Answer:
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Step-by-step explanation:
Find the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
pls answer correct or i will ban you
And I will mark brainlist whoanewers correct
Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".
Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.
Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3
----------------------
To summarize so far, we have these three facts
angle CAB = angle CADAC = ACangle ACB = angle ACDin this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.
------------------------
Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.
It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...
Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)
Subtract the values in parentheses to get 4/6
Simplify the fraction to get the slope of 2/3
A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?
Answer:
Distance = speed * time
Convert feet to meter (C units) = about 6
Convert hours to second (C units) = about 2399
Distance = 6 * 2399
= 1439 meters
4721 foot
its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..???
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?
Answer:
3:5:6
Step-by-step explanation:
because there are 3 sheep 5 vows and 6 pigs
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Which cone has a volume of 24 x cm?
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
Answer:6
Step-by-step explanation:
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
The graph of the linear equation can be seen below.
Which graph represents the given function?
Here we have the linear function:
y = 5x + 3
To graph this, we need to find two points on the equation and then connect them with a line.
By evaluating in 0 we get:
y = 5*0 + 3 = 3
So the point (0, 3) is on the line.
By evaluating on 1 we get:
y = 5*1 + 3 = 8
So we have the point (1, 8).
Now we just plot them and connect them with a line, the graph is the one below.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ5
Can someone help me with this question?
Answer:
A = 20.25 sq units
Step-by-step explanation:
to find the area of a square you only need to know the measure of one side -- all other sides will be equal to it
it appears the segment is 4.5 units so you would square that to get the area
A = 4.5²
A = 20.25
the sum of five consecutive numbers is 700, what is the first number?
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be x.
Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).
We are given that their sum is 700. Therefore:
[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]
Solve for x. Combine like terms:
[tex]5x+10=700[/tex]
Subtract 10 from both sides:
[tex]5x=690[/tex]
Divide both sides by five. Therefore:
[tex]x=138[/tex]
The first number is 138.
Answer:
138
Step-by-step explanation:
(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700
5n + 10 = 700
5n = 690
n = 138
6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?
Answer:
-0.0390625
Step-by-step explanation:
each is cut in half
so we do this
20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625
Q. Find the missing side
Answer:
What missing side? You're missing a picture.
(-3) x (+5)
What’s the answer to that? Someone help me please
Answer:
[tex] - 15[/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( + ) = (- )[/tex]
So,
[tex] (- 3) \times ( + 5) = - 15[/tex]
hope this helps you.
Have a nice day!
Answer:
-15
Step-by-step explanation:
(-3)*(+5) = -15
What is the noun of press?
the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).
hope this helps. :)
have a great day! stay safe, happy, and healthy!
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jack
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 44 ft.) Round to the
nearest tenth of a foot.
1.4 feet
let me know if you get it right hope i helped!
Answer:
14
Step-by-step explanation:
a2+(48)2=
502\,\,50^{2}502
Use the Pythagorean Theorem.
a2+2304=a^{2}+2304=a2+2304=
2500\,\,25002500
Simplify.
−2304-2304\phantom{=}−2304=
−2304\,\,-2304−2304
Subtract 2304 from both sides.
a2=a^{2}=a2=
196\,\,196196
a2=\sqrt{a^{2}}=a2
=
±196\,\,\pm\sqrt{196}±196
Square root both sides.
a=a=a=
14\,\,1414
Simplify. Ignore negative root, as length must be positive.
(ii) 3x - 5y - 4 = 0 and 9x = 2y +7
Step-by-step explanation:
3×‐9×-5y-2y =0-7
-6x-7y =-7
Answer:
[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]
Step-by-step explanation:
3x - 5y = 4 ----------- ( 1 )
9x - 2y = 7 -----------( 2 )
______________________
( 1 ) x 9 => 27x - 45y = 36 ----------------- ( 3 )
( 2) x 3 => 27x - 6y = 21 -------------------( 4 )
_____________________
( 3 ) => 27x - 45y = 36
- ( 4 ) => -27x + 6y = - 21
____________________
( 3 ) - ( 4 ) => 0x - 39y = 15
-39y = 15
[tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]
Substitute y in ( 1 ) :
[tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]