Answers
Your answer is that all angles are equal to 66.
Angle 3 and angle 7 are equal, which we know because corresponding angles are equal (angles that make an ‘F’ shape).
This means we can form an equation because we know what angle 3 and angle 7 are:
2x + 40 = 3x + 27
- 2x
40 = x + 27
- 27
13 = x
Therefore angle 7 is 3(13) + 27 = 66, and so is angle 3.
We also know that angle 5 is equal to 66, because it is vertically opposite to angle 7 and vertically opposite angles are equal.
I hope this helps!
Related Questions
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
Answers
Answer:
88 25/27
Step-by-step explanation:
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
PEMDAS
Parentheses first
(7)^2 (7)^2÷(3)^3
Then exponents
49*49 ÷27
Then multiply and divide from left to right
2401÷27
2401/27
88 25/27
88.92592593
Answer:
Step-by-step explanation:
(7)^2(7)^2 / (3)^3
49*49 / 27
2401/27
88 25/27
Points X( -6, -4), Y( -2, -8), Z( 2,-4) are the vertices of a right triangle. What is the area of XYZ? Round to the nearest tenth.
Answers
Answer:
16
Step-by-step explanation:
distance between point x and z is 8 units
distance between point z and y is 4 units
8 * 4 = 32
formula for area of a triangle (l * w)/2
plugin: (8 * 4)/2 = 16
Solve: 3(x - 6) = -12
Answers
Answer:
x=2
Step-by-step explanation:
3*2=6
6-6=0
-12
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)
Answers
Answer:
32
Step-by-step explanation:
you just have to divide 131/4 to get 32.75 but they all have to be equal
Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.
Thus, the number of biscuits she should give to each of her poodles is,
Number of biscuits each poodle gets
= Number of biscuits / Number of poodles
= 131 / 4
= 32.75
Hence, the number of biscuits that each of the four poodles will get is 32.75.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ5
if d=2 what is the value of
Answers
Answer:C
Step-by-step explanation:
8/(4-d) d=2
8/(4-2)
8/2=4
400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa
Answers
Answer:
The final volume is 320 mL at pressure of 100 kPa.
Step-by-step explanation:
Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,
[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]
Let
[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]
We need to find [tex]V_2[/tex]. Using above equation, we get :
[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]
So, the final volume is 320 mL at pressure of 100 kPa.
If r+s/r =3 and t+r/t =5, what is the value of s/t ?
Answers
Answer:15
Step-by-step explanation:1) 1/2
2) 3/5
3)4
D) 8
5) 16
plz branliest
Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?
Answers
Answer:
6
Step-by-step explanation:
The greatest common factor of 36, 42, and 54 is 6:
36 = 6·6
42 = 6·7
54 = 6·9
Jacqueline's bouquets will have 6 tulips, 7 carnations, and 9 daffodils in each one. There will be 6 bouquets.
(10 points) Consider the initial value problem y′+3y=9t,y(0)=7. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) Solve your equation for Y(s). Y(s)=L{y(t)}=
Answers
Answer:
The solution
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]
Step-by-step explanation:
Explanation:-
Consider the initial value problem y′+3 y=9 t,y(0)=7
Step(i):-
Given differential problem
y′+3 y=9 t
Take the Laplace transform of both sides of the differential equation
L( y′+3 y) = L(9 t)
Using Formula Transform of derivatives
L(y¹(t)) = s y⁻(s)-y(0)
By using Laplace transform formula
[tex]L(t) = \frac{1}{S^{2} }[/tex]
Step(ii):-
Given
L( y′(t)) + 3 L (y(t)) = 9 L( t)
[tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
[tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
Taking common y⁻(s) and simplification, we get
[tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
Step(iii):-
By using partial fractions , we get
[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]
[tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]
On simplification we get
9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Put s =0 in equation(i)
9 = B(0+3)
B = 9/3 = 3
Put s = -3 in equation(i)
9 = C(-3)²
C = 1
Given Equation 9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Comparing 'S²' coefficient on both sides, we get
9 = A s²+3 A s +B(s)+3 B +C(s²)
0 = A + C
put C=1 , becomes A = -1
[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]
Step(iv):-
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]
Applying inverse Laplace transform on both sides
[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]
By using inverse Laplace transform
[tex]L^{-1} (\frac{1}{s} ) =1[/tex]
[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]
[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]
Final answer:-
Now the solution , we get
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]
6. The mean of 5 consecutive integers is 19. What is the difference between the largest and
the smallest of the 5 integers?
Answers
Answer:
4
Step-by-step explanation:
The integers are
x
x+1
x+2
x+3
x+4
since they are consecutive
The largest is x+4
The smallest is x
Difference is
x+4 -x
4
Answer:
Step-by-step explanation:
If the least integer is n, it means the five consecutive integers are:
n,n+1,n+2,n+3,n+4
Summing all integers we have:
n + n+1+n+2+n+3+n+4
=5n+10
The mean of this integers is
5n+10 /5 =19
5n+10=19*5
5n + 10 = 95
5n = 95 - 10
5n =85
n=85/5=17
The smallest of the integer is n= 17
The largest integer is n + 4 =17+4=23
The difference between the least and largest integer would be;
Is 4
The sum of largest integer and the smallest integer is 23 + 17 = 40
Which piecewise function is shown in the graph
Answers
Answer:
The answer is A
Step-by-step explanation:
just did it on edge
Helpppppp!.!.!.!.!.!.!.!.!.!!.
Answers
Answer:
~ 84 cm of the pop in the poster ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
7 = 1 ⇒ x - centimeters of the pop in the poster
x 12
2. Now let us cross multiply, and solve through simple algebra for x:
7 * 12 = x,
x = 84 centimeters of the pop in the poster
Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 530 males surveyed, 175 responded "Yes"; among the 575 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts below.
(a) Determine the sample proportion for each sample.
The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.)
(b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.
A. The sample size is more than 5% of the population size for each sample
B. The sample size is less than 5% of the population size for each sample
C. The samples are dependent.
D. The data come from a population that is nornally distributed.
E. np (1-) 10 and n2p2 (1-2) 210
F. The samples are independent.
(c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.
Answers
Answer:
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
D) The data come from a Population that is Normally distributed
F) the samples are independent
c)
Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]
Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]
Step-by-step explanation:
Given data Among the 530 males surveyed, 175 responded "Yes
The sample proportion of males
[tex]p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301[/tex]
The sample proportion of 575 Females surveyed, 218 responded "Yes
[tex]p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791[/tex]
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
The data come from a Population that is normally distributed.
The two samples are independent
c)
Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]
Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]
We will use two samples Z - hypothesis test
[tex]Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }[/tex]
[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }[/tex]
[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }[/tex]
[tex]Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287[/tex]
The test statistic
[tex]Z = \frac{0.3301-0.3791}{0.02875}[/tex]
Z = -1.7043
|Z| = |-1.7043|
The tabulated value Z₀.₉₅ = 1.96
The calculated Z= 1.7043 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
Conclusion:-
The evidence suggest not a higher proportion of females are annoyed by this behavior
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answers
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.
The approximate length of side XY is units. The approximate length of side YZ is units. The approximate length of side ZX is units. The approximate perimeter of triangle XYZ is units.
Answers
Answer:
ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ = 14√5 units
Step-by-step explanation:
1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle, the length of this altitude would be: 3 units
2. The length of ZX can be determined through Pythagorean Theorem. If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW. ZW clearly = 3, thus ZX^2 = 3^2 + 3^2 = 18, and ZX = √18 units = 3√2.
3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW. Knowing XW to have a length of 3 units, and YW to have length of 1 unit ⇒ XY^2 = XW^2 + YW^2 = 3^2 + 1^2, and XY = √10.
4. YZ is visualized to have a length of 4 units.
5. Knowing that ZX = 3√2, XY =√10, and YZ = 4 ⇒ Perimeter of ΔXYZ = ZX + XY + YZ = 3√2 + √10 + 4 = 14√5 units. To simplify this, it would be that the Perimeter of ΔXYZ = 14√5 units
In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer:
Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
We have given total number of students = 25
5 of them play basket ball 10 of them plays base ball
there are 12 students who neither play baseball nor basket ball
So the number of students who play either baseball or basketball is
[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.
From set theory we know that
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]13=5+10-n(A\cap B)[/tex]
[tex]n(A\cap B)=2[/tex]
Therefore there are two students who play both baseball and basketball
Probability is equal to [tex]=\frac{2}{25}[/tex]
PLEASE HELP IJLFEGNSKEURILAYGKUERU
Answers
Answer:
No. See below.
Step-by-step explanation:
No, Seth lost the plot at the end.
At x = 3,
y = 4x + 1 = 12 + 1 = 13
At x = -2,
y = 4x + 1 = -8 + 1 = -7
Therefore, the curves intersect at (3,13) and (-2,-7)
1. Which number does NOT represent a whole number?
A 25
B 13
С
150
3
D 3.5
Answers
Answer:
D 3.5
Step-by-step explanation:
A number with a decimal can NOT represent a whole number.
ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!
Answers
Answer:
B
Step-by-step explanation:
Hmm... I would think it is B...
b^2-4ac is discrimant. It is 0?
Hotel 3 provides a 6 hour booking for 120 delegates in one room (including tea and lunch).how much would this cost?
Answers
Answer:
$3840
Step-by-step explanation:
The total cost is ...
(6 hr)(cost per hr) +(120 persons)(food cost per person)
= 6($190) +120($15 +7.50)
= $3840
The booking at Hotel 3 would cost $3840.
tell me the answer to the question plz
Answers
Step-by-step explanation:
(11.99+23.98+9.95)= 45.92
she has to pay = 45.92 - 20/100 (45.92)
= 45.92 - 9.18 = 36.74
so option
about 37 is right
Help!.!.!.!.!.!.!.!.!.!.!.!.!.!!.!.!.!.!.!.!.!.!.!.
Answers
Answer:
~ 0.375 centimeters of the snowflake in real life ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
48 = 1 ⇒ x - centimeters of the snowflake in real life
18 x
2. Now let us cross multiply, and solve through simple algebra for x:
48 * x = 18,
x = 0.375 centimeters of the snowflake in real ife
In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted
Answers
Answer:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex]P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}[/tex]
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
[tex] P(X=0)[/tex]
And using the probability mass function we got:
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
The table represents a function.
What is f(5)?
o-8
х
—4
-1
3
5
f(x)
-2
5
4
-8
ооо
1
Answers
Answer:
f(5) = -8
Step-by-step explanation:
x -4 -1 3 5
f(x) -2 5 4 -8
f(5) is the value of f(x) when x = 5
f(5) = -8
Answer:
A) -8
Step-by-step explanation:
The person above me is correct because f(5) is the value of f(x), x=5. So f(5) = -8.
what is 24 ounces converted to pounds
Answers
Answer:1.5 pounds
Step-by-step explanation:
To convert ounce to pounds multiply the ounce value by 0.0625
To convert 24 ounce
24 x 0.0625=1.5
24 ounces is equal to 1.5 pounds
What is the graph of y=2x+3
Answers
a circle with circumference 18 had an arc with 120 central angle. what is the length of the arc
Answers
Answer:
A circle with circumference 18 had an arc with 120 central angle.
=> Radius of that circle: R = 18/(2 x pi) = 2.86
=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99
Hope this helps!
:)
Answer:
6
Step-by-step explanation:
Angle: arc length
360 : 18
120 : X
X/120 = 18/360
X = 120 × 18/360
X = 6
Find the surface area of the pyramid to the nearest whole number.
Answers
Answer:
i think its 248m^2
Step-by-step explanation:
here is an inequality: -3x > 18 list some values for x that would make this inequality true
Answers
Step-by-step explanation: First, we need to solve this inequality.
When you're asked to solve an inequality like -3x > 18, your goal should be the same as it was when solving equations, to get x by itself on one side.
In this problem since x is being multiplied by -3 on the left side of the inequality, to get x by itself, we divide both sides by -3 but here is the rule you have to watch out for when solving inequalities.
When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this greater than in our original problem becomes less than in our second step.
On the left side, the -3's cancel and we're left with
x and on the right side, 18 divided by -3 is -6.
So we have x < -6.
Now, we are asked to state some solutions to the inequality.
The inequality x < -6 means that any number
less than -6 is a solution to the inequality.
For example, -7 is a solution because -7 is less than -6.
-8 is also a solution because -8 is less than -6.
Other possible solutions include -23, -98, -982, and so on.
Any number less than -6 will be a solution.
Can someone help me ?
Answers
Answer:
Equation: -2x = -6
Solution: x = 3
Step-by-step explanation:
1. Take a look at the diagram. With two -x on one side and 6 of the -1 on the other, we can see the equation to be -x - x = -1 - 1 - 1 - 1 - 1 - 1
2. However, this is not a proper equation as it is not simplified: - 2x = -6
3. Now that we have the equation, apply simple algebra to recieve x, as such:
-2x = -6 ⇒ x = -6/-2 ⇒ x = 6/2 ⇒ x = 3
Answer:
equation:-2x=-6
solution: x=3
Step-by-step explanation:
-2x=-6
step one : divide -2 from both sides of the equal sign[tex]-2x/-2=-6/-2[/tex]
then boom you got x=3
