please help me!
in ∆ ABC the two interior angles 25° (x+15°) are non -adjecen to an exterior angle (3x-10°) then find x.
Answers
Given the above problem involving interior and exterior angles, the value of x = 70°
What is an exterior angle?External angles are those that are parallel to a polygon's inner angles but are on the outside of it. The sum of two internal opposing angles equals the measure of an outside angle.
In this case the exterior angle is: (3x-10°). See attached image.
Thus, we can find x by using the principle of the Sum of an interior angle of a triangle.
Since all interior angles of a triangle sum up to 180°, then
If the missing side is x,
x° + 25° + (x+15°) = 180°
To solve the equation x° + 25° + (x+15°) = 180° for x, you first need to simplify the left-hand side of the equation:
x + 25 + (x+15) = 180
Combine like terms: 2x + 40 = 180
Now simplify: 2x = 140
Divide both sides by 2: x = 70
Therefore, the solution to the equation is x = 70.
Thus, (3x-10°)
If x = 70, then:
3x - 10° = 3(70) - 10°
= 210° - 10°
= 200° (Exterior Angle)
Also, (x+15°) if x = 70° is solved as:
If x = 70, then:
x + 15° = 70 + 15°
= 85°
To show that the computations are correct,
let's add all interior angles:
70+25+85 = 180°
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Related Questions
Construct an equation for a function with a zero at -2 and a double zero at 3.
Answers
Step-by-step explanation:
feeling the compa
Como te amo mucho
Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x
Answers
a Binomial is 2 terms
so the solution is
A
B
E
Answer:
A, B, and E
Step-by-step explanation:
Binomials are equations that consist of two terms.
What is the circumference of this circle?
r= 2 km
1)) 15.25 km
12.56 km
)) 18.16 km
()) 10.14 km
Answers
Answer:
12.56km
Step-by-step explanation:
Circumference of circle=2pi r
Set pi=3.14
2xpix2=12.56km
Solve for x given that the polygons are similar. Then find the scale factor of the smaller figure to the larger figure.
Answers
The given polygons are similar and the scale factor of dilation is 3 : 2
Given data ,
Let the scale factor of the dilation be represented as k
Now , the value of k is
The measure of the ratio of corresponding sides are given as
21 / 14 = 12 : 8
3 : 2 = 3 : 2
Therefore , the dilation factor is 3 : 2
And , the measure of x is given by
21 / 14 = x / 12
3 / 2 = x / 12
Multiply by 12 on both sides , we get
x = 18
Hence , the dilation of polygon is solved
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The complete question is attached below :
Solve for x given that the polygons are similar. Then find the scale factor of the smaller figure to the larger figure
The Department of Health plans to test the lead level in a public park. The park will be closed if the average lead level exceeds the allowed limit of 400 parts/million, otherwise, the park will be kept open. The department conducts the test using soil samples gathered at randomly selected locations in the park. You work for the Department of Health and your concern is for public safety and overall health of communities In this situation, would you make alpha or beta as low as possible and why? Beta. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't. Beta. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't safe.
Answers
The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.
This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.
As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.
On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.
Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.
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What is the value of x
Answers
Answer:
9
Step-by-step explanation:don't use this awnser its wrong
Layla and Bobby are making potholders with their grandmother. They have a total of 1.5 yards of fabric they can use, and it takes one-eighth of a yard to make each potholder. What is the maximum number of potholders they can make?
Answers
Help pls
I need the slope of the line 1 and 2
Answers
Line 2 slope is 4/5
line 2= 4/5
hope this helps
How do you find the measure of an angle in a triangle isosceles?
Answers
To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other. The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.
Determine which two sides of the triangle are equal in length (these are called the "congruent sides").
Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."
Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).
For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.
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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.
In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.
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Help help help help help
Answers
Answer:
What can I answer ehh that's just an help ♀️♀️
Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
Answers
Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
For the given trinomial that has the factor (x -1), k = 1,
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given a trinomial equation:
f(x)=x^3+kx-4
And also given it has a factor (x - 1)
Thus, at x = 1 the value of the f(x) will be 0
So,
f(x) = x^3 + kx - 4
f(1) = 1^3 + k*1 - 4
0 = 1 + k -4
k = 3
therefore, The value of k = 1 for the given Trinomial that has the factor (x -1)
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Between 2015 and 2021. Faimont Chateau Lake Louise has reduced water consurnption by 20,000 m3. To ensure our water quality, surface water quality samples are collected from Lake Louise and Louise Creek on an annual basis, as part of an ongoing water chemistry monitoring program. Based on the materials of the course, water quality concems involve analyzing the presence of trace minerals and__
a. vitamins b. oxygen c. nutrients d. nitrates
Answers
Water quality concerns, as part of the water chemistry monitoring program, involve analyzing the presence of trace minerals and nutrients in surface water samples collected from Lake Louise and Louise Creek. Correct option is C.
To ensure water quality, it is crucial to assess the presence of various substances in the water samples. While trace minerals are essential to understand the composition of the water and detect any potential contaminants or harmful elements, nutrients also play a significant role.
