since its complementary, the sum if both angles equals 90 degrees.
you do x+x+10 so you combine like terms to get 2x+10=90
then you subtract 10 to get
2x=80
and divide by 2
x=40
angle a=50 degrees
angle b=40 degrees
Answer:
m < A = 50 degrees, m < B = 40 degrees.
Step-by-step explanation:
Complementary angles sum to 90 degrees, so:
A + B = 90
As A = B + 10:
B + 10 + B = 90
2B = 80
B = 40.
So A = 40 + 10 = 50.
A experiment is a study designed so that neither the subjects nor the
experimenters know which subjects are in the treatment group and which
ones are in the control group.
O
A. placebo-effect
O
B. control
O
C. double-blind
O
D. biased
Answer:
C. double-blindStep-by-step explanation:
A double-blind study is a study where neither participants nor experimenters know which subjects are receiving the treatment.
This method is really useful to minimize possible biased conclusions about the experiment.
Therefore, the right answer is C, the situation described refers to a double-blind study.
A double-blind study is an experimental design in which both the subjects and experimenters are unaware of the treatment or control group assignments, thereby reducing bias and increasing the reliability of the study's findings.Therefore, the correct answer is option C.
An experiment where neither the subjects nor the experimenters know which subjects are in the treatment or control group is best described as a double-blind study.
This type of research design is crucial to prevent biases from affecting the outcome of clinical trials or other medical studies. In a double-blind study, both the participants and researchers are 'blind' to the assignments, thereby reducing the risk of placebo effects or experimenter bias influencing the results.
Experiments in the field of medicine often use this design to test the efficacy of new drugs, treatments, or interventions in the most unbiased way possible.
A control group that receives a placebo is essential in these experiments to compare the actual efficacy of the experimental treatment against no treatment or a standard treatment.
(دل) +
(2/5x+5/8)+(1/5+-1/4)
Answer:
[2x + 1\5] + ⅜
Step-by-step explanation:
Simply combine like-terms, then evaluate.
What is the sine ratio for
Remember:
SOH-CAH-TOA
(Sine = [tex]\frac{opposite}{hypotenuse}[/tex] - Cos = [tex]\frac{adjacent}{hypotenuse}[/tex] - tan = [tex]\frac{opposite}{adjacent}[/tex])
For angle H the sin ratio is...
side FG (5) is opposite angle H
side HF (13) is the hypotenuse
so...
sinH = [tex]\frac{5}{13}[/tex]
For angle F the sin ratio is...
side HG (12) is opposite angle F
side HF (13) is the hypotenuse
so...
sinF = [tex]\frac{12}{13}[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the slope of the line y+2=-2(x-3)
Answer:
m = -2
Step-by-step explanation:
This equation is in point-slope form
The numbers added or subtracted by a variable are a coordinate point.
y + 2 --> (0,-2)
x - 3 --> (3,0)
(3,-2)
The slope is represented by the number outside of the parentheses.
Therefore, the slope of the line is -2
Answer:
-2
Step-by-step explanation:
This equation is written in point slope form
y-y1 = m(x-x1)
where (x1,y1) is a point on the line and m is the slope
y- -2 = -2(x -3)
A point on the line is (-3, -2) and the slope is -2
Find an equation for the line that passes through the point (-3,7) and is perpendicular to 3x-5y=80. Give your answer in point-slope form. Show as much work as possible to support your answer.
Answer:
y-7=-(5/3)(x+3)
Step-by-step explanation:
step 1
Find the slope of the line that is perpendicular to 3x-5y=80
we have
3x-5y=80
5y=3x-80
y=(3/5)x-16
The slope of the given line is m1=3/5
Remember that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
m1*m2=-1
Find m2
(3/5)*m2=-1
m2=-5/3
step 2
Find the equation of the line into point slope form
y-y1=m(x-x1)
we have
m=-5/3
point (-3,7)
substitute
y-7=-(5/3)(x+3) ----> equation of the line into point slope form
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.
Find the coordinates of midpoint D.
