Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Answer:
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Step-by-step explanation:
What are the letters where the y coordinate is bigger than the x?
Answer:
O, A, T, and I
Step-by-step explanation:
the y coordinate is bigger than the x coordinate
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?
Answer:
y=-5x/4-2
Step-by-step explanation:
4x – 5y = 20
y = (4/5)x - 4
slope is 4/5
let new slope m:
(m)(4/5)=-1
m=-5/4
point slope form:
(y-3)/(x+4)=-5/4
y-3=-5x/4-5
y=-5x/4-2
A digital communication channel transmits bits of information, usually designated as 0 and 1. If a sender transmits a 0, he/she hopes the recipient receives a 0. If a sender transmits a 1, he/she hopes that the recipient receives a 1. Unfortunately, this is not always the case. Suppose on a certain transmission line, a transmitted 0 is received correctly 90% of the time (10% of the time a 1 is received), and a transmitted 1 is received correctly 74% of the time. (26% of the time a 0 is received.) It is known that on this transmission line, 80% of all bits transmitted are 0 bits. A randomly selected transmitted bit is examined. Say its value is X. The bit received is Y. a.What is the probability that X
Answer:
a) 0.80
b) 0.72
c) 0.02
Step-by-step explanation:
It is assumed that
X = Bit transmitted
Y = Bit received
[tex]X^{0}[/tex] = Transmissted bit is 0
[tex]X^{1}[/tex] = Transmissted bit is 1
[tex]Y^{0}[/tex] = Received bit is 0
[tex]Y^{1}[/tex] = Received bit is 1
As per the given condition
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%
P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%
P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%
P [ Tramitted bits are 0 ] = 80%
Now calculate each situation
a)
As all the transmitted bits are o has possibilit of 80% then
P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80
b)
P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ] = 90% x 80% = 72% = 0.72
c)
P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ] = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02
decreases slowly
decreases quickly
increases quickly
increases slowly
Answer:
increases slowly
Step-by-step explanation:
ghehjje euheje heyru
Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1
The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is:
Which function is increasing and has a domain of (1, ∞);
A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.
As we can see in the graph, the graph of a function has a domain:
(0 , ∞)
And the function is increasing.
Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
Learn more about the Logarithm here:
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Answer:
A. f(t) = log(t – 1) + 2
Step-by-step explanation:
I took the test
Make a sketch of a fourth degree polynomial function with two complex roots and two real roots
I cannot really graph it but I will try my best to explain.
When you have a coordinate plane draw from right to left, up to down.
Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots
Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.
This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.
sqrt x^7 ...........
Answer:
[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]
Step-by-step explanation:
An easier way to approach this is to separate the inside first.
[tex]\sqrt[]{x*x*x*x*x*x*x}[/tex]
Now you can group together pairs of 2, and they come out as one.
[tex]x*x*x\sqrt{x}[/tex]
Multiply all the xs on the outside, and you get
[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]
Find the value of x.
HELP
x² = 6² + 19²
x² = 36 + 361
x = √397
Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Given:
A figure of a right triangle.
To find:
The missing side by using the trigonometric ratios.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In triangle ABC,
[tex]\cos A=\dfrac{AC}{AB}[/tex]
[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]
[tex]0.857=\dfrac{b}{270}[/tex]
Multiply both sides by 270.
[tex]0.857\times 270=b[/tex]
[tex]231.39=b[/tex]
[tex]b\approx 231.4[/tex]
Therefore, the missing side length is b=231.4 inches.
Please please help help
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
10 If each equation below is solved for x, for which equation is x = 8 the solution?
Choose all that apply.
A 3x = 24
B 7x = 56
C 9x = 17
D 13 - X= 21
EX - 15 = -7
How many }2 /3 cups servings are in a 4 cup container of food?
Answer 83
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4 / [tex]\frac{2}{3}[/tex] = 6
Which translation transformed the parent function, f(x),
to g(x))?
a translation right 2 units
a translation left 2 units
a translation up 2 units
a translation down 2 units
Answer:
A. a translation right 2 units
Step-by-step explanation:
JUST DID IT.
13 in = ___________ ft
Answer:
1.0833333 Feet
Hope this helps! If I could have brainliest im trying to level up.
Step-by-step explanation:
13 Inches =
1.0833333 Feet
(rounded to 8 digits)
Use a table of Laplace transforms to find the Inverse Laplace transform of
F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]
f(t)=_____
Answer:
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Step-by-step explanation:
In this case, we should use the following direct and inverse Laplace Transforms:
[tex]F(s) = G(s) + H(s)[/tex] (1)
[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)
[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)
[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)
Then, we apply all these trasforms:
[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]
[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]
[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
25 divided by 12 PLEASE answer quick
24 divided by 12 equals 2,083
The division of 25 by 12 gives the quotient 2 and remainder is 1.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
Given:
We have to divide 25 by 12.
The division is as follow:
12| 25 | 2
24
______
1
Thus the Quotient is 2 and remainder is 1.
Learn more about Division here:
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in a classroom 1/6 of the students are wearing blue shirts and 2/3 of wearing white shirts there are 36 students in the class how many students are wearing blue shirts
Answer:
6 students are wearing blue shirts
Step-by-step explanation:
you divide 36 by 6 and that equals 1/6 of the students.