Nutrients in water refer to substances such as nitrogen and phosphorus, which are essential for the growth and survival of aquatic organisms. However, excessive nutrient levels can lead to water quality issues such as eutrophication, harmful algal blooms, and oxygen depletion. Monitoring and analyzing nutrient levels in surface water samples help identify any imbalances and potential ecological impacts.
The ongoing water chemistry monitoring program at Faimont Chateau Lake Louise collects annual surface water samples from Lake Louise and Louise Creek to ensure the continued evaluation of trace minerals and nutrients. This proactive approach allows for the early detection of any deviations from desired water quality standards, enabling appropriate actions to maintain the ecological health of the water resources.
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What is the slope of the line with point (3,-5) and (-7,10)?
Answers
Answer:
-3/2
Step-by-step explanation:
10 -(-5)/-7-3
15/-10
-3/2
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8
Answers
Answer:
Step-by-step explanation:
The slope of the line is m = -5
4 is your x1
-3 is your y1
Plug into the equation y - y1 = m(x - x1)
y + 3 = -5(x - 4)
y + 3 = -5x + 20
-3 -3
y = -5x + 17
Which of the following is in standard form of quadratic?
Answers
WILL GIVE BRAINLIEST PLZZZZZZ HELP
Ms. Walker used a coordinate plane to plot her students' scores on a recent quiz. She let x represent the number of correct answers they had on their quiz and y represent the number of points earned. She then plotted the ordered pairs (17, 68), (20, 80), and (24, 96) to represent the data from three students. What is the slope of the graph in points per question? A.0.25 B.0.75 C.3.00 D.4.00
Answers
Answer:
m=4
Step-by-step explanation:
to find the slope m take two points : (17,68). (20,80)
m=y2-y1/x2-x1
m=80-68/20-17=12/3= 4
m=4
y=4x
an object dropped from a height of 270 feet will fall according to the equation , where t is measured in seconds, and h(t) is measured in feet. what is the height of the object after 2.3 seconds? feet how long will it take for the object to hit the ground? seconds give your answers as decimal values, accurate to 2 decimal places
Answers
The height of the object after 2.3 seconds is 107.08 feet. It will take 4.62 seconds for the object to hit the ground. The values are accurate to 2 decimal places.
The equation given is h(t) = -16t2 + 270. Since we are looking for the height of the object after 2.3 seconds, we need to replace the value of t with 2.3. So we have h(2.3) = -16(2.3)2 + 270. This simplifies to h(2.3) = -56.89 + 270, which is equal to 213.11. The height of the object after 2.3 seconds is therefore 213.11 feet. To calculate how long it will take for the object to hit the ground, we need to set h(t) = 0 and solve for t. This gives us 0 = -16t2 + 270, which simplifies to 16t2 = 270. Dividing both sides by 16 gives t2 = 16.875, and taking the square root of both sides gives t = 4.06. Since the object is falling, we need to take the positive value of t, which is 4.06. The time it will take for the object to hit the ground is therefore 4.06 seconds. The values are accurate to 2 decimal places, so the time it will take for the object to hit the ground.
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PLEASE HELP!50 POINTS! Brainiest if you know how to do it. I will report you if you're just guessing or very wrong. How do I find the least common denominator in these?
Which of the following is the least common denominator for w-5/w-7 and w+8/3w?
A. 3w (w − 7)
B. w (w − 7)
C. 3w − 7
D. 3(w + 7)
Answers
Answer:
A) 3w(w-7)
Step-by-step explanation:
\(\frac{w-5}{w-7} and \frac{w+8}{3w}\)
w-7 is a binomial, and 3w is a monomial. Because you cannot put one denominator into the other or multiply both denominators by a number when you have this type of difference where multiplying by a number won't get you the same result, you must multiply them each other.
Therefore:
3w(w-7) would be your LCD.
Answer:
A. 3w (w − 7)Step-by-step explanation:
GivenFractions
(w- 5)/(w-7) and (w + 8)/3wTo findCommon denominatorSolutionWe observe that the fractions can't be simplified any more and they are in the simplest form
Next, the denominators w - 7 and 3w don't have common factors
Therefore the common denominator is the product of denominators:
3w(w - 7)Correct option is A
which of the following is the solution to the inequality below?
Answers
Answer:
14≤x
Step-by-step explanation:
-6(x-4) ≤-4(x+1)
Distribute
-6x+24 ≤-4x-4
Add 6x to each side
24 ≤-4x-4+6x
24 ≤ 2x-4
Add 4 to each side
24+4≤2x
28≤2x
Divide by 2
28/2≤2x/2
14≤x
Find the surface area of a square pyramid with side length 6 km and slant height 7 km.
Answers
I believe that’s the answer!
If 6J of work is needed to stretch a spring from 10 cm to 12 cm and another 10J is needed to stertch it from 12 cm to 14 cm, what is the natural length of the spring?
Answers
To solve this problem, we can use the formula for the potential energy stored in the spring:
U = 1/2 k x^2
where U is the potential energy stored in the spring, k is the spring constant, and x is the displacement of the spring from its natural length.
