Answer:
C. <VZW ≅ <YZX
Step-by-step explanation:
The SAS Similarity theorem says that two triangles are considered similar to each other, when 2 of the corresponding side lengths of the triangles are proportional to each other, and also the included angles in each triangle are congruent.
We are given the two sides of each triangle that corresponds to each other already. So, the next item to be used in order to prove that both triangles are similar is the corresponding included angles that should be congruent to each other. Thus:
The included angle, <VZW in ∆VWZ corresponds to the included angle, <YZX in ∆YXZ.
Therefore:
<VZW ≅ <YZX
BRAINIST AND 10 POINTS
Step-by-step explanation:
12 I believe
have a great dayy
happy summee
A group of three people are selected at random, what is the probability that all the three people have different birthdays.
Answer:
1:1
Step-by-step explanation:
this is because they are selected at random 3/3=1
You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.
Step-by-step explanation:
P(red) = 12/(12+10+5+4+29)
= 12/60
= 1/5
= 0.2
= 20%
BRAINIEST AND 10 POINTS
Answer:
-3.125
Step-by-step explanation:
1/8 in decimal form is .125
-3 1/8 = -3.125
Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?
Answer:
the answer is 3800mm.because 1m is 1000mm
I’ll give brainliest if you answer this right
Answer:
$16 per hour
Step-by-step explanation:
He earns $16 per hour as shown in the figure
Can someone help me please !
What is the mean of the following numbers?
x-3a,x-2a,x-a,x,x+a
Answer:
x-a
Step-by-step explanation:
Mean=sum of data /no of data
=x-3a+x-2a+x-a+x+x+a/5
=5x-5a/5
=5(x-a)/5
=x-a
PLEASE HELP ME ITS DUE SOON
Solve for ? Round to near whole number
Answer:
? =50
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/hyp
Taking the inverse cos of each side
cos^-1 (cos ?) = cos^-1( 14/22)
? =50.47880364
To the nearest degree
? =50
what is 4/7 x 13/9 I need help please
Answer:
0.825
Step-by-step explanation:
Answer:
52/63
hope this helps
have a good day :)
Step-by-step explanation:
for what value of a is x-3 a factor of x^3-4x^2+ax-2a
Answer:
2x
Step-by-step explanation:
because it's2 so two ok carRy on
The value of a is 9.
What is factor?
A factor of polynomial P(x) is any polynomial which divides evenly into P(x).
How to find the solution for a polynomial?For finding the factor of a polynomial we will perform following steps:
If f(x) is any polynomial then substitute f(x) = 0.Then factorize the given polynomial by splitting the middle term. Then solve for x.According to the given question.
We have a cubic polynomial [tex]x^{3} -4x^{2} +ax -2a[/tex]
Also, x - 3a is a factor of the given polynomial.
⇒ [tex]x - 3 = 0[/tex]
⇒[tex]x = 3[/tex]
⇒ 3 is the one solution of the given cubic polynomial.
If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).
So, substitute the value of x in the given polynomial.
[tex](3)^{3} -4(3)^{2} + a (3) - 2a = 0[/tex]
⇒[tex]27 -4(3)^{2} +a(3) -2a=0[/tex]
⇒[tex]27 - 36 + 3a - 2a= 0[/tex]
⇒[tex]-9 + a = 0[/tex]
⇒ [tex]a = 9[/tex]
Therefore, the value of a is 9.
Find out more information about factor and solution of polynomial here:
https://brainly.com/question/26354419
#SPJ2
1 less than the square of a number.
3 is the only number which is one less than a square...
