I only need 3 and 4 done Explain your reasoning and find the measures of the numbers
Answers
3) The measures of the numbers are ∠1 =∠3 = ∠4 = ∠6 = 139° and ∠2 = ∠5 = ∠7 = 41°
4) The measures of the numbers are ∠1 =∠3 = ∠5 = 117° and ∠2 = ∠4 = ∠6 =∠7 = 63°
3.) ∠2 = 41° ( By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)
41° + ∠4 = 180°(Same Side Interior Angles Theorem, when a transversal connects two parallel lines, the interior angles on the same side are supplementary.)
∠4 = 180° - 41° = 139°
∠3 =∠4 = 139°(By the Alternate angle theorem, alternate interior angles are congruent.)
Similarly, ∠5 = 41°
∠1 =∠4 = 139°(By Corresponding Angles Postulate, corresponding angles are congruent in parallel lines are cut by a transversal.
∠4 =∠6 = 139° and ∠7 =∠5 = 41°(By Vertical Angles Theorem, as they both are pairs of vertically opposite angles)
4) ∠5 = 117° (By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)
117° + ∠4 = 180° (By Same Side Interior Angles Theorem)
∠4 = 180°- 117° = 63°
∠2 = ∠4 = 63° (By Vertical Angles Theorem)
∠2 = ∠6 = 63° (By Corresponding Angles Postulate)
∠3 = 117° (By Corresponding Angles Postulate)
∠1 = ∠3 = 117° (By Vertical Angles Theorem)
∠6 = ∠7 = 63° (By Vertical Angles Theorem)
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Related Questions
Can some one help please I don’t know their
Answers
Answer: 2 complex solutions; the discriminant is less than zero
Step-by-step explanation:
When the D<0 there are no real solutions because the quadratic does not intercept the x-axis on the graph.
please help I will give you brainliest
Answers
Answer:
Both the line right before the 2 and the line right before the one
Step-by-step explanation:
A carpenter cuts lumber to a length of 36 inches. For her project, the lumber must be accurate
within 25 inches Write an inequality to represent the acceptable length of the lumber, then
solve the inequality.
Answers
The inequality to represent the acceptable length of the lumber is 11 ≥ x ≤ 61.
The minimum and maximum length is 11 and 61 inches.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The minimum length will be:
= 36 - 25
= 11 inches
The maximum length will be:
= 36 + 25
= 61 inches
Therefore, the inequality is 11 ≥ x ≤ 61.
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Adrian buys a one-gallon bottle of juice for $17.92. What is the unit rate of the cost of
the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup 8 fluid ounces
=
Before you try that problem, answer the question below.
How many fluid ounces of juice did Adrian buy?
Answers
Answer:
128 fluid ounces per gallon.
Unit rate = $0.14 per fluid ounce of juice.
Step-by-step explanation:
Given:
1 gallon = 4 quarts1 quart = 2 pints1 pint = 2 cups1 cup = 8 fluid ouncesTherefore, the number of fluid ounces in 1 gallon is:
⇒ 4 × 2 × 2 × 8 = 128 fluid ounces
Therefore, Adrian bought 128 fluid ounces of juice.
To find the unit rate of the cost of the juice per fluid ounce, divide the cost per gallon by 128:
[tex]\implies \dfrac{17.92}{128}=0.14[/tex]
Therefore, the unit rate of the cost of the juice per fluid ounce is $0.14.
PAWEZZE HELP ASAP FOR 20 POINTS
Answers
Answer:
the 2nd one
Step-by-step explanation:
Carlos ran an experiment with bean plants. He gave one plant less light and one plant more
light. The plant that got less light grew 2 inches. The plant that got more light grew 3 times
as tall as the plant that got less light.
How many inches did the plant that got more light grow?
Answers
Answer:
it grew 6 inches. 3x2=6.
