Which of the following is FALSE?
A. A midpoint divides a segment into two equal parts.
B. An angle bisector divides an angle into two equal parts.
C. All right angles are congruent.
D. Vertical angles are acute angles?
Answer:
D
Step-by-step explanation:
Vertical angles are just angles formed by intersecting lines, there is no rule that states they must be acute (they can also be right or obtuse)
The option that is False is that Vertical angles are acute angles.
What is the meaning of the term congruent?In mathematics, the term congruent means a figure, shape, or angle that has two equal parts, size, and length.
It is true that the midpoint of a segment refers to the line that splits the segment into two congruent(equal parts)Also, at any two equidistant points, an angle bisector divides an angle into two equal parts.All right angles are also congruent to one another.However, vertical angles assume a right angle and they are perpendicular to the straight line which makes them 90°, but we know that acute angles are angles that are less than 90°.
Therefore, we can conclude that vertical angles are not acute angles.
Learn more about congruent angles here:
https://brainly.com/question/24281994
#SPJ5
Given the scale factor R = 1/3, if AB = 12 cm, how ling is A’B’?
A. 36 cm
B. 3 cm
C. 8 cm
D. 15 cm
E. 4 cm
Answer:
E. 4 cm
Step-by-step explanation:
Given:
Scale factor (R) = [tex] \frac{m_{image}}{m_{preimage}} = \frac{1}{3} [/tex]
AB = 12 cm
Required:
Length of A'B'
SOLUTION:
A'B' = length of the image = x cm
AB = length of the preimage = 12 cm
Thus, using the scale factor given, the length can be calculated as shown below:
[tex] \frac{m_{image}}{m_{preimage}} = \frac{x}{AB} = \frac{1}{3} [/tex]
[tex] = \frac{x}{12} = \frac{1}{3} [/tex]
Multiply both sides by 12
[tex] \frac{x}{12}*12 = \frac{1}{3}*12 [/tex]
[tex] x = \frac{12}{3} [/tex]
[tex] x = 4 [/tex]
x = A'B' = 4 cm
Enter the improper fraction as a mixed number.
23/9
Answer:
2 5/9 is the mixed number
Step-by-step explanation:
2x9=18
23-18=5
Answer:
2 5/9
Step-by-step explanation:
Just divide by 9 and leave the remainder over 9
So 23/9 is 2 R 5
So the answer is 2 5/9
What is the surface area of a box with a length of 6 ft, a width of 3 ft, and a height of 2½ ft?
Answer:
Step-by-step explanation:
Remark
The surface area is the area of all six sides when the object is a box.
Formula
SA = 2*L*w + 2*L*h + 2*w*h
Givens
L = 6 ft
w= 3 ft
h = 2.5 feet
Substitute and Solution
SA = 2*6*3 + 2*6*2.5 + 2*3*2.5
SA = 36 + 30 + 15
SA = 81
For what value of X must ABCD be a parallelogram?
Answer:
x = 9
Step-by-step explanation:
If ABCD is a parallelogram, then 6x = 7x - 9
as the point of intersection of the 2 diagonals is the midpoint of AC
6x = 7x - 9
Subtract 6x from both sides:
⇒ 0 = x - 9
Add 9 to both sides:
⇒ 9 = x
Solution:
We know that:
[tex]\frac{AC}{2} = 6x[/tex]This means that:
[tex]AC = (6x)(2) = 12x[/tex][tex]AC = 12x = 6x + 7x - 9[/tex]Step-by step calculations:
Simplify the RHS:
[tex]12x = 6x + 7x - 9[/tex]=> [tex]12x = 13x - 9[/tex]Subtract 13x both sides:
=> [tex]-13x + 12x = 13x -13x - 9[/tex]=> [tex]-x = -9[/tex]Divide -1 both sides:
=> [tex]-x = -9[/tex]=> [tex]\frac{-x}{-1} = \frac{-9}{-1}[/tex]=> [tex]x = 9[/tex]Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. . Determine her monthly payment. Round to the nearest cent. What is the total amount she will pay back? What is the total interest amount?
