If a triangle cannot have the given angle measures, write a new value for the first angle in the box so that the angle measures form a triangle.
Answers
The original value for the first angle so that the angle measures form a triangle is 39.5°
Interior angles of a triangleFor any triangle to be formed, its three interior angles must sum up to 180°. Thus the sum of the interior angles of a triangle is 180°
Considering, the angles: 115.1°, 47.5° and 93°, their sum which is 255.6° is not equal to 180° so they cannot form a triangle.
but a new value represented by x for the first angle 115.1° can be derived as follows;
x + 47.5° + 93° = 180°
x + 140.5 = 180° {subtract 140.5° from both sides}
x = 180° - 140.5°
x = 39.5°
Therefore, the new value for the first angle 115.1° that will make the angle measures form a triangle is 39.5°
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Related Questions
Find the percent change from the first value to the second. Round to the nearest percent.
92; 23
Answers
Answer:
Step-by-step explanation:
23-92 = -69
-69/92 = -0.75 = -75%
15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help
Answers
A radar unit tracks a target which may use interference. If the target does not employ interference, then during on surveillance cycle the unit may detect it with probability p0. If it employs interference, then the unit may detect it with probability p1 < p0. The probability that the interference will be used in one cycle is p and does not depend on the way and time the interference was used in other cycles. Find the probability that the target will be detected at least once in n surveillance cycles.
Answers
Answer:
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Step-by-step explanation:
For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. This means that the binomial probability distribution is used to solve this question:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of detecting a target:
p0 of 1-p (without interference)
p1 of p(with interference). So
[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]
Find the probability that the target will be detected at least once in n surveillance cycles.
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Alice has 2 pennies, 3 nickels, 4 dimes, 4 quarters and 1 loonie in her pocket. If one coin is drawn randomly, what is the theoretical probability of getting a quarter?
Answers
Step by step: there are 14 coins and only 4 quarters so 4/14
The intersection of three lines at one point and the measures of three angles are shown in this figure.
Answers
Answer:
D. 2x+71=180
Step-by-step explanation:
Six angles are represented, three are marked. The six angles add up to 360 (360 degrees in a circle). We know that the sum of all the marked angles equals 180, because each marked angle has an equal, unmarked, vertically opposite angle, and half of 360 is 180. Therefore we can write:
76+(x-5)+x=180
2x+71=180
Select the correct answer. What is the range of function m? m(x) = √x - 3 + 1
Answers
Answer:
i think it is b
Step-by-step explanation:
The range for m is [3, ∞)
What is function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
m(x)= √(x- 3) + 1
For x= 0
m(0) = √(-3) + 1
m(0) = √3i + 1
So, m ≠ 0, 1, 2 because it leads to imaginary value.
Thus, m ≥ 3
i.e., m=4
m(3)= √3-3 + 1= 1
and, m(4)= √(4- 3)+ 1 = 2
Hence, the range for m is [3, ∞)
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Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and
Answers
Given, to find A we have to :
square mAdd y to m²Subtract 7 from m² + yFrom the question, the following equation can be formed :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Therefore, the formula for finding A = m² + y - 7
Solution (2) :The value of A we can derive from the formula is :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Value of m = 3 (given)
Which means :
[tex] =\tt A = {3}^{2} + y - 7[/tex]
[tex] =\tt \: A = 9 + y - 7[/tex]
[tex] =\tt A = 9 - 7 + y[/tex]
[tex]\color{plum} =\tt A = 2 + y[/tex]
Thus, the value of A = 2+y
Therefore, the value of A = 2+y
GIVING BRAINLIEST Use the inequality 186< -3 (4x - 2).
a.Solve the inequality for x.
b. Which graph shows the solution to the inequality?
Answers
Answer:
x < -15
Step-by-step explanation:
I solved the inequality but i don't know if that was what you were asking for lol, if not sorry.
A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much money they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which of the following is true? Group of answer choices
a. The mean and median will increase.
b. The mean will increase, but the median will remain the same.
c. The mean will stay the same, but the median will increase.
d. Both the mean and median will remain the same.
Answers
Answer:
Option B, The mean will increase, but the median will remain the same.
Step-by-step explanation:
Given
Mean value is [tex]31.52[/tex] dollars
Median Value is [tex]32[/tex] dollar.
Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.
Here the mean is 31.25
Total money would be [tex]31.25 * 25 = 781.25\\[/tex]
A number is changed from 2 to 20 , i.e addition of 18 dollars
the new mean would be 781.25 + 18/25 = 31.97
However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.
Option B is correct
Find the perimeter and area of the semi circle
Answers
Answer:
Step-by-step explanation:
Perimeter of a semicircle with diameter d = πd/2 + d
how many thirds are in 8/3
Answers
Answer:
There are 8 thirds in 8/3
There are 2 wholes in 8/3 as well
8/3 converted to a decimal is 2.7 rounded to the nearest tenth (so 2.6 repeated)
Step-by-step explanation:
1) An item has a regular price of x dollars. It is being sold at a 40% discount. Write two
expressions that could be used to determine the sale price.
Answers
Answer:
Step-by-step explanation:
Your answer
Price = x dollar. Discount = 40%
Discount price is 0.4x
Net price = x-0.4x= 0.6x
Mark it as Brainlist answer. Follow me.
