Find the missing angles: you may have to find missing angles that are not labeled.
Answers
angle b +50+75 = 180 ( sum of angles in a triangle )
b= 180-50-75 =55
b= c = 55 ( vertically opposite angles )
d= 125
d= 125 - b ( supplementary angles
d= 180 - 55 = 125
Step-by-step explanation:
f = 50 (parallel lines)
180 - 50 = a (angle sum of straight line)
a = 130
50 + 75 + b = 180 (angle sum of triangle)
125 + b = 180
b = 180 - 125
= 55
c = 55 (vertically opposite angles)
e = 55 (alternate angles)
d= 180 - 55 (angle sum of straight line)
= 125
Related Questions
y1=4(5x-1), y2-=5x+1 and y1 is 344 more than 2 times y2
Answers
[tex]y_1=344+2y_2[/tex]
[tex]y_1=344+2(5^x+1)[/tex]
[tex]4(5^x-1) = 344 + 2(5^x+1)[/tex]
[tex](4)(5^x)-4=344+2(5^x)+2[/tex]
[tex]4(5^x)-2(5^x)=344+2+4[/tex]
[tex]2(5^x)=350[/tex]
[tex]5^x= \frac{350}{2} [/tex]
[tex]5^x=175[/tex]
[tex]log(5^x)=log(175)[/tex]
[tex]x(log(5))=log(175)[/tex]
[tex]x= \frac{log175}{log5} [/tex]
[tex]x=3.21[/tex] (rounded to two decimal places)
A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, how much profit do you get or lose?
Answers
To calculate the profit from buying and selling stocks, subtract the buying price per share from the selling price per share and then multiply by the number of shares. For 30 shares of the Lofty Cheese Company stock, the profit would total $150.
The question involves calculating the profit from buying and selling stocks. When selling the Lofty Cheese Company stock quoted at 251/4 per share, we need to calculate the profit based on the purchase price (201/4) and the selling price (251/4) for 30 shares.
To find the profit per share, subtract the buying price from the selling price:
Selling Price per Share = 251/4
Buying Price per Share = 201/4
Profit per Share = Selling Price - Buying Price = 251/4 - 201/4 = 5
Then, multiply the profit per share by the total number of shares:
Number of Shares = 30
Total Profit = Profit per Share times Number of Shares = 5 times 30 = 150
Therefore, you would realize a total profit of $150 by selling your 30 shares of the Lofty Cheese Company stock.
please help me with this, thanks !!
Answers
what did the candle say to the match
Answers
Your Turn: Find the equation of a line that is parallel to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK
Answers
y=2x+b
Now, we can use the point we are given to find the y-intercept.
7=2(-4)+b
7=-8+b
b=7+8
b=15
Finally, we can substitute all the information we have discovered to complete the slope-intercept equation.
y=2x+15
What does it mean when the average is less than the median?
Answers
I really need help with these problems please come it will mean a lot if u help.
Answers
2. 59 degrees
3. would be 4
I'm not for sure about the other ones...
Kim's softball team is playing in the championship game. They are losing by a score of 171717 to 666. There are 444 innings to go. Kim wants to know how many runs her team needs per inning to win the game if the other team does not score. (Each run is worth 111 point.) Let rrr represent the number of runs per inning. Assume that the team scores the same number of runs per inning, and write an inequality to determine the number of runs per inning needed to win the game.
Answers
171717-666 = 171051 runs are needed.
171051 / 444 = 385.25 points per inning are needed
385.25 / 111 = 3.47 runs are needed per inning, round up to 4
Write an equation for the line parallel to the given line that contains
C(4,8);y=-3x+4
Answers
y = mx + b
where m = slope
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b
b = 8 + 12
b = 20
The answer is y = -3x + 20
????????????????????
Answers
Substitute:
[tex]x+y=1000 \\ x=1000-y[/tex]
Now we can input this into the other equation so, we only have one variable.
Solve for y.
[tex]0.05(1000-y)+0.06y=57[/tex]
Distribute the parenthesis.
[tex]50-0.05y+0.06y=57[/tex]
Combine Like Terms.
[tex]50-0.01y=57[/tex]
Add -50 to both sides.
[tex](50-0.01y)+(-50)=(57)+(-50)[/tex]
Simplify.
[tex]0.01y=7[/tex]
Divide both sides by 0.01.
[tex](0.01y)/0.01=(7)/0.01[/tex]
Simplify.
