Answer: Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.
Which inequality is represented by the graph?
Answer:
y < -3/2x + 1
Step-by-step explanation:
Points (-2,4) and (2, -2) are on the graph.
The graph crosses the y-axis at 1 so the y-intercept is 1
Slope = (change in the y-value)/(change in the x-value.
Slope = (-2 - 4)/ [2 - (- 2)]
Slope = -6/4
Slope = -3/2
The equation of the line : y = -3/2x + 1
Now the graph is dotted and it is shaded down.
Therefore the inequality is y < -3/2x + 1
7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether
Answer:
1610
Step-by-step explanation:
230 is 1/8 percent, multiply it by 7, get 1610
Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21
Recal the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
Then
[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]
We get the q⁴p¹⁷ term when k = 17, and its coefficient would be
[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
Solve for (x)
I need help with 10(b)
Please
Answer:
x = 4
Step-by-step explanation:
(b)
[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 1) = 30 - 3x , distribute parenthesis on left side
4x + 2 = 30 - 3x ( add 3x to both sides )
7x + 2 = 30 ( subtract 2 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2
Answer:
H is the height
Step-by-step explanation:
A= Area
B= Base
1/2= 0.5
An art club sells 42 large candles and 56 small candles.
a. Use the Distributive Property to write and simplify an expression for the profit.
expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $
Answer:
(700-42-56)
Step-by-step explanation:
10-x
5-y
4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y
If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?
If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."
The resulting function is presented in the image attached below.
In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:
[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]
[tex]f'(x) = - f(x)[/tex] (1)
Which means that the reflected function is equal to the original function multiplied by -1.
Now, we proceed to represent the reflected function graphically.
We kindly invite to check this question on reflections: https://brainly.com/question/15487308
i have a deadlinendnsk help!
Answer:
Point C
Step-by-step explanation:
Hope it can help you lovelots
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).
Answer: (3x+1) (2x-5)
Help me with this please!!
Answer:
A=2/6 B=5/6
Step-by-step explanation:
I really hope this helps! (i love math!)
How do we determine the area of an a rectangle?
Answer:
accept length
accept breadth
Area=length *breadth
we multiply the length of a rectangle by the width of the rectangle.
Suppose that Juan can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.
Because the bus is cheaper, he uses the bus 83 percent of the time.
What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?
Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5
Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.
Answer:
Look at the photo I have sent3.53 divided by 51
24.2 divided by 42
9.13 divided by 23
79.2 divided by 39
Answer:
1. 0.0692156863
2. 0.5761904762
3. 0.3969565217
4. 2.030769231
Step-by-step explanation:
The degree of polynomial is ?
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point
For example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
PLS ANSWER QUICKLY What is the best approximation of the solution to the system to the nearest integer values? (7, 0) (0, 6) (7, 1) (1, 7)
Answer:
0 = 0 = 0 = 0 = 0 < 1 < 6 < 7
0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7
0/
1
= 0/
1
= 0/
1
= 0/
1
= 0/
1
< 1/
1
< 6/
1
< 7/
1
Step-by-step explanation:
Answer:
the correct answer is (1, 7)
Step-by-step explanation:
Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)
answer is 2.2 66 88862 u88272
Solve the system.
y-x=4
x+y=6
Answer:
x=1 y=5
Step-by-step explanation:
y=4+x
x=y=6
x+4+x=6
y=4+x
2x+4=6
y=4+x
2x=2
y=4+x
x=1
y=4+x
y=5
x=1
Please help if it's right I'll give brainliest
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
Which sign makes the sentence true?
3/2_- 3/2
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plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,
Answer:
going up by 2 numbers
Step-by-step explanation:
Is the expression 32.3-3 equivalent to 33.3-22 Explain.
this assignment is due in 2 hours pls help!
Which shows the prodcuts orderd from least to greatest
can you please help me
Answer:
i think it's the 6th option
Step-by-step explanation:
