name each angle in four ways. then classify each angle as acute, right, obtuse, or straight.
Answers
∠ABC
∠CBA
∠B
∠1
Acute: 4, 5
Right: 1
Obtuse: 2, 6
Straight: 3
_____
Note that only angle 1 is known to be a right angle, because it is marked as such. The others appear to have a particular measure, but since they don't have any specific indication of their measure, the appearance cannot be taken at face value. (We suspect you're supposed to use the appearance to answer this question, but don't get in that habit.)
In this geometric scenario, angles are named and classified. Angle 1 is a right angle, angle 3 is a straight angle, angles 2 and 6 are obtuse, while angles 4 and 5 are acute.
Let's name each angle in four ways and classify them:
Angle ABC (B is 90 degrees):
1 (as labeled)
∠ABC (using the vertex B)
∠CBA (using the vertex C)
∠1 (angle 1)
Classification: Right angle
Angle DEF (E is also labeled as 2):
2 (as labeled)
∠DEF (using the vertex E)
∠FED (using the vertex F)
∠2 (angle 2)
Classification: Obtuse angle
On line LN with point M (labeled as 3):
3 (as labeled)
∠LNM (using the vertex N)
∠MNL (using the vertex M)
∠3 (angle 3)
Classification: Straight angle
Angle XYZ (Y is also labeled as 4):
4 (as labeled)
∠XYZ (using the vertex Y)
∠ZYX (using the vertex Z)
∠4 (angle 4)
Classification: Acute angle
Angle KLM (L is also labeled as 5):
5 (as labeled)
∠KLM (using the vertex L)
∠MLK (using the vertex M)
∠5 (angle 5)
Classification: Acute angle
Angle RSP (S is also labeled as 6):
6 (as labeled)
∠RSP (using the vertex S)
∠PSR (using the vertex P)
∠6 (angle 6)
Classification: Obtuse angle
So, to summarize:
Right angle: 1
Obtuse angles: 2, 6
Straight angle: 3
Acute angles: 4, 5
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Related Questions
What is the square root of 25p^3 expressed in simplified form?
Answers
I would rather to help 6th and 7th grade math
Answers
Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the quarters he saved to the amount with which he started. At the end of day 2, Greg had a total of 26 quarters saved. At the end of day 5, he had a total of 35 quarters saved.
A. How many quarters does Greg start with? Show or explain your work.
B. Write an equation to model the number of quarters Greg has saved, y, after x days.
C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.
Answers
Final answer:
Greg started with 20 quarters. The equation for the number of quarters saved after x days is y = 20 + 3x. With Greg's savings rate of 3 quarters per day, he cannot have exactly 100 quarters on any day since 100 is not a multiple of 3 plus the 20 starting quarters.
Explanation:
To determine how many quarters Greg started with, let 's' be the number quarters Greg started with, and 'd' be the number of quarters he saves each day. After 2 days, he had a total of 26 quarters saved, and after 5 days, he had a total of 35 quarters saved. These can be written as two equations:
s + 2d = 26s + 5d = 35Subtracting the first equation from the second gives:
3d = 9
From which we find that d = 3 (Greg saves 3 quarters a day). Plugging this value back into the first equation:
s + 2(3) = 26
s + 6 = 26
s = 20
Greg started with 20 quarters.
B. The equation to model the number of quarters Greg has saved, y, after x days is:
y = 20 + 3x
C. With the savings rate of 3 quarters a day, Greg's total will always be a multiple of 3 plus the 20 he started with. 100 is not a multiple of 3, meaning he can never save exactly 100 quarters by the end of any given day since 100 minus the 20 quarters he started with leaves 80, which is not divisible by 3.
Final answer:
Greg started with 20 quarters and saves 3 quarters every day afterward. The equation to model the number of quarters saved after x days is y = 20 + 3x. It is impossible for Greg to have exactly 100 quarters saved by the end of any given day because 100 cannot be reached by adding multiples of 3 to the starting amount of 20 quarters.
Explanation:
To solve for the number of quarters Greg started with and the number of quarters he saves each day, we can set up a system of equations. Let's designate q as the number of quarters Greg started with and d as the number of quarters he saves each day. From the problem, we have two points of data: On day 2, Greg has 26 quarters, and on day 5, he has 35 quarters.
The equations representing these two data points are:
q + 2d = 26q + 5d = 35Subtracting the first equation from the second gives us:
3d = 9
Dividing both sides by 3 gives us:
d = 3
Now that we have the value for d, we can substitute it back into the first equation:
q + 2(3) = 26
q + 6 = 26
Subtracting 6 from both sides gives us:
q = 20
Greg started with 20 quarters.
For the equation to model the number of quarters saved, y, after x days, we have:
y = q + dx
This simplifies to:
y = 20 + 3x
To address part C, let's analyze the possibility of Greg having exactly 100 quarters saved. If we set y to 100 in the equation y = 20 + 3x and solve for x, we get:
100 = 20 + 3x
80 = 3x
x = 80/3
x ≈ 26.67
Since x must be an integer because Greg cannot save a fraction of a day, he cannot have exactly 100 quarters by the end of any given day. This is because 100 is not a multiple of 3 (the daily amount Greg saves) when starting from 20. Thus, it's impossible for Greg to have exactly 100 quarters saved by the end of any given day.
What is the circumference of the circle? Round your answer to the nearest foot
Answers
Where "C" is circumference and "d" is diameter.
Substituting your values in, we have:
Which, when rounded, is 37.7.
thats my work but when you do your work for your question you get 78.58 and you would round to the nearset tenth and you get 78.5
Hope this helps:) please mark branliest would really apperciate it thx
whats a prime number
Answers
A prime number is a number that can't be divided by any whole number but one.
For example, 3, 7, 11, and 29 are prime numbers because they can't be divided by a whole number (excluding 1).
