30. Which reason justifies the statement below?
A. Definition of Congruence
B. Angle Addition Postulate
C. Supplement Theorem
D. Definition of Vertical Angles
The correct reason for the statement ∠1 ≅ ∠2 will be;
⇒ Definition of Vertical Angles.
Option D is true.
What is Vertical angles?
When the two lines are crosses to each other at a point then the vertical angles are formed.
Given that;
∠1 and ∠2 are formed between two lines which crosses at a point.
Now,
The two lines are vertical lines which passes through a point and ∠1 and ∠2 are formed between them.
So, By definition of Vertical Angles;
∠1 ≅ ∠2
Therefore,
The correct reason for the statement ∠1 ≅ ∠2 will be;
⇒ Definition of Vertical Angles.
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using number line what is 4-5
Answer:
-1Step-by-step explanation:
4 - 5 = -1
Count:
4, 3, 2, 1, 0, -1
WHO KNOWS HOW TO DO THIS LET ME KNOW
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Why is sum of yi.ui zero
Answer:
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HELPP I NEED THIS BY 2:30
The second angle of a triangle is 7 more than twice the first angle. The third angle is 3 less than the first. Find all
three angles if the sum of their angles is equal to 180°. (Let x = the measure of the first angle)
Answer:
44, 95, and 41
Step-by-step explanation:
[tex](x) + (2x +7)+(x-3)=180\\4x +4 = 180\\4x = 176\\x = 44[/tex]
Tom plans to save twice as much next month as he did during the months he saved over $30 a month. How much will Tom save next month?
This question is a multiple-choice answer.
A. $63
B. $126
C. $86
D. $43
Answer: i think it is A tell me if i am wrong!
Step-by-step explanation:
June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?
Answer:
it would be larger. the square footage is 56 square feet.
Step-by-step explanation:
What’s 59+(h-11) ??????
The angle measures of a triangle are shown in the diagram below.
What is the value of x?
Record your answer in the grid. Be sure to use the correct place value.
8 points total
7 points correct answer
1 point correct bubbling on grid
Answer:
6x+90+11x+5=180(sum of interior angle of triangle)
17x=180-95
x=85/17=5 is your answer
SOLVE the EXPRESSION
Evaluate 6s - 3t If s=4 and t=-2
Answer:
30
Step-by-step explanation:
6(4) - 3(-2) =
24 + 6 =
30
y = 5x – 22
3x + 2y = 34
Answer:
y = 5x – 22
3x + 2y = 34
Step-by-step explanation:
Answer:
x = 6, y = 8
Step-by-step explanation:
[tex]y=5x-22\\3x+2y=34\\\\3x + 2(5x-22)=34\\3x + 10x - 44 = 34\\13x - 44 = 34\\13x = 78\\x = 6\\\\y = 5*6-22\\y = 30-22\\y = 8[/tex]
A college newspaper interviews a psychologist about student ratings of the teaching of faculty members. The psychologist says that the evidence indicates that the correlation between the research productivity and teaching rating of faculty members is close to zero. The paper reports this as Professor McDaniel said that good researchers tend to be poor teachers, and vice versa. Which statement in plain language (i.e. without the word correlation) correctly explains the psychologist's meaning?
A)There is little connection between research productivity and teaching rating.
B) While bad researchers tend to be good teachers, there is no similar relationship between good researchers and bad teachers.
C) While good researchers tend to be bad teachers, there is no similar relationship between bad researchers and good teachers.
D) Good researchers tend to be bad teachers and bad researchers tend to be good teachers.
Answer:
The correct option is A.
Step-by-step explanation:
As the psychologist states that there is no correlation found between teaching ratings and research productivity of the same faculty member, meaning that there is no significant relationship between the two. The paper's report states quite the opposite, that there is an inverse correlation. The statement that explains what the psychologist says correctly is A. There is little connection between teaching rating and research productivity.
I hope this answer helps.
