Answer:
(b) 27°
(c) 34°
( ) 27°
Step-by-step explanation:
Angle relations involving lines, parallel lines, and triangles come into play here.
angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent(b)The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.
(180° -6x) +90° +(180° -4x) = 180°
270° = 10x . . . . . . . . . add 10x and simplify
27° = x
(c)The vertical angles at S are congruent. This tells us ...
3x +∠PSQ = 4x
∠PSQ = x
The sum of angles in triangle PSQ is 180°, so we have ...
x +x +(180° -68°) = 180°
2x = 68° . . . . . . . . add 60°-180°
x = 34° . . . . . . . . . divide by 2
( )Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.
2x +2x +72° = 180°
4x = 108° . . . . . . subtract 72°
x = 27° . . . . . . . . divide by 4
Each of 150 volunteers was assigned at random to one of five rooms where they were asked to taste and rate a glass of wine. In one of the rooms, no music was playing and a different style of music was playing in each of the other four rooms. The researchers concluded that cabernet sauvignon is perceived as being richer and more robust when bold music is played than when no music is heard.
Required:
a. Is the study described an observational study or an experiment?
b. Can a case be made for the researcher's conclusion that the music played was the cause for the higher rating? Explain.
Answer:
a. Experiment
b. yes
Step-by-step explanation:
The study being conducted in this scenario is an experiment because different groups are being created and both an independant variable and dependant variable are being introduced. This means that there is researcher involvement and therefore makes this an experiment and not an observational study.
Yes, a case can be made for such a claim. This is because the music being played is the dependent variable in each of the groups. Meaning that the only difference in each of the groups was the music. Therefore, any differences in the data gathered can be connected to the music.
reduce a)95/75 b) 250/750 to its simplest form
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
Can someone help me :)
Answer:
51
b+129=180
b+95+34=180
Step-by-step explanation:
hope this helped :)
Write the product (x-7)^2 in standard form
Answer:
x^2-14x+49
formula:
a^2-2ab+b^2
if
(a-b)^2
substitute values and
Wham bam yes ma'm
729 ÷ 0.9
Do the solution
If its right i will make
You the brainliest
Answer:
Here's your ans
hope it helps you
Decide if the following is a true or false statement - explain how you know
(-3.2) + (-2.8) is positive
Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?
WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES
Answer:
life
Step-by-step explanation:
hi
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
cm
Answer:
75.27
Step-by-step explanation:
Rectangle = 20+2+2+20-11=47
quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27
47+28.27=75.27
Answer:
75.27.cm
Step-by-step explanation:
it works i got a 100 on the test
Which of the following is the expansion of
(2x + 3)^3?
I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry
Answer:
8x^3 + 36x^3 + 54x + 27
Step-by-step explanation:
If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27
BRAINLIEST AND STARS
4)
Suppose a circle has a diameter of 20 inches. What is its radius?
A)
400 in
B)
40 in
C)
20 in
D)
10 in
Answer:
D
Step-by-step explanation:
What is 13x+14=???????
Answer:
x= -1.077
Step-by-step explanation:
(13x+14) -14=0(-14)
13x/(13)= -14/(13)
x= -1.077
NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do
Answer:
∠W=110
∠X=110
∠Y=70
∠Z=70
Step-by-step explanation:
∠X+∠Y=180 (supplementary angles)
(13x-7)+(8x-2)=180
21x=189
x=9
∠X = 13x-7 = 13(9)-7 = 117-7 = 110
∠Y = 8x-2 = 8(9)-2 = 72-2 = 70
Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X
Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?
Answer:
1/14 i think
Step-by-step explanation:
Help me please please dont answer if you don’t know i will also give brainliest
Answer:
$100.75
Step-by-step explanation:
422.05 - 106.30 - 310.00 + 95.00 = 100.75
HELP THIS IS DUE TODAY
Answer:
slope=0
Step-by-step explanation:
Conceptually, y never changes, which means the line is a straight horizontal line.
Mathematically, slope is the change in y over the change in x. For example, if we use the first 2 points:
[tex]\frac{2-2}{1-3} =\frac{0}{-2} =0[/tex]
Because 0 divided by anything is still 0.
Use the distributive property to multiply. Simplify your Answer.[tex](3y + 5)(3y^{2} +2y-6)[/tex]
A rectangular gate has a width of 3 feet and a length of 4 feet. What is the
length from the top left corner to the bottom right corner of the gate? *
Will mark brainliest! Answer quickly please.
Given the equation 3x + y = 14, determine the slope of the line
Answer:
-3 is the slope of the line.
Step-by-step explanation:
You have to rearrange the equation to slope intercept form, y=mx+b.
3x+y=14
-3x -3x
y=-3x+14
Answer:
3x + y = 14
Step-by-step explanation:
rewrite in y = mx + b format
i.e y = 3x - 14
where m = slope
therefore m=3
7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3
Answer:16
Step-by-step explanation:
[tex]( {a}^{3})( {a}^{2} ( {a}^{6) }
answer:(a¹¹)
Ce clasă ești sa văd daca te pot ajuta
i wi mark you brainless and give point of this gets completed
Answer:
1. (x + 5)(x +10)
2. (x - 7)( x - 8)
3. (x - 4)( x - 7)
4. 2(7x−1)(x−9)
5. (2x+9)(x+6)
6. (x−1)(x−2)
7. (2x+3)(x+8)
8. (9x−2)(x−7)
9. 6(x−6)(x+7)
10. (9x+10)(x−4)
11. (3x+7)(x+3)
12. (x−9)(x−9)
13. 4(9x−10)(x−8)
14. 3(x+3)(x−9)
15. 2(x−1)(x+3)
16. 2(3x−1)(x+2)
17. 5(x−2)(x−2)
18. 2(x−1)(x−2)
Step-by-step explanation:
I'm so sorry it took this long that made my brain hurt it was worth it
Sorry it took so long..
hope I helped!!
a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?
Answer:
Anosh has 35 feathers.
Step-by-step explanation:
Initially, he had 0 feathers.
His father started his collection by giving him 7 feathers.
After his father gave him, he has 7 feathers.
Since then he has collected 28 more feathers. How many feathers does Anosh have?
So now, he has 7 + 28 = 35 feathers.
Anosh has 35 feathers.
The mid point of ST is M=(-2,3). One end point is S=(4,-2). Find the coordinates of the other endpoint. T
Answer:
S=(6,5)?......not sure tho
Which equation represents the vertical line passing through (5,-4)?
x = -4
y = -4
x = 5
y = 5
pick one
Answer:
Y = -4
Step-by-step explanation:
Given:
Points (5, -4)
Computation:
We know that vertical line means Y axis
On Y axis x always zero
So,
Y = -4
A university freshman class has 5600 students 48% of those stundents are majoring in economics how many students in the freshman class are economics majors
The total number of students in the freshman class is 2688 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of students in the freshman class be = A
Now , the equation will be
The total number of students in the university = 5600 students
The percentage of students in the freshman class = 48 %
So ,
The total number of students in the freshman class = percentage of students in the freshman class x total number of students in the university
Substituting the values in the equation , we get
The total number of students in the freshman class = ( 48/100 ) x 5600
The total number of students in the freshman class = 0.48 x 5600
The total number of students in the freshman class = 2688 students
Therefore , the value of A is 2688 students
Hence ,
The total number of students in the freshman class is 2688 students
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please tell fast plzzzzzz
Answer:
45
Step-by-step explanation:
1/2×90
45
complement=
90-45
45
-2 (x + 5) = 4 formula to find X
Answer:
-2x -10=4
-2×=4+10
-2×=14
×=14/-2
therefore,×= -7
Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?
Probability that Margaret will get a higher number than Carlos is 3/2.
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula of probabilityP(E) = number of favorable outcomes/ total number of outcomes
Where, P(E) is the probability of an event.
According to the question we have,
A spinner goes from 1 to 6.
⇒ sample space = {1, 2, 3, 4, 5, 6}
⇒ Total number of outcomes = 6
Also, Carlos spins 3.
So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).
⇒ Total number of favorable outcomes = 3
Therefore,
The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]
Learn more about probability here:
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6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long
Answer:
Yes, because the regression equation is based on the random sample.
Step-by-step explanation:
A simple linear regression model that describes the relationship between X and Y takes the form
Yi= ∝ + βXi + εi or
Y i= U(y.x) + εi
where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) , as the only random element in the is εi.
The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi
. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.