Which reason justifies statement 2?
A) Vertical angles are congruent
B) Corresponding angles are congruent
C) Alternate interior angles are congruent
D) Alternate exterior angles are congruent
Answers
Answer:
C. Alternate interior angles are congruent
Step-by-step explanation:
<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.
Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".
Related Questions
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answers
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answers
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Which graph shows a proportional relationship between the number of hours of renting a boat and the total amount spent to rent the boat?
Answers
Answer:
Its B
Step-by-step explanation:
What is the factored form of x3 + 216?
A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)
Answers
Answer:
now using the formula (a-b) (a2+ab+b2)=a3-b3
=>x3-63
x3-216#answer
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The cubic polynomial is given below.
⇒ x³ + 216
Then the cubic polynomial is written as,
⇒ x³ + 6 × 6 × 6
⇒ x³ + 6³
We know that the formula of a³ + b³ is given as,
a³ + b³ = (a + b)(a² – ab + b²)
Compare the expression, we have a = x and b = 6. Then the expression will be
x³ + 6³ = (x + 6)(x² – 6x + 6²)
x³ + 6³ = (x + 6)(x² – 6x + 36)
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).
Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5
If x + y = 5, then x =
1. 5y
2. 5+y
3. 5 - y
Answers
Write an inequality that represent the following sentence and SOLVE. Be sure to show work on binder paper for credit.
the sum of y and 8.1 is less than 24.
Solution after solving:
Answers
Answer:
y+8.1<24
Step-by-step explanation:
Sum of= addition
y+8.1
less than is <
<24
Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9
Answers
Answer:
y = 2x + 6
slope = 2
y intercept = 6
Which multiplication expression is equal to 2/5÷2/3?
Answers
Answer:
2/5 × 3/2
I hope this helps!
Rewrite the expression in the form b^n
Answers
Answer:
b 15/4
Step-by-step explanation:
How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.
Answers
Plz mark brainliest
Eric went on a 11,150km trip. he travelled the firsy 7574 kilometre by train and the rest of the trip by car. if he took 12 days to complete the second part of his trip by car, what was the mean distance he drive each day ?
Answers
Answer:
298
Step-by-step explanation:
please make brainest thx
graph 3x-2y=6 how do you graph this in algebra
Answers
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
10x+7y=-3 and 5x-y=3
Answers
Step-by-step explanation:
{
x
=
1
y
=
4
Explanation:
Take a look at your starting system of equations
{
5
x
+
y
=
9
10
x
−
7
y
=
−
18
Notice that if you multiply the first equation by
(
−
2
)
, and add the right-hand sides and the left-hand sides of the equations separately, you can eliminate the
x
-term.
This will leave you with one equation with one unknown,
y
.
{
5
x
+
y
=
9
∣
⋅
(
−
2
)
10
x
−
7
y
=
−
18
{
−
10
x
−
2
y
=
−
18
10
x
−
7
y
=
−
18
---------------------------------------------------
−
10
x
−
2
y
+
10
x
−
7
y
=
−
18
+
(
−
18
)
−
9
y
=
−
36
⇒
y
=
(
−
36
)
(
−
9
)
=
4
Now use this value of
y
in one of the two original equations to find the value of
x
5
x
+
(
4
)
=
9
5
x
=
5
⇒
x
=
5
5
=
1
2(5x−2)− 2x -2 =34
Solve for x
Answers
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answers
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
To know more about an expression follow
https://brainly.com/question/11096532
#SPJ2
The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?
Answers
Answer:
The other number is 5/9.
Step-by-step explanation:
16/3 = 48/5 * x
x = 5/9
1. Write an expression for 8 less than 2
times a number.
Answers
Answer:
8<2x
Step-by-step explanation:
Answer:
8<2x
Step-by-step explanation:
I hope this helped! :D
is 4.23x10^-5 greater than 1 or less than 1? explain how you know
Answers
Answer: Less than 1
Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423
which is less than 1.
Answer:
less than 1
Step-by-step explanation:
4.23 * 10^5 is less than 1
Witch variable represents the y intercept
Answers
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answers
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
plz give me brainliest i need it plz
True False x-sqrt6 is a factor of x^4-36
Answers
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
Answers
Plug three into the equation 3(3) + 3 =12
6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1
Answers
Please help me I need help?!!!
Answers
Answer:
B
Step-by-step explanation:
What type of equation is -1/2y=1/2x+5
Answers
Answer:
Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:
Step-by-step explanation:
I really need help with this one
Answers
Answer:
a=70 b=.16 c=350
Step-by-step explanation:
50 messages is 8 dollars
a bowl of grapes has a total mass of 265 grams. The bowl has a mass 121 grams
Answers
Answer:
144 grams
Step-by-step explanation:
Im assuming you want to mass of grapes, do total mass subtracted by the mass of the bowl
Divide 3 divided by 2/5
7
7 1/5
7 1/2
8
Answers
Anthe answer is x times (6)7x10)-1(3)
Step-by-step explanation:
What is the equation of the line that passes through the point (4, -8) and has a
slope of -12
Answers
question below please answer
Answers
Answer:
the awenser is D
Step-by-step explanation:
took the test lolz