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Answer:
angles (W, X, Y) = (77°, 62°, 41°)
Step-by-step explanation:
Given:
ΔWZY
∠W = 2(∠Y) -5°
∠X = ∠Y +21°
Find:
∠X, ∠Y, ∠W
Solution:
Using angle measures in degrees, we have ...
∠X + ∠Y + ∠Z = 180
(∠Y +21) +∠Y + (2(∠Y) -5) = 180
4(∠Y) +16 = 180 . . . . . simplify
∠Y +4 = 45 . . . . . . . . . divide by 4
∠Y = 41 . . . . . . . . . . . . subtract 4
∠W = 2(41) -5 = 77
∠X = 41 +21 = 62
The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.
Determine the point of intersection of right bisectors in a triangle ∆ABC with vertices A (-3, 5), B (1, 1) and C (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.
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Answer:
intersection: (-3 2/3, 1/3)distances to vertices: (10/3)√2Step-by-step explanation:
A) In order to write the equations of the perpendicular bisectors of the segments, we need to know the midpoint and the slope.
The midpoint is the average of the coordinates:
midpoint(A, B) = ((-3, 5) +(1, 1))/2 = (-3+1, 5+1)/2 = (-1, 3)
midpoint(A, C) = ((-3, 5) +(-7, -3))/2 = (-3-7, 5-3)/2 = (-5, 1)
The differences between the coordinates of the points can be helpful:
B-A = (1, 1) -(-3, 5) = (1+3, 1-5) = (4, -4) . . . . . reduces to (∆x, ∆y) = (1, -1)
C-A = (-7, -3) -(-3, 5) = (-7+3, -3-5) = (-4, -8) . . . . . reduces to (∆x, ∆y) = (1, 2)
_____
A line through point (h, k) perpendicular to one with (∆x, ∆y) can be written:
(∆x)(x -h) +(∆y)(y -k) = 0
Then the bisectors of AB and AC will be ...
(x +1) -(y -3) = 0
(x +5) +2(y -1) = 0
Their intersection point can be found by solving this system.
(x +2y +3) -(x - y + 4) = (0) -(0) . . . . . subtract the 1st equation from the 2nd
3y -1 = 0
y = 1/3
x = y -4 = -3 2/3
The point of intersection of the right bisectors is (x, y) = (-3 2/3, 1/3).
__
B) The intersection point is the circumcenter. It will be the same distance from any of the vertices.
That distance can be found using any of the vertices. Using point B, we find the distance to be ...
d = √((-3 2/3 -1)^2 +(1/3 -1)^2) = √((14/3)^2 +(2/3)^2) = √(200/9)
d = (10/3)√2
The distance to each vertex is (10/3)√2 ≈ 4.71.
y=4x+25 find the domain of the function and if it discrete
Answer:
f(x)=xf(x)=x , g(x)=2xg(x)=2x
f(x)=5f(x)=5 , g(x)=xg(x)=x
Step-by-step explanation:
not sure but still,
-11/2 divided by 12/5.
Answer:
Exact Form:
−55/24
Decimal Form:
−2.2916...
Mixed Number Form:
−2 7/24
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
13X + 8 = 50 , what is 12x + 8
Answer:
4(3x + 2)
Step-by-step explanation:
Rewrite 8 as 4 x 2
Rewrite 12 as 4 x 3
= 4 x 3x + 4 x 2
= 12x + 8
The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object when looking through a periscope? The periscope –
A. contains mirrors that reflect the object
B. magnifies small objects so they can be seen
C. absorbs the light rays passing through it
D. separates the light into different colors
Answer: A. contains mirrors that reflect the object
Step-by-step explanation:
A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.
Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.
Find an expression which represents the difference when (-3x-4y) is subtracted from (x+6y) in simplest terms
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Answer:
4x +10y
Step-by-step explanation:
Indicate the subtraction, use the distributive property, collect terms.
(x +6y) -(-3x -4y) = x +6y +3x +4y
= (x +3x) +(6y +4y)
= 4x +10y
Answer:
2y - 4x
Step-by-step explanation:
equation: x + 6y - 3x - 4y
combine like terms: x -3x + 6y - 4y
add/subtract: -4x + 2y
switch: 2y - 4x
I hope this helped, please mark Brainliest, thank you so much!!
