ASE
BCDE is a trapezium with angle CDE = 90°. ABEF is a straight line.
Q2)
D
Diagram
accurately
1159
А
11030
E
F
B
Work out the size of the angle marked x.
Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
m<CBE + m<C + m<D + m<DEB = 360
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
m<CBE + m<C + m<D + m<DEB = 360
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
so we will get a lot of teiangles here.
90°+x+CED=180°
also CED+DEF=180°(half circle, 360/2)
CED+103°=180°
CED=180-103=77°
77°+90°+X/2=180°
x/2=180-167=13°
f(x)=4(0.5)^-1
Find the y value
Answer: y = 0.5x - 4
Step-by-step explanation:
Answer:
y=8
Step-by-step explanation:
In functions, you should know that f(x)=y. In this problem, y is replaced by 4(0.5)^-1. So all you need to do is solve what 4(0.5)^-1 is, which is 8. This means that f(x)=8, but y is also equal to f(x). The answer is then y=8.
Hope you understand and that this helps with your question! :)
Factorize: Challenge problem:
x^2+19x+78
help :)
Answer:
(x + 6)(x + 13)
Step-by-step explanation:
Given
x² + 19x + 78
Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)
The factors are + 6 and + 13 , since
6 ×13 = + 78 and 6 + 13 = + 19 , then
x² + 19x + 78 = (x + 6)(x + 13) ← in factored form
[tex]\bold{ x^2+19x+78 }[/tex]
[tex]\bold{ x^2+13x+6x+78 }[/tex]
[tex]\bold{ x(x+13)+6(x+13) }[/tex]
[tex]\bold{(x+6)(x+13) }[/tex]
Solve the system of equations. − 3 x + 2 y = 56 − 5 x − 2 y = 24 −3x+2y=56 −5x−2y=24
Step-by-step explanation:
-3x + 2y = 56
+ (-5x - 2y = 24)
=> -8x = 80, x = -10.
Therefore -3(-10) + 2y = 56, 30 + 2y = 56, y = 13.
Hence x = -10 and y = 13.
Answer:
x = -10 and y = 13.
Step-by-step explanation:
Hope this helped have an amazing day!
patricia has 45.82 in her checking account. How much does she have in her account after she makes a deposit of 120.75 and a withdraw of 185.90
Answer:
-19.43
Step-by-step explanation:
You got to add 120.75 to 45.82 then you subtract it from 185.90
comment if this helps :)
de acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.
n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be
Complete Question
In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->
It must be that the resulting P-value must be
A) Greater than 0.2
B) Between 0.19 and 0.10
C) Between 0.09 and .05
D) Between .049 and .02
E) Less than 0.02
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The mean of sample 1 is [tex]\= x_1 = 10[/tex]
The standard deviation is [tex]s_1 = 6[/tex]
The mean of sample two is [tex]\= x_2 = 16[/tex]
The standard deviation is [tex]s_2= 4[/tex]
The sample size for both samples is [tex]n_1 = n_2 = n = 6[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]
=> [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]
=> [tex]z = -1.3646[/tex]
From the z table the area under the normal curve to the left corresponding to -1.3646 is
[tex]P(Z < -1.3646) = 0.086189[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -1.3646)[/tex]
=> [tex]p-value = 0.086189 * 2[/tex]
=> [tex]p-value = 0.1724[/tex]
So the p-value is Between 0.19 and 0.10
6. Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9
Answer:
C. no solutionStep-by-step explanation:
Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9
Given the expression;
(z – 8)^2 = -1
we are to find the nature of the solution;
Take the square root of both sides
(z – 8)^2 = -1
√(z – 8)^2 = √-1
z- 8 = √-1
Note that √-1 will give a complex number i to have;
z = 8 ± i
This therefore shows that the equation has no real solution.
The function f(x) is graphed. It represents a translation of the square root function y = .
What equation represents the graph of f(x)?
y =
y =
y = – 2
y = + 2
Answer:
y = sqrt x-2
or c on edge
Step-by-step explanation:
Find the solution to the system
5x+4y=-34 and y=3x
Answer:
x = -2 ; y = -6
Step-by-step explanation:
Let y = 3x be eqn.1
So putting eqn.1 in 5x + 4y = -34 gives ,
[tex]5x + 4y = - 34[/tex]
[tex] = > 5x + 4(3x) = - 34[/tex]
[tex] = > 5x + 12x = - 34[/tex]
[tex] = > 17x = - 34[/tex]
[tex] = > x = \frac{ - 34}{17} = - 2[/tex]
Putting the value of x in eqn.1 gives :-
[tex]y = 3x = 3 \times ( - 2) = - 6[/tex]
2 - 20
16) Solve the problem.
Use the Associative Property of Addition to find the equivalent expression. Replace the
variable with the given number to prove the expression is equivalent.
* + (4 + 6) = ---
I = 5
Answer:
The answer is 15=15
Step-by-step explanation:
go to math
way, which is a website
and put your question in and the answer waill come to you!
How to I write 1 2/3 as an improper fraction help ASAP
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
AEF
Step-by-step explanation:
NOT B
Three friends are participating in a
charity run. Joy ran 6.8 miles, Simón ran
5.5 miles, and Kita has run 8.4 miles.
Part A
Complete the bar diagram to find the
total distance the friends have run.
Part B
If each friend ran the same distance of
the charity run, how many miles would
each friend run? Complete the bar
diagram to help you
Part C
It took Simón 33 minutes to run
5.5 miles. Did he run faster or slower
than 1 mile every 5 minutes? How can
you tell?
Answer:
Part A. 20.7
Part B. 6.9, 6.9, 6.9
Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon ran slower than 1 mile every 5 minutes.
Step-by-step explanation:
is 1/3, 7/21 proportion
Answer:
1/3
Step-by-step explanation:
5-(-3.8) + 1.5
I don't understand how to work problems like this
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
SMART PPL PLEASE help meeeeeeeeeeeeeee
Answer:
the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable
Solve the equation.
3y + 11 = -16
Answer:
y= -9
Step-by-step explanation:
Answer:
y = -9
Step-by-step explanation:
Algebra:
3y + 11 = -16
-11 -11
3y = -27
÷ 3 ÷ 3
y = -9
For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.
If he writes at the same rate, how long will it take Joe to write his report?
Answer:
2hours/4pages
2/4=1/2
1/2=x/12
cross multiply
12=2x
divide by 2 both sides
6=x
6 hours
Answer:
the answer is 6
Step-by-step explanation:
Can someone help me please?
find the decimal equivalent of the following percent: 0.45%
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
When rolling two 6-sided dice, what is the probability of rolling a sum of 7 and 11?
Answer:
We have two 6-sided dice.
Each one of them has 6 possible outcomes.
The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them
Then the total number of outcomes is:
C = 6*6 = 36.
The number of outcomes where the sum of the dice are 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
So we have 6 outcomes where the sum of both numbers is equal to 7.
The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)
The probability is:
P = 6/36 = 1/6
Now let's do the same for 11.
The outcomes where the sum is 11 are:
5 and 6
6 and 5
So we have two outcomes.
In this case, the probability will be:
P = 2/36 = 1/18
y = 230x + 100
Is this proportional or non proportional?
Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.
The +100 at the end is why we don't have a proportional equation.
Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.
34 divided by 523.6
Answer plz
Answer:
0.0649350649350649
Step-by-step explanation:
Answer: 0.06493506493
Step-by-step explanation:
Which expression is equivalent to
-15163-3?Assume #w0D
Answer:
Second one.................
It cost $4.75 for 25 fl-oz of detergent. How much cost per fl-oz?
It cost $ per fl-oz.
Answer:
It costs 19 cents or 0.19 dollars per fluid ounce.
Step-by-step explanation:
4.75 divided by 25 is 0.19. 0.19 is 19 cents.
Answer:
19
Step-by-step explanation:
if I have a 15 gallon tank what percentage is in tank if it only takes 12 gallons to fill it
Step-by-step explanation:
12/15 * (100%)
= 4/5 * (100%)
= 4 * 20%
= 80%
Please gimme brainliest
What is the measure ofEGE?
What is the measure ofCGF?
E
50
F
options for EGF are 40, 55, 65, 80
options for CGF are 50, 90, 95, 115
Step-by-step explanation:
Angle EGF = 0.5(180° - 50°) = 65°.
Angle CGF = 180° - Angle EGF = 115°.