started counting the steps.
Step-by-step explanation:
pls mark me as a branliest
Answer:
The answer is he climbed 44 steps. Hope this helped :D
Step-by-step explanation:
Determine the domain of functions
What is the domain of h?
Answer:
What is the domain of h?
See attached!
Step-by-step explanation:
Identify the graph of f(x)=10-10x2/x2
Answer:answer is an image
Answer:
B
Step-by-step explanation:
EDGE 2021
can someone help me find the area of the triangle
please!!!
Answer:
18 ft
Step-by-step explanation:
Area = b x h / 2
Height = 9ft
Base = 4 ft
9 x 4 = 36
/ 2 = 18 Divide by 2
Please help
Graph the piecewise function.
Answer:
See attached
Step-by-step explanation:
The graph is attached
An ant can travel at a constant speed of 780 inches every 5 minutes. How far can he travel in 9 minutes
Answer:
1404
Step-by-step explanation:
Cross-multiplication
A car sold from a dealership is 25,700 if the sales person receives 1.5% commission on the price of the car how much commission is made on average per car sold
Answer:
385.50
Step-by-step explanation:
The Martins drove 210.5 miles on the first day of their trip and 135.8 miles the second day. How many more miles did they drive the first day than the second day?
A. 74.7
B. 149.4
C. 271.6
D. 346.3
Answer: the answer is A
Step-by-step explanation:
Jaylin has $50 in her fun account she deposit $ 10 per month into the account but $ 6 per month is deducted to pay for a streaming service
Answer:
16 per month
Step-by-step explanation:
you add the 10 and 6 together making it 16 total a month
Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.
Was she correct ? Or is there an error that can be corrected?
1.yes,she is correct
2.no, she should have set it up x/45 = 100/45
3.no,she should have set it up 45/x =75/100
The answer should be 60 if im correct.
Cara and Jena, working together, can clean the house in 4
hours. Working alone, Jena takes twice as long as Cara. How long does it take Cara to clean the house alone?
Answer:
[tex]\frac{4}{3}[/tex]hrs/house
Step-by-step explanation:
Rate is the amount of work done per unit of time;
Let Cara's rate = C
Let Jena's rate = J
C + J = 4 ------ i
Now;
Working alone:
Jena takes twice as long as Cara
J = 2C ---- i
How long does it take Cara to clean a house alone
C + J = 4
J = 2C
C + 2C = 4
3C = 4
C = [tex]\frac{4}{3}[/tex]hrs/house
Answer:
Step-by-step explanation:12
You can tell if the value of a function for a certain interval is positive just by 2 points looking at its graph. If the value is positive that part of the graph will:
a: be to the right of the y-axis
b: be above the x-axis
c: intersect the x-axis
d: be below the x-axis
HELP I WILL GIVE LOTS OF BRIANLY POINTS!!!!!!! PLZ EXPLAINM A BIT TOO FOR BRAINLY REWARD!!!
A weather reporter states that the high temperature is expected to be 20℉ and the low temperature is expected to be - 5℉. What is the difference between the two temperatures?
Answer: 25
Step-by-step explanation:
20 - 25 = -5
20 - 20 = 0
0 - 5 = -5
3) There are 1.000 meters in 1 kilometer. Convert 5,000 meters to kilometers. А) 0.5 km B) 5 km C) 50 km D 500 km. help this is timed
plss
Answer:
×_×°•○●□■♤♡◇♧☆▪︎¤《》₩¥£€
please answer it I'll give all my points
Answer:
b=10
Step-by-step explanation:
you need to simplify it
Can someone please help me
can you please help me with this question
Answer:
[tex]3\frac{4}{7} *(-6\frac{4}{7}), -7\frac{1}{7} *(-2\frac{1}{4}), 5\frac{1}{7} *5\frac{1}{7}[/tex]
Step-by-step explanation:
Answer: (For the first One)
1 1
5 ---- . 5 -----
7 7
36 36 1296 22 5
----- . ------- = ----------- = 26 ---------- = 2 ----------
7 7 49 49 49
Step-by-step explanation:
First you want to change you mixed numbers into improper fractions. Once done so, cross multiply if possible. Then, multiply across. Last, simplify.
which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2
Answer:
see below
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - 2 = 4(x- -1)
y - 2 = 4(x+1)
slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substituting the point in
2 = 4(-1)+b
2 = -4+b
6 =b
y = 4x+6
standard form
Ax +by = c where A is a positive integer and b and c are integers
y = 4x+6
Subtract 4x from each side
-4x+y = 6
Multiply by -1
4x -y = 6
if the interest earned was $55.20 on an investment of $230 that has a rate of 3%, how long was the money invested?
Answer:
8 years
Step-by-step explanation:
The time period such that interest earned was $55.20 on an investment of $230 has a rate of 3% will be 8 years.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $230
Rate of interest R = 3 %
Interest earned = $55.20
It is known that.,
Interest earned = PRT/100
55.20 = (230 x 3 x T)/100
(55.20 x 100)/(230 x 3 ) = T
T = 8 years
Hence "The time period such that interest earned was $55.20 on an investment of $230 has a rate of 3% will be 8 years".
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Students will be going to the zoo in a field trip entrance fee is $6.00 and you will be able to purchase drinks or food items for $2.00 each write an equation indicating the total cost of going to the zoo
Answer:
c = 6+2x
Step-by-step explanation:
c = total cost, 6 = entrance fee, 2x = 2 dollars per food/drink item
Use the Distributive Property to write 2(−5 + 3) as an equivalent expression. What is the value of the expression?
Answer:
-4
Step-by-step explanation:
Distributive property solving for 2(-5 + 3):
First take the number that's being distributed and put 2 parenthesis or multiplication signs next to it. Because there is a plus sign in between the numbers being multiplied you use that in between.
2() + 2()
Use each of the numbers inside of the original parenthesis and put them individually in the new parenthesis.
2(-5) + 2(3)
Continue solving.
-10 + 6
-4
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
Answer:is it A B C or D
Step-by-step explanation:
A. 3(8);16
B. 2(-5)+3;13
C. 2(-5)+2(3);-4
D. (5+3)2;16
what 2-7/8 divided by 3/4