Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.
[tex]m\angle 1=90^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]
[tex]155^\circ+m\angle 2=180^\circ[/tex]
[tex]m\angle 2=180^\circ-155^\circ[/tex]
[tex]m\angle 2=25^\circ[/tex]
Therefore, the correct option is C.
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.
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.
A die is rolled 3. What is the probability of getting a 1 on the first roll, a 2 on the second roll, and a 3 on the third roll
Answer:
The probability of getting 1,2 and 3 after rolling once , second and thrice is
1/6
Step-by-step explanation:
These are all independent events.
The sample space = [1,2,3,4,5,6]
A die has 6 sides
1. If this die is thrown once, the probability of getting a 1 is = 1/6
2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6
3. If we rolled a 3rd time the probability remains 1/6 also
x: y = 8:1
Which is the correct equation?
A. y=8x
B. x=8y
C. y=7x
Answer:
B. x=8y
Step-by-step explanation:
X*1=y*8
X=8y
I hope so that i help you
Brainliest if correct
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please help ASAP!
Two
angles, ZJ and ZK are supplementary. The measure of ZJ is (2x+5)°. The
measure of ZK is (3x-10)°. What is the measure of ZK?
Answer:
ZK = 95 degrees
Step-by-step explanation:
Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.
ZJ + ZK = 180
Our first objective: find the value of x
(2x + 5) + (3x - 10) = 180
2x + 5 + 3x - 10 = 180
Combine like terms
5x - 5 = 180
Add 5 to both sides to isolate variable x
5x = 175
Divide both sides by 5 to isolate variable x
x = 35
Plug in x value for ZK expression
3(35) - 10
Use PEMDAS
105 - 10
95
Is (a + b) and (a - b)? perfect square trinomials?
O True
O False
Answer:
False
Step-by-step explanation:
Pos and negs cannot be perfect square trinomials
Need help asap will give brainlest whatever it is call
I NEED HELP Tiffon makes a 35% commission on the websites that he sells to businesses. If he sells $3,500 worth of websites, what is his commission?
HELP giving brainlest and more points
Answer:
[tex]8^{-5}[/tex]
Step-by-step explanation:
[tex](8^{-8})(8^3)\\8^{-5}[/tex]
Exponent equation:
3 - 8 = -5
So this the remaining exponent
Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
What is the answer?
Answer:
1) 189.25 square inches
2) 21 square feet
Step-by-step explanation:
1) In order to find the area of a semicircle, you use (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25
2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21
HELP ME PLEASE..... i really need it asap
Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$
Step-by-step explanation:
80 / 5 = 16
50 / 3 = 16.666
25 points! Please show work for brainlest answer
Answer:
x² - 10 + 2x = 2x + 90
x² - 10 + 2x - 2x = 2x - 2x + 90
x² - 10 = 90
x² - 10 + 10 = 90 + 10
x² = 100
square root them both and you get x = 10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The Picture
(2-3)(x-3X2)
Which is the simplified form of the expression
(4-2)(x4) )
?
4x2y 16
4
2..16
X
4
1
14
4
14,8
Answer:
9x³-9x²+2x
Step-by-step explanation:
Let the expression be given as
(2-3x)(x-3x²)
Expand
= 2(x)-2(3x²)-3x(x)-3x(-3x²)
= 2x - 6x² -3x²+9x³
Rearrange
= 9x³-6x²-3x²+2x
= 9x³-9x²+2x
Hence the simplified form of the expression is 9x³-9x²+2x
solve the following equation -3(3 + 6b) = 36 +3b
Answer:
Exact Form:
b=-5/7
Decimal Form:
b=-2.142857
Mixed Number:
b=-2 1/7
Quadratic function Murder in a Hotel
Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm
Answer
128.86
Step-by-step explanation:
The box is 11x12 so 132.
The circles area is 3.14, or
A = πr^2 = π·1^2 ≈ 3.14159
So 132-3.14 is 128.86
how long does it take to go and come from a kroger because my dad went to go get baby formula for me and im now 13 should i be worried orrr....
Plz help me! And no links!
Answer:
hi
Step-by-step explanation:
Factor x2 − 8x + 9.
(x − 9)(x − 1)
(x + 9)(x + 1)
Prime
(x + 9)(x − 1)
Answer:
x²-8x+9
Step-by-step explanation:
Answer:
The answer is Prime
Step-by-step explanation:
Attached photo for proof
What's 0.016 as a fraction
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2/125
Explanation:
I hope this helped!
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- Zack Slocum
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Answer:
16/1,000
Understanding place values:
The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.
Step-by-step explanation:
1. Convert 0.016 into a fraction:
0.016 = 16/1,000
2. Simpilfy the fraction 16/1,000:
16/1,000 ÷ 8 = 2/125
2/125 is equivalent to 0.016
Side Note: Step 2. is only for people looking for the simplified answer!
~Hope this helps!
~Hocus Pocus
There are 15 counters. One-third of the counters are yellow . How many counters are yellow?
Answer:
5
Step-by-step explanation:
15 counters/3groups=5 counters per group
The daily advertising revenue (in dollars) for a local newspaper is given by the function R(t) = -18t2 + 720t – 103, where t is number of years that the paper has been in production. What is the daily advertising revenue after the paper has been in business for 15 years?
Answer:
6647
Step-by-step explanation:
The computation of the advertising revenue for 15 years is shown below:
Given that
r(t) = -18t^2 + 720t - 103
where
t = number of years = 15
now put the value of t in the above equation
= -18(15)^2 + 720(15) - 103
= -4050 + 10,800 - 103
= 6647
Please help! Due soon
Answer:
its 2/6
Step-by-step explanation:
is y+7=2x a direct variation
Answer:
No, y+7=2x does not represent direct variation
Step-by-step explanation:
No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.
y = 2x represents direct variation; y = 2x - 7 does not.
Solve each equation b+3.3=8.9 what is b?
the answer will be 5.6 !
you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.
please mark brainliest if this was useful ♡
Need help ASAP plz. Right answer plz.
que fait 2au carré plus 5
Answer:
The answer is 9.
Step-by-step explanation:
2 squared = 4
4 + 5 = 9
What is the number in What is 95% of 60
Answer:
57
Step-by-step explanation:
57 is 95% of 60
(See image below for more information)
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Convert the following description to a proper scale ratio:
3 cm represents an actual distance of 15 m.
Answer:
1:500
Step-by-step explanation:
3cm:15m
1cm:5m
1cm:500cm
1:500
no photo??
how do u want me to help u when there's nothing