The total interest amount, the total amount to be paid, and her monthly payment over 7 years is mathematically given as
X=741.2Y=11641.2z=138.5857What is the total amount she will pay back and the total interest amount?Question Parameters:
Maribel was approved for a 7-year private student loan at 6.8%
costs of $10,900
Generally, the total interest amount is mathematically
given as
X=10900*0.068
X=741.2
Therefore total amount to be paid is
Y=10900*741.2
Y=11641.2
In conclusion, her monthly payment over 7 years
z=11641.2/(7*12)
z=138.5857
Read more about Interest
https://brainly.com/question/2455673
Answer:
Step-by-step explanation:
The total interest amount, the total amount to be paid, and her monthly payment over 7 years is mathematically given as
X=741.2
Y=11641.2
z=138.5857
What is the total amount she will pay back and the total interest amount?
Question Parameters:
Maribel was approved for a 7-year private student loan at 6.8%
costs of $10,900
Generally, the total interest amount is mathematically
given as
X=10900*0.068
X=741.2
Therefore total amount to be paid is
Y=10900*741.2
Y=11641.2
In conclusion, her monthly payment over 7 years
z=11641.2/(7*12)
z=138.5857
Find the slope and the y-intercept of the graph of the linear equation.
Explanation
The given equation y = 2x+3 is in the form y = mx+b
Compare the terms to see that 2x matches with mx, so m = 2
The other term matches with b, so b = 3
m is the slope and b is the y intercept, so that's how I got those answers above.
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?
(x, y) → (x + 4, y – 8)
(x, y) → (x – 4, y – 8)
(x, y) → (x – 8, y + 4)
(x, y) → (x + 8, y – 4)
Answer:
(x, y) → (x – 8, y + 4)
Step-by-step explanation:
Given:
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y).
To Find:
Which is another way to write this rule?
Solve:
Therefore the answer is (x, y) → (x – 8, y + 4)
!Lenvy~
Answer:
(x, y) → (x – 8, y + 4)
Step-by-step explanation:
Simplifiy:
2a+5a
12x-3x
3p+2p-p
Please help
What are all the possible
outcomes that add up to
7 when you roll two
dice? Include 3+4 and
4+3.
Please help
Answer:
5+2, 2+5, 4+3, 3+4, 6+1, 1+6, 7+0, 0+7
Step-by-step explanation:
Hope this helps!
Find the square of 75.
Answer:
8.66025 or 5√3
Step-by-step explanation:
Factor
25
out of
75
.
√
25
(
3
)
Rewrite
25
as
5
2
.
√
5
2
⋅
3
Pull terms out from under the radical.
5
√
3
The result can be shown in multiple forms.
Exact Form:
5
√
3
Decimal Form:
8.66025403
Rate of Change Find the rate of change given 2 points 1. (9, 4)(7,8) 2. (0,5) (5, 15) (-8, -2)(-3, 10) (5, 12)(5, 12) 5. (23, 43)(56, 17) 3. A.
Answer:
(y₂ - y₁) / (x₂ - x₁)
Step-by-step explanation:
PLEASE HELP FAST triangle abc is translated 4 units down and 6 units right, resulting in triangle A’B’C’
Answer:
D. (6,-1)
Step-by-step explanation:
Translating is just sliding slide the point B down 4 units from where it is and then move over 6 units to the right.
PLEASE HELP ME ASAP! CLICK ON THE PICTURE AND ZOOM IN TO HELP ME!
Answer:
A.
Step-by-step explanation:
Janes Raise: 4% of 41,200:
1648
Johns Raise; 4.5% of 43,900:
1975.4
Jacks Raise: 3% of 39,700:
1191
1648+1975.5+1191 = 4,814.5 which is about $4,815
3.Paul owes his father $56.78. He borrows $20 more from his father. Write an expression to represent his debt. Helpp plzzz asap
helppppppppppppppppppppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20
Work out the length of X.
