Answer:
For the statement;
If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]
The contrapositive statement is therefore;
If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
Answer:
If M is not the midpoint of , then is not congruent to
Step-by-step explanation:
the pair of figures is similar. find x. round to the nearest tenth if necessary.
A: 34cm
B: 29.6cm
C: 9.8cm
D: 21.9cm
Answer:
B
Step-by-step explanation:
A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift. What is the maximum radius of the ball that Jimmy can wrap? Use 3.14 for π.
a. 3.8
b. 4.3
c. 9.2
d. 18.5
Answer:
Radius, r = 3.8 inch
Step-by-step explanation:
A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift.
We need to find the maximum radius of the ball that Jimmy can wrap. The volume of a spherical shaped object is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
r = radius of the ball
[tex]r=(\dfrac{3V}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 232.2}{4\times 3.14})^{1/3}\\\\r=3.8\ \text{inch}[/tex]
So, the maximum radius of the ball that Jimmy can wrap is 3.8 inches. Hence, this is the required solution.
The maximum radius of the ball that Jimmy can wrap is 3.8 inches.
Maximum radius of the ball
The maximum radius of the ball is calculated from volume of a sphere.
V = ⁴/₃πr³
where;
r is radius of the spherical ball232.2 = ⁴/₃πr³
3(232.2) = 4πr³
696.6 = 4πr³
r³ = 696.6/4π
r³ = 55.433
r = (55.433)^¹/₃
r = 3.8 in
Thus, the maximum radius of the ball that Jimmy can wrap is 3.8 inches.
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I need help asap pls help me
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
use the data from the table to create a scatter plot. plot al the data points from the table.
Answer:
Place a point at
8,4
5,7
6,5
10,4
2,11
4,7
3,9
1,13
1,11
3,12
4,2
7,2
5,24
9,3
5,5
Step-by-step explanation:
Answer:
Put points on
8,4
5,7
6,5
10,4
2,11
4,7
3,9
1,13
1,11
3,12
4,2
7,2
5,24
9,3
5,5
Step-by-step explanation:
Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?
Answer:
She uses 7.5 feet of twine to make 3 bundles of wood.
Find the distance of point U(2, 3) from point V(5, 7).
Answer:
5
Step-by-step explanation:
You can draw a point at (5,3) and call it point A.
Connect point A with V and U to get VA = 4 and UA = 3.
You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.
The answer is 5
Please help! I don’t understand
the correct answer is B
The answer is definitely B
What’s the vertex of y=1/3(x+2)^2-5
Answer:
vertex is (2,-5)
Step-by-step explanation:
y = a(x – h)^2 + k
the vertex is (h,k) in the equation h =2 and k = -5
The perimeter of the scalene triangle is 54.6 cm.
A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.
Which equation can be used to find the value of b if side a measures 8.7 cm?
8.7 plus b equals 54.6
17.4 plus b equals 54.6
26.1 plus b equals 54.6
34.8 plus b equals 54.6
Answer:
8.7 plus b equals 54.6
Step-by-step explanation:
4(8.7) + b = 54.6.
b = 19.8 cm.
The sum of the sides = the perimeter = 3a + a + b = 54.6.
Now a = 8.7, so:
3(8.7) + 8.7 + b = 54.6
4(8.7) + b = 54.6.
b = 54.6 - 4(8.7)
b = 19.8.
Answer: D.) 34.8 + b = 54.6
Step-by-step explanation: i hope this helps :)
Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18
Answer:
b) -185/18
Slope of the line [tex]m = \frac{-185}{18}[/tex]
Step-by-step explanation:
Explanation:-
Given two co-ordinates are
[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]
[tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]
On simplification, we get
[tex]m = \frac{-185}{18}[/tex]
Alaine has 1 gallon of paint. She is going to pour it into
paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in?, 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in
The paint will fill the tray exactly
The paint will overfill the tray by 5.22 in?
Answer:
First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B.
Step-by-step explanation:
lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?
Answer:
Lindsey got 70% on this assignment.
Step-by-step explanation:
21 divided by 30 equals 0.7 which is 70% in percent form.
Answer:
She earned a seventy percent.
Step-by-step explanation:
You set the problem up like 21/30 = x/100.
Then, you cross multiply and you get 30x=2100.
From there, you divide each side by thirty and then you get x = 70.