[tex]y=700[/tex]
Input this value into the other equation.
[tex]x+700=1000[/tex]
Add -700 to both sides.
[tex](x+700)+(-700)=(1000)+(-700)[/tex]
Simplify.
[tex]x=300[/tex]
The answer would be 300,700
Hope this helps.
-Benjamin
The set of all x values that make up the function is called the
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I NEED QUICK HELP QUICK!!! PLEASE HELP ME SOMEONE!! THANK YOU!!
Which graph does NOT represent a function?
Answers
Answer:
ITS B!!!
Step-by-step explanation:
How to solve for a side of a right triangle when you only know one side?
Answers
Hope I helped :)
The functions graphed show the snowfall, in inches, in two cities after x hours.
Select each correct answer.
Middletown had a faster rate of snowfall.
Smithville had a faster rate of snowfall.
Snow fell in Smithville at a rate of 4 inches per hour.
Middletown already had snow on the ground at the beginning of the storm.
Answers
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
in this problem
the rate of snowfall is equal to the slope of the linear equation
so
Let
x-------> the time in hours
y---------> the snowfall in inches
Step 1
Find the slope of the line of the Smithville city
Let
[tex]A(0,0)\\B(5,20)[/tex]
substitute the values in the formula above
[tex]m=\frac{20-0}{5-0}[/tex]
[tex]m=4\frac{inches}{hour}[/tex]
Step 2
Find the slope of the line of the Middletown city
Let
[tex]A(0,0)\\B(5,15)[/tex]
substitute the values in the formula above
[tex]m=\frac{15-0}{5-0}[/tex]
[tex]m=3\frac{inches}{hour}[/tex]
Step 3
Verify the statements
case A) Middletown had a faster rate of snowfall
The statement is False
Because Smithville had a faster rate of snowfall with [tex]4\frac{inches}{hour}[/tex]
case B) Smithville had a faster rate of snowfall
The statement is True
case C) Snow fell in Smithville at a rate of 4 inches per hour
The statement is True
case D) Middletown already had snow on the ground at the beginning of the storm
The statement is False
Because at the beginning of the storm the value of the snow is equal to zero
therefore
the answer is
Smithville had a faster rate of snowfall
Snow fell in Smithville at a rate of 4 inches per hour
I need help with #17
Answers
so for 480 miles we need 480 / 20 = 24 gallons
What is the value of x? I don't know if I'm right so did i get this answer right? please help i need help ASAP
Answers
3/5 =0.6
40 *0.6 = 24
2x+10 =24
2x=14
x = 14/2 = 7
The sum of two numbers is 67 . the larger number is 5 more than the smaller number. what are the numbers?
Answers
x + y = 67
(y + 5) + y= 67
2y = 62
y = 31
You can use this to find x by plugging in y to either original equation:
x = y + 5
x = 31 + 5
x = 36
1. Create a circle. Show and explain the difference between the following:
a. secant line and tangent line
b. inscribed angle and central angle
2. Describe the steps necessary to construct an inscribed circle in a triangle and contrast this with the steps you take to construct a circumscribed circle.
3. Demonstrate on the whiteboard how to find the center and radius of a circle using an equation. Be sure to provide a unique example of your own that shows how to find both of these.
4. A classmate is having difficulty finding the measures of
5. The world’s largest round pizza, which also happened to be gluten-free, was set in December 2012 by five Italian chefs. The diameter of this pizza was 131 feet. If this pizza was cut into 50 slices, what would be the area of each slice and the length of the crust for the slice? Explain what concepts of a circle these calculations related to.
Answers
a.
A secant line is a line which intersects the circle at 2 different points.
A tangent line is a line which has only one point in common with the circle.
Check picture 1: The orange line s is a secant line, the blue line t is a tangent line.
b.
An inscribed angle is an angle formed by using 3 points of a circle.
The main property of an inscribed angle is that its measure is half of the measure of the arc it intercepts.
Check picture 2: If [tex]m(\angle KML)=\beta[/tex], then the measure of arc KL is [tex]2 \beta [/tex].
A central angle is an angle whose vertex is the center of the circle, and the 2 endpoints of the rays are points of the circle.
The main property is: the measure of the central angle is equal to the measure of the arc it intercepts.
Check picture 2
2.
To construct the inscribed circle of a triangle, we first draw the 3 interior angle bisectors of the triangle.
They meet at a common point called the incenter, which is the center of the inscribed circle.
We open the compass, from the incenter, so that it touches one of the sides at only one point. We then draw the circle. (picture 3)
To draw the circumscribed circle, we first find the midpoints of each side. We then draw perpendicular segments through these (the midpoints.) They meet at one common point, which is the circumcenter: the center of the circumscribed circle.
We open the compass from the circumcenter to one of the vertices of the triangle. We draw the circle, and see that it circumscribes the triangle.
(picture 4)
3.
Given an equation of a circle: [tex]x^2-2x+y^2+6y+6=0[/tex].
To determine the center and the radius of the equation we must write the above equation in the form :
[tex](x-a)^2+(y-b)^2=r^2[/tex].
Then, (a, b) is the center, and r is the radius of this circle. We do this process by completing the square.
Note that [tex]x^2-2x[/tex] becomes a perfect square by adding 1, and
[tex]y^2+6y[/tex] becomes a perfect square by adding 9.
Thus we have:
[tex]x^2-2x+y^2+6y+6=0\\\\(x^2-2x+1)+(y^2+6y+9)-4=0\\\\(x-1)^2+(y+3)^2=2^2[/tex]
Thus, the center is (1, -3), and the radius is 2.
4. Not complete
5.
The radius of the pizza is [tex]\displaystyle{ \frac{131}{2}ft=65.5ft [/tex].
The surface of a circle with radius r is given by the formula [tex]\displaystyle{ A=\pi r^2[/tex],
and the circumference is given by the formula C=2πr.
Thus, the area of the whole pizza is given by [tex]\displaystyle{ A=\pi r^2= \pi\cdot65.5^2=4290.25 \pi [/tex] (square ft).
Each of the 50 slices, has an area of [tex]\displaystyle{ \frac{4290.25 \pi}{50} =85.805 \pi [/tex] (square ft)
Notice that the perimeter (the crust) of a slice is made of 2 radii, and the arc-like part.
The arc is 1/50 of the circumference, so it is [tex] \displaystyle{\frac{2 \pi r}{50} = \frac{2\cdot65.5\cdot \pi }{50}= 2.62 \pi [/tex].
So the perimeter of one slice is 65.5+65.5+2.62π=131+2.62π
Final answer:
The differences between secant and tangent lines, and between inscribed and central angles, involve the number of intersection points with the circle and the position of the vertex, respectively. Constructing an inscribed circle involves finding the incenter, while a circumscribed circle requires finding the circumcenter. To find the center and radius of a circle using its equation, we use the standard form (x - h)² + (y - k)² = r².
Explanation:
Differences Between Secant Lines, Tangent Lines, Inscribed Angles, and Central Angles
A secant line is a line that intersects a circle at two points, while a tangent line touches the circle at exactly one point. An inscribed angle is an angle formed by two chords in a circle that meet at one point in the circle, whereas a central angle is an angle whose apex (vertex) is the center of the circle.
Constructing Inscribed and Circumscribed Circles in a Triangle
To construct an inscribed circle (incircle) of a triangle, draw the angle bisectors of the triangle's angles to find the incenter, and then use this point to draw the circle that touches all three sides of the triangle. For a circumscribed circle (circumcircle), draw the perpendicular bisectors of the triangle's sides and the point where they intersect will be the circumcenter; use this as the center to draw the circle that passes through all three vertices of the triangle.
Finding the Center and Radius of a Circle Using an Equation
Given a circle's equation in the standard form (x - h)² + (y - k)² = r², the center is at point (h, k), and the radius is the square root of r². For example, if we have the equation (x - 3)² + (y + 2)² = 16, the center is (3, -2) and the radius is 4 units.
Area and Length of the Crust of a Circular Pizza Slice
For the world's largest round pizza with a diameter of 131 feet, the radius would be 65.5 feet. The area of each slice is a fraction of the whole pizza's area, which can be found using the formula A = πR², and the length of the crust for the slice corresponds to the arc length of that slice.
Area of whole pizza = 3.14 * 65.5² ≈ 13478.2 ft²
Area of each slice = total area /50 = 13478.2/50 ≈ 269.5 ft²
Length of crust = 2πR * (slice area/total area)
= 2 * 3.14 * (1/50)
≈ 0.125 ft
Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. He places his compass on point B to construct an arc. What must be true about the width of the compass opening when Justin draws the arc?
