Answer:
6
Step-by-step explanation:
All you have to do is subtract 16 from both sides!
16+x=22
-16 -16
x=6
I hope this helps, and have a great day! :)
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.
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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:
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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)
HELP ! How long is segment AB ?
Answer:
square root of (2+10)²+(-5+3)²
square root of 144+4
square root of 148
Solve each equation: -5(7-8x)-7x=-(3x+1)
Answer:
Step-by-step explanation:
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]
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
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
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
Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?
A. The graph shifts r units down
B. The graph shift r units up
C. The graph shift r units right
D. The graph shift r units left
Answer:
C
Step-by-step explanation:
If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.
The table shows the inputs and outputs for the function f(x) = -7x – 5.
Input
-10
Output
65
-5
?
-5
o
5
-40
When the input is –5, the output is
Answer:
30
Step-by-step explanation:
-7 times-5 minus 5=30
The missing value in the output is 30.
What is a Function ?A law that relates two variables is called Function.
The function given in the question is
f(x)= -7x - 5
For the input missing in the table
f(x)= - 7 *(-5) -5
f(x)= 30
Therefore the missing value in the output is 30.
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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.
Please Help!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
Answer:
Step-by-step explanation:
n=2p
p+5n=110, using n found above makes this become
p+5(2p)=110
p+10p=110
11p=110
p=10, since n=2p
n=2(10)
n=20
So there are 10 pennies and 20 nickels.
3k + 10 = 22 I just wanna know all the steps to this question
and answer
A basketball backboard set that sold for $79 is discounted 15% what is this sale price
Answer: $67.15
Step-by-step explanation:
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
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
Help me and tell me the work pls
yall im tired please help im lacking hella motivation and i have a bad headache so please helpp me cuz no one has thank you luvs <3
Answer:
1,193.81
Step-by-step explanation:
Use the formula:
A=2PIrh+2PIr^2
Answer:
Curved surface area of cylinder
=PH
=2pirh
=2×3.142×5×9= 282.78in sq
A is the closest.
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
find the area of the isosceles triangle below
Answer:
37
Step-by-step explanation:
Ms. F arrived at the Wizarding World of Harry potter at 9:12 am. It took her 1 hour and 16 minutes to get there from leaving her house. What time did she leave her house?
Answer:
She left her house at 7:56 am
Step-by-step explanation:
I need help please?!
my best guess for this is x + 1
x + 1 4
Write the numbers in order from least to greatest.
43234, 43613, 43128, 43342
Answer:
43128, 43234, 43342, 43613
Step-by-step explanation:
yuh
Pennsylvania has a sales tax of 6%. The city of Philadelphia adds an extra local sales tax of 2%. Both taxes apply to the original price of an item. If the shelf price of a bottle of sports drink is $2 in Philadelphia, PA, which expressions can be used to show the total taxes you would expect to pay?
Answer:
For the regular tax in Pennsylvania, it would be 12 cents or $0.12. For Philadelphia, it would be 4 cents or $0.04. I got these two amounts by multiplying 2 times 6 or 2 percent, aka 0.06 and 0.02. If you added the two together, you would get, $0.16 or 16 cents. You would then add that to the two dollars and end up with $2.16 or two dollars and sixteen cents. I hope this helps.
Step-by-step explanation:
Las calificaciones obtenidas por un grupo de 49 alumnos en una prueba con las siguientes: 3.0; 5.5; 4.4; 6.0; 4.3; 7.2; 4.7; 6.5; 6.7; 4.0; 5.9; 5.8; 1.4; 3.2; 5.8; 4.6; 4.1; 3.5; 6.8; 5.0; 5.9; 2.1; 4.2; 4.5; 4.1; 4.8; 2.8; 4.7; 7.7; 6.0; 3.0; 5.7; 4.5; 4.9; 3.3; 4.8; 4.7; 7.7; 6.0; 3.0; 5.7; 4.5; 4.9; 3.3; 4.8; 4.7; 5.2; 3.8; 6.1. Agrupa en siete intervalos estos datos y construye la tabla de frecuencias correspondientes, hallando los valores de la media, la mediana y la moda de los mencionados datos
Answer:
nosejgivuguvug7gug7g7g
Step-by-step explanation:
pol
Write in standard form:
the quotient of 29 and r
1. 29r
2. 29 divided by r
3. 29 - r
Answer:
2
Step-by-step explanation:
quotient of two numbers means that you divide those two numbers.
Answer:
2. 29 divided by r
Step-by-step explanation:
this is division, so the key term divided by must come in.
A bag contains 10 colored marbles - 4 red, 4 blue and 2 green. Calculate the probability of removing 2 green marbles in a row if you do not replace the marble each time.
Answer:
I think it would be a 20 percent
Step-by-step explanation:
because the 4 red is 40% the blue is another 40% then the green is only 20 I could be wrong though hope this helped
Find the answer To Y
Answer:
I think the answer is y=5x-15
or
y=2x-6
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
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