A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
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there are answer choices !
Answer:
1
Step-by-step explanation:
m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁
m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1
The equation for this relationship is
y = x + 5
Simplify the expression.
7(9k + 2m)
Answer:
=63k+14m
Step-by-step explanation:
=(7)(9k+2m)
=(7)(9k)+(7)(2m)
The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.
Answer:
46,691
Step-by-step explanation:
Given that:
Initial population, P = 51000
Decreasing rate = 1.75% = 0.0175
Time, t = 5 years
Using the relation :
A (t) = Po * ( 1 - r)^t
A(t) population after t years
Po = Initial population figure
r = rate of decrease
A(t) = 51000 * (1 - 0.0175)^5
A(t) = 51000 * (0.9825)^5
A(t) = 51000 * 0.91550937355400390625
A(t) = 46690.9780
Hence, population after 5 years will be : 46,691
1/3 divided by 4 = what
Answer:
1/12
Step-by-step explanation:
I divided
What is the value of 80 + 57
Answer:
137
Step-by-step explanation:
Add 80 and 57.
Which two numbers have a mean of 10 and a range of 4?
NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING
the answer would be 12 and 8
Evaluate the following using
powers of ten rules.
9.4326
x 100
Answer: 943.26
Step-by-step explanation:
9.4326
x 100
------------
943.26
Factor out the coefficient of the variable term.
The expression 0.15c – 0.072 factored is
please help!!
Answer:
Step-by-step explanation:
Dookie
-2x + y = 1.3
2(0.5x - y) = 4.6
Answer:
x=-2.4
y=-3.5
Step-by-step explanation:
I need help, It is a written problem
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Answer: 90946.55
Step-by-step explanation:
The required amount after 20 years would be $90946.55.
Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.
Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.
Here,
According to the question,
The amount after 20 years is given as,
[tex]y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55[/tex]
Thus, the required amount after 20 years would be $90946.55.
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A tree is 4. feet tall. It is expected to grow by 1 feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answer:
37 years
Step-by-step explanation:
Answer:
36 years
Step-by-step explanation:
it would take 36 years to reach the height of 40 feet. I know this because it is already 4 feet and needs to grow 36 feet and if it is growing at a rate of 1 foot per year then it would take 36 years
What is the PERCENT DECREASE: 1) PRINCETON: December - 50 January - 40 2) WORCESTER: December - 256 January - 197 3) CHICAGO: December - 7050 January - 6708
Answer: See explanation
Step-by-step explanation:
PRINCETON:
December - 50
January - 40
Decrease = 50 - 40 = 10
Percentage Decrease = Decrease/Original value × 100
= 10/50 × 100
= 20%
2) WORCESTER:
December - 256
January - 197
Decrease = 256 - 197 = 59
Percentage Decrease = Decrease/Original value × 100
= 59/256 × 100
= 23.05%
3) CHICAGO:
December - 7050
January - 6708
Decrease = 7050 - 6708 = 342
Percentage Decrease = Decrease/Original value × 100
= 342/7050 × 100
= 4.85%
Kerr is going to pack 9 baby carrots, 12 crackers and 18 grapes into lunch boxes . How many of each food item will there be in a lunch box if she packs the items into the greatest number of indentical lunch boxes
Answer:
3 baby carrots, 4 crackers and 6 grapes
Step-by-step explanation:
Given
[tex]Baby\ Carrots = 9[/tex]
[tex]Crackers = 12[/tex]
[tex]Grapes = 18[/tex]
Required
Determine the number of each food item in a lunch box
First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18
[tex]9 = 3 * 3[/tex]
[tex]12 = 2 * 2 * 3[/tex]
[tex]18 = 2 * 3 * 3[/tex]
The GCF is:
[tex]GCF = 3[/tex]
This implies that the number of lunch boxes is 3.
If there are 3 lunch boxes:
3 baby carrots will go into each lunch box because 3 * 3 = 9 4 crackers will go into each lunch box because 4 * 3 = 126 grapes will go into each lunch box because 6 * 3 = 18Someone help with this please
Answer: B
Step-by-step explanation: B is in slope-intercept form
How can you write a linear function in the form y=mx + b by using the two points given below (0,-2), (2,6)
Answer:
y = 4x - 2
Step-by-step explanation:
m = y-y/x-x
m = 6-(-2)/2-0
m = 8/2
m = 4
Answer:
y=4x-2
Step-by-step explanation:
what are the roots of the equation -3x + 19 = -x^2+1
Answer:
(3 ± 3√7i)/2Step-by-step explanation:
-3x + 19 = -x^2+1x^2 - 3x + 19 - 1 = 0x^2 - 3x + 18 = 0x = (3 ± √9 - 72)/2 x = (3 ± √-63)/2x = (3 ± 3√7i)/2It has no real solutions and two complex roots
I need help solving this practice question
Answer:
B
Step-by-step explanation:
SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)
Help pls ill mark brainliest
Answer:
I believe its 108°
Step-by-step explanation:
as it's a pentagon I looked up the angle of the top of a pentagon and found 108°
the question is in the picture. will give brainilist
Step-by-step explanation:
if s.p.=rs210,profit percent =8%c.p.=rsx and find cp
Solve for a
PLS HURRY
Answer:
I guess it is d
Step-by-step explanation:
make it braintliest please
Answer: D
Step-by-step explanation:
This would be my answer, I think im right but I'd wait on someone else just to be sure.
Which expression represents the height of the pyramid? StartFraction 3 V Over y squared EndFraction units (3 V minus y squared) units (V minus 3 y squared) units StartFraction V Over 3 y squared EndFraction units
Answer:
Height = 3v/y² units
StartFraction 3 V Over y squared EndFraction units
Step-by-step explanation:
The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units
Volume of a solid right pyramid = 1/3 × area of the base × height
Volume of a solid right pyramid = v units³
Area of the base = y² unit²
Volume of a solid right pyramid = 1/3 × area of the base × height
v = 1/3 × y² × height
Height = v ÷ 1/3 × y²
= v × 3/1y²
= (v × 3) / y²
= 3v / y²
Height = 3v/y² units
StartFraction 3 V Over y squared EndFraction units
Answer:
B
Step-by-step explanation:
What does the question mark stand for in the following when you factorise:
4d3 + 6de =? (2d2 +3e
Answer:
Question mark stands for 2d
Step-by-step explanation:
Here, we want to get what the question marks stands for
As we can see, the left was factorized to give the right
So, we have that ;
4d^3 + 6de = 2d(2d^2 + 3e)
so the question mark stands for 2d
(2y^3-5y^2-4)-(4y^3+11y^2-3y+5)
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
70 is 40% of what number?
oh oh i had this question jn leh me find it !!!
Answer: 175
Step-by-step explanation:
If you take 100(as a percentage) and divide it by 40, you get 2.5, 70x2.5 is 175
Simplify e⁰. answer it please
(-3, -6) translated 6 units up
Answer: y= 4x + 6 Not sure but hope this help
Step-by-step explanation:
Answer: (-3, 0)
Step-by-step explanation:
I am including a picture that explains. Hope this helps!