Need help pleaseeeeeer
Answers
How many meters are in 18200 millimeters
Answers
Answer:
18.2
Step-by-step explanation:
18200/1000 becuase their are 1000 millimeters in a meter
Write an equation of the line that passes through(0, -2) and(4,10)
Answers
Answer: y = 3x -2
Step-by-step explanation:
1) slope formula
y2 - y1 / x2 - x1
2) find the y's and x's
y2 = 10
y1 = -2
x2 = 4
x1 = 0
3) plug them into the equation
10 - (-2) / 4 -0
10+2/4
12/4
4) simplify
slope = 3
5) write out equation
y = 3x + b
6) plug in coordinates
(0,2)
-2 = 3(0) + b
7) find the y intercept
-2 = b
8) plug in y intercept
y = 3x -2
The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.
The consecutive even numbers are
and
.
Answers
Answer:
12, 14
Step-by-step explanation:
Let x = smaller positive even integer.
Then x + 2 is the next greater even integer.
Add the squares of the numbers.
x² + (x + 2)²
Set the sum equal to 340.
x² + (x + 2)² = 340
x² + x² + 4x + 4 = 340
2x² + 4x - 336 = 0
x² + 2x - 168 = 0
We need to factor the left side. We need 2 factors of -168 that add to 2.
168 = 2³ × 3 × 7
2² × 3 = 12
2 × 7 = 14
14 × (-12) = -168
14 + (-12) = 2
The factors are 14 and -12.
x² + 2x - 168 = 0
(x - 12)(x + 14) = 0
x - 12 = 0 or x + 14 = 0
x = 12 or x = -14
x = 12
x + 2 = 12 + 2 = 14
Answer: 12, 14
Which is the best approximation of 110
Answers
Step-by-step explanation:
We can find the square root of a number by using scientific notations, specifically the one listed below.[tex]110 \times 10^{-1}[/tex]
When dealing with negative exponents to base 10, the answer will move left. To our surprise, though, the number does not become negative. Instead, the answer would be 11, because 110 × 10⁻¹ is like saying 110 ÷ 10, which is 11.[tex]= 11[/tex]
Answer:
Given the answer is 11, we can round that down to 10.5
Hope this helps!
Can some one solve this
Answers
A(2,12) and B(-1,17)
Slope of the line that is parallel to AB is given by formulae y2-y1/x2-x1
=> m = 17-12/-1-2 = 5/-3=-5/3
Also parallel lines run in same direction and hence have same slope!
apply the law of syllogism form a mew statement based on the following
Answers
Okay, here we have this:
Considering the provided sentences, we are going to apply the law of syllogism, so we obtain the following:
Let us remember that the law of Syllogism says that:
(1) If p , then q . And (2) If q , then r .
Then we can derive that: (3) If p , then r .
Applying:
(1) If the dog jumps in the lake, then it gets wet. (R->S)
(2) If the dog gets wet, then it can't come in the house. (S->T)
We can derive that:
(3) If the dog jumps in the lake, then it can't come in the house. (R -> T)
It's no small feat to travel 160,000,000km, to visit 200 million children, in 800 million homes, in only 34 hours... Luckily Santa has magic on his side. If he visits 200,000,000 children in 34 hours, How many Kids per hour.
Answers
Answer
Santa visits 5,882,353 kids per hour
Explanation
The mathematical expression to get the number of kids visited per hour is
[tex]\text{Number of kids visited per hour = }\frac{Total\text{ number of kids}}{Total\text{ number of hours available}}[/tex]Total number of kids = 200,000,000 kids
Total number of hours available = 34 hours
[tex]\begin{gathered} \text{Number of kids visited per hour = }\frac{200000000}{34} \\ =5,882,352.94 \\ =5882352\text{ kids per hour to the nearest whole number} \end{gathered}[/tex]Hope this Helps!!!
Javen babysat his little brother on
Saturday and made $66.50. He
babysat for 7 hours. How much
money did he earn per hour? Help
Answers
Answer:
$9.50
Step-by-step explanation:
9.5
7 66.5
63
35
35
0
Hopes this helps please mark brainliest
Answer: 9.50
Step-by-step explanation:
I calculated and estimated a solution to this problem.