A .It must be wider than when he constructed the arc centered at point A.
B It must be the same as when he constructed the arc centered at point A.
C. It must be equal to BQ .
D.It must be equal to AB .
Answers
Answer:
just to confuse yall less it is indeed b!
Step-by-step explanation:
took the test on k12
Two cars leave town going in opposite directions. one car is traveling 55 miles per hour (mph), and the other car is traveling 40 mph. how long will it take before the cars are 285 miles apart?
Answers
d = st
Car 1 travels distance 1, d1, at s1 = 55 mph, for t1 time.
Car 2 travels distance 2, d2, at s2 = 40 mph, for t2 time.
The two distances add to 285 miles, so
d1 + d2 = 285
The two times are equal, so t1 = t2 = t
d1 = 55t1
d2 = 40t2
d1 = 55t
d2 = 40t
d1 + d2 = 55t + 40t
d = 95t
285 = 95t
95t = 285
t = 3
Answer: It will take 3 hours.
Note:
This problem shows you that if two cars are traveling along the same line in opposite directions, the speed at which they are distancing themselves is the sum of the two speeds. We can solve the problem in a simpler way:
55 mph + 40 mph = 95 mph
d = st
285 = 95t
t = 3
Answer: 3 hours.
Angle a has the property that twenty eight times times its complement is equal to thirteen times its supplement. find the measure of angle
a.
Answers
28(90 - a) = 13(180 - a)
2520 - 28a = 2340 - 13a
-28a + 13a = 2340 - 2520
- 15a = - 180
a = -180/-15
a = 12 <=== so < a = 12
What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ? Enter your answer in the box.
Answers
the area of a triangle is half of base times height
1/2 of 3*4=6
“all integers are rational numbers” true or false? why?
Answers
Every rational number can be written as a fraction a/b , where a and b are integers. ... If a number is a whole number, for instance, it must also be an integer and a rational.
Every rational number can be written as a fraction a/b , where a and b are integers. ... If a number is a whole number, for instance, it must also be an integer and a rational
the ratio of girls to boys in a tennis club is 4:5 if there are 144 children in the club how many girls are there
Answers
4:5 means 4 girls to every 5 boys
4+5=9
144/9 = 16
4 *16 = 64 girls
Simplify (s)(-3st)(-1/3).
A.) -3 1/3 t
B.) s^2t
C.) 3s^2t
(If this format is too weird I have added a screenshot)
Thanks in advance!
Answers
If a certain number is added to both the numerator and denominator of the fraction 7 6 76, the result is 3 2 32 . find the number.
Answers
Call x the number (certain number)
=> (7+x) / (6 +x ) = 3/2
=> (7 + x)*2 = 3*(6 + x)
=> 14 + 2x = 18 + 3x
=> 14 - 18 = 3x - 2x
=> - 4 = x
verification> ( 7 - 4) / ( 6 - 4) = 3 / 2
Answer: the number is - 4.
write a word phrase for each algebraic expression
1. 25 - 6
2. 2/3y + 4
factor each expression
3. 45c + 10d
4. 27 - 9x + 15y
Simplify the expression.
5. 3(t - 4) - 8 (2 - 3t )
6. 12x + 24
Answers
Answer:
Step-by-step explanation:
1)Twenty five minus sixty percent times a number.
The number 0 belongs to which classification?
A. irrational numbers
B. natural numbers
C. integers
D. all of the above
Answers
1. round the result to 2 decimal places. -0.9x+2.8=4.1
a) -2.56
b) -2.56
c) -1.44
d) 2.20
2. jordan has 650 pennies. he plans to give 85 to his brother and split with his twin sister. he wants to know how many pennies to keep for himself. which equation models the situation?
a) 2(85+2x=650
b) 85(x-2)=650
c) 85x=650
d) 85+2x=650
Answers
First subtract 2.8 from both sides.
-0.9x = 1.3
Now divide both sides by -0.9.
x = -1.4444..
This can be rounded to -1.44
c) -1.44
2. Jordan has 650 pennies. He'll give 85 to his brother and split the rest with his sister.
d) 85+2x=650
find the length of the arc on a circle of radius 12 feet intercepted by a central angle of 150°.
Answers
A = 2πr•(degree/360°)
A = 2π(12)(150°/360°)
A = 24π(150°/360°)
Calculate the right side to find A and you're done. Take it from here.