Can someone check this for me? Thanks.

(b) Suppose it is also known that AD ≅ CD. Which postulate or theorem can be used to prove that ΔABD ≅ ΔCBD?


I'm guessing it's the SAS congruence postulate but I'm not very good at this so I'm not sure.

Can Someone Check This For Me? Thanks.(b) Suppose It Is Also Known That AD CD. Which Postulate Or Theorem

Answers

Answer 1
yes it's SAS
AD = CD (given)
BD = BD (common side )
but since it didn't say AC丄BD
it's no way to prove the angels r 90° :/

but as it already given AD= CD
so it's proven that it's an isosceles triangle
therefore
∠BAD = ∠BCD (base ∠s isos. ∆)

therefore it's SAS (side angel side)

Related Questions

Which is true about the functional relationship shown below?

Answers

 i would say that its c.) the amount earned is a function of the number of hours worked because for each hour Olivia works, she earns $10.

-hope this helps

PLEASE HELP!!!! WILL GIVE 99 PTS! :)Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 54 km/h. After four hours, the velocity of the car is 58 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)

Answers

Since we have two points (2,54) and (4,54), we can assume a linear function and solve for the slope and intercept. So if V=kt+b where t is time passed and v is velocity of the car, we can plug in and solve for k and t, that would give t as a function of v, and you can graph it

t = time

v = velocity

you have (2,54) & (4,58)

v-54 = (58-54) / (4-2) *(t-2)

v=4/2(t-2)+54

v =2(t-2)+54

v = 2t-4+54



b - Graph by plotting the given points (2,54) & 4,58) and drawing a straight line through them

Four more than the quotient of a number and 3 is at least 9

Answers

The correct answer is 15

 4 + (x/3) = 9 

(x/3) = 9 - 4 

(x/3) = 5 

x = 15 

Explanation of an inequality involving addition and division

The given inequality is: 4 + (x/3) ≥ 9

To express the statement algebraically:

Add four to the quotient of a number and 3.

Set the expression greater than or equal to 9.

Solve for x to find the number that satisfies the inequality.

estimate 63 times 39

estimate 62.93 times 73

estimate 34.44 times 57

Answers

2,457
4,593.89
1,973.08

Estimate of 63 times 39: Approximately 2400.

Estimate of 62.93 times 73: Roughly 4410.

Estimate of 34.44 times 57: About 2040.

To estimate the products, you can round the numbers and then perform the multiplication.

Here are the estimates for the given multiplication problems:

Estimate of 63 times 39:

Round 63 to 60 and 39 to 40.

Calculate 60 times 40, which is 2400.

Estimate of 62.93 times 73:

Round 62.93 to 63 and 73 to 70.

Calculate 63 times 70, which is 4410.

Estimate of 34.44 times 57:

Round 34.44 to 34 and 57 to 60.

Calculate 34 times 60, which is 2040.

These are rough estimates and may not be entirely accurate, but they provide a quick way to get an idea of the approximate result of the multiplication.

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the teacher separated her class of twenty-eight students into two groups. One group has 4 more than twice as many students as the other group. How many students are in each group?

Answers

x + y = 28
x = 2y + 4

2y + 4 + y = 28
3y + 4 = 28
3y = 28 - 4
3y = 24
y = 24/3
y = 8

x = 2y + 4
x = 2(8) + 4
x = 16 + 4
x = 20

there are 8 students in one group and 20 students in the other group
8 and 20.
One group has 8 children.
8 x 2=16
16+4=20
20+8=28

Find the range of the logarithmic function f(x) = log4 x.

Answers

all real numbers. the domain is all numbers grater than zero

Help me with this please

Answers

Greetings!

To convert a mixed number into an improper fraction, you multiply the whole number by the denominator. Then, you add that number to the numerator.

Examples:
a)
8 1/4

8*4=32
32+1=33
=33/4

b)
3 4/5
3*5=15
15+4=19
=19/5

I'll let you attempt the last one on your own. :)

Hope this helps.
-Benjamin

The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find the smaller number
(HINT. Let x= larger number; 35- x= smaller number

Answers

If 35-x is the smaller number and x is the larger number, we can take that 3*x=4*(35-x)=140-4x. Subtracting 3x from both sides, we get 140-7x=0. Adding 7x to both sides, we get 140=7x. Lastly, we can divide both sides by 7 to get x=20

Do I solve this by equaling both equations to each other?

Answers

Yes, you got it! You would need to set the equations equal to each other, because that represents when their populations are the same. Then, solving for x will find the time in months until you reach that equilibrium in population. If you need help solving for x, just comment on this. Hope it helps!

A cube has a surface area of 900 cm what is the number of cubic cm in the volume of the cube

Answers

SA = 900cm^2
SA = 6×(s^2), where "s" is one side or edge of each square surface face
900 = 6s^2
150 = s^2
[tex] \sqrt{150} = \sqrt{ {s}^{2} } [/tex]
[tex] \sqrt{25} \times \sqrt{6} = s[/tex]
[tex]5 \sqrt{6} = s[/tex]
So each side is
[tex]5 \sqrt{6} \: cm \: long[/tex]
The volume (V) of a cube is:
[tex]v = {s}^{3} = (5\sqrt{6})^{3} = {12.247}^{3} \\ = 1837 \: {cm}^{2} [/tex]

The measure of an angle is 9°. what is the measure of a complementary angle?

Answers

complementary angles sum upto 90°
so the complement of 9° = 81°

If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a face card?

Answers

unlikely would be the answer

Find the remainder when f(x) is divided by (x - k).
f(x) = 4x3 - 5x2 + 2x + 11; k= 3

Answers

3]  4   -5   2   11
          12  21  69
----------------------
     4     7  23  80

80 would be the remainder
Another method would be to plug 3 into the equation for x
[tex]4(3)^{3}-5(3)^{2}+2(3)+11[/tex] = 4(27) - 5(9) + 6 + 11 = 108 - 45 + 6 + 11 = 63 + 6 + 11 = 80

Answer:

The remainder is 80

Step-by-step explanation:

Given the polynomial

[tex]f(x)=4x^3-5x^2+2x+11[/tex]

we have to find the remainder when the above polynomial f(x) is divided by x-3

By remainder theorem when we put x=3 in f(x) we get the remainder i.e f(3)

[tex]f(3)=4(3)^3-5(3)^2+2(3)+11[/tex]

[tex]=108-45+6+11[/tex]

[tex]=80[/tex]

which is required remainder.

Hence, the remainder is 80

X+y+z=1
2x+4y+6z=2
-x+3y-5z=11

Answers

Final answer:

The question revolves around solving a system of three linear equations with three variables, using algebraic techniques such as substitution or elimination.

Explanation:

The system of equations provided can be solved using methods such as substitution, elimination, or matrix operations. The equations given are:

x + y + z = 1 2x + 4y + 6z = 2 -x + 3y - 5z = 11

To solve this system, we can perform operations such as eliminating one variable at a time or using matrices to find the values of x, y, and z that satisfy all three equations simultaneously.

Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (h(x)) and . g (f (x))

Answers

Answer is below.........

how to solve bh+hr=25 when solving for h

Answers

This is what I got. The answer isn't simplified so if ur teacher wants it simplified I can't help u there, but this should be correct.

Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. -3(1.2)^2 =

Answers

Convert 1.2 to 6/5. Then multiply 6/5•^2= 36/25

Describe which of the two points lies on the graph of the line
-4x+y=-11
A.3,1
B.1,3

Answers

-4x + y = -11

-4(3) + (1) = -11

-12 + 1 = -11

-11 = -11 True

A) 3,1
hope this helps

Kiko is coasting on her bicycle down a hill. After 3 s, her speed is 10 m/s. After 8 s, her speed is 25 m/s. What is her acceleration during this time?

Answers

use formula : acceleration= final velocity- intial velocity ÷ time
a=(vf-vi)÷t
a=(25-10)÷(8-3)
a=15/5
a=3m/s^-2

Kiko is coasting on her bicycle down a hill. After 3 s, her speed is 10 m/s. After 8 s, her speed is 25 m/s. Her acceleration during this time will be  5 m/s².

What is acceleration?

Acceleration is the rate of change in both speed and direction of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.

It is given that, Kiko is coasting on her bicycle down a hill. After 3 s, her speed is 10 m/s. After 8 s, her speed is 25 m/s.

Acceleration is found as the ratio of the change in speed to the change in a time interval.

Acceleration =  change in speed/ change in a time interval

Acceleration = (25-10) / (8-5)

Acceleration = (15)/(3)

Acceleration = 5 m/s²

Thus, Kiko is coasting on her bicycle down a hill. After 3 s, her speed is 10 m/s. After 8 s, her speed is 25 m/s. Her acceleration during this time will be  5 m/s².