Use the synthetic division to find the real zeros of f(x)=2x3 +7x2+2x-3
Answer:
[tex]f(x) = {2x}^{3} + {7x}^{2} + 2x - 3 \\ f( \frac{1}{2} ) = 0 \\ f( - 3) = 0 \\ zeros \: = > 0 \: \: and \: \: - 3[/tex]
Please help is for now
Answer:
[tex]2[/tex]
Step-by-step explanation:
Given:
[tex]-2(1-4x)=3x+8[/tex]
Let's distribute the parenthesis
[tex]-2+8x=3x+8[/tex]
Let's subtract [tex]-3x[/tex] from both sides
[tex]-2+5x=8[/tex]
Let's add [tex]2[/tex] to both sides
[tex]5x=10[/tex]
Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone
[tex]x=2[/tex]
Hope this is helpful
Step-by-step explanation:
How to solve your problem
−2(1−4)=3+8
-2(1-4x)=3x+8−2(1−4x)=3x+8
Solve
1)
Rearrange terms
−2(1−4)=3+8
-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8
−2(−4+1)=3+8
-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8
2)
Distribute
−2(−4+1)=3+8
{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8
8−2=3+8
{\color{#c92786}{8x-2}}=3x+88x−2=3x+8
3)
Add
2
22
to both sides of the equation
8−2=3+8
8x-2=3x+88x−2=3x+8
8−2+2=3+8+2
8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2
4)
Simplify
Add the numbers
Add the numbers
8=3+10
8x=3x+108x=3x+10
5)
Subtract
3
3x3x
from both sides of the equation
8=3+10
8x=3x+108x=3x+10
8−3=3+10−3
8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x
6)
Simplify
Combine like terms
Combine like terms
5=10
5x=105x=10
7)
Divide both sides of the equation by the same term
5=10
5x=105x=10
55=105
\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510
8)
Simplify
Cancel terms that are in both the numerator and denominator
The scatterplot shows the time spent playing a video game and the number of points scored by several students.
Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?
It seems you havent posted a graph
An analyst tested the null hypothesis µ ≥ 30 against the alternative hypothesis that µ < 30. The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?
Answer:
For significance levels lower than 0.07, the null hypothesis would be rejected.
Step-by-step explanation:
Decision regarding the null hypothesis:
The decision depends on the p-value of the test.
If the p-value of the test is less than the significance level, the null hypothesis is reject.
If the p-value of the test is more than the significance level, the null hypothesis is not reject.
The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?
From the theory above, for significance levels lower than 0.07, the null hypothesis would be rejected.
The circumference of a circle is 36 cm.
What is the radius of the circle?
Answer:
The radius is 6 cm rounded
Step-by-step explanation:
[tex]C[/tex] stands for circumference
[tex]r[/tex] stands for radius
here's the formula to find the radius: [tex]r=\frac{C}{2\pi }[/tex]
[tex]r=\frac{36}{6.283}[/tex]
[tex]r=5.729[/tex]
Hope this helps
Answer:
r = 18/pi or approximately 5.732484076 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
36 = 2*pi*r
Divide each side by 2 pi
36 / (2pi) = 2pi r/ (2pi)
18/ pi = r
Using 3.14 for pi
18/ 3.14 = r
5.732484076 = r
5.6x10^11-1.12x10^10=
Answer:
548800000000
Step-by-step explanation:
5.6 × 10¹¹ - 1.12 × 10¹⁰
560000000000 - 11200000000
548800000000
Write the equation of the line that passes through the points (1, -7) and (-6, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.?
Answer:
y = 2/7 x - 51/7
Step-by-step explanation:
Equation of the line
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-(-7)/(-9-(-7) = (x-1)/(-6-1)
(y+7)/-2 = (x-1)/-7
(-y-7)/2 = (-x+1)/7
-y-7 = -2/7 x + 2/7
-y = -2/7x +2/7 + 7
y = 2/7 x - 2/7 - 7
y = 2/7 x + (-2-49)/7
y = 2/7 x - 51/7
Work out the size of angle x
Answer:
[tex]x=47^{\circ}[/tex]
Step-by-step explanation:
By definition, parallelograms have two pairs of parallel sides. Therefore, AD and BC are parallel, and the angles marked with [tex]x[/tex] and [tex]47^{\circ}[/tex] are alternate interior angles. Since alternate interior angles are equal, we have [tex]x=\boxed{47^{\circ}}[/tex]
Hey does anyone know how to solve this need an answer quickly
Evaluate n^2 -m. If you n=-5 and m=3
Answer:
22
Step-by-step explanation:
n² - m =
-5² - 3 =
25 - 3 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
22
Step-by-step explanation:
(-5)^2- 3
two negatives make a positive which would be 25 then minus the 3
=25-3
then you get your total
=22
Find the volume of a prism
Answer:
10x7x5=350. Your answer is B! heart it if it was good!