From the given information, we can set up two equations:
6J = 1/2 k (0.02)^2
10J = 1/2 k (0.02)^2 + 1/2 k (0.02)^2
Simplifying the equations, we get:
6J = 0.0002 k
10J = 0.0004 k
Dividing the second equation by the first, we get:
10J/6J = 0.0004 k/0.0002 k
Simplifying, we get:
5/3 = 2
This is not possible, so there must be an error in the problem. Therefore, we cannot determine the natural length of the spring with the given information.
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Find the smallest number by which 1008 must be multiplied to get a perfect square. also, find the square root of the perfect square so obtained
Answers
Answer:
7
Step-by-step explanation:
we have 1008=2×2××2×3×3×3
The smallest whole number is 7, by which 1008 should be multiplied so as to get a perfect square.
Now 1008×7=2×2×2×2×3×3×7×7
7056=2×2×3×7
=84
Answer : 7
Answer:
1. 7
2. square root is 84.
Step-by-step explanation:
First find the prime factors:
1008 =2*2*2*2*3*3*7
There's an even number of 2's and 3's but only one 7, so we multiply by 7
Smallest number = 7.
The square number is 1008 * 7
= 7056.
Its square root is 2*2*3*7 = 84.
The circumference of a pizza is 75 inches. What is the approximate radius of the pizza?
Answers
Answer:
r = 11.94
Step-by-step explanation:
Circumference Formula:
C = 2πr
75 = 2(3.14)r
75 = 6.28r
r = 75/6.28
r = 11.94
What is the interquartile range of the following set
Please help
Answers
Which complex number is equivalent to the given expression?
(-2-3i)(8 + 2i)
A. - 11/34 + 5/17 i
B. - 5/34 + 7/17i
C. - 5/34 - 7/17i
D. - 11/34 - 5/17i
Answers
The correct option is D, the complex number is -11/34 - 5i/17
Which complex number is equivalent to the expression?Here we have the expression:
(-2-3i)/(8 + 2i)
If we multiply both numerator and denominator by the complex conjugate of the denominator we will get:
(-2 - 3i)*(8 - 2i) = -16 - 6 - 24i + 4i = -22 - 20i
(8 + 2i)*(8 - 2i) = 8^2 + 2^2 = 68
Then we can rewrite it as:
(-22 - 20i)/68 = -22/68 - 20i/68 = -11/34 - 5i/17
The corect option is D.
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A fruit juice owner has three types of juices. 320 liters of the first kind, 350 liters of the second kind, 400 liters of the third kind. How many bags with the amount of each juice will he be able to do?
Answers
Three types of juice means 3!
that is ., 3*2*1 =6
He will be able to fill 6 bags with the specified amount of each juice.
In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.
What is a factorial problem?In a factorial, you multiply the supplied integer by all of the positive whole numbers that are less than it. To put it another way, = n (n 1) ... 2 1.The mathematical operation known as a factorial, denoted by the symbol (! ), multiplies a number (n) by each number that comes before it. The factorial function instructs you to multiply all the whole numbers starting at the selected number and going all the way down to one. In further mathematical terms, a number's factorial (n!) equals n (n-1).When a group of variables are independent happenings, a factorial distribution occurs. In other words, there is no interaction between the variables; for two events, x and y, the probability of x remains constant when y is taken into account. Therefore,To learn more about factorial refer to:
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Help me out on this
Answers
Answer:
SO THE VALUE OF FG IS 13
Step-by-step explanation:
we can find FG by subtracting EF FROM EG
FG=EG-EF
FG=25-12
FG=13
I HOPE IT WILL HELP YOU :)
Answer:
13\(given \\ EG = 25 \\ EF = 12 \\ FG=? = \\ EF+ FG= EG\\ or \: 12 + FG= 25 \\ or \: FG = 25 - 12 \\ FG = 13\)
hope this helps..
Good luck on your assignment...
Select the correct answer.
What is the slope of the line represented by the equation f(x) = -3x + 7?
ОА.
-7
OB. 3
O C. 3
OD. 7
Answers
Answer:
The slope should be -3.
Step-by-step explanation:
:)
The slope format is : y=mx+b
The m is always the slope place
please help meeee!!!!
Answers
Answer:
45°
Step-by-step explanation:
The aim of the interior angles of a triangle is 180 so
(6x) + (11x - 1) + (5x + 5) = 180
22x + 4 = 180
22x = 176
x = 8
Therefore, the angles of the triangle are
6x = 48°
11x - 1 = 87°
5x + 5 = 45°
45° is the smallest of the three angles.
The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, which equation solves for n?
S = (n-2) x 180
F. n = s/180 + 2
G. n = 180s + 2
H. n = s+2/180
J. n = (s+2) x 180
Answers
Answer: F. n = s/180 + 2
Step-by-step explanation:
To find the equation that solves for n, we will isolate the n variable.
Given:
S = (n - 2) x 180
Divide both sides of the equation by 180:
\(\frac{S}{180}\) = n - 2
Add 2 to both sides of the equation:
\(\frac{S}{180}\) + 2 = n
Reflexive property:
n = \(\frac{S}{180}\) + 2
F. n = s/180 + 2