Answers
Answer:
C) x = 50°
Step-by-step explanation:
In this figure, you can find x by first finding the three angles of the triangle and then applying the Vertical Angle Theorem. First, you need to find the angle in the top right. You can do this by subtracting 95 from 180 since 95 and the missing angle are supplementary:
180 - 95 = 85°
Now, you know two of the angles in the triangle: 85° and 45°. The angles of a triangle add up to 180°; you can use this knowledge to find the triangle's third angle:
85 + 45 + t = 180 (where t is third angle)
130 + t = 180
t = 50°
Now that you know the measure of the third angle, you can apply the Vertical Angles Theorem to find x. The Vertical Angles Theorem states that if two lines intersect, the vertical angles are equal. x is the vertical angle pair for the 50° angle, and therefore x must equal 50°.
Hey there!
To solve this, we can use the linear pair theorem for the 95 degree angle and the missing angle next to it. That gives us 85.
Next, we can use the angles sum theorem for a triangle, and solve for the angle across from x. That gives us 50.
Lastly, we can use the vertical angles theorem, which shows us that x is equal to the angle opposite from it, or 50.
For more information see https://brainly.com/question/22663173
Have a terrificly amazing day! :D
Related Questions
A population of a city is 30 000 and decreases 3% each year. If this trend continues. what will the population be after 10 years?
Answers
Answer:
22123
Step-by-step explanation:
→ Find the multiplier
3% decrease = 0.97
→ Multiply the population by the multiplier which is to the power of years
30000 × 0.97¹⁰ = 22122.7 = 22123
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answers
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
HURRY PLEASE Find the values of a and b that make the second
expression equivalent to the first expression.
Assume that x>0 and y> 0.
126xy5
32x3
63Y5
axb
a =
b =
DONE
Answers
Answer:
A= 16 B= 2
The second part is B
HELP PLEASE I NEED TO BRING UP MY GRADE!!!!!!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
Answer: c
Step-by-step explanation:
You roll a die 10 times. Find the probabilities for how many times it will land on six. Write yiur answers in decimal form to 8 places.
P(0)= ____
P(1)= ____
P(2)= ____
P(3)= ____
P(4)= ____
P(5)= ____
P(6)= ____
P(7)= ____
P(8)= ____
P(9)= ____
P(10)= ____
What is the most likely number of times out of 10 rolls that the die will land on six? ____
Answers
Answer:
dont mind me
Step-by-step explanation:
Solve for x solve for x
Answers
46 + 4x - 2 + 9x + 6 + 8x - 5 = 360
21x + 45 = 360
21x = 315
x = 15
Let me know if you have questions.
Answer:
15
Step-by-step explanation:
The sum of angles around a point is added up to 360°.
Accordingly,
4x - 2 + 9x + 6 + 8x - 5 + 46 = 360
Combine like terms.
21x + 45 = 360
Subtract 45 from both sides.
21x = 360 - 45
21x = 315
x = 15
Calculate the missing measure in the triangle 35º and 85º
Answers
Answer:
60º
Step-by-step explanation:
180º-35º-85º=60º
find area will mark brainlist
Answers
Answer:
I hope this helps you
Step-by-step explanation:
A = 1/2 h (a+b)
= 1/2 × 8 (15+21)
= 1/2 × 36 × 8
= 36×4
= 144
Answer:
29
Step-by-step explanation:
18+15=23 8+21=29
Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions. How much will be in the account after 18 years?
Answers
Answer:
$5,708.68
Step-by-step explanation:
A= 2000(1+6/100)¹⁸
write an equation of the line that passes through the given points (3,1) (0,10)
Answers
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
There is a 0.9987 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $186 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below.
Answers
Parts a through c is missing and it is;
a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?
The value corresponding to surviving the year is $_____.
The value corresponding to not surviving the year is $_____.
b) If the 33-year-old male purchases the policy, what is his expected value?
The expected value is $_____.
c) Can the insurance company expect to make a profit from many such policies? Why?
_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.
Answer:
A) the value that corresponds to surviving the year = - $186
The value corresponding to not surviving the year = $99814
B) μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
Step-by-step explanation:
A) The company charges $186 for insuring. Thus;
Amount paid out = - $186
Therefore, the value that corresponds to surviving the year = - $186
Therefore, the value corresponding to not surviving the year = $100000 - $186
The value corresponding to not surviving the year = $99814
B) since probability that a 31 year old male survives is 0.9987, then;
Probability that a male doesn't survive is;
P(doesn't survive) = 1 - 0.9987
P(doesn't survive) = 0.0013
The expected value is calculated from;
μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)
μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
What is the sum of the interior angles of a regular polygon with 42 sides?
Answers
Answer:
42
Step-by-step explanation:
A regular polygon with 42 sides where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.
You are given a Regular Polygon with 42 sides. What are the interior angles and exterior angles?
If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?
n = 42
Perimeter of a polygon with 42 sides = (side length) x 42 = 84 units
Area of a polygon with 42 sides = (n x Side2 x cot (Π/n))/4 = (n x 22 x cot (Π/42))/4 = 560.45 square units
Sum of the interior angles of a polygon with 42 sides = (n-2) x 180 degrees = (42-2) x 180 degrees = 7200 degrees
Interior Angle of a polygon with 42 sides = (n-2) x 180/n degrees = (42-2) x 180/42 degrees = 171.42 degrees
Exterior angle of a polygon with 42 sides = 180 - Interior Angle = 180 - 171.42 = 8.57 degrees
Inradius = Radius of In-circle = (side length) x cot (Π/42) = 2 x cot 4 = 26.68 units
Circumradius = Radius of Circum-circle = (side length) x cosec (Π/42) = 2 x cosec 4 degrees = 26.76 units
Symmetry Group = D42 42 rotational symmetries and 42 reflection symmetries. The "D" stands for di-hedral.
Find the average of the following numbers:
2,4,6 and 8.
Pls help asap
Answers
Answer:
5
Step-by-step explanation:
( 2 + 4 + 6 + 8) / 4 = 5
Step-by-step explanation:
2+4+6+8=20
numbers of digits=4
average=sum of observation/numbers of observation
average=20/4=5
MARK ME AS A BRAINLIST, sister
Apply the Pythagorean Theorem to find the distance between points A and B
Answers
How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answers
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
It’s a word search
I’ll appreciate it even if you find one
—-Don’t put random stuff just to get points it’s rude——-
I’ll give brainliest if you can find the most
Words can be vertical, horizontal, diagonal, and backwards
Answers
Step-by-step explanation:
rational. meter. greek
I'll try to find.
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answers
Answer:
false
true
true
false
.......
I need help pls!!!!!!!!!!!!!
Answers
Please help me its very urgent!
Answers
Answer:
there are no solutions
Step-by-step explanation:
What is the value of x?
o 14
o 15
0 16
0 17
Answers
Step-by-step explanation:
[tex]70 \div 5 = 14[/tex]
Helllohello help please if you want -
Answers
3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e
i need help solving the paint questions
Answers
For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)
Find the side length of a square with
area 16/49 square inches.
Answers
This is where we get the term "square root".
s2 = 49
take the square root of each side
s = 7
The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]
Given the following data:
Area of a square = [tex]\frac{16}{49}[/tex] square inches.To determine the side length of this square:
In this exercise, you're required to solve for the length of the sides of a square that has an area of [tex]\frac{16}{49}[/tex] square inches.
Formula for the area of a square.Mathematically, the area of a square is calculated by using the formula;
[tex]A=S^2[/tex]
Where;
S is the length of each sides of a square.Substituting the value into the formula, we have;
[tex]\frac{16}{49}=S^2[/tex]
Taking the square root of both sides, we have;
[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]
Read more on area of a square here: https://brainly.com/question/16758129
A football team played 90 matches. They won 37 matches.
They drew 1/9 of their matches.
What fraction of their matches did they lose?
Answers
Answer: 44 matches
Step-by-step explanation:
Let's take the given information
They won 37 matches
1/9th of their matches resulted in a draw
1/9 out of 90 is 9
You can take 90/9 and you will get 9
Now let us add 37+9 and you get 47
Now take 90-47
44 Matches lost
22/45 or 44/90
7=2z+6
Please explain the answer too.
Answers
Answer: z = 1/2
Step-by-step explanation: subtract 6 from both sides to get 2z=1 divide both sides by 2, you get z = 1/2 check by inputting 1/2 for z
2(1/2)+6= 7
1/2 of 2 is 1
1+6=7
it checks out :)
Answer: z= 1/2
explanation:
if 7=2z+6, z would be 1/2, because 2 times 1/2=1. then 6+1 s equal to 7
Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?
Answers
Answer:
96 cookies.
Step-by-step explanation:
I don't love the wording of the question, but here's what I see:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 36
Cookie total: 96
-----------------------------------------------------
I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.
If 96 is the wrong answer, then try:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 60
Cookie total: 120
Find the distance between two points (-4,9) and (-2,1)
Answers
Answer:
√ 178
Step-by-step explanation:
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
Answers
1500+5%= 1505 that is the answer I got I hope this was helpful
please answer thanks xoxo will mark brainliest
Answers
Answer:
22) 20000000
23) 0.034
24) 0.0000000015
25) 59000000000
26) 0.0048
27) 625000
Step-by-step explanation:
If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks
Answers
=150
Answer:
D 150 thats easy multiply or add