What is the value for y?
Enter your answer in the box.
Answer:
angle A=angleB .…(समदिबाहु त्रिभुज भएर)
34°=(x-5)°
or, 34=34
angleA+angleB+angleC=180°
or, 34+34+4y=180
or, 68+4y=180
or, 4y=180-68
or, 4y=112
or, y=112÷4
or, y=28
Question 1(Multiple Choice Worth 4 points)
(02.02) The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Z.
B
6-
5-
3-
2-
n
The figure that shows the reflection of the letter Z is C
Complete questionThe figure shows the letter Z and four of its transformed images—A, B, C, and D
Which of the four images was formed by a reflection of the letter Z?
A B C D
How to determine the reflection of Z?From the graph, see attachment, we have the following highlights:
The letter Z is in the second quadrant.
Also, B and D are letter Z.
So, they cannot represent the reflection
When reflected across the x-axis, the reflection is C
Hence, the figure that shows the reflection of the letter Z is C
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Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2
Answer:
y=-2/3x-13/3
Step-by-step explanation:
parralel line have the same gradient
y=mx+c is the general straight line equation
m represents the gradient
if the equation is y=-2/3x+3/2
m=-2/3
the coordinates (4,-7)
x=4
y=-7
substitute into equation
-7=-2/3×4+c
-7=-8/3+c
c=-7+8/3
c=-13/3
so the equation is :
y=-2/3x-13/3
sin(90° - x) = sqrt3/2
Which expression is equivalent to \frac{r^9}{r^3}
Answer: [tex]\frac{r^9}{r^3} = r^{9-3} = r^6[/tex]
We subtract the exponents when dividing terms with the same base.
The general rule is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Hii!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
r^6
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
To simplify this we need to use the division property of exponents:
[tex]\large\boxed{\mathtt{\frac{x^m}{x^n} =x^{m-n}}}[/tex]. So if we divide two numbers with the same base, we subtract their exponents.
Let's apply this rule here.
[tex]\twoheadrightarrow\sf r^9\div r^3[/tex].
[tex]\bullet[/tex] Since these two numbers have the same base, we subtract their exponents
[tex]\twoheadrightarrow\sf r^6[/tex]
[tex]\bullet[/tex] Great job! We found the answer
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
Solve for x: √x + 3-4=7
Answer:
x = 64
Step-by-step explanation:
Solve for x: √x + 3-4=7
√x + 3-4=7
= √x + 1 = 7
= √x = 7 + 1
= √x = 8
= (√x)² = 8²
x = 64
what is the vertex of the graph of y = -4x(x + 2)^2 + 5
Answer:
The vertex is the point of coordinates (-2 , 5)
Step-by-step explanation:
we notice that the equation of the parabola is given in vertex form :
y = -4(x + 2)² + 5
then
y = -4(x − (-2))² + 5
Therefore
The vertex of the graph is the point (-2 , 5)
What are the domain and range of the function
Determine the relationship between the two triangles and whether or not they
can be
proven to be congruent.
Answer: These ARE congruent to each other.
Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.
Complete questionJames surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male" and "buys lunch" are not independent because
How to determine the probability?The number of male students is:
Male = 46 + 176
Male = 222
The number of female students is:
Female = 254 + 264
Female = 518
The total student is:
Total = 222 + 518
Total = 740
Next, calculate the probability of selecting a male student
P(Male) = 222/740
P(Male) = 0.3
Of all the 440 that buy lunch, 176 are male,
So, we have:
P(male | buy lunch) = 176 / 440
P(male | buy lunch) = 0.4
Because
P(male | buy lunch) and P(male) are not equal.
Then, the events "male” and "buys lunch” are not independent
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It was reported that uninsured drivers caused 1 in 20 accidents. About 682,494 car crashes were reported. About how many of these drivers were uninsured?
probability of hitting the shaded area
The probability of hitting the shaded area is 0.64
How to determine the probability?The diameters are given as:
D = 10
d = 6
The shaded area is calculated as:
Shaded = π((D/2)² - (d/2)²)
So, we have:
Shaded = π((10/2)² - (6/2)²)
Evaluate the exponents
Shaded = 16π
The area of the big circle is calculated as:
Area = π(D/2)²
So, we have:
Area = π(10/2)²
Evaluate the exponents
Area = 25π
The probability of hitting the shaded area is:
P = 16π/25π
Evaluate
P = 0.64
Hence, the probability of hitting the shaded area is 0.64
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According to the property
below?
√30
OA. 25
OB. -√5
O C. 5
OD. -5
OE. √5
Vo = √ which choice is equivalent to the quotient
4
Answer:
√30/6 = √5
The correct answer would be E
The value of the expression √30/√6 is √5, option E is correct.
What is Number system?A number system is defined as a system of writing to express numbers.
The given property is √a/√b = √(a/b)
Now we have to find the equivalent to the quotient √30/√6
By the given property let us plug in a as 30 and b as 6
√30/√6
= √(30/6)
When we simplify the fraction inside the root we get 5
= √5
Hence, the value of the expression √30/√6 is √5, option E is correct.
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The surface area of the triangular prism is
.
Answer:
576 m
__________________________________________________________ The surface area of the triangular prism is (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
For this question,
you know that the perimeter of the base is 6+10+8 which is 24.
and the length of the prism is 22,
so (22x24) + Base Area which is (6x8)/2-> 24x2
(22x24)+(24x2)= 528 + 48 = 576
so your answer is 576
__________________________________________________________
Hope this helped!
two negative integers have the sum of -12 and the product of 11 what are the integers
Answer:
-1 and -11
Step-by-step explanation:
"sum" means we're adding.
-1 + -11 = - 12
"product" means we're multiplying.
