Answers
Answer:
a) m = 60°, n = 30°
b) m = 20°, n = 45°
Step-by-step explanation:
a)The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.
Angle n is the complement of angle m, so is 90°-60° = 30°
m = 60°, n = 30°
__
b)The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)
The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.
m = 65° -45° = 20°
m = 20°, n = 45°
_____
Additional comment
The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...
a + 2b = 180°
2b = 180° -a
b = (180° -a)/2 . . . . . . the relation used above
Related Questions
The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
Answers
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
Tickets for the Valentine Dance cost $3 per person or $5 per couple. The school ticket sales totaled $824 and there were 10 less couple tickets sold than 4 times the number of single tickets.
Answers
help!!!!!!!!! I need help
Answers
Answer:
x = 60 cm
Step-by-step explanation:
If we assume the figures are similar, then corresponding sides are proportional.
x/36 = 35/21
x = 36(35/21) = 60 . . . . cm
_____
You can consider the ratios of side lengths. Shortest to longest, they are ...
7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60
The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.
Someone plz help me :(
Answers
Answer:
c
Step-by-step explanation:
when we add 0 to x ,it remains x.
x+0=x
0 is additive identity.
Answer:
C
Step-by-step explanation:
URGENT! WILL MARK BRAINLIEST!!
Write an inequality that represents the graph.
(it’s #4)
Answers
Hope this helps! :)
y > 2
Explanation:
- The dot is open, indicating that the inequality symbol must be greater than or less than (nothing with equal too).
- Since the graph is shaded to the right, that would mean that the inequality symbol would be greater than (>)
- The dot is placed at the value 2, therefore the solutions to the inequality would be all numbers greater than 2, or y > 2
Hope that helped!
help me here pls
(solve on your own, a,b, and c)
(more practice, a and b)
Answers
Answer:
1. 0.0086
2. 0.0059
3. 0.0124
4. 0.0894
5. 0.0667
6. 4.578
7. 67.58
8. 99789.5
9. 685.31
10. 23500
Step-by-step explanation:
Use calculator or find the pattern
for problems under B, multiply the quotient by the dividend
Which best describes how to add 9.73 and 21.6?
Answers
Answer:
31.33
Work:
1 1
9.73
+ 21.60
--------------------
31.33
Final Answer:
Therefore, 31.33 is our answer.
Hoped this helped.
please really need helpppppppp
Answers
Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]
Step-by-step explanation:
If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.
i need answer please
Answers
The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.
What is a right angle triangle?Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
15² + 14² = x²
225 + 196 = x²
x = √421
x = 20.5182845287
x ≈ 20.5 cm
learn more on right angle triangle here:https://brainly.com/question/3770177
At time t= 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in the tank is increasing at a rate of W (t) feet per hour. Which of the following is the best interpretation of the statement W' (2) > 3?
a. Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 33 feet per hour.
b. Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour.
c. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.
d. Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 33 feet per hour per hour.
Answers
The given function is the rate of change of the water depth. therefore,
W'(t) is the second derivative.
The correct option is; d. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Reasons:
The volume of water in the tank is 0 at time t = 0 (the tank is empty)
The function that gives the rate at which the depth of water in the tank is
increasing at time t > 0 is W(t).
Where;
t = The time in hours
Therefore;
W'(t), the derivative of the function of the rate at which the water in the
tank is increasing in feet per hour is the rate of increase of W(t).
Which gives;
W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.
Therefore;
W'(2) > 3 = Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Learn more about second derivative here:
https://brainly.com/question/10305010
please help due soon
Answers
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
Just trust
Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.
a. How many area codes can be created if digits are allowed to be repeated?
b. How many area codes can be created if digits are not allowed to be repeated?
Answers
Answer:A
Step-by-step explanation:because the numbers can be allowed to be repeated
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answers
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
Will mark Brainliest for the correct answer:
Classify EACH expression as a polynomial or not a polynomial.
(just screenshotted since its a lot to type)
Answers
Step-by-step explanation:
#1 is polynomial of degree 4#2 is polynomial of degree 3#3 NOT a polynomial, variable as fraction#4 NOT a polynomial, radical variable#5 is polynomial of degree 5#6 NOT a polynomial, negative exponentLet's see
Yes, Polynomial having degree 4Yes Polynomial having degree 3No, Fraction onlyNo,radical expressionYes,Of degree 5NoFind the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
Answers
The easiest way to find the solutions is to graph the equations then observe the coordinate intersections of each graph :)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: https://brainly.com/question/16863577
Pls answer this problem
Answers
Help help help math math
Answers
Answer:
Step-by-step explanation:
Answer:
volume of sphere is 4000cubic ft..... when
[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]
9. On a certain day the temperature in New
York City was 4°C and the temperature
in Austin was 10°C. How many degrees
lower was the temperature in New York
City?
Answers
Answer:
it is 6°. because 10 degree - 4 degree = 6 degree
The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
Answers
PLS HELP!!! WILL MARK BRAINLIEST!!
Answers
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9
Answers
Answer:
614.5
Step-by-step explanation:
Hope this helps!
Answer:
87.9
Step-by-step explanation:
The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.
πr^2
(3.14)(14^2)
(3.14)(196) ≈ 87.9
Aaron noticed that he caught 8 pidgeys for every Squirtle when he played Pokémon Go. If Aaron caught 104 Pidgeys how many Squirtles did he catch?
Answers
Answer:
He caught 13 squirtles
Step-by-step explanation:
104/8 = 13 squirtles
Squirtles divided by pidgeys
PLEASE HELP‼️‼️ILL MARK BRAINLYEST ‼️‼️I MEAN IT PLEASE ‼️‼️‼️‼️‼️‼️‼️15 POINTS PLEASE ‼️‼️
Given the two similar triangles below, which proportion is not true?
Answers
Answer:
1. Yes; 2. Yes ; 3. No; 4. Yes
Step-by-step explanation:
The proportion will have to be read the same way. For example top Δ bottom to the lower Δ bottom (locate in the same place)
14/21 = 6 /9 Yes because the top Δ bottom to lower Δ bottom = top side to
lower same side
13.5/21 = 9/ 14 Yes because the same two sides to the same two sides in
the lower Δ
9/13.5 = 6 21 No because top Δ side to lower Δ same location but the
second one top Δ side to the lower bottom
14 /6 = 21/6 Yes because top Δ bottom to top side = lower Δ bottom to
lower side (in the same place)
Adding this so you can give the other dude the brailyist
Answer this question!
Answers
Answer:
I would tell you
Step-by-step explanation:
you need to put 2 y and 2 x and that you need to divide
HELP!!!!! I DONT KNOW THIS
Answers
Answer:
neither
Step-by-step explanation:
exponential grows larger with each step and liner is constant
Answer:
Exponential because you don't start at 0
Step-by-step explanation:
2x - 8 algebraic expression
Answers
Answer:
Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
Jeremy brought a sandwich and a drink that cost him $7. His drink cost $1.75. Solve the equation 7=s + 1.75 to find s, the cost of Jeremy’s sandwich.
Answers
Answer:
the answer is 5.25
Step-by-step explanation:
subtract the amount from the drink and should give you the cost of the sandwich
Write each number as the product of two or three
prime numbers.
a) 49
b) 42
c) 63
d) 18
Answers
B = 3•7•2
C = 3•3•7
D = 2•3•3
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
Answers
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
https://brainly.com/question/12413726
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
Answers
Answer:
2664.3
Step-by-step explanation:
Hope this helps!