Can someone help me with a two step equatio that is x=3
Answers
Answer:
ok
Step-by-step explanation:
ya
help me
Give the approximate measurement of the following objects by using the appropriate
measuring tool:
1) Length of the blackboard
2) Weight of a pineapple
3) Weight of 5 notebooks
4) Length of the door
5) Volume of used mineral water
Answers
Answer:
Step-by-step explanation:
I used SI system for units
1)meter
2)kilogram
3)kilogram
4)meter
5)Litre
Can someone help I’m confused
Answers
One-third of a number added to itself equals 3 times the difference of the number and seven.
Answers
Answer:
Step-by-step explanation:
Do this step by step.
Let the number = x
1/3 of a number = 1/3 x
Added to itself 1/3x + x
=
3*(x - 7)
So the equation is
1/3x + x = 3(x - 7) Remove the brackets. Collect 1/3x and x
4/3 x = 3x - 21 Multiply both sides by 3.
4x = 3*(3x - 21) Remove the brackets again
4x = 9x - 63 Subtract 9x from both sides
-5x = -63 Divide by -5
x = -63/-5
x = 12.6
Which angle is a corresponding angle to 8?
Answers
Answer:
angle 1 (the last option)
Step-by-step explanation:
hope this helps!
Find the Perimeter and Area
Answers
Answer:
Area = 20.28 cm^2
Perimeter = 16.28 cm
Step-by-step explanation:
The figure is composed of a half circle and a rectangle,
The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.
Therefore the area is :
Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2
The perimeter is :
Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm
Sam is four years older than his brother. The sum of their ages is 24. How old is
each brother?
Answers
Answer: the brother is 10
Step-by-step explanation:
Answer:
sam is 14 his brother is 10
Step-by-step explanation:
if sam us 4 years older than his brother then sam has to be atleast 10 therefore his brother would be 10
2
Find the quotient when x + 11x + 18 is divided by
x +9
Answers
Answer:
(12x + 18)/(x+9)
Step-by-step explanation:
We have: (x + 11x + 18)/(x+9). First simplify this equation by adding like terms.
(12x + 18)/(x+9), which is your answer. This is the final answer because we can't simplify this expression anymore.
4 3
10 x 2.43 = 10x2++
10 100
100)
Answers
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
hope i can help bbg / bbb :
) !!!
according to the rules of significant figures 1.25*200=300
will give brainliest pls
Answers
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
The diagram below shows the branching tree diagram for humans. The text box below it shows the set of derived shared characteristics for the branching tree.
A slanting, horizontal line is shown. On the extreme left, there is a label that says, Common Ancestor. Along the slanting, horizontal line there are five dots labeled from left to right as 1, 2, 3, 4, and 5. There is one vertical line between each of the consecutive five dots. The lines are labeled from left to right as Perch, Frog, Pigeon, Rats, and Human. A text box below the branching tree diagram is labeled Derived Shared Characteristics. In the box it says from left to right, Terrestrial during all stages, Jaws, Walking on two legs, Mammary glands and hair, and Four limbs.
Look at the possible derived shared characteristics, shown in the text box. Think about where these should be placed along with the branching tree diagram. From the text box, select a shared derived characteristic that humans and rats have. Explain why you think humans and rats share this characteristic?
Answers
Answer:
Humans' and rats' incisors are larger than their other teeth, though humans' incisors are only marginally larger. They perhaps share this characteristic to help them adapt to an omnivorous diet.
Step-by-step explanation:
Find the equation of this line
Answers
Answer: y=1x+1
Step-by-step explanation:
Rise/Run = 1/1 = 1 = slope
y-intercept : 1
Answer:
y=-2x+1 is the answer
Step-by-step explanation:
95% of 7-year-old children are between inches and inches tall.
Answers
45 and 53 are the correct answers on edge.
Answer:
45 and 53, i got it right on edge
Which number line shows the graph of x 11
Answers
Answer:
The second one
Step-by-step explanation:
Since the equation is X is greater than or equal to 11, because of the line under it, the "or equal to" it is a closed dot. (If it didn't have that line under it, it would be an open dot.) And, how I like to explain which way the blue arrow goes, the ">" kind of looks like the tip of an arrow, so the blue arrow should go the same way. For example, ">" seems like an arrow going this way "-->", or "<" seems like an arrow going this way "<--"!
Answer:
B, is the correct option.
Step-by-step explanation:
because x is greater than or equal to 11.
you are working to save money for a trip. you need to save 1500. if you already have 250 saved, and make represent how many hours, h, you need to work to make the rest of the money show your work
Answers
Answer:
Step-by-step explanation:
$1500-$250 = $1250
You need to save an additional $1250.
The question did not include a pay rate.
Suppose you earn x dollars an hour.
$1250 × (1 hour)/($x) = (1250/x) hours
You need to work 1250/x hours.
is y = -x3 + 4 linear or non linear
Answers
Answer:
It is a linear equation
[tex] \sqrt{2536} [/tex]
Answers
Answer:
50.35
Step-by-step explanation:
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the
paltem in the table?
Does anyone know the answer for this ?
Answers
Answer:
A. c = 60 / p
Step-by-step explanation:
If p=2, the equation would read... c = 60 / 2, which mean c = 30. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.