Where can i buy ps5
Answer: You can go online and type ps5 and it will get shipped to you. Or you can check Target, Bestbuy, Gamestop and etc.
Step-by-step explanation:
Answer:
gamestop or online!!
Step-by-step explanation:
hope this helps!!
HELP ME THIS IS THE LAST ONE
Answer:
100,000m
Step-by-step explanation:
find the square root of 100 squared +1,000squared
How many halves are in 8/10
Answer:
1 half with 3/10 left over.
Step-by-step explanation:
1/2 is also 5/10, so that means that there is one 5/10 is 8/10, with 3/10 left over
Whats -4 + 3x=8x-9+3
Answer:
=2/5
Step-by-step explanation:
Can someone help me with the questions in the picture??
Answer:
16.) The store bought 816 light bulbs
17.) The total savings of Mr. Wilson after he buys the tickets is $268
Answer:
oki so the answer for the other question is 9. 1,100 and 10. 2,920
Step-by-step explanation:
Solve the problem involving consecutive integers.
If three times the smaller of two consecutive integers is added to four times the larger, the result is 109. Find the smaller integer.
A. 14 B. 45 C. 15 D. 16
Answer:
c.15
Step-by-step explanation:
smaller integer=x
larger integer=x+1
3x+4(x+1)=109
3x+4x+4=109
7x+4=109
7x=105
x=105/7
x=15
check:
3(15)+4(15+1)=109
45+64=109
(-3,7), (3,3) write in standard form
Answer:
3x−y=2
Step-by-step explanation:
The elevation of a toy glider changes by -19.5 centimeters in 3 seconds.
What is the rate of the toy glider's change
in elevation?
Answer:
Basically do -19.5 divided by 3
The answer is -6.5
Step-by-step explanation:
Hope that helps :)
The rate of change in elevation is approximately -6.5 centimeters per second.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find the rate of change in elevation, we need to divide the change in elevation by the time it took to change.
The change in elevation is -19.5 centimeters (we use a negative sign to indicate the decrease in elevation).
The time it took to change is 3 seconds.
Therefore, the rate of change in elevation is:
rate of change = change in elevation / time
rate of change = -19.5 cm / 3 sec
rate of change ≈ -6.5 cm/sec
So the rate of change in elevation is approximately -6.5 centimeters per second.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
What is the initial cost of the car?
The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he fills the tank, her dad records the miles on the truck as 15,345. Her dad pays $53.28 to fill up the empty gas tank of the truck. What is the size of the truck's tank in gallons if it cost $3.33 per gallon? Round your answer to the nearest whole number. Be sure to include the correct units in your final answer. *
Answer:
The size of the tank is 16 gallons
Step-by-step explanation:
Here, we want to calculate the size of the gas tank of the truck
we simply divide the total amount spent by the price per gallon
Mathematically, that will be;
53.28/3.33 = 16 gallons
If I deposit $ 800 in a savings account at 6% interest compounded annually, and if I make no withdrawals or deposits for 4 years, how much will I have in my account at the end of 4 years?
Answer:
$992.00
Step-by-step explanation:
Where:
I = P x r x t
P is the principal amount, $800.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 800 × 0.06 × 4 to get that:
The interest is: $192.00
Usually, now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 800.00 + 192.00 = 992.00. For example:
If you borrowed the $800.00, you would now owe $992.00
If you loaned someone $800.00, you would now be due $992.00
If owned something, like a $800.00 bond, it would be worth $992.00 now.
Use the graph below to answer the question. Quadrilateral PQRS will be rotated 90° clockwise about the origin resulting in quadrilateral P'Q'R'S'. Which statement is true
Answer: it’s D
Step-by-step explanation:
HELPPPPP ASAPPPPPP PLS
Answer:
B The relationsip does not represent a function because for one x-value, there is more than one y-value
Step-by-step explanation:
Need help ASAP Integrated math 2
Answer:
∠ C
Step-by-step explanation:
sin C = 14 / 50 = 7 / 25
Answer:
<C
Step-by-step explanation:
7/25 = 14/50
sin X = opp/hyp = 14/50
opp = 14
The angle whose opposite leg is 14 is <C.
