Answers
Answer:
[tex]m\angle{W} = {75{^\circ}}[/tex]
[tex]m\angle{Y} = {15{^\circ}}[/tex]
[tex]m\angle{Z} = {90{^\circ}}[/tex]
Step-by-step explanation:
All angles in a triangle must add up to [tex]180{^\circ}[/tex]
First we can use an equation to find [tex]x[/tex]
[tex](x - 15) + (2x - 165) + 90 = 180[/tex]
[tex]3x - 180 = 90[/tex]
[tex]3x = 270[/tex]
[tex]x = 90[/tex]
Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution
[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]
[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]
Now we can classify the triangle
It is right because it has a [tex]90{^\circ}[/tex] angle
These are the answers
- Kan Academy Advanced
Related Questions
The volume of an aquarium is 4,000 cubic feet and has a height of 10 ft. if a similar aquarium has a height of 1 foot, how many cubic feet would the smaller aquarium hold
Answers
The volume that the similar aquarium will hold is 400 cubic feet
Similar figuresSimilar figures are figures that have similar angles and sides.
Given the following parameters
volume of aquarium = 4000 cubic feetheight of aquarium = 10feetheight of similar aquarium = 1 feetRequiredVolume of similar aquarium
Substitute into the formula
V/H = v/h
4000/10 = v/1
400 = v
v = 400 cubic feet
Hence the volume that the similar aquarium will hold is 400 cubic feet
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Emma lends half her collection of anime novels to her friend, Emily. Emma then buys six more novels. If she has 14 books now, how many novels did Sweden have initially?
Answers
Answer:
16
(14-6)×2=16 So initially Emma had 16 books.
Ryan ran 0.5 miles on july 1st. each day
thereafter, he ran 0.3 miles more than the
previous day. find the total number of
miles ran in the month of july.
Answers
Answer:
155 miles
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (2·a1 +d(n -1))(n/2)
__
The number of miles Ryan ran in July is described by the arithmetic series ...
0.5 +0.8 +1.1 +... (a total of 31 terms)
The first term is a1=0.5, and the common difference is d=0.3.
The total number of miles Ryan ran in July is ...
S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155
Ryan ran 155 miles in July.
The following data points represent the number of quesadillas each person at Toby's Tacos ate.
Sort the data from least to greatest.
0,0, 1/2, 1/2, 1/4, 1, 1, 1, 5/4, 2, 2.
What is the interquartile range of this data?β
Answers
The interquartile range for the given data is 1 quesadilla.
What is the interquartile range?The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:
0, 0, 1/4, 1/2, 1/2 (any number less than 1).
There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "
1: 1, 1, 5/4, 2, 2.
Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.
5/4 - 1/4 = 4/4 = 1.
Therefore, the interquartile range is 1 quesadilla.
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A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Answers
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
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1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
Answers
Find the values of the numbers m and n that will make (2x + m)2 = 4x2 + nx + 9 true, given
that both m and n are positive numbers.
Answers
The values of the numbers m and n that makes the given expression true are 3 and 12 respectively
Solving an equationFrom the question, we are to determine the values of the numbers m and n that will make the given expression true
The given expression is
(2x + m)² = 4x² + nx + 9
Opening the bracket on the left hand side,
(2x + m)²
(2x + m)(2x + m)
4x² + 2mx + 2mx + m²
4x² + 4mx + m²
∴ 4x² + 4mx + m² = 4x² + nx + 9
By comparing,
4mx = nx;
Then, 4m = n
and
m² = 9
∴ m = ±√9
m = ±3
Since we are given that both m and n are positive numbers,
∴ m = 3
Substitute the value of m into the equation, 4m = n
4×3 = n
∴ n = 12
Hence, the values of the numbers m and n that makes the given expression true are 3 and 12 respectively
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The nearest-known exoplanet from earth is 4.25 light-years away.
about how many miles is this?
give your answer in standard form.
Answers
Answer:
24 trillion miles. The nearest-known exoplanet is a small, probably rocky planet orbiting Proxima Centauri – the next star over from Earth. A little more than four light-years away, or 24 trillion miles.
