Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1
Answer:11111
Step-by-step explanation:
1
Journal; 1.8.4, geometry
2. Looking at the Consecutive Interior Angles (9 points)
Look at the diagram of the scenario below. A steep downhill ski slope is intersected at an angle by a less steep ski slope. Safety fences need to be set up in the locations shown. The angles of the fences, angles 1 and 2, can be determined by finding the relationship between the angles a and b.
Draw a geometric diagram of this scenario using two parallel lines and one transversal. (Remember that a transversal is a line which cuts across parallel lines.) Label the angles, parallel lines, and transversal as indicated in the diagram above. (2 points)
Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and b are supplementary. (5 points)
Statement Reason
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
3. The Exterior Angles (6 points)
The fences will be aligned with the exterior angles ∠1 and ∠2. What are some other relationships you can see between ∠1, ∠2, ∠a, and ∠b? (2 points)
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
What is the measure of ∠2? (2 points)
4. Reflections (2 points: 1 point each)
Can you think of any other real-life scenarios where parallel lines and transversals exist?
What are the limitations of the ski slope scenario as a real-life example?
The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles
The measures of the angles in the figures are as follows;
2. The required two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠1 and ∠a are linear pair angles [tex]{}[/tex] Given
∠1 + ∠a = 180° [tex]{}[/tex] Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles [tex]{}[/tex] Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s [tex]{}[/tex] Definition
x║y [tex]{}[/tex] Given
∠1 and ∠b are corresponding angles [tex]{}[/tex] Definition
∠1 ≅ ∠b [tex]{}[/tex] Corr. ∠s formed between║ lines
∠1 = ∠b [tex]{}[/tex] Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary [tex]{}[/tex] Definition
The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore
If the measure of one of the angles ∠a or ∠b is known, the other angle is given by subtracting the known angle from 180°3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;
∠1 and ∠b are corresponding angles, therefore, ∠1 ≅ ∠b, by corresponding angles formed between parallel lines∠2 and ∠a are corresponding angles, therefore, ∠2 ≅ ∠a, by corresponding angles formed between parallel lines ∠1 and ∠2 are same side exterior angles and they are therefore supplementary. ∠1 + ∠2 = 180°The relationship that will be most helpful in figuring the measurement of the safety fences is the relationship between ∠1 and ∠2; ∠1 + ∠2 = 180°The measure of ∠2 = 180° - ∠1
4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases
The limitations of the Ski slope scenario are;
The direction of the trail of the skier are usually along or parallel to the slopeThe slope is wide and usually lacks obstruction, and therefore, has few transversalsThe ski slope is usually located away from or follows a different direction from other ski slopesLearn more about parallel lines having a common transversal here:
https://brainly.com/question/2188951
c. Explain what the result of your proof tells you about angles a and b.
Specifically, if you measured one angle, what would you know about the
other? (2 points)
1. A population of ants starts at 48 and triples every hour.
Write an equation to represent the situation
How many ants will there be in 4 hours?
I
Answer:3888
Step-by-step explanation:
144= 1 hours
432=2 hours
1296=3 hours
3888=4 hours
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test
Given ON, what is mABC ?
Answer:
personally, I would say try using the formula you were taught because there are different ways people do things
Step-by-step explanation:
formula is key
Please help!!! my teacher doesn’t even know how to answer!!
Answer:
It is B
Step-by-step explanation:
If you subract the numbers(year5-year4=#) and you gather all of the # and add them, then subract the years again, you end up with B.
This graph represents the path of a baseball hit during practice.
Downward opening parabola with (0,0.5), (6.16, 0) and vertex (3,5)
What does the x-value of the vertex represent?
Question 1 options:
the maximum height of the baseball
ground level
the time the baseball was hit
the time the baseball reached its maximum height
Answer:
Step-by-step explanation:
x-coordinate of the vertex is the time the baseball reaches maximum height.
Mr. Jackman gives $32.00 to his four children to share equally. How much will each of his children get?
Answer:
$8.00 per child
Step-by-step explanation:
Mr. Jackman= $32
Children= 4
per child= $32/4
$8.00
En el siguiente mapa, se utilizó la escala 2
130 . Encuentre las distancias reales de Quibdó a la
ciudad de Medellín y de Quibdó a la ciudad de Cali (Sugerencia: mida estas distancias en el mapa
con una regla).ayudaaaaaaaaaaaaaaaaaaaaaaaa
Which term best describes the sequence 1,5,9,13,17,...?
a.Geometric
b.Arithmetic
c.Quadratic
d.Neither
Answer:
Arithmetic sequence
Step-by-step explanation:
Each term is the previous term +4 so it is an arithmetic sequence
Please help!!!!!!!!!!!!!!!!!!!!