х
8 cm
15 cm
Using the Pythagorean theorem which states that;
a²+b²=c²
or
side (1) ²+side (2) ²=hypotenuse²
15²+8²=x²
225+64=x²
289=x²
Take the square root of both sides to get;
x=√289=17
x=17
Step-by-step explanation:
[tex] \longmapsto \: hypotenuse(h) = x \\ \longmapsto \: perpendicular(p) = 15cm \\ \longmapsto \: base(b) = 8cm \\ using \: pythagoras \: theorem \\ \hookrightarrow {h}^{2} = {p}^{2} + {b}^{2} \\\hookrightarrow {x}^{2} = ({15cm}^{2} + ({8cm})^{2} \\ x = \sqrt{225 {cm}^{2} + 64 {cm}^{2} } \\ \hookrightarrow \: x = \sqrt{289 {cm}^{2} } \\ \hookrightarrow \: x = 17cm [/tex]
I’m like really bad at math so can someone please help me pleaseee
Answer:
The biggest differentiating factor between a function and NOT a function
is that a function gives only one output for any given input. so no matter how many times you use the same value in the function, you will get the same output
A relation which is not a function will have 2 or more outputs for a single input
So if we have more than 1 similar input values in the table and given them different outputs, the relation will NOT be a function
I will take 2 similar inputs "1" and give them different outputs, the rest of the table can be randomly filled
x y
1 4
3 7
5 9
1 2
is 5/10 equivalent to 1/6
Answer:
No, its not equivalent
1/2 is equivalent though
Please mark as brainliest
Answer:
No
Step-by-step explanation:
Given the following question:
[tex]\frac{5}{10}[/tex]
You can prove 5/10 isn't equivalent to 1/6 by simply reducing 5/10.
[tex]\frac{5}{10}[/tex]
[tex]\frac{5}{10}\div5=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\frac{1}{2} > \frac{1}{6}[/tex]
5/10 isn't equivalent to 1/6, so your answer is "no."
Hope this helps.
Brainliest If correct help
Answer:
I already answered before but i hope u see this 1, the 1st option
Step-by-step explanation:
PLZ do it. hope it helps :)
Fatih parasının ilk %30unu sonra %35ini harcar ve geriye 105 TL’si kalır. Fatih’in toplamda kaç TL’si vardır?
Answer:
is good by his guan yes is help to me
Q14 what will be the Perimeter of a
rectangle having dimensions 2cm
by 3 cm?
Your answer is 10cm
2l + 2w
4+6=10cm
CONSIDER BRAINLIEST.
Answer:
perimeter: 10 cm
explanation:
perimeter of rectangle: 2 ( length + width )
using this formula:
2( 2 + 3 )
2 ( 5 )
10 cm
What is the quotient and the remainder of 7 divided by 5839
Answer: 834.142857143
Step-by-step explanation: I did it on paper this is like 3rd grade math.
V
Graph the line y= -7.
Answer:
There is no slope, so we draw a line parallel to the x-axis and the width of the origin is equal to -7
35. Find the perimeter and area of the following figure.
10
3
6
5
(The measures are given in centimeters)
To calculate the unit price of an item, divide the total number of units by the total price.
Please select the best answer from the choices provided
Answer:
False
Step-by-step explanation:
To calculate the unit price of an item, divide the total number of units by the total price is a "false statement." To calculate the unit price of an item, you have to understand that unit price means price per unit. To find the unit price we divide the total cost by the amount of items we are given in the question.
Example:
Sarah has 12 apples, she paid 20 dollars for all 12 apples, what is the unit price?
[tex]unitp=cost\div quantity[/tex]
[tex]unit=20\div12=1.66666667[/tex]
[tex]=1.66666667[/tex]
Round the answer to the nearest cent:
[tex]1.66666667[/tex]
[tex]6 > 5[/tex]
[tex]=1.67[/tex]
Which means the unit price of the 12 apples is "$1.67."
Hope this helps.
Jana can spend, at most, $200 on school clothes.
Which inequality represents the amount that Jana can spend on clothes?
Answer:
I believe the answer is c
What score would you need to get on the fifth test to have an average of 90% or higher if your first four scores were 87%, 82%, 91%, and 95%
Answer:
89!
Step-by-step explanation:
There could be multiple ways of doing this. I would personally...
Add all the test scores together.
Then divide the amount of scores.
For example:
90 + 87 + 82 + 91 + 95 = 445
445 / 5 = 89!!
Select the correct locations on the graph.
Select the lines that represent functions.
Answer:
i need that answer to
Step-by-step explanation:
Answer:
the top on the right.
Step-by-step explanation:
Can you answer this one please
Answer:
50⁰
Step-by-step explanation:
Since j and k are parallel lines cut by two transversals,
2+3+5=180⁰ (Allied angles)
We are given 2(60⁰) and 5(70⁰)
so,
60⁰+3+70⁰=180⁰
60+70=130
130⁰+3=180⁰
Bring the 130⁰ to the R.H.S
3=180⁰-130⁰
Therefore,
3=50⁰