Solve and check the equation.
x/9=x/10-4
Answer:
x = -360
Step-by-step explanation:
x/9 = x/10 - 4
=> x/9 - x/10 = -4
=> x/10 - x/9 = 4
=> 9x/90 - 10x/90 = 4
=> -x/90 = 4
=> -x = 90(4)
=> x = -360
Write the exact value of the side length of a square with an area of
95 square units
The side length of the square is a = 9.75 units
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be represented as A
Now , the value of A is
Area of the square = a²
The exact value of the side length of a square with an area of 95 square units can be found by taking the square root of 95.
√95 ≈ 9.74679434481 (approximate value)
Hence , the exact value of the side length of the square is approximately 9.74679434481 units
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7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3
Answer:16
Step-by-step explanation:
1000003842638476238476+2837428734682764283746
Answer:
3.8374326e+21
Step-by-step explanation:
id.k goo.gle said this
please help me out. is it A B C D?
Solve each multi-step equation. Show your work. A - 2 + 3 = -2
Answer:
a is -3
Step-by-step explanation:
negative 3 minus 2 is negative 5 plus 3 is negative 2
Can anyone help me with these 3 questions having trouble understanding
Answer:
1. up
Step-by-step explanation:
iyi dersler Good by
iyi dersler
PLEASE solve the question below
Answer:
42.30 m
Step-by-step explanation:
Let's take the distance between the campsite, AB, to be "x".
Since the two triangles are similar, their corresponding side lengths are proportional. Therefore:
47/x = 82/73.8
Cross multiply
x*82 = 47*73.8
x = (47*73.8)/82
x = 3,468.6/82
x = AB = 42.30 m (nearest hundredth)
Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6
Answer:
The ans is 3,4,5
Step-by-step explanation:
Hope it helps you Tq
At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.
Answer:
Your answer
56100 per person
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
alternate exterior angles theorem
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
are all the second awsner which one is it
i need this awnser
117°
same side interior angles theorem
At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Darius paid for his lunch with a $10 bill, how much change did he get back?
Answer:
he gets 4.33 dollars back
Step-by-step explanation:
add 2.75+1.20+1.35+0.37= 5.67
10-5.67=4.33 $
Answer:
4.33
Step-by-step explanation:
if u add 2.75 1.20 and 1.35 plus the additional 37 cents u get 5.67 then u do 10- 5.67
pa help po dito please need Napo kase ehhh
Help me on question 5!!! Plsss
Answer:
The answer is C
Step-by-step explanation:
use an open circle for "less than" or "greater than"and a closed circle for "less than or equal to" or "greater than or equal to".
Whats the slope to this.
Giving brainliest. Correct answer
Answer:
m=-25
Step-by-step explanation:
m=Δh/Δt
(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)
m=(4500-5000)/(20-0)
m=-500/20
m=-25
How do you find the square root of -24 by simplifying
Answer:
you can't square root with negative numbers the answer will be math error and you cant simplify it unless it has no negative in it.
What is 4•(5+3)=4•8=
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
I hope this helps, and have a great day! :)
Marco is building with bricks. He needs 560 bricks total to build a wall, but only has 445. The price per 5 bricks is $25. How much money does Marco need for a total of 115 bricks?
Answer:
575$
Step-by-step explanation:
If each 5 bricks is 25$ and Marco already has 445 all he needs is 115 more bricks and 115 divided by 5 is 23 so 23 groups of 5 bricks and 23*25 is 575$
I hope this was helpful!!
Samantha works in a chocolate factory at a conveyor belt that is 18 inches wide and moves large amounts of chocolate to packaging. She counts 225 chocolates in a rectangular section of the conveyor belt measuring 6.5 inches long and 18 inches wide. What is the approximate number of chocolates per square inch of the conveyor belt, rounded to the nearest hundredth?
Answer:
1.92 chocolates per in²
Step-by-step explanation:
Given that:
Dimension of conveyor belt :
6.5 inches long and 18 inches wide (6.5in * 18in)
Area of conveyor belt = 6.5 * 18 = 117 in²
Number of chocolate = 225
Number of chocolates per square inch :
225 / 117
= 1.9230769 chocolates
= 1.92 chocolates per in²