Answer:
b is 100
Step-by-step explanation:
Answer:
Average is 100
Median is 87.5
Step-by-step explanation:
For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.
For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Answer:
a^2+b^2=c^2 look below
Step-by-step explanation:
Count the squares so
3^2+4^2=5^2
3*3=9
4*4=16
5*5=25
9+16=25 and it does check out
this should help if u need more explanation ill be more then happy to explain to you
Please help NO LINKS!!!
Answer:
Step-by-step explanation:
base = 7 units
height = 12 unit
Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]
[tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]
Help me and tell me the work pls
Write the numbers in order from least to greatest.
43234, 43613, 43128, 43342
Answer:
43128, 43234, 43342, 43613
Step-by-step explanation:
yuh
Step by step answer please
Answer:
Not a right triangle
Step-by-step explanation:
Find AC by doing 22-13=9
Use Pythagorean Theorem to determine if it is a right triangle.
8 squared plus 5 squared=89
Square rt= 9.43
And 9.43 is not equal to 9.
In a softball game, how far must the catcher throw to second base? Round to the
nearest tenth.
84.9 ft
42.4 ft
0 120 ft
60.8 ft
Answer:
84.9 ft
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + 60^2 = c^2
3600 + 3600 = 7200
the square root of 7200
84.8528137424 ft or 84.9 ft
A 9 pound block of butter is delivered each morning to restaurant recipe for one pot of soup cause for 6 ounces of butter using all of the butter how many pot of soup can the restaurant make each day?
Answer:
24
Step-by-step explanation:
1 pounds = 16 ounces
9 pounds = 144 ounces
144 ÷ 6 = 24
30 POINTS
I think i have it right this time
Answer:
your answer is b
Step-by-step explanation:
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
Need help with this question.
Answer:
D.
Step-by-step explanation:
the smallest angle correpsonds with the smallest side, and longest angle with longest side. hope it helped
What is the x coordinate of the solution?
What is the y coordinate of the solution?
Answer:
the x coordinate is 1
the y coordinate is 1
Step-by-step explanation:
Answer:
1,1
Step-by-step explanation:
which of the following is closest to the total surface area ofd the cylindrical container
Answer:
For this case, the surface area of the cylinder is given by:
A = 2 * pi * r * h + 2 * pi * r ^ 2
Where.
r: cylinder radius
h: cylinder height
Substituting values we have:
A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2
A = 471
Answer:
The total surface area of the cylinder is:
A = 471
Step-by-step explanation:
please mark brainlest
The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?
The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope and b is the y intercept.
The line passes through the point (1, -8) and has a slope of 2. Hence:
y - (-8) = 2(x - 1)
y = 2x - 10
f(x) = 2x - 10
f(0) = 2(0) - 10 = -10
The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.
Find out more on Linear equation at: https://brainly.com/question/13763238
how do I write the equation of the parabola in intercept form
Answer:
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
Step-by-step explanation:
The equation of the parabola in intercept form is defined by following formula:
[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex] - Vertex constant.
[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.
According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:
[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]
[tex]a = -\frac{3}{4}[/tex]
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
2\times 3x\times y\times 4z\times 2x\times y\times z
Step-by-step explanation:
48{x}^{2} {y}^{2} {z}^{2}
Answer:
[tex]48x^2y^2z^2[/tex]
Step-by-step explanation:
[tex]2 \times 3x \times y \times 4z \times 2x \times y \times z[/tex]
[tex]=> 2 \times (3x \times 2x) \times (y \times y) \times (4z \times z)[/tex]
[tex]=> 2 \times 6x^2 \times y^2 \times 4z^2[/tex]
[tex]=> 48x^2y^2z^2[/tex]
Victoria knit a total of 4 centimeters of scarf over 2 nights. After 17 nights of knitting, how
many centimeters of scarf will Victoria have knit in total? Assume the relationship is directly
proportional.
O centimeters
Submit
Answer:
34
Step-by-step explanation:
4 over 2
32 over 16
2 over 1
32+2=34
With the trend on this scatter plot, how old would someone be who spends 50 minutes on homework per day?
A. 18 years old
B. 12 years old
C. 8 years old
D. 14 years old
A basketball backboard set that sold for $79 is discounted 15% what is this sale price
Answer: $67.15
Step-by-step explanation:
Can someone plzzz helppp meeee( don’t say click this link)
Answer:
22
Step-by-step explanation:
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
So...
0=31 divided by 22
0
22 remainder
0=22
22 is the arc's central angle.
:D