in the diagram, PSR is a straight line. Calculate the value of X and Y.
(easy questions :) HELPPPPPP !!!!
Answers
Answer:
x = 56 degrees, y = 32 degrees
Step-by-step explanation:
The Isosceles Triangle Theorem (ITT) tells us that if there are two sides of a triangle that are congruent, then the base angles of this triangle are congruent (angles opposite the congruent sides).
Let's focus on Triangle PQS first. We have the acute angle 68° and want to find x. Due to the ITT, we know that the other missing angle must also equal x.
Therefore, we can create an equation where the interior angles of Triangle PQS will add up to 180, because all interior angle measures of a triangle add up to 180 degrees.
68 + x + x = 180Combine like terms.
68 + 2x = 180Subtract 68 from both sides of the equation.
2x = 112Divide both sides the equation by 2.
x = 56We have found that x = 56 degrees, and now we need to find y. We can do so by using the information we have already found. Since we have found the two angles x of Triangle PQS, we can find ∠QSR in Triangle QSR by using the idea that angles that make up a straight line must add up to 180 degrees.
Therefore:
∠PSQ + ∠QSR = 180We have found that ∠PSQ = 56, so substitute this value into the equation.
56 + ∠QSR = 180Subtract 56 from both sides of the equation.
∠QSR = 124Now we can use the fact that all interior angle measurements of a triangle add up to 180 degrees, and since we have 2 angle measures of Triangle QSR, we can create an equation to solve for y.
124 + 24 + y = 180Combine like terms.
148 + y = 180Subtract 148 from both sides of the equation.
y = 32We have found x = 56 degrees and y = 32 degrees.
Answer:
X= 56 °Y= 32 °Hope this helpsRelated Questions
A store owner discounted some canoes from $76 to $38. What is the discount, as a percentage?
Answers
Answer:
50.00%
Step-by-step explanation:
if 1 apple cost 3 dollars how much would 5 cost?
Answers
Answer:
It would be 15
Step-by-step explanation:
because 5x3 equals 15.
Answer:
15 dollars
Step-by-step explanation:
because you have to multiply how many apples there are to how much each one cost. So the answer would be 5 x 3 equals 15 dollars
The volume of air in a balloon is represented by the function v(n) = nr), where r is the radius of the balloon, in
inches. The radius increases with time, in seconds, by the function r(t) = 4,2. Which statements are true?
Answers
Answer:
When V is composed with r, the composite function is [tex]\frac{1}{48} \pi t^{6}[/tex]
When Vr6 shows that the volume is 9724. When the radius is increased to 6 inches.
Step-by-step explanation:
Volume is determined by [tex]cm^{3}[/tex] if the balloon is filled with air its volume will be increased and the composite function will represent the volume of the balloon. The radius of the balloon will rise in seconds. If t seconds are consumed to reach to a radius of 6 inches then the pie function is used to determine the volume.
c is opposite___
AC
AC and BC
Answers
Answer:a=bc
Step-by-step explanation:
over evaluate function
Answer:
C. hope it helps :)
Step-by-step explanation:
TRUE OR FALSE? The difference between two numbers is (-3). WHICH OF THE EXPRESSIONS COULD REPRESENT THE SUBTRACTION PROBLEM? (HINT: Solve each expression - if it equals (-3) it is TRUE - if it does NOT equal (-3) than it is FALSE) REMEMBER: Change subtraction problem into addition problem before solving. A) -4 - 1
Answers
Answer:
A) True
Step-by-step explanation:
[tex]-4,-1[/tex]
If we subtract the two numbers we get
[tex]-4-(-1)=-4+1=-3[/tex]
It can be seen that subtracting the two numbers changes the sign of one number by which we can algebraically subtract the numbers. Since, the addition of 1 shifts the number towards zero in the number line, the minus sign still remains.
So A)-4 -1 is true.
The sum of three consecutive odd integers is 18 less than five times the middle number fimd the three integers
Answers
Answer:
7, 9, 11
Step-by-step explanation:
x+x+2+x+4=5(x+2)-18
3x+6=5x+10-18
3x+6=5x+-8
3x=5x+-14
-2x=-14
x=7
Perform the indicated operation
3/4 divided by 1/3
Answers
Answer:
2 1/4
Step-by-step explanation:
3/4 ÷ 1/3 = ?
(to divide fractions faster you flip the second fraction so:)
3/4 x 3/1 = 2 1/4
What is the additive inverse of the polynomial
9xy² + 6x²y -5x
Answers
Answer:
-9xy² - 6x²y + 5x
Step-by-step explanation:
The additive inverse of a polynomial is simply defined as the same polynomial but the difference is that the signs attached to each of the terms will change. This means that positive sign will change to negative while negative sign will change to positive.
Now, we are given the polynomial;
9xy² + 6x²y - 5x
Thus, from earlier description, additive inverse of this polynomial is;
-9xy² - 6x²y + 5x
Help! Whats the answer
Answers
Answer:
its c
Step-by-step explanation:
One-half of a number x is equal to the sum of two and
the same number & . Find the value of x.