And that brings you to 70 percent. Hope this helps!
rewrite the expression with a rational exponent as a radical expression.
Third option is the correct answer.
Answer:
[tex] \sqrt{5} [/tex]
Step-by-step explanation:
[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]
factor the expression. x^2+11x+28
Answer:(x+4)(x+7)
Step-by-step explanation:
The middle number is 11 and the last number is 28.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 11
Multiply together to get 28
Can you think of the two numbers?
Try 4 and 7:
4+7 = 11
4*7 = 28
Fill in the blanks in
(x+_)(x+_)
with 4 and 7 to get...
(x+4)(x+7)
How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided
Answer:
Shift 1 unit to the right, i.,e. option (c).
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer:
It C
Step-by-step explanation:
If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?
Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign
Step-by-step explanation:
[tex](g*h)(x)=g(x)*h(x)[/tex]
So this means the functions should be multipled and both evaluated at x = 5
The value of the composition of functions ( g o f ) ( 5 ) = 4
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as h ( x )
Now , the value of h ( x ) is
h ( x ) = x - 7
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = x²
Now , the composition of function ( g o f ) ( 5 ) is given by
The value of f ( 5 ) = 5 - 7 = -2
Now , the value of g ( -2 ) is
g ( -2 ) = ( -2 )²
g ( -2 ) = 4
Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4
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Which expression is equivalent to
15a8b4/5a4b?
Answer:
[tex]3a^4b^3[/tex]
Step-by-step explanation:
[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]
Pls I Need Help!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters.
Given that these triangles are similar, which side corresponds to side GE?
Given that these triangles are similar, which side corresponds to side JK?
Answer: The first one is KL and the second one is most likely FG.
Answer:
1: KL
2: FG
Step-by-step explanation:
Just did it on Edge 2020-2021
what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4
Answer:
maximum point: (0, 4)
x-intercepts: (2, 0), (-2, 0)
y-intercepts: (0, 4)
y = 6x - 11
- 2x – Зу = -7
Solve the systems of equations by substitution
The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
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Every summer Kendra plants a vegetable garden in her yard last year she planted six rows of tomatoes eight rows of peppers Kendra wants to keep the same ratio this year but she only plants to plant three roasted tomatoes how many rows of peppers well Kendra plant this year
Answer: Ratio's 3:5
Step-by-step explanation:
Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5
((Hope it Helps))
(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?
Answer:
It's the last answer choice
Step-by-step explanation:
2x+3> -9
2x+3-3> -9-3
2x> -12
2x/2> -12/2
x> -6
Answer:
d
Step-by-step explanation:
What is the inverse of the function f(x) = 4x - 12
Answer:
y=x+12/4
Step-by-step explanation:
y=4x-12
x=4y-12 (then make y the subject)
x+12=4y(divide both sides by 4)
y=x+12/4
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.
Answer:
1/30
Step-by-step explanation:
well if there are 150 cards on the table and 5 are bonus, this can be turned into a simple fraction 5/150. just simplify and you are good to go!
Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?
express 1.875 in the form p/q
Answer:
If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]
If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
[tex]1.875=\frac{1.875}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]
[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125
[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]
Simplify the improper fraction
[tex]=1\frac{7}{8}[/tex]
How do I find the value of x to the nearest degree?
Answer:
I don't know if it's too advanced for you but you could use the arctangent function.
[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]
The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*
Answer:
The second choice. m < 4 = 85 degrees.
Step-by-step explanation:
m < 4 = 180 - m < 1
= 180 - 95
= 85 degrees.
The measure of angle 4 is 85 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that measure of Angle 1 is 95 degrees.
Therefore, we can see that angle 4 and Angle 1 makes linear pair so.
Angle 4 = 180 - Angle 1
= 180 - 95
= 85 degrees.
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Please HELP!! will mark brainiest
Which correlation coefficient could represent the relationship in the scatterplot? A) 0.34 B) -.098 C) -1.43 D) 0.99
Answer:
B) -0.98
Step-by-step explanation:
Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.
The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.
Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.
Answer:
-0.98
Step-by-step explanation:
wiil mark bianleast
Which describes the translation?
7 units to the right and 2 units down
7 units to the right and 2 units up
2 units to the left and 7 units up
7 units to the left and 2 units down
Answer:
7 units to the right and 2 units up
Step-by-step explanation:
