Find the measure of each angle whose degree measure is represented in terms of x in the given
triangle.
Please help :)
Answers
Answer:
Step-by-step explanation:
Answer:
That's barely readable! Anyway the solution is:
7x + 7x +2 +5x +7 = 180 degrees
19x + 9 = 180 degrees
19x = 171 degrees
x = 9
So the angles are:
7x = 63 degrees
7x + 2 = 65
5x + 7 = 52
Double check:
Since ALL 3 triangle sides add up to 180:
63 + 65 + 52 = 180 degrees
Step-by-step explanation:
Related Questions
help i’ll give brainliest
Answers
Answer:
c c c c c c c c c c c c c c c c c c c c
2.6.67
Two cylindrical cans of soup sell for the same price. One can has a diameter of 6 inches and a height of 7 inches. The other has a diameter of 7 inches and a height
of 6 inches. Which can contains more soup and, therefore, is the better buy?
Which can contains more soup and therefore, is the better buy?
Please help :)
Answers
Answer:
second can
Step-by-step explanation:
The radius is half of the diameter.
The radius is squared in the formula for the volume of the cylinder.
A diameter of 7 and height of 6 will make a larger can than a diameter of 6 and height of 7.
A family has inherited $300,000. If they choose to invest the $300,000 at 12\% per year compounded quarterly, how many quarterly withdrawals of $25000 can be made? (Assume that the first withdrawal is three months after the investment is made).
Answers
Step-by-step explanation:
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Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value.
f(x)=6x^2+12x
Answers
Answer:
(-1, -6)
Step-by-step explanation:
This a term in this function is not negative, which would make it be flipped over the x-axis. Therefore this function takes the typical parabola shape, and it will have a minimum point.
To find the x-value of the minimum use the formula -b / 2a.
-12 / 2(6) = -1
Then plug in the x-value and find the y-value for this function
f(-1) = 6(-1)^2 + 12(-1) = -6
An ordinary fair die is a cube with the numbers one through six on the sides represented by painted that. Imagine that such a die is rolled twice in succession and that the face values of the two goals are added together. This song is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event a: the sun is greater than six
Answers
Answer:
ok so what i think your trying to ask is if we roll two dice that the sum will be more then 6
Two dice
Assuming that the dice are unbiased or not " loaded".
Each side has the same probability, is 1/6 =0.16667, to turn up when rolled, if the die (D) is unbiased. The probability of a side turning up on D1 when 2 dice ( D1,D2) are rolled, is independent of the side turning up in D2. So this is an independent event.
How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?
These are the possibilities
Case 1.
D1 =1 & D2=5
Or
D1= 5 & D2=1
Case 2.
D1 =2 & D2=4
Or
D1= 4 & D2= 2
Case 3. D1=3, D2=3
P3 =0.027778
Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.
The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.
P1= 0.02778+ 0.02778 =0.055558
P2= 0.02778+0.02778 =0.055558
Same way,
P3=0.027778, when there is only one way to get the sum 6.
So, P = 0.138894
Based on truncating at the sixth decimal place.
A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.
Hope This Helps!!!
What is 2225 rounded to the nearest thousand? Hurry please
Answers
Answer:
2000
Step-by-step explanation:
2225 to the nearest 100 is 2300 but 3
<5 so it is 2000
Which point is part of the solution of the inequality y ≤ |x + 4| − 3?
Answers
Answer:
Step-by-step explanation:
Identify the transformation that occurs to create the graph of k(x).
k(x)=9f(x)
Answers
Answer:
To create the graph of k(x) , the graph of f(x) undergoes a vertical stretching by a factor of 9.
Step-by-step explanation:
We are given that
[tex]k(x)=9f(x)[/tex]
We have to Identify the transformation that occurs to create the graph of k(x).
To create the graph of k(x) we will multiply the function f(x) value by 9.
Let f(x) be any function
[tex]g(x)=a f(x)[/tex]
Where a>1
It means to obtain the graph of g(x) the graph f(x) has undergone a vertical stretching by a factor of a.
We have k=9>1
Therefore, to create the graph of k(x) , the graph of f(x) undergoes a vertical stretching by a factor of 9.
Sorry to ask so many questions but I need help in MATH
PLZZZ HELPPP
Answers
Answer:
24 26 27 94 is the answer 45
Answer:
the correct answer is 45
Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot shows the data he gathered and the line of best fit.