Answer:
Midpoint D (-a-b , c)
Third option
Step-by-step explanation:
Midpoint D
x = 1/2 (-2a - 2b) = -a - b
y = 1/2 (2c) = c
Midpoint D (-a-b , c)
Answer: (-a-b, c)
Step-by-step explanation:
We know that the mid point of a line having endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :-
[tex]x=\dfrac{x_1+x_2}{2}\ , \ y=\dfrac{y_1+y_2}{2}[/tex]
In the given figure it can be seen that D is the midpoint of RT :
Since R(-2b , 2c) and T(-2a, 0)
Then , the midpoint D of a line having endpoints [tex](-2b,2c)[/tex] and [tex](-2a,0)[/tex] is given by :-
[tex]x=\dfrac{-2b+(-2a)}{2}=\dfrac{2(-a-b)}{2}=-a-b\ , \ y=\dfrac{2c+0}{2}=c[/tex]
Hence , the coordinates of midpoint D = (-a-b, c)
WILL GIVE YOU BRAINLIEST if you answer correctly!!
which expression is equivalent to sqrt 128 x^8 y^3 z^9? assume y> 0 and z > 0
Answer:
Option (C): 8x^4yz^4√2yz
Step-by-step explanation:
Math. Give me Brainliest please?
Volume of Model Options: +,×,÷,-
Option for Volume of Green Model In Model 2: 3, 12, 16, 60
Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?
A) constant
B) symmetric
C) positively skewed
D) negatively skewed
Answer:
B) symmetric
Step-by-step explanation:
We will find the sample space for rolling two dices first
Here first value in ordered pair represents yellow die and second represents blue die
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
The subtraction gives us:
0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0
So the distribution will be as follows:
X 5 4 3 2 1 0 -1 -2 -3 -4 -5
P(X) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
By observing the probabilities, we can conclude that the distribution will be symmetric
Hence, Option B is correct ..
Answer:
its B symmetric
Step-by-step explanation:
got it right on ed
Sanjay solved the equation below. Which property did he use to determine that 7x+42=42 is equivalent to
7(x+6)=42
7x+42=42
7x=0
x=0
Step-by-step explanation:
7(x + 6) = 42
distributive property: a(b + c) = ab + ac
(7)(x) + (7)(6) = 42
7x + 42 = 42
subtraction property of equality (subtract 42 from both sides)
7x + 42 - 42 = 42 - 42
7x = 0
division property of equality (divide both sides by 7)
7x : 7 = 0 : 7
x = 0
Answer:
1. Distributive property: a(b + c) = a.b + a.c
2. Property of subtraction of equality
3. Property of division of equality
Step-by-step explanation:
The given equation is 7x + 42 = 42
7(x+6)=42 [Distributive property: a(b + c) = a.b + a.c]
7x+42=42 [Property of subtraction of equality]
Subtract 42 from both sides.
7x + 42 - 42 = 42 - 42
7x=0
Property of division of equality
Divide both sides by 7.
x=0
What is the answer for this
Answer: [tex]y=\frac{1}{30}x+1[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
You need to find slope of the line with the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:
[tex]m=\frac{2-3}{30-60}=\frac{1}{30}[/tex]
You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:
[tex]b=1[/tex]
Substituting the slope and the y-intercept found into [tex]y=mx+b[/tex], you get the equation of this line:
[tex]y=\frac{1}{30}x+1[/tex]
Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.
What is the quotient of 4536 and 36?
Answer:
126.