Answers
Answer:
x=-4
Step-by-step explanation:
This is the equation you can write (assuming you meant "the same number x"):
1/2x=2+x
x=4+2x
-x=4
x=-4
In an inequality, -2.5 is the lesser number. What is the position of the other number on the horizontal number line in relation to -2.5?
Answers
Answer:
It would be to the right of -2.5.
Step-by-step explanation:
Pleas help I am brainliesting and explain please
Answers
Answer:
-2.63 is bigger
Step-by-step explanation:
-2 5/7 is the same as -2.71428571428...
and when you compare a negative the smaller number is always greater than the bigger number because it is negative.
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.
Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?
Answers
Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
[tex]P(t) = P_0e^{kt}[/tex]
at t = 5 years, P(t) = 2P0
substitute:
[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]
Hence the population of the community after 10 years is approximately 23,746
Help plz Easy math I know the answer isn’t A
Answers
Answer: B
Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.
Help me guys I suck at fractions :(
Answers
Answer:
its b are c i think
Step-by-step explanation:
What is the value of x?
A) 42
B)48
C)138
D)158
Answers
Answer:
138 I think
Step-by-step explanation:
math go brrr
What is the product of 5/11 and 3/4
Answers
Answer:
15/ 44
Step-by-step explanation:
just multiply across
5 x 3 = 15
11 x 4 = 44
= 15/44
Answer:
[tex]\frac{15}{44}[/tex]
I hope this helps!
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE i'll give you brainliest
When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?
Answers
1.333...percent
Hope it helps
Please help me and answer that ??
Answers
Answer: A. 7/21 = 1/x
Step-by-step explanation: 7/21 = 1/3 so x would be 3.
Complete the equation of the line whose y-intercept is (0,6) and slope is 3
Answers
Answer:
y= 3x+6
Step-by-step explanation:
the equation to use for this problem is y= mx+b
m is the slope (3) and b is the y-intercept (0,6)
let's plug those numbers into the equation.
y= 3x+6
Hope this helps!
Find the focus and directrix of the parabola with the given equation. y^2-4x=0
Answers
Answer:
directrix: x=-1
focus: (1,0)
Step-by-step explanation:
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs
170 lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1300 lb. How many boxes
of books can the delivery person bring up at one time?
Answers
Answer:
18 at most.
Step-by-step explanation:
Help please!!!!!! I can’t figure it out.
Answers
Answer:
A.) parallel
Step-by-step explanation:
they are on opposite sides, and will never touch.
Hope I helped!! :)
two times a number is four times that number minus a negative eighteen
Answers
Answer:
-9
Step-by-step explanation:
the number is x
2x = 4x - - 18
2x = 4x + 18
-2x = 18
x = -9
Answer:
-9
Step-by-step explanation:
Let's solve your equation step-by-step.
2x=4x−(−18)
Step 1: Simplify both sides of the equation.
2x=4x+18
Step 2: Subtract 4x from both sides.
2x−4x=4x+18−4x
−2x=18
Step 3: Divide both sides by -2.
−2x/−2
= 18 /−2 x
=−9
The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years? an arithmetic series a geometric series a series that is neither arithmetic nor geometric a series that is both arithmetic and geometric
an arithmetic series
a geometric series
a series that is neither arithmetic nor geometric
a series that is both arithmetic and geometric
Answers
Answer:
a geometric series
Step-by-step explanation:
The sum of 48 and itself, its half and half of the half is added to 18.
Answers
Answer:
150
Step-by-step explanation:
This is a word problem which should be tackled accordingly.
The sum of 48 and itself
= 48+48
= 96
It's half and half of its half
= 48/2 and (48/2)/2
= 24+ 24/2
= 24+12
= 36
Is added to 18
= 96+36+18
= 150
From the description above the entire sum is 150.
please help
Which values of k would cause this system of equations to have no solution? Check all that apply.
6x + 4y = 14,
3x + 2y = k
-2
5
7
10
21
Answers
Answer:
a , b , d , e
Step-by-step explanation:
I got this wrong can someone, please help me with this.
Answers
You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.
If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.
The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1
The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1
1 = 1, so these lines are parallel
Mrs. Olen wants to join a gym. Francis Lewis Gym charges a new member fee of $150 plus $10 each month. Clintonville Gym charges a new member fee of $50 plus $35 each month.
Answers
Answer:Step-by-step explanation:
a. Let x = number of months
Amount charged by Francis Lewis Gym = 150 + 10x
Amount charged by Clintonville Gym = 50 + 35x
Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months
150 + 10x = 50 + 35x
Collect like terms
150 - 50 = -10x + 35x
100 = 25x
Divide both sides by 25
100/25 = x
4 = x
Answer: 4 months
b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.
Amount charged by Francis Lewis Gym = 150 + 10x
= 150 + 10(2)
= 150 + 20
= $170
Amount charged by Clintonville Gym = 50 + 35x
= 50 + 35(2)
= 50 + 70
= $120
She should join the Clintonville Gym if she plans to join a gym for 2 months.
Answer: Clintonville Gym
Help plz I need it ASAP give poinys
Answers
Answer:
1 4/5
Step-by-step explanation:
Download photogmath
Answer:
1 7/8
Step-by-step explanation:
9÷4 4/5
=9÷24
=9/1×5/24
=
9×5
-----------
1×24
=45/2
15/8=1 7/8