AI Prove that:
1-cOS A
V1+cos A
cosec A-cot A
Answer:
(1-cosA)/(1+cosA)
=(1-cosA)/(1+cosA) ×(1-cosA)/(1-cosA)
=(1-cosA)^2 /(1-cos^2A)
=(1-cosA)^2 / (sin^2A)
=(1/sinA - cosA/sinA )^2
=cosecA - cotA)^2
Hope it helps
Have a great Day ; )
does 5+4=8 and does 1+1=2
Answer:
5 + 4 = 8 (False)
1 + 1 = 2 (True)
Step-by-step explanation:
First Case:
5+4=8
No this is not correct as when 5 is added to 4 then the result should be - (1+1+1+1+1) + (1+1+1+1)
= 1 + 1 + 1 + 1 + 1 + 1 + 1 +1 +1
= 9
So this is not correct.
Second Case:
1 + 1 = 2
Yes this is correct when 1 and 1 are added for two times it results in 2.
This is for geometry and I need help!
Answer:
B, C, E, and F
Step-by-step explanation:
Recall the acronym for trigonometric functions: SOHCAHTOA
Thus:
B = 180 - (48 + 90) = 42°
Let's find the trigonometric functions using 42° as the reference angle:
Opp = b
Hyp = c
Adj = a
Applying SOH:
Sin 42 = opp/hyp
✅Sin 42 = b/c (option C is correct)
Applying CAH:
Cos 42 = adj/hyp
✅Cos 42 = a/c (option A is incorrect)
Applying TOA:
Tan 42 = opp/adj
✅Tan 42 = b/a (option E is correct)
Using 48° as reference angle:
Opp = a
Hyp = c
Adj = b
Applying SOH:
Sin 48 = opp/hyp
✅Sin 48 = a/c (option D is incorrect)
Applying CAH:
Cos 48 = adj/hyp
✅Cos 48 = b/c (option B is correct)
Applying TOA:
Tan 48 = opp/adj
✅Tan 48 = a/b (option F is correct)
2х - 12 = 24
Зу - 15 = 60
Find the product of X and y.
450
325
120
260
144
I don’t know what to do or what the answer is
Answer:
x=18 y=25
Step-by-step explanation:
1)2x18=36-12=24
2)3x25=75-15-60
Please help.A teacher asked her pupils what their favourite school subject was.
PE
27
Maths
English
135
Science
3 pupils said PE was their favourite subject.
How many pupils said that Maths was their favourite subject?
A triangle has an area of 41.5 square centimeters and a base of 8.3 centimeters. What is the height?
Answer:
10 cm
Step-by-step explanation:
[tex]\boxed{area \: of \: traingle = \frac{1}{2} \times base \times height}[/tex]
Substitute known values into the formula:
41.5= ½ ×8.3 ×height
41.5= 4.15 ×height
height
= 41.5 ÷4.15 (÷4.15 on both sides)
= 10cm
Answer:
10 cm.
Step-by-step explanation:
You will first need the formula for finding the Area of a Triangle:
Area = 1/2(Base x Height)
Next, we need our known measurements to plug into the Equation:
41.5 Sq Cm = 1/2(8.3cm x Height)
After that, multiply the equation by 2
2 x 41.5 = (2 x 1/2) x (8.3cm x Height)
∨
83 sq cm = 8.3 cm x Height
Finally, divide your area by 8.3 cm:
83 / 8.3 = 10cm = Height
So, the answer is Height = 10 cm.
Good Luck!round the number 24.9652 to 1 decimal place
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
I really need help quick please
how do u solve 5/2x-7=3/4x+14
Answer:
x=12
Hope this help :)
AE←→ is a straight line in the diagram.
What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?
What is the measure of each angle?
Explain how an equation can be written to find m∠CBD.
Answer:
hwqvh bjvs bhs ebf
Step-by-step explanation:
Please help
A 136
B 208
C 352
D 576
Answer im not in grade
Step-by-step explanation:
Which polynomial represents the difference below? 10x^8 + 11x^6 - 2x + 5 - (8x8 + 6x7 - 5)
Answer:
[tex]2x^8-6x^7+11x^6-2x+10[/tex]
Step-by-step explanation:
To find: [tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)[/tex]
Solution:
Like terms refer to terms with same variables and same powers.
Two like terms can be added or subtracted.
Consider the following expression:
[tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)=10x^8+11x^6-2x+5-8x^8-6x^7+5\\=(10-8)x^8-6x^7+11x^6-2x+(5+5)\\=2x^8-6x^7+11x^6-2x+10[/tex]
(Here, like terms are added or subtracted)
Page 153
30. A car's value is a function of many things,
including the total mileage on the car. The
following graph illustrates the depreciation of a
car as more miles are driven. Find the value of
f(50,000) and explain its meaning. What is the
range of this function?
Car's valde
$14,000
$12,000
$10,000
$8.000
$6,000
$4,000
$2,000
$0
20,000 40.000 60.000 80.000 100.000 120,000
Mileage