The number of miles in 4.25 light-years will be 24.986 × 10¹² miles.
What is conversion?Conversion means to convert the same thing into different units.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The nearest-known exoplanet from the earth is 4.25 light-years away.
We know that 1 lightyear = 5.879 × 10¹² miles.
Then the number of miles in 4.25 light-years will be
⇒ 4.25 light-years
⇒ 4.25 × 5.879 × 10¹² miles
⇒ 24.986 × 10¹² miles
The number of miles in 4.25 light-years will be 24.986 × 10¹² miles.
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What is the slope of the line that passes through the points (-1, 1) and (-1, 4)? Write your answer in simplest form.
Answers
Answer: undefined
Step-by-step explanation:
slope form: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
simply plug in values
[tex]\frac{4-1}{-1-(-1)}[/tex]
[tex]\frac{3}{0}[/tex]
Answer: undefined
you can also tell by realizing both x coords are the same, meaning the line is verticle and verticle lines' slopes are undefined
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or
nelther (If the set is not a relation).
A={(1, 2) (2, 2) (3, 2) (4, 2)
A. Function
B. Relation
C. Neither
Answers
Answer:
C neither
the coordinates shows that only the x intercepts are moving not y the line of the graph will be horizontal and straight . it is not a function
a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answers
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
Find the vertex. f(x) = 9x2 + 1
Answers
Answer:
vertex = (0, 1 )
Step-by-step explanation:
f(x) = 9x² + 1 ← has it's vertex on the y- axis
let x = 0 in f(x)
f(0) = 9(0)² + 1 = 0 + 1 = 1
vertex = (0, 1 )
15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
Answers
Answer: 21599373.37618
Step-by-step explanation:
How many solutions does this system
have?
6x+3y = 9
2x + y = 3
Answers
Answer:
The system of equation has infinite solution.
Step-by-step explanation
2x + y = 3
6x = 9 – 3y
First we re-write the second equation in standard form
So, we add 3y both sides
6x+3y=9 ---------------- (2)
2x+y = 3----------------- (1)
3(2x)+3y = 3(3)
6x+3y=9
6x-6x + 3y-3y = 9-9
0=0
LHS=RHS
This is true statement. If statement is true then infinite number of many solution.
Answer:
infinite
Step-by-step explanation:
acellus
Bag contains fewer than 90 lollipops it is possible to evenly divide all of the lollipops among 2, or 6, or 7 children. how many lollipops are in the bag? list all possible answers
Answers
Step-by-step explanation:
It says the bag contains less than 90 lollipops. If you find an equation that's the closest yet under 90, it would be. …
88 ÷ 2 = 44 per each child
84 ÷ 6 = 14 per each child
84 ÷ 7 = 12 per each child
Because your also making sure to "evenly divide all of the lollipops among 2, or 6, or 7 children."
Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x
Answers
Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?
Answers
Answer:
638 students.
Step-by-step explanation:
girl this is basic math i don’t think i need to explain
(rounding) 0.46. whats the nearest tenth?
Answers
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
11. Evaluate: 5x +1 when x = 2 ? A. -11 C. 6 B. -6 D. 11
help me please
Answers
Answer:
11
Step-by-step explanation:
First, you replace x with 2
5×2+1
Then multiplication comes before addition so 5×2
5×2=10
Then just add the 1
10+1=11
What is the value of log4 superscript 16?