Step-by-step explanation:
Using long division:
1 2 6
---------
36 ) 4536
36
---
93
72
---
216
216
----
Answer:
126
Step-by-step explanation:
you divide 4536 and 36 and you get 126 as your quotient
y = x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4
Answer:
(- 4, - 10 )
Step-by-step explanation:
Given the 2 equations
y = x - 6 → (1)
x = - 4 → (2)
Substitute x = - 4 into (1) for corresponding value of y
y = - 4 - 6 = - 10
Solution is (- 4, - 10 )
Answer:
the answer is b (-4,-8)
Step-by-step explanation:
i got it right top one is wrong
What is the true solution to 3ln2+ln8=2ln(4x)? a.x=1 b.x=2 c.x=4 d.x=8
Answer:
x = 2
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log [tex]x^{n}[/tex] ⇔ n log x
• log x = log y ⇔ x = y
Given
3ln2 + ln8 = 2ln(4x)
ln 2³ + ln8 = ln(4x)²
ln8 + ln8 = ln 16x²
ln(8 × 8) = ln 16x²
ln 64 = 16x², hence
16x² = 64 ( divide both sides by 16 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Solve sin θ +1 = cos2 θ on the interval 0 less than or equal to θ less than 2pi
Answer:
The solution of the equation is Ф = 0 or Ф = 3π/2
Step-by-step explanation:
* Lets revise some facts in trigonometry
- The identity sin² Ф + cos² Ф = 1
- By subtracting sin² Ф from both sides then cos² Ф = sin² Ф - 1
- In the rectangular plane the point (x , y) represents (cos Ф , sin Ф)
where x = cox Ф and y = sin Ф
- The point (1 , 0) lies on the positive part of x-axis means cos Ф = 1
and sin Ф = 0, then Ф = 0 or 2π
- The point (-1 , 0) lies on the negative part of x-axis means cos Ф = -1
and sin Ф = 0, then Ф = π
- The point (0 , 1) lies on the positive part of y-axis means cos Ф = 0
and sin Ф = 1, then Ф = π/2
- The point (0 , -1) lies on the negative part of y-axis means cos Ф = 0
and sin Ф = -1, then Ф = 3π/2
* Lets solve the problem
∵ sin Ф + 1 = cos² Ф
- To solve we must change cos² Ф to sin² Ф
∵ cos² Ф = sin² Ф - 1
- substitute cos² Ф in the equation by 1 - sin² Ф
∴ sin Ф + 1 = 1 - sin² Ф ⇒ add sin² Ф to both sides
∴ sin² Ф + sin Ф + 1 = 1 ⇒ subtract 1 from both sides
∴ sin² Ф + sin Ф = 0
- Take sin Ф as a common factor from both terms
∴ sin Ф (sin Ф + 1) = 0
- Equate each factor by 0
∴ sin Ф = 0 OR sin Ф + 1 = 0
- Remember 0 ≤ Ф < π
∵ sin Ф = 0 ⇒ from the information above
∴ Ф = 0
∵ sin Ф + 1 = 0 ⇒ subtract 1 from both sides
∴ sin Ф = -1
- From the information above
∴ Ф = 3π/2
* The solution of the equation is Ф = 0 or Ф = 3π/2
y = 2x – 7
y = x – 7
Answer:
[tex]x=0[/tex]
[tex]y=-7[/tex]
Step-by-step explanation:
Let's use elimination.
We can multiply the second equation by -2 so that we can eliminate one variable from the system of equations.
[tex]-2(y=x-7)[/tex]
[tex]-2y=-2x+14[/tex]
Now we can use elimination and subtract.
[tex]y=2x-7[/tex]
[tex]-2y=-2x+14[/tex]
[tex]-y=7[/tex]
[tex]y=-7[/tex]
Now we can plug in the value of y into the first equation.
[tex]-7=2x-7[/tex]
[tex]2x=0[/tex]
[tex]x=0[/tex]
We can plug these values to check.
[tex]-7=0-7[/tex]
[tex]-7=0-7[/tex]
A line of fit might be defined as
Question 1 options:
a)
a vertical line halfway through the data.
b)
a line that might best estimate the data and be used for predicting values.
c)
a line that connects all the data points.
d)
a line that has a slope greater than 1.
Answer:
a line that might best estimate the data and be used for predicting values.
Choice B is correct
Step-by-step explanation:
A line of fit might be defined as;
a line that might best estimate the data and be used for predicting values.
This line connects most of the data points thus minimizing the squared residuals of the regression.
I hope this helps...
Answer:
A line of fit might be defined as:
b) a line that might best estimate the data and be used for predicting values.
Step-by-step explanation:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
Line of best fit is actually a good approximation of data and is used to predict values on the graph.
Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x2 – 3x – 20x + 4. Her work is shown below. (15x2 – 3x) + (–20x + 4) 3x(5x – 1) + 4(–5x + 1) Talia noticed that she does not have a common factor. What should she do?