Answer: <C
Factor the Expression. 121x + 44 *
11(10x + 4)
21x + 4
11(11x + 44)
11(11x + 4)
i like chicken nuggets
Answer:
what the heck is this
Step-by-step explanation:
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) What is the distance from the sun to Venus written in scientific notation?
• [Please make sure to include your units]
(b) What is the diameter of a human hair written in scientific notation?
• [Please make sure to include your units]
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Step-by-step explanation:
It is given that,
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) In scientifc notation, the distance from the Sun to Venus will be :
There are 8 numbers before 1. It means
d = 1.08 × 10⁸ km
(b) In scientific notation, the diameter of a human hair will be :
There are 3 numbers after decimal. It means
D = 2.5× 10⁻³ mm
(c) Before comparing two measurements, both values must be converted into the same units.
Since, 1 mm = 10⁻⁶ km
D = 2.5× 10⁻³ × 10⁻⁶ km
= 2.5 × 10⁻⁹ km
For comparison divide the distance from the Sun to Venus and the diameter of a human hair.
[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]
Hence, this is the required solution.
Jennifer has already driven 160 miles on her trip to her grandparents house for every hour she travels she drives an additional 55 miles which equation represents the relationship between the Total miles driven y,and the number of hours ,x.
Answer:
y = 55x + 160
Step-by-step explanation:
The computation of the equation that represents the relationship between the total miles driven y and the number of hours x is shown below:
she starts at 160 miles so it would be y-intercept
So the equation form would be
"b" in y = mx + b
where,
m = 55
and b = 160
Therefore the equation would be
y = 55x + 160
The same is to be considered
Lines b and c are parallel. What is the measure of angle 6?
Answer:
I think
Step-by-step explanation:
it is answers is m is 117
Colleen is searching online for airline to tickets. Two weeks ago, the cost to fly from denver to Boston was $250. Now the cost is $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price
Answer:
[tex]follow \: me \: please[/tex]
[tex]A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason[/tex]
Step-by-step explanation:
A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason
Answer:
Step-by-step explanation:
13%
Mushrooms are healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for $8.75. Marco buys a 3.75- oz container of mealworms for $9.75. Which container is a better buy?
Answer:
Adam's container
Step-by-step explanation:
Given
Adam
[tex]Weight = 3.5\ oz[/tex]
[tex]Amount = \$8.75[/tex]
Macro
[tex]Weight = 3.75\ oz[/tex]
[tex]Amount = \$9.75[/tex]
Required
Determine the better buy
First, we need to determine the unit cost per oz of each
i.e.
[tex]Unit\ Cost = \frac{Amount}{Weight}[/tex]
For Adam:
[tex]Unit\ Cost = \frac{8.75}{3.5}[/tex]
[tex]Unit\ Cost = 2.5[/tex]
For Marco:
[tex]Unit\ Cost = \frac{9.75}{3.75}[/tex]
[tex]Unit\ Cost = 2.6[/tex]
The better buy of both is the one with the smaller unit cost.
Since 2.5 < 2.6, we can conclude that Adam's container is a better buy
Mya creates the
table below to
show how much
fruit to put in her
shake. How much
fruit should she
use if she is
making 5 servings?
Simplify – 36 + (–3) + 2(27 + 3 X 2)
A
B
21
48
108
252
worth 45 points pls
Answer:
-36+(-3)+2(27+6)
-36+(-3)+2(33)
-36-3+66
-39+66
27
Answer:
27
Step-by-step explanation:
PEMDAS
– 36 + (–3) + 2(27 + 3 X 2)
-39+ 2(27 + 3 X 2)
-39+2(27+6)
-39+2(33)
-39+66
27
Hope this helped!!
Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11
Answer:
10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000
Two parallel lines are crossed by a traversal. What is the value of b?
b=32
b=52
b=118
b=128
Answer:
b = 128 answers it is alternate angle
Answer:
C). b=118
Step-by-step explanation:
took the test on edge