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The gross income of Abelina Bennett is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1% city tax; and 3% retirement fund. What is her net income?

Answers

Final answer:

To calculate Abelina Bennett's net income, subtract her deductions from her gross income. Her net income is $157.61 per week.

Explanation:

To calculate Abelina Bennett's net income, we need to subtract her deductions from her gross income. The deductions include FICA tax, income tax, state tax, city tax, and retirement fund.

Step 1: Add up all the deductions:
FICA tax: $15.16
Income tax: $29.33
State tax: 2% of $215 = $4.30
City tax: 1% of $215 = $2.15
Retirement fund: 3% of $215 = $6.45

Step 2: Calculate the total deductions: $15.16 + $29.33 + $4.30 + $2.15 + $6.45 = $57.39

Step 3: Subtract the total deductions from the gross income: $215 - $57.39 = $157.61

Abelina Bennett's net income is $157.61 per week.

If there are 400 people in a room, what is the probability of at least 2 people sharing the same birthday?

Answers

Basically a 50% chance.
Final answer:

The probability of at least 2 people out of 400 sharing the same birthday is almost certain due to the 'birthday paradox', due to there being only 365 days in the year but 400 people in the room.

Explanation:

The probability that at least 2 people out of 400 sharing the same birthday is almost certain due to the 'birthday paradox.' This is because there are only 365 days in a year for birthdays, but we have 400 people in the room.

To calculate this probability, we assume that every person is equally likely to be born on any day of the year (ignoring leap years). The first person can have their birthday on any of 365 days. The second person has a 364/365 chance of not having the same birthday as the first. The third person has a 363/365 chance of not sharing a birthday with the first two, and so on. By the time we reach the 366th person, the probability of them not sharing a birthday with anyone else is zero, since all 365 possible birthdays have been taken.

So, the overall probability of at least 2 people sharing a birthday is 1 minus the probability of all 400 people having unique birthdays. When you calculate it with 400 people, the result is almost 1, which indicates that it's nearly certain at least 2 people share a birthday.

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Identify the property that justifies the following statement: if 16m=160,then m=10

Answers

Division Property of Equality


16m = 160

 divide both sides by 16 to find m

m = 160/16 = 10

Answer:

Property of equality for division.

Step-by-step explanation:

The given expression is

[tex]16m=160[/tex]

So, we use one of the properties of equalities for division, which states that if we divide one side of the equation, we also must divide the other side by the same number, to not mess up the balance of the equation. Applying this property, we have

[tex]\frac{16m}{16}=\frac{160}{16}\\ m=10[/tex]

One number is 3 less than twice another. If their sum is 39, find the numbers.
Which of the following systems of equations represents the word problem?

A) y=2x-3 and y=x+39
B) y=2x-3 and x+y=39
C) y=2(x-3) and x+y=39

Answers

Based on the given information, we know that x+y=39

Let "one number" be y
Let the other number be x
This would mean y=2x-3
2x="two times the other number"
-3= "three less"

The correct answer:
B) y=2x-3 and x+y=39
the answer to that is

B.y=2x-3 and x+y=39

Your cruise ship is leaving for a 610 league adventure. how many nautical miles is this

Answers

This problem is solved using dimensional analysis. It is known that there are 5280 yards in a league and that there are 3 feet in one yard. Finally, it is known that there are 6076 feet in one nautical mile. As a result, we can multiply these dimension together, making certain that the units cancel and leave us with only nautical miles. It is done as follows: (610 leagues)(5280yds/1 league)(3 ft/1yd)(1 nautical mile/6076ft)= 1590 naurtical miles.

Final answer:

A 610-league adventure is equivalent to 1830 nautical miles, calculated by multiplying the number of leagues by the conversion factor, where one league is equal to approximately 3 nautical miles.

Explanation:

To convert the distance from leagues to nautical miles, we need to know the conversion factor. One league is approximately 3 nautical miles. Thus, by multiplying the given number of leagues by this factor, we can determine the distance in nautical miles.

If the cruise ship is embarking on a 610-league adventure, we calculate the equivalent distance in nautical miles as follows:

Multiply the number of leagues (610) by the conversion factor (3).

The calculation would be 610 leagues * 3 nautical miles/league = 1830 nautical miles.