Answer:
Factor out a -1 from one of the terms so they are the same
Step-by-step explanation:
15x^2 – 3x – 20x + 4
(15x2 – 3x) + (–20x + 4)
3x(5x – 1) + 4(–5x + 1)
Talia should notice that the terms in the parentheses are opposites of each other and factor out a -1 out of the second term
3x(5x-1) +4 (-1) (5x-1)
Now the terms have a common factor
(5x-1) (3x+(-1)4)
(5x-1) (3x-4)
Answer:
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Step-by-step explanation:
[tex]15x^2 - 3x - 20x + 4[/tex]
Group first two terms and last two terms to factor it
[tex](15x^2 - 3x)+(- 20x + 4)[/tex]
Now we factor out GCF
GCF of 15x^2-3x is 3x
GCF of -20x+4 is -4 because first term should be positive
[tex](15x^2 - 3x)+(- 20x + 4)[/tex]
[tex]3x(5x- 1)-4(5x-1)[/tex]
Talia needs to factor out negative so that the binomials will be same (5x-1)
what number should be added to both sides of the equation to complete this square? x^2-10x=7
Answer:
The number is 25
Step-by-step explanation:
we have
[tex]x^{2} -10x=7[/tex]
we know that
[tex]10/2=5[/tex]
so
Adds [tex]5^{2}[/tex] both sides
[tex]x^{2} -10x+5^{2}=7+5^{2}[/tex]
[tex]x^{2} -10x+25=7+25[/tex]
[tex]x^{2} -10x+25=32[/tex]
Rewrite as perfect squares
[tex](x-5)^{2}=32[/tex]
Use the function below to find F(5).
F(x) = 2^x
f(x) = 2^x
f(5) = 2^5
f(5) = 32
julie has $80 in her savings account and plans to save $x each month for 8 months.The expression $8x+$80 represents the total amount in the account after 8 months.Factor this expression
Answer:
[tex]8(x+10)[/tex]
Step-by-step explanation:
we have the expression
[tex](8x+80)[/tex]
we know that
[tex](8x+80)=(8x+8(10))[/tex]
Factor the number 8
[tex](8x+8(10))=8(x+10)[/tex]
therefore
The expression factored is [tex]8(x+10)[/tex]
The factorization of the given expression is given as:
[tex]8(x+10)[/tex]
Step-by-step explanation:To factor a algebraic equation means to represent it as the multiplication of the simple expressions.
( i.e. if the expression has a common multiple in each of the terms then we take it out and represent the rest of the expression in brackets.
Also, we can express a algebraic equation by the multiplication of the factors of the expression )
We are given a expression as:
[tex]8x+80[/tex] which represents the total amount in the account after 8 months.
and x represents the amount saved each month.
Since both the terms i.e. 8x and 80 have a common multiple as: 8
Hence, we take it out of the expression and write the resulting expression as follows:
[tex]8x+80=8(x+10)[/tex]
Which mathematical statements are true?
1) If 3 is an odd number, then 3 times 3 is an even number.
2) If 6 is less than 7, then 4 is greater than 7.
3) Six is divisible by 3, and 10 is a multiple of 2.
4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.
5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
6) If an equilateral triangle has equal angles, then all its angles will measure 45°.
Answer:
1) If 3 is an odd number, then 3 times 3 is an even number.
False because multiplying odd number by an odd number also gives an odd number.
2) If 6 is less than 7, then 4 is greater than 7.
False because 4 is smaller than 6. As 6 is smaller than 7 then 4 must also be smaller.
3) Six is divisible by 3, and 10 is a multiple of 2.
True. 6/3 = 2 and 2 x 5 = 10. Both the conditions are true so it is also true.
4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.
True.
We have two conditions in this statement and an 'or' between them. One of the conditions is true that is "average is less than the largest value in the data". So the statement as a whole is true.
5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
True.
6) If an equilateral triangle has equal angles, then all its angles will measure 45°.
False.
A triangle has 3 angles whose sum = 180 degrees.
For equilateral triangle each angle will measure 180/3= 60 degrees.
Answer: 2 following statements are true
The first true statement:
Six is divisible by 3, and 10 is a multiple of 2.
We know this because 6 is divisible by 3, and again proven by when we divide 10 by 5 we get 2, so 10 is a multiple of 2.
The second true statement:
The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
Step-by-step explanation:
Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. |8x-4| ≤ 12
[tex]|8x-4|\leq12\\4|2x-1|\leq12\\|2x-1|\leq3\\2x-1\leq3 \wedge 2x-1\geq-3\\2x\leq 4 \wedge 2x\geq-2\\x\leq 2 \wedge x\geq-1\\x\in \langle -1,2\rangle[/tex]
The solution set of the inequality |8x-4| ≤ 12 is [-1, 2]. The solution was found by breaking down the absolute value into two separate inequalities and solving them.
Explanation:To solve the inequality |8x-4| ≤ 12, we use the property that |a| ≤ b is equivalent to -b ≤ a ≤ b. So, the inequality can be rewritten as -12 ≤ 8x-4 ≤ 12. We then solve these two inequalities separately.