1
2
4
8
answer ASAP
Answers
the simplified form of 6ab + 14a - 2ab + 3a is:
A) 21ab B) 4ab + 11a C) ab + 7a D) 4ab + 17a E) 4 + 17a
the solution to the equation 2x - 3 = 7 is:
A) x = 2 B) x = -5 C) x = 5 D) x = 6.5 E) x = 0.5
the solution to [tex]\frac{x}{3} -1 =4[/tex] is:
A) x = 13 B) x= 7 C) x = 9 D) x = 15 E) [tex]x=\frac{5}{3}[/tex]
the expanded form of 3(2y - 1) is:
a) 6y - 3 b) 5y - 1 c) 6y - 1 d) 6y + 2 e) 3y - 3
an equivalent equation to 5x = 2x + 9 is:
a) 2x = 5 b) 3x = 9 c) 0 = 3x + 9 d) 7x = 9 e) x = 9
the solution to the equation 2(x - 3) = 7 is:
a) x = 5 b) x = [tex]\frac{13}{2}[/tex] c) x = 2 d) x = [tex]\frac{1}{2}[/tex] e) x =[tex]\frac{7}{3}[/tex]
Eli is x years old. his sister is 2 years older. the sum of their ages is 22. a simplified equation to represent this is:
a) x + 2 = 22 b) 2x + 2 = 22 c) 2(x + 2) = 22 d) x(x + 2) = 22 e) 2x = 22
if A = [tex]\frac{1}{2}[/tex]bh with A = 360 and h = 40, then the value of b is:
a) 90 b) 4.5 c) 20 d) 18 e) 9
Answers
Answer:
2) x=5
4) 6y-3
Step-by-step explanation:
2) 2x-3=7
Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)
Now your equation is 2x=10
Divide 2 from both sides
2x/2 cancel each other and 10/2 is. Therefore, x=5
4) 3(2y-1)
3 times 2y is 6y
3 times -1 is -3 (negative times positive is negative)
Equation: 6y-3
The volume of the prism is 275 cm³ the area of the base of the prism is 25 square centimeters what is the height of the prism
Answers
Answer:
11
Step-by-step explanation:
volume of a prism = area of base × height
plug in what we are given
volume = 275cm³area of base = 25cm²275 = 25 × height
==> divide both sides by 25
11 = height
Which would indicate the water in a lake is not safe for drinking
Answers
Answer:
The water in a lake is not safe for drinking, high turbidity levels in the lake Coliform bacteria occur innately in soil and in the intestines of humans and other organism.
CORRECT ANSWER: high turbidity levels in the lake.
Step-by-step explanation:
Find the area of a circle with an arc length of 4π and a central angle of 45 degrees. Leave the answer in terms of π.
Answers
[tex]~~~~~~\text{Arc length} = r \theta \\\\\implies 4\pi = r\left( 45 \times \dfrac{\pi}{180} \right)~~~~~~~~;[\theta ~ \text{is in radians.}]\\\\\implies 4 = \dfrac{45r}{180}\\\\\implies 45r = 180 \times 4 = 720\\\\\implies r = \dfrac{720}{45}\\\\\implies r = 16~ \text{units.}\\\\\text{Now,}\\\\\text{Area} = \pi r^2\\\\~~~~~~~=\pi \cdot 16^2\\\\~~~~~~~=256\pi~ \text{units}^2[/tex]
17. A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip
can be described by the vector (-26, -12).
What is another description of this vector using distance (for magnitude) and direction?
about 29 miles at 25° south of west
about 25 miles at 29° south of east
about 29 miles at 25° south of east
about 25 miles at 29° south of west
Answers
By finding the magnitude and bearing, we conclude that the correct option is:
"about 29 miles at 25° south of west"
How to write the vector in polar coordinates?For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.
Such that:
[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]
In this case, the original vector is (-26, -12), replacing that we get:
[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]
Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.
Then we can describe this vector as:
"About 29 miles at 25° south of west".
The first option is the correct one.
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Nick has a rope that is 3 1/4 yards long. He cuts off a piece of the rope so that it is now 5/9 as long as the original rope? What is the length of his rope now?
Answers
The length of the rope remaining after Nick cut off a piece of the rope is 1 29/36 yards
How to solve fractionsTotal length of Nick's rope = 3 1/4 yardsLength remaining = 5/9 of original length
5/9 of 3 1/4
= 5/9 × 13/4
= 65/36
= 1 29/36 yards
Therefore, the length of the rope remaining after Nick ncur off a piece of the rope is 1 29/36 yards
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how many pop tarts come in a pop tart?
Answers
Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answers
Answer:
I don't know how to explain
Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid
Answers
Answer: C
Step-by-step explanation:
Because there are two pairs of opposite parallel sides, it is a parallelogram.
Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.
write 13/20 fraction to percent
Answers
13/30 -> (Percentage) is : 65%