Answers
The scatter plot showing data gathered and line of best fit is attached below :
Answer:
69
Step-by-step explanation:
Given the regression model :
y = 1.73x + 0.0924
Where,
y = number of pink flowers
x = Red flowers
Slope = 1.73
Intercept = 0.0924
The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :
Put x = 40 and calculate the value of y
y = 1.73(40) + 0.0924
y = 69.2 + 0.0924
y = 69.2924
Number of pink flowers = 69
Which statement explains how to correct the error that was made?
The subtraction property of equality should have been applied to move m to the other side of the equation.
The multiplication property of equality should have been applied before the division property of equality.
The division property of equality should have been applied to move the fraction to the other side of the equation.
O The square root property should have been applied to both complete sides of the equation instead of to select
variables.
Answers
Answer:
The square root property should have been applied to both complete sides of the equation instead of to select
variables.
angle 1 is congruent to angle 2 prove p is parallel to q
Answers
You'll need 2 more lines to complete this two column proof.
---------------------
Line 4
For the "statement" portion, you'll say something like [tex]\angle 2 \cong \angle 3[/tex]
The reason for this statement is "transitive property"
We're basically combining lines 1 and 3 to form this new line.
The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.
---------------------
Line 5
The statement is what you want to prove since this is the last line.
So the statement is [tex]p || q[/tex]
The reason is "converse of corresponding angles theorem"
As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".
What is the product of 2x(5+3)-4^2
Answers
Answer:
2×8-4^2
=16-16
=0
0 is the porduct
SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population consists of two members. Find the population size after seven days. (Round your answer to the nearest whole number.) P(7)
Answers
Answer:
A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.
Step-by-step explanation:
CHECK MY ANSWERS PLEASE
____
The sequence is geometric:
3, 13, 23, 33,...
True
False***
_____________________
The sequence is geometric:
5, -25, 125, -625,...
True***
False
Answers
True you’re welcome
A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.20 per square centimeter and the sides cost $0.10 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the height. Round your answers to two decimal places.) x
Answers
Answer:
Box dimensions:
x = 3.42 cm
y = 6.84 cm
C(min) = 14.04 $
Step-by-step explanation:
We need the surface area of the cube:
S(c) = 2*S₁ ( surface area of top or base) + 4*S₂ ( surface lateral area)
S₁ = x² 2*S₁ = 2*x²
Surface lateral area is:
4*S₂ = 4*x*h V(c) = 80 cm³ = x²*h h = 80/x²
4*S₂ = 4*80/x
4*S₂ = 320 / x
Costs
C (x) = 0.2* 2*x² + 0.1 * 320/x
Taking derivatives on both sides of the equation we get:
C´(x) = 0.8*x - 32/x²
C´(x) = 0 0.8*x - 32/x² = 0
0.8*x³ - 32 = 0 x³ = 32/0.8
x³ = 40
x = 3.42 cm
h = 80/(3.42)² h = 6.84 cm
To find out if x = 3.42 brings a minimum value for C we go to the second derivative
C´´(x) = 64/x³ is always positive for x > 0
The C(min) = 0.4*(3.42)² + 32/(3.42)
C(min) = 4.68 + 9.36
C(min) = 14.04 $
The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay = c. It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below.
5x + 9y = 2, 7x + 2y = 1
The angle is _______ radians.
(Type an exact answer, using pi as needed)
Answers
Answer:
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Step-by-step explanation:??????????????
Plzzzz Help
The cost (in dollars) of buying x pounds of a party product is given by the function
C(x) = 10x + 300.
Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.
In this situation, what is the domain of this function?
Answers
Answer:
180
Step-by-step explanation:
Given the cost (in dollars) of buying x pounds of a party product is given by the function
C(x) = 10x + 300.
Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.
To get the domain of the function, substitute C(x) =2100 and find x
2100 = 10x + 300
10x = 2100 - 300
10x = 1800
x = 1800/10
x = 180
Hence the domain of the function is 180
Use the P (A + B) = P (A) x P (B) rule to find the probability of system failure. Let A and B be the events that the first alarm and second alarm, respectively, fail. Do you get the same answer you did in the earlier question?
Answers
Answer:
answer is in the pic Mark me brainliest plz
Step-by-step explanation:
Answer:
The probability of the first alarm failing is (1 - 0.8) = 0.2
The probability of the second alarm failing is (1−0.9)=0.1.
Using the multiplication rule (since A and B are independent), the probability of failure is 0.2 * 0.1 = 0.02
Step-by-step explanation:
How to solve it and explain it
Answers
Answer:
28.27 in²
Step-by-step explanation:
The equation for the area of a circle is A = π[tex]r^{2}[/tex]. However, we got the diameter.
diameter = 2(radius), so:
A = [tex]\frac{1}{4}[/tex]πd².