For -12 ≤ 8x-4, first add 4 to both sides to get -8 ≤ 8x, then divide by 8 on both sides to get x ≥ -1.
For 8x-4 ≤ 12, add 4 to both sides to get 8x ≤ 16, and then divide by 8 on both sides to get x ≤ 2.
Since x has to satisfy both these inequalities, the solution set is x ≥ -1 and x ≤ 2. In interval notation, this is represented as [-1, 2].
Learn more about Inequality Solution here:https://brainly.com/question/32183072
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Find the vertex of the parabol whose equatio is y =3x^2+6x+1
Answer:
(-1,-2)
Step-by-step explanation:
y=ax^2+bx+c
Find -b/(2a) and you will have found the x-coordinate of the vertex of this parabola.
You can find the y-coordinate that corresponds to it by plugging in your into the original equation.
-b/(2a)=-6/(2*3)=-6/6=-1
Now replace x with -1
3(-1)^2+6(-1)+1
3-6+1
-3+1
-2
So the vertex is (-1,-2)
If you run for 4 hours at 8 miles an hour and walk 8 hours at 2 miles an hour, how far will you have gone at the end
of 12 hours?
Make a Selection:
A. 48 miles
B. 50 miles
C. 32 miles
D. 60 miles
Answer:
4 hours at 8 miles an hour: 8(4) = 32 miles in total
8 hours at 2 miles an hour: 2(8) = 16 miles in total
Miles in total: 32 + 16 = 48
The answer is A. 48 miles
Answer: 48
Step-by-step explanation:
8 (MPH) x 4 (H) = 32 miles covered in 8 hours.
2(MPH) x 8 (H) = 16 miles covered in 8 hours.
32 + 16 = 48 MPH
n triangle ABC, m∠A = 35° and m∠B = 40°, and a=9. Which equation should you solve to find b?
Answer:
[tex]\frac{sin B}{b} = \frac{sin A}{a}[/tex] should be used to find b.
Step-by-step explanation:
We are given that in a triangle ABC, ∠A = 35°, ∠B = 40° and side a = 9 and we are to find the side length b.
Now using sine rule to find b:
[tex]\frac{sin B}{b} = \frac{sin A}{a}[/tex]
[tex]\frac{sin 40}{b} = \frac{sin 35}{9}[/tex]
[tex]b=\frac{sin 40 \times 9}{sin 35}[/tex]
b = 10.1
Answer:
The equation is 9/sin(35) = b/sin(40) , The length of b = 10.086
Step-by-step explanation:
* Lets explain how to solve the triangle
- In ΔABC
- a, b, c are the lengths of its 3 sides, where
# a is opposite to angle A
# b is opposite to angle B
# c is opposite to angle C
- m∠A = 35°
- m∠B = 40°
- a = 9 ⇒ the side opposite to angle A
* To solve the triangle we can use the sin Rule
- In any triangle the ratio between the length of each side
to the measure of each opposite angle are equal
- a/sinA = b/sinB = c/sinC
∴ The equation which used to find b is a/sinA = b/sinB
∵ a = 9 , m∠A = 35° , m∠B = 40°
∴ 9/sin(35) = b/sin(40) ⇒ by using cross multiplication
∴ b = 9 × sin(40) ÷ sin(35) = 10.086
* The length of b = 10.086
The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?
Answer:
The wide of river is [tex]50\ ft[/tex]
Step-by-step explanation:
In this problem we know that
Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence
therefore
EG=EF
[tex]EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft[/tex]
What is the discriminant of 9х2 + 2 = 10x?
[tex]\bf 9x^2+2=10x\implies 9x^2-10x+2=0 \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}x^2\stackrel{\stackrel{b}{\downarrow }}{-10}x\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}~~\checkmark\\ negative&\textit{no solution} \end{cases} \\\\\\ (-10)^2-4(9)(2)\implies 100-72\implies 28[/tex]
Definition:
es. This is a disadvantage or weak point that makes someone or something less effective.
Answer:
Limitation
Step-by-step explanation:
What is the approximate area of the circle shown below? 17.5 in
A.962 m2
B.55 m2
C. 110 m2
D. 3848 m2
Answer:
No, the answer is actually a) 962
Step-by-step explanation: