Answer:
k/4+3=14
First you need to isolate the variable.
multiply both sides by 4
Help please and thanks!
Answer:
9. x = 31°
10. m∠ABC = 62°
11. m∠BCA = 60°
Step-by-step explanation:
We are given the following values for ΔABC, and its exterior angle, ∠ACD:
In ΔABC, the two nonadjacent interior angles are:
m∠A = 58° m∠B = 2x°While the exterior angle, m∠ACD = (5x - 35)°.
In order to solve for questions 9 through 11, we must apply the Exterior Angle Theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent or remote interior angles.
Question 9:In order to find the value of x, we can use the Exterior Angle Theorem:
m∠ACD = m∠A + m∠B
(5x - 35)° = 58° + 2x°
5x° - 35° = 58° + 2x°
Subtract 2x from both sides:
5x° - 2x - 35° = 58° + 2x° - 2x
3x - 35° = 58°
Next, add 35° to both sides:
3x° - 35° + 35° = 58° + 35°
3x° = 93°
Divide both sides by 3 to isolate x:
[tex]\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{93}{3} }[/tex]
x = 31°
Therefore, the value of x = 31°.
Question 10:In order to find m∠ABC, we must first substitute the value of x into m∠B:
m∠B = 2x° = 2(31)° = 62°
Therefore, m∠ABC = 62°.
Question 11:In order to find m∠BCA, we must first find the value of its supplement, m∠ACD, by substituting the value of x derived from question 9.
m∠ACD = 5x° - 35° = 5(31)° - 35° = 120°
Next, substitute the value of m∠ACD into the following equation:
m∠BCA + m∠ACD = 180°
m∠BCA + 120° = 180°
Subtract 120° from both sides:
m∠BCA + 120° - 120° = 180° - 120°
m∠BCA = 60°
Therefore, m∠BCA = 60°.
Verify:In order to verify whether we have the correct values for each interior angles, we can apply the Triangle Sum Theorem which states that the sum of all interior angles of a triangle is equal to 180°. In other words:
m∠A + m∠B + m∠C = 180°.
58° + 62° + 60° = 180°
180° = 180° (True statement).
Ava and Mary are 10 miles apart on a path when they start moving toward each other. Ava runs at a constant speed of 4 miles per hour, while Mary walks at a constant speed of 1 miles per hour. How long does it take until they meet?
Answer:
Step-by-step explanation:
You are after time. You know the total distance. They start off at the same time and meet after t hours
Let the meeting time = t
Let the distance from Mary's standpoint be d
Mary
d = r * t
r = 1 mile / hour
t = ?
Ava
d = r*t
d for Ava = 10 - d
r = 4 mile / hour
Solution
10 - d = 4 * t
The time is the same for both people
Ava: divide both sides by 4
10/4 - d/4 = t
Mary
d = 1 * t
d = t
10/4 - d/4 = d Add d/4 to both sides.
10/4 = d + d/4
10/4 = 5d / 4 Multiply both sides by 4
10 = 5d Divide both sides by 5
10/5 = 5d/5
d = 2
Since from Mary we have d = t
They will meet in 2 hours.
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call
voters and ask for donations.
Josh and Adelina define X as the amount donated by a given voter they call. Based on data from their volunteer
callers, the expected value of X is E(X) = $18.07.
Adelina says, "For every 100 voters we call, we can expect to bring in about $1,807 in total donations."
Josh says, "If we call a very large number of voters, the average donation will be close to $18.07."
Whose statement is correct based on the expected value?
According to the given expected value, it is found that Josh's statement is correct.
The interpretation of the expected value is that over a large number of trials, the average value will be close to the expected value.In this problem, the expected amount donated by a given voter they call is $18.07.
Hence, considering a very large number of voters called, the average amounts of their donations will be close to $18.07, hence, Josh's statement is correct.100 voters is not a large amount, hence the expected value should vary around $18.07, and we can't say that Adelina's statement is correct.You can learn more about expected value at https://brainly.com/question/25858347
Answer:
both correct :)
Step-by-step explanation:
What are the common factors of 24 and 36?
O A. 1,2,4,6, 12
O B. 1,2,3,4,6,12
C. 1,2,3,4,6,8,12
O D. 1,3,4,9,18
Answer:
B. 1,2,3,4,6,12
Step-by-step explanation:
Factors of 24: 1, 24, 2, 12, 3, 8, 4, 6
Factors of 30: 1, 36, 2, 18, 3, 12, 4, 9, 6,
•(5,25) •(4,16) •(3,9) •(2,4) •(1,1) The sequence is arithmetic because the terms have a common difference.
The sequence is arithmetic because the terms do not have a common difference.
The sequence is not arithmetic because the terms have a common difference.
The sequence is not arithmetic because the terms do not have a common difference.
Answer:
3. The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation:
These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:
1, 4, 9, 16, 25
The 3 answers are:
The sequence is arithmetic because the terms do not have a common difference.The sequence is not arithmetic because the terms have a common difference.The sequence is not arithmetic because the terms do not have a common difference.First, look at the difference between each of the terms.
[tex]4-1=3\\9-4=5\\16-9=7[/tex]
Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.
Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.
Write an equation of the perpendicular bisector of the segment with endpoints (3,-7) and (-5,3) writing non-integers as simplified fractions:
Answer:
Step-by-step explanation:
GIVING BRAINLEST!
What is the location of this point?
y-axis
x-axis
5
Answer:
0,0
Step-by-step explanation:
because it is in the centre of the graph
Please help me
I don’t know what to do for this and it’s really confusing
Answer:
Midpoint: (0, 5/2) or (0, 2.5)
Step-by-step explanation:
The diagonal BD is made of the points B(4,7) and D(-4,-2)
to find the midpoint of these points you add the two x coordinates and divide by two --> (4+-4)/2=0/2=0
Then you add the y coordinates and divide by 2 --> (7+-2)/2=5/2 or 2.5
Then you've got your midpoint.
hopefully I've understood the question correctly - hope this helps!
PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft
Answer:
3.6 cubic feet
Step-by-step explanation:
The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]
what is an equation of the line that passes through the point (3, -8) and has slope -2?
Answer:
Step-by-step explanation:
slope of -2 means the slope is -2/1
from (3, - 8) you can find the y intercept by going backwords until x = 0
(2,-6)
(1,-4)
(0,-2)
so the y intercept is -2
y = -2x - 2
If xy + xb + ya + ab = 32 and x + a = 4 , then x + b =
and i will give BRAINLIEST
Answer:
Step-by-step explanation:
If you're actually looking for y + b rather than x + b
Then
xy + xb + ya + ab = (x + a)(y + b) = 32
4(y + b) = 32
y + b = 8
otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.
Calculator
6 mm
What is the area of this figure?
6 mm
Enter your answer in the box.
8 mm
8 mm
mm
Answer:
[tex] {84mm}^{2} [/tex]
Step-by-step explanation:
Area of square= l×l
Area of square= 6mm × 6mn
Area if square = 36 mm²
Area of triangle 1= ½b ×h
Area of triangle 1= ½ (6mm)(8mm)
Area of triangle 1 = 24 mm²
Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight
: . area of triangles is 48mm²
Area of the figure= Area of square + Area of triangles
A of figure = 36+48
A of figure = 84 mm²
Option 2
Use trapezium formula
Area of trapezium= (a+b)/2 * h
a=6 mm (base)
b=8+6=14 mm (Base)
h= 6mm (height)
[tex]area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2} [/tex]
Therefore the area of triangle= 24mm² as calculated in option 1
Area of the figure= Area of trapezium +Area of triangle
Area of figure = 60+24
= 84 mm²
Belinda's Great Dane is 74.Belinda's Great Dane is 74.9 cm tall and 225 cm long.
Write these lengths in metres.9 cm tall and 225 cm long. Write these lengths in metres.
Answer:
0.749m and 2.25m
Step-by-step explanation:
to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m
74.9cm/100= 0.749m and 225cm/100=2.25m
Do these ordered pairs represent a function? {(4,1), (5,2), (8,2), (9,8)} *
Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
7362*637 help please
Answer:
4689594
Step-by-step explanation:
1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.
The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535
What is the Probability in Normal Distribution?
We are given;
Sample size; n = 50
Standard deviation; σ = 0.5
Mean; μ = 2
The formula to find the z-score for each sample mean is;
z = (x' - μ)/(σ/√n)
Thus, for x' = 1.8, we have;
z = (1.8 - 2)/(0.5/√50)
z = -2.83
For x' = 2.2, we have;
z = (2.2 - 2)/(0.5/√50)
z = 2.83
Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;
P(-2.83 < Z < 2.83) = 0.99535
Read more about Normal Distribution Probability at; https://brainly.com/question/4079902
#SPJ1
Translate the phrase into a variable expression. Use the letter p to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(7) for division
the total number of peanuts divided among 4 baseball fans
Answer:
p/4
Step-by-step explanation:
You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4
Answer: its p/10
Step-by-step explanation: i just did it
what is 130mins into hours and minutes?
Answer:
Step-by-step explanation:
1 Hour = 60 minutes
60 + 60 = 120 minutes
120 minutes = 2 hours
Add 10 minutes
2 hours 10 minutes = 130 minutes
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =
Answer:
Position function is [tex]s(t)=-12t^2[/tex]
Step-by-step explanation:
Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].
Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].
PLS HELP ILL MARK BRAINLIEST
TechWiz Electronics makes a profit of $35 or each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold
combined total of 143 MP3 and
DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression
TechWiz made from MP3 and DVD players last week.
for the combined total profit (in dollars)
Answer:
Total profit=$35x+$18(130-x)
Total profit=$35x+$2340-$18x
Total profit=$17x+$2340
Step-by-step explanation:
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W=5) AS AN EQUIVALENT EXPRESSION
answer ?
30 or 30W
Step-by-step explanation:
this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30
1plss help, it time.............................
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
Work out the highest common factor (HCF) of 180 and 240
If I am correct, I believe that it is 60
25. Which is a solution of the inequality y
(3,-5)
(2,-1)
(4,1)
(6,-4)
Step-by-step explanation:
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5
what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product
Answer:
same: 30×40 = 1200different: 20×50 = 1000Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
__
Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
_____
For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
Example: neither 2 nor 5 has a factor of 10, but their product does.
__
For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
_____
Additional comment
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other?
I can’t help because I can’t see the coordinate plane.
HELP ME! I WILL GIVE BRAINLIEST
Answer:
#1 matches with the pizza scenario
#2 matches with the present scenario
#3 matches with the Sarah scenario
Step-by-step explanation:
Look for keywords at the end of the questions and if they go hand and hand (such as in 7 hours / yield 20 servings) then they go together as a pair
When solving a quadratic in the form ax2 + bx + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? put it in a full sentence for me please
Answer:
solutions
Step-by-step explanation:
Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.
2. Nora's bill at a store is $125. If she leaves a 2% tip for the gate keeper,
how much will the total bill be, including tip?
Answer:
$127.50
Step-by-step explanation:
All you have to do is $125 times 1.02 because it is adding to the price it is already.
$125 × 1.02.
Which is $127.50.
9 X 19 + 2 X 57 - 75 = n
Answer:
210
Step-by-step explanation:
juss a fact
Answer:
210
Step-by-step explanation:
First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210