A = 1/4 * π * 6² ≈ 28.27433
A, B and C are collinear points. B is between A and C. AB=3x+4 BC=4x-1 AC=8x-9 Find AC
Answers
Answer:
[tex]AC = 87[/tex]
Step-by-step explanation:
Given
[tex]AB = 3x + 4[/tex]
[tex]BC = 4x -1[/tex]
[tex]AC = 8x - 9[/tex]
Required
The value x
Since A, B and C are collinear, then;
[tex]AC = AB + BC[/tex]
This gives:
[tex]8x - 9 =3x+4+4x-1[/tex]
Collect like terms
[tex]8x - 3x - 4x = 9 + 4-1[/tex]
[tex]x = 12[/tex]
We have:
[tex]AC = 8x - 9[/tex]
[tex]AC = 8*12 - 9[/tex]
[tex]AC = 87[/tex]
add 7/8 + 2 3/24 + 6 1/6
Answers
Answer:
9 4/24 or 9 1/6
Find the LCM(lowest common multiple) of 8, 24 and 6.The LCM of 8, 24 and 6 is 24.We now want to turn all the denominators into 24 so we are going multiply 7/8 by 3 and 1/6 by 4. We won't need to turn the denominator of 3/24 into 24 because it's already 24Whatever you do to the denominator you have to do to the numerator, so you also have to multiply the numerator of 7/8 by 3 and the numerator of 1/6 by 4That now results in 21/8 + 2 3/24 + 6 4/24Now you have to add all the fractions together which is going to equal to 28/24Because 28/24 is more than the whole, subtract 28 from 24 which gives us 4. That 4 is now our new numeratorWe are now going to all the whole numbers 6+2+1=9. Incase you're wondering, the '1' came from the 28/24The answer you should get should be 9 4/24 or if it should be simplified it would be 9 1/6
What are the solutions to the system of equations graphed below?
Answers
Answer:
D
Step-by-step explanation:
solution is the points where the two graphs intersect.
they intersect at (-3,-3) and (0,6)
when a number is added to 1/5 of itself, the result is 24. the equation that models this problem is n+1/5n=24. what is the value of n?
Answers
1
5
n
=
24
⇒
5
n
+
n
5
=
24
⇒
6
5
n
=
24
⇒
n
=
24
×
5
6
⇒
n
=
20
Which of these professionals most directly uses geometry? Choose the best answer
Answers
Answer:
- Surveyors
- developers of the GPS system
Step-by-step explanation:
a garden has more roses than daisies, and it has 9 daisies.furthermore, each flower in the garden has more then 3 petals.Let r represent the number of roses and let P represent the total number of petals in the garden. let’s compare the expressions P and 3(r+9). which statement is correct
Answers
Answer:
There is not enough info to tell
Step-by-step explanation:
Khan acadamey
The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of change of the side of the square when it is 4 centimeters. The rate of change of the side is Number cm/sec.
Answers
Answer:
3cm/s
Step-by-step explanation:
Area of a square is expressed as:
A = L²
Rate of change of area is expressed as:
dA/dt = dA/dL•dL/dt
Given that
dA/dt = 24cm²/s
L = 4cm
Required
dL/dt
Since dA/dl = 2L
dA/dl = 2(4)
dA/dl = 8cm
Subatitute the given values into the formula
24 = 8 dL/dt
dL/dt = 24/8
dL/dt = 3cm/s
What is the least possible degree of a polynomial that has roots -5,1 + 4i, and -4i?
3
2
5
4
Answers
Without any extra conditions, the answer could be 3, and the simplest polynomial with the given roots would be
(x + 5) (x - (1 + 4i )) (x + 4i )
= x ³ + 4x ² + (11 - 4i ) x + 80 - 2i
If the polynomial is supposed to have only real coefficients, then any complex roots must occur along with their complex conjugates:
(x + 5) (x - (1 + 4i )) (x - (1 - 4i )) (x + 4i ) (x - 4i )
= x ⁵ + 3x ⁴ + 23x ³ + 133x ² + 112x + 1360
and then the degree would be 5.
Determine the measure of the interior angle at vertex C.
Answers
Answer:
The ANSWER is 18*3= 54
Step-by-step explanation:
total angle inside pentagon = 540 degrees so 3(8x)+2(3x)=540 and that is 30x=540
Answer:
C = 144
Step-by-step explanation:
A 5 sided figure has the interior angle sum of 540 degrees
8x+8x+8x+3x+3x = 540
Combine like terms
30x= 540
30x/30 = 540/30
x = 18
<C = 8*18 = 144
I’m having trouble solving this. What’s the answer?