Its 9.50
figure it out ig thats how I did it.
Y=5575•(0.65)^ta. What is the initial value? b. What is the decay factor?
Answers
a) Initial Value = 5575
Decay factor = 0.35
Explanation:The given expression is:
[tex]Y\text{ = 5575}\times(0.65)^t[/tex]a) What is the initial value
The initial value of Y will take place when t = 0
Substituting t = 0 into the given equation:
[tex]Y\text{ = 5575}\times(0.65)^0[/tex][tex]Y=\text{ 5575 }\times\text{ 1 = 5575}[/tex]The initial value is Y = 5575b) What is the decay factor
The value of a substance due to an exponential decay is given by the general expression:
[tex]Y=A(1-r)^t[/tex]Where A = original/Initial value, and r = decay rate
Comparing the above equation with the given equation shown below:
[tex]Y=5575(0.65)^t[/tex]It is clear from the comparison of both equations that A = 5575 and :
1 - r = 0.65Solving for r:r = 1 - 0.65r = 0.35The decay factor is 0.35Determine whether a triangle with the given side lengths is a right triangle. side lengths right triangle not a right triangle not enough information 5, 13, 14 18, 24, 30 8, 15, 17 22, 29, 36
Answers
Answer:
It is a right triangle
Step-by-step explanation:
Triangle abc is located on a coordinate plane angle c is at (1,2) the triangle is rotated counter clockwise 90° about the origin enter coordinates for c’
Answers
After rotating a point C 90° counterclockwise about the origin the coordinates of C' would be (-2, 1)
In this question, we have been given a triangle ABC.
A point C is at (1, 2)
The triangle is rotated counter clockwise 90° about the origin.
We need to find the coordinates of C' which is image of vertex C after rotation.
We know that, if we rotate a point 90° counterclockwise about the origin a point (x, y) becomes (-y, x).
Here C(1, 2) is rotated 90 degrees counterclockwise about the origin.
So, the coordinates of C' would be,
C' = (-2, 1)
Therefore, after rotating a point C 90° counterclockwise about the origin the coordinates of C' are (-2, 1)
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Every animal in the world needs these things to survive...
MARK ALL THAT ARE TRUE! There are THREE!!
Dirt
Food
Water
Carbon Dioxide
Sunlight
Oxygen
Answers
Every animal in the world needs these things to survive:
FoodWaterOxygenWhat is a living organism?A living organism can be defined as an organism which possesses an organized structure, cells, and equally show the characteristics of life.
Basically, some of the characteristics of a living organism include the following:
MovementReproductionNutrition such as food and water.IrritabilityGrowthExcretionRespiration such as oxygen.DeathIn this context, we can reasonably and logically deduce that all living organisms in the world such as animals, human beings, etc., all require food, water and oxygen in order to survive.
On the other hand (conversely), living organisms such as plants only require water, carbon dioxide, and sunlight in order to survive.
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what comes to mind when you hear the terms of Alexander the Great Persian Empire
Answers
Alexander the Great, also referred to as Alexander III of Macedon, was a ruler of the Macedonian kingdom in ancient Greece. At the age of 20, he succeeded his father Philip II to the throne in 336 BC, and throughout the majority of his reign, he waged a protracted military campaign across Western Asia and Egypt.
Who was Alexander the Great?Alexander the Great, who ruled ancient Macedonia for fewer than 13 years, altered the course of history. He built a massive empire that spanned from Greece to part of India and from Macedonia to Egypt, making him one of history's greatest military leaders.
Aristotle taught Alexander until he was 16 years old. He campaigned in the Balkans in 335 BC, not long after assuming the throne of Macedon, and reasserted control over Thrace and Illyria before marching on the city of Thebes, which was subsequently slain in combat.
Then, Alexander served as the League of Corinth's head and utilized his position of power to undertake the pan-Hellenic project that his father had envisioned, taking charge of all Greeks in their conquest of Persia.
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5 is not more than x
Answers
"not more" means "less than or equal to". We just have to use the inequality sign "less than or equal to" which means 5 is less than or equal to x.