-1 × -11 = 11
what is the gradient if y=-x+3
Answer:
Slope = - 1
Step-by-step explanation:
The equation is in form [tex]y=mx+c[/tex], [tex]m[/tex] s the slope and [tex]c[/tex] is the intercept on [tex]y[/tex] axis.
Hence, in [tex]y=-x+3[/tex] , slope is -1 and intercept on [tex]y[/tex] axis is 3.
A line segment has endpoints Q(-16, -12) and R(21, -8).
What is the midpoint of the line segment?
02¹-201
Answer:
(2.5, - 10 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then
midpoint = ( [tex]\frac{-16+21}{2}[/tex] , [tex]\frac{-12-8}{2}[/tex] ) = ( [tex]\frac{5}{2}[/tex], [tex]\frac{-20}{2}[/tex] ) = (2.5, - 10 )
Answer: c - (2 1/2 - 10)
Step-by-step explanation:
Hi! Hope you're having a good day. So, there's a problem I had gotten wrong while I was preparing for the ACT, however, I didn't know how to answer the question to begin with. Can someone give me a step-by-step explanation on how this problem is solved correctly? (Picture included). Inside of the picture I included the answer I chose and the correct answer, could you also explain what I had done wrong? I used the FOIL method, but now I think that was incorrect to begin with. I also reattempted to do what I had done before, but each time I get a different answer, if you can help that'd be fantastic! :)
Answer:
[tex]3a^2+12a+12[/tex]
Step-by-step explanation:
first, you have to plug in x = a+2 into the function, which would look like:
[tex]f(a+2) =3(a+2)^2[/tex]
then, you can first simplify [tex](a+2)^2[/tex]. to do this, use the rule [tex](a+b)^2 = a^2 +2ab + b^2[/tex], so it would be [tex]a^2+(2*a*2)+2^2 = a^2 + 4a + 4[/tex]
this means your new equation is:
[tex]3(a^2+4a+4)[/tex]
you can then distribute the 3:
[tex]3*a^2+3*4a + 3*4 = 3a^2+12a+12[/tex]
let me know if there's anything you want me to clarify!
If you can help with this I would be thankful
The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),
then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
The function is given as
[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]
The inverse of the function will be
[tex]f(x) ^{-1}= 2x - 12\\[/tex]
Therefore, option C is correct.
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Simplify the following expression 7a + 5b - 2a + b
Answer:
5a + 6bStep-by-step explanation:
Simplify the following expression:
Simplify the following expression:
7a + 5b - 2a + b =
5a + 6b
Solve -5<4x+3<_<7
Not really sure how to solve, line under greater than sign
The solution to the complex inequality as in the task content is; -2 < x <= 1.
What is the solution of the inequality?The inequality in discuss is; -5<4x+3 <= 7.
Hence, solving the inequalities separately; we have;
-5 < 4x +3
-8 < 4x
-2 < x
Also; 4x+3 <= 7
4x <= 4
x <= 1.
Ultimately, the solution to the inequalities is;
-2 < x <= 1.
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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Answer:
A = 27π cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
the central angle of the shaded sector = 360° - 90° = 270° , then
A = πr² × [tex]\frac{270}{360}[/tex]
= π × 6² × [tex]\frac{3}{4}[/tex]
= 36π × [tex]\frac{3}{4}[/tex]
= 9π × 3
= 27π cm²
Solve for X
picture below
Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land. Which of the following represents the number of peanuts (x) he could plant on 8,500 square metres of land? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000 Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land . Which of the following represents the number of peanuts ( x ) he could plant on 8,500 square metres of land ? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000
The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg
What is unitary method?"It is a method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A farmer can plant 45 kg of peanuts on 4,000 square meters of land.
Using unitary method,
[tex]\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89[/tex]
This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.
We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.
Here, 1 kg = 88.89 square meters
x kg = 8500 square meters
[tex]\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg[/tex]
Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg
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Identify the domain of the given function.
Answer:
choice C
Step-by-step explanation:
x could be any number except -1.
Cause for x=-1 the denominator becomes undefined.
Identify the causes of immigration and emigration?
A person can immigrate to another country for educational purposes.
A person can emigrate to another country for work.
A person can emigrate to another country due to war in their own country.
What is emigration and migration?
Migration is when a person moves from one geographical location or another. Immigration and emigration are types of migration.
Immigration is when a person moves to a foreign country. For example, when a US citizen moved to Italy for work. Emigration is when a person lives his home country.
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the lines shown are parrallel. if the green line has a slope of 5, what is the slope of the red line
Answer:
if a line is parallel they have the same slope
so the slope is 5
Hope This Helps!!!
which equation represents the line through (4,5) and (0,-3)
A. y = 2x + 3
B. y = 2x - 3
C. y = -2x - 3
D. y = -2x + 3
The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:
B. y = 2x - 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.
The slope is given by the change in y divided by the change in x, hence:
m = (5 - (-3))/(4 - 0) = 2
Hence the equation is:
y = 2x - 3.
Which means that option B is correct.
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(5+4) +10=5+(4+10)
A. True
B. False
Answer:
A. True
Step-by-step explanation:
One of the ways to check this is solving each side of the equation.
(5+4)+10=5+(4+10)
Remember PEMDAS.
Parenthesis first.
(9)+10=5+(14)
Now, you can drop the parenthesis and add the numbers together.
9+10=19
5+14=19
19=19
This is a true statement.
Hope this helps!
If not, I am sorry.
what does X equal to in this equation
Answer:
17
Step-by-step explanation:
5x+5x+10=180
10x=170
x=17
Answer:
Answer is 17
Step-by-step explanation:
It is done in this step
5x +5x+10=180
10x=170
x=17