Therefore, a 610-league voyage is equivalent to 1830 nautical miles.

I need help solving this!!!

Numbers 3 and 4, solve algebraically. I don't get #5 question.

Answers

x = # of hours tutoring ES
y = # of hours tutoring HS

equations
20x + 30y = 140
x + y = 6

solve
20x + 30y = 140
x + y = 6

x = 6 - y

substitute x = 6 - y into 20x + 30y = 140

20x + 30y = 140
20(6 - y) + 30y = 140
120 - 20y + 30y = 140
10y = 20
    y = 2

x = 6 - y
x = 6 -2
x = 4

answer
Tutor:
ES = 4 hours and HS = 2 hours

1) After striking a pair of arcs from each endpoint of a line segment, what is the next step in constructing the segment's perpendicular bisector?

Answers

After striking a pair of arcs from each endpoint of a line segment, just join the intersection point of the 1st pair (above the segment) with the intersection point
of the 2nd pair (under the segment)
And this is how you construct the segment's perpendicular bisector


C) Use a straight edge to draw a vertical line between the points where each pair of arcs intersect.

Find mCE

A. 40 DEGREES
B. 50 DEGREES
C. 75 DEGREES
D. 80 DEGREES

Answers

b. 50 degrees hope this helps

BRIANLIEST ~
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.

Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)


Answers

Part A

x = number of hours the scooter is rented
y = total rent (in dollars)

"Amir rented a scooter at $43 for 3 hours" means x = 3 and y = 43 giving the point (3,43)

"he rents the same scooter for 8 hours, he has to pay a total rent of $113" means x = 8 pairs up with y = 113. The second point is (8,113)

The two points (3,43) and (8,113) can be used to find the slope
m = (y2 - y1)/(x2 - x1)
m = (113 - 43)/(8 - 3)
m = (70)/(5)
m = 14

The slope of 14 tells us that it costs $14 per hour to rent the scooter

If we simply consider the hourly cost of $14 per hour (and no additional fees), then the cost break down would look like this:
1 hour costs Amir $14
2 hours costs Amir $28 (2*14 = 28)
3 hours costs Amir $42 (3*14 = 42)

If we don't have any fixed costs, then it would cost Amir $42 total to rent the scooter for 3 hours. But it says the cost is actually 43 dollars. So the fixed cost, the y intercept, must be 1 dollar. Think of the $1 as the fee that Amir pays to get into the park or maybe as some kind of insurance. This fixed fee is not dependent on the number of hours Amir rents the scooter.

In other words, if m = 14, x = 3 and y = 43, then
y = mx+b
43 = 14*3+b
43 = 42+b
b = 1

Making the equation to be y = 14x+1

Answer: y = 14x+1

---------------------------------------------------------------

Part B

All we do here is go from y = 14x+1 to f(x) = 14x+1. We simply replace y with f(x) to get it into function notation.

---------------------------------------------------------------

Part C

The y intercept is 1 as this is the value of b in y = mx+b. Compare this to y = 14x+1.

Another way to look at this is that if we plug in x = 0 into y = 14x+1, we get y = 1. So the point (0,1) is on the function. This is where the graph crosses the y axis.

Starting at (0,1) go up 14 units and then to the right 1 unit. You'll arrive at (1,15) as the next point on this graph. Draw a straight line through (0,1) and (1,15) to complete the graph of y = 14x+1

You should have "number of hours" along the x axis and "cost (in dollars)" along the y axis for your proper labels. As for intervals, I would increment x by 1 each time (0, 1, 2, 3, ...) and increment y by 2 at the smallest or 5 at the largest. It will depend on your preference really.

At Taft high school 59% of all students participate in after school sports and 23% participate in both after school sports and volunteer activities. What is the probability that a student participates in volunteer activities given that the student participates in after school sports. A. 82% B. 36% C. 59% D. 39%

Answers

The answer is D or 39% 
An easy way to remember this without all the confusing symbols is the formula:

Both/one = other one

Meaning  the both of the probabilities combined divided by one of the probabilities = the other probability.

.23/.59 = other one
0.389 = other one
0.39 = other one

Hope this helps!

Which expression is equivalent to the given expression?


13x – 29x


A.x(29 – 13)

B.13(x + 29)

C.x(13 – 29)

D.13(x – 29)

Answers

The answer is C.x(13-29)
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