Having said that, we can express the statement as follows
[tex]5\leq x[/tex]Given θ is in the third quadrant, φ is in the second quadrant, sinθ=-5/13, and tanφ=-8/15. Find the value of tan(π+θ)1) 12/52) 13) 5/12
Answers
Can somebody help me with 7 and 8
Answers
The vertices of parallelogram MNOP after a rotation of 180° are: M' (-1, -7), N' (-8, -5), O' (-4, -2), and P' (3, -4).
A counterclockwise rotation of 270° to triangle GHI would produce an image with this vertices: G' (-2, 0), H' (-6, -7), and I' (-8, -3).
How to determine the vertices of the image?In this exercise, you are required to rotate parallelogram MNOP by 180° and triangle GHI by 270° in a counterclockwise direction. In Geometry, the rotation of parallelogram MNOP 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the vertices (-x, -y):
(x, y) → (-x, -y)
Point M' = (1, 7) → Point M' = (-(1), -(7)) = (-1, -7).
Point N' = (8, 5) → Point N' = (-(8), -(5)) = (-8, -5).
Point O' = (4, 2) → Point O' = (-(4), -(2)) = (-4, -2).
Point P' = (-3, 4) → Point P' = (-(-3), -(4)) = (3, -4).
In Geometry, the rotation of triangle GHI by 270° about the origin in a counterclockwise direction would produce a point that has the vertices (y, -x):
(x, y) → (y, -x)
Points at G = (0, -2) → Points at G' = (-2, 0)
Points at H = (7, -6) → Points at H' = (-6, -(7)) = (-6, -7).
Points at I = (3, -8) → Points at I' = (-8, -(3)) = (-8, -3).
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f(n) = 4n+ 3
g(n) = n³-3n
Find (f - g)(n)
Answers
Answer:
[tex]-n^3+7n+3[/tex]
Step-by-step explanation:
[tex](f-g)(n)=f(n)-g(n) \\ \\ =4n+3-n^3+3n \\ \\ =-n^3+7n+3[/tex]
Answer for (4)(4+2^2-4) ???
Answers
Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn. Nadim has remained in the same place. What integer represents Kyle’s location relative to Nadim’s location on the game board?
Answers
The integer -5 represents Kyle’s location relative to Nadim’s location on the game board.
It is given in the question that Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn while Nadim remained in the same place.
We have to find the integer that represents Kyle’s location relative to Nadim’s location on the game board.
We usually denote going ahead by the positive sign and the going back by the negative sign.
Hence, Kyle moving back 2 spaces and then again moving back 3 spaces is equal to moving back 5 spaces which will be represented by the integer -5.
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Point T and point U are shown below.
What are the coordinates of the midpoint of
point T and point U?
Y
U (4, 12)
T(4,2)
Answers
solve this math . please
Answers
Answer:
what kind of math question Is this?
Answer:
14
Step-by-step explanation:
becaus3 9+5=14......
What is an equation of the libe that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answers
The name of the line equation that runs parallel to the line x-2y=6 and goes through the point (-6,-8). The equation standard form is x - 2y = 10.
Given that,
We have to find what is the name of the line equation that runs parallel to the line x-2y=6 and goes through the point (-6,-8).
This slope is m for a line equation in slope-intercept form (y=mx+b).
When a line in Standard Form (Ax+By=C) is transformed into slope-intercept form, the slope is (-A/B).
The question gives the equation x-2y=6. The parallel line has the equation in Standard Form, or x-2y=C. Use the point to find C:
x-2y = C
(-6)-2(-8) = C
10 = C
Therefore, The parallel line has the following "an equation" in Standard Form: x - 2y = 10.
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solve for x of the triangle
Answers
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Since on one side of the triangle, both of the side halves are equal, then 5x-4 and 3x+2 are equal.
[tex]5x-4=3x+2[/tex]
We can just use simple algebra to find x.
[tex]5x-4=3x+2\\5x=3x+6\\2x=6\\x=3[/tex]