Step-by-step explanation:
Answer:
to find the volume of a prism you need to multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
What’s the answer and give an explanation.
Answer:
14 = x and 2.5 = y
Step-by-step explanation:
For ABCD - the top is 8 and the sides are 11. 11 minus 8 is 3. 11 plus 3 equals 14, that’s x.
For GHIJ - the bottom is 8 and both sides are 5.5. So 8 minus 5.5 is 2.5. That’s y.
Q10/ scale factor of polygon ABCD to polygon GHIJ = 11/5.5 = 2
Q11/ scale factor of polygon GHIJ to polygon ABCD = 1:2
Q12/ x = 8 × 2 = 16
y = 8 / 2 = 4
Q13/ ABCD ⇒ label x as 16, y as 4
GHIJ ⇒ label HI line to 5.5
Q14/ ratio = 46 : 23
= 2 : 1
hope this helps....
The RAND() function in Excel returns a pseudo-random number between 0 and 1. If you enter this function into 1000 cells (i.e. enter the formula in one cell and copy it to 999 other cells), approximately how many of these cells will contain values less than or equal to 0.2?
a. A number relatively close to 1.
b. A number relatively close to 10.
c. A number relatively close to 100.
d. A number relatively close to 500.
e. A number relatively close to 1000.
Answer:
c. A number relatively close to 100.
Step-by-step explanation:
Given
[tex]Range: 0 \to 1[/tex]
[tex]N =1000[/tex] --- i.e. the cells
Required
Number of cells that contains less than or equal 0.2
Less than or equal 0.2 means that the numbers are approximately 20% of the whole distribution
So, to calculate the number (n) of these cells, we do the following computation
[tex]n = 20\% * N[/tex]
[tex]n = 20\% * 1000[/tex]
[tex]n = 200[/tex]
200 is closer to 100 than 500. Hence, (c) is correct
Please help image attached
A) is -4 a solution to this inequality
B) choose the correct inequality
A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd numbered.
Answer:
[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Red Marble [tex]n_r=6[/tex]
Number of Blue Marble [tex]n_b=8[/tex]
Sample size [tex]n=n_r+n_b[/tex]
[tex]n=6+8[/tex]
[tex]n=14[/tex]
And
No of red or Odd numbered [tex]x= 6+4 = 10[/tex]
Generally the equation for probability the marble is red or odd numbered. is mathematically given by
[tex]P(R or odd Numbered)=x/n[/tex]
[tex]P(R or odd Numbered)=10/14[/tex]
[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]
What is photosynthesis?
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓[tex]\pmb{\qquad{\qquad{\underline{\green{\underline{\sf{Photosynthesis}}}}}}}[/tex]
Photosynthesis is the process by which green plants take in carbon dioxide and water, in the presence of chlorophyll by using sunlight to make their own food. Oxygen is released as a by product.
Chemical Reaction for PHOTOSYNTHESIS:
[tex]\sf 12H_2O + 6CO_2 \underset{chlorophyll}{\xrightarrow{Sunlight}} C_6H_{12}O_6 + 6H_2O + 6O_2 \uparrow[/tex]▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Evaluate the following integral over the ellipse
The underlying vector field,
F(x, y) = -y/(4x ² + 9y ²) i + x/(4x ² + 9y ²) j,
is conservative, so any integral of F over a closed path is 0.
To establish that F is conservative, we want to find a scalar function f(x, y) whose gradient is equal to F(x, y), which entails solving
[tex]\dfrac{\partial f}{\partial x}=-\dfrac y{4x^2+9y^2}[/tex]
[tex]\dfrac{\partial f}{\partial y}=\dfrac x{4x^2+9y^2}[/tex]
Integrating the first equation with respect to x yields
[tex]f(x,y)=-\dfrac16\arctan\left(\dfrac{2x}{3y}\right)+g(y)[/tex]
and differentiating with respect to y gives
[tex]\dfrac x{4x^2+9y^2}=\dfrac x{4x^2+9y^2}+\dfrac{\mathrm dg}{\mathrm dy} \implies \dfrac{\mathrm dg}{\mathrm dy}=0 \implies g(y)=C[/tex]