Answer:
a) Yes agree
and b) (I'm not too sure about this one but I think..) By CPCT that is Corresponding parts of congruent triangles are equal/congruent theorem.
Step-by-step explanation:
I'll use this " [ " symbol for angle.
a) yes agreed ;
AB = CB (B is the midpoint of AC)
[ ABD = [ CBD = 90°
BD = BD (common side)
--> therefore by SAS criteria triangle ABD is congruent to triangle CBD.
and by CPCT .... AD = CD .
b) AD = CD (proven by CPCT)
...answer for b you're likely suppose to write it that way. so yeah hope this helps.
You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18
Answer:
B 1/9
Step-by-step explanation:
Because there are 6 sides of a die then your adding 3 to the 6
I think. (please dont hate me if im wrong!!)
The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
For this case, let we define two events:Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.
Thus, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Total number of outcomes for any roll = n(S) = 6
Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)
Thus, P(A) = n(A)/n(S) = 1/6
And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)
Thus, P(B) = n(B)/n(S) = 2/6
Hence, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]
Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
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Factor this polynomial completely
x2 - 8x+ 12
O A. (x-2)(x-6)
B. (x + 2)(x-6)
c. (x - 2)(x+6)
D. (x-3)(x - 4)
Answer:
(x-2)(x-6)
Step-by-step explanation:
We look for two integers which multiply to +12 but add to -8 and we find those numbers by looking at the factors of 12={1,2,3,4,6,12}
We find that by picking 6 and 2,6×2=12 but 6+2 is not -8 so we tweak that as -6 and-2
By so doing, now -6×-2=12,-6+(-2)=-8
so we factor to get (x-2)(x-6)
Which statement correctly describes the expression (–12)7
Answer:
answer #n
Step-by-step explanation:
we cant see the options
Answer:
One factor is positive and one factor is negative, so the product will be negative.
Step-by-step explanation:
3/4g=-12
solve and if you can explain the process bc I have no clue what I'm doing
Answer:
-16
Step-by-step explanation:
3/4 = 0.75
0.75 x -16 = -12
which slopes could be the slopes of perpendicular lines?
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
Answer:
0 and undefined
Step-by-step explanation:
bruh math problems really be like
"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"
smh.
Answer:
Bruu for real and they don't make sense LOL
Step-by-step explanation:
Answer:
FACTS lmbooo
Step-by-step explanation:
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is
Answer:
Step-by-step explanation:
If Sheila buys
200 shares for 18.25
200*18.25==3650
she sells them for
200*32.50=6500
her profit is
6500-3650=2850.00
another way to solve this would be
32.50-18.25=14.25
14.25*200=2850
1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?
Answer:
P is the principal amount, $200.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.
To find the simple interest, we multiply 200 × 0.02 × 15 to get that:
The interest is: $60.00
what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20
Step-by-step explanation:
Y-0 = 1/4(x-8)
4Y= x-8
4Y-x+8=0
what is the y-intercept of the graph of the function
Answer:
(0,-5)
Step-by-step explanation:
It is where the line meets the y axis
At a concession stand, 9 slices of pizza and 5 soft pretzels cost $33.25. If 4 slices of pizza and 6 soft pretzels cost $19.50, what is the cost of a soft pretzel?
same question again. ugh
Answer:
-3
Step-by-step explanation:
the slope is -3 because it goes down 3 y for every 1 forward on x
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, -3)
Point (-1, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract: [tex]m=\frac{6}{-2}[/tex]Divide: [tex]m=-3[/tex]What is the slope of the line that passes through the points (-9,10) and (21,15)
Answer:
1/6
Step-by-step explanation:
We can find the slope of the line using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 15 - 10)/( 21 - -9)
= ( 15-10) /( 21+9)
=5 / 30
= 1/6
can i have some help
Answer:
one solution
Step-by-step explanation:
once you solve it, x equals 0
When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?
Set up a ratio with height over shadow height:
40/30 = x/15
Cross multiply:
40 x 15 = 30x
600 = 30x
Divide both sides by 30:
X = 20
The tree is 20 feet tall.
Answer:
20
Step-by-step explanation:
It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15
30 = 2 * 15
So we simply do that to 40 too.
40 / 2 = 20
So 20 is our answer.
La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?
Which part is the y-intercept in this equation? y=3x+9
Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
Plsss help I’ll give u brainlest and 10 points
Answer:
b
Step-by-step explanation:
d is your inital amount. Then you spend $7, so you subtract 7. That is greater than or equal to 50.
Another name for Rotation is slide.
True
False
False:
A rotation is the action of rotating around an axis or center.
A slide means to move along a smooth surface while maintaining continuous contact with it.
what is the y-intercept of a line that has a slope of -3 and passes through point (0,-7)
A -7
B -3
C 0
D 4
if f(x)=x^2+4x-12. find f(2)
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
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Amy said 49 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A.
0.49
B.
0.444
C.
0.444
D.
0.49
Does anyone know thissss
Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
Learn more about equation of a line here:
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Evaluate the expression
negative 14 plus 5
Answer:
its -9 :)
dmdmonjdnkjdnb
Answer:
-9
Step-by-step explanation:
-14+5 = -9
In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:
"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"
I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent
Answer:
F(p) = 500 + 0.5p
Step-by-step explanation:
Given that :
Bonus point on first purchase = 500
Number of points earned for every 2 dollar spent = 1
Points earned as a function of amount spent :
Bonus point + points earned per dollar
Number of points earned per dollar = 1 / 2
Let p = amount spent
F(p) = function representing the points earned
Hence,
F(p) = 500 + 0.5p
PLS HELP!!!!!!?? 21 points
f(x)=x2. what is g(x)?
A.g(x)=(9x)2
B.g(x)=(1/3x)2
C.g(x)=(3x)2
D. g(x)=3x2
If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class
Answer:
10 girls
Step-by-step explanation:
Omar's classroom has 2 closets. Each closet has 3 shelves. There are 5
backpacks on each shelf.
Answer:
There are 30 backpacks on each shelf if thats what your asking
Step-by-step explanation:
Because 2 times 3 is 6 and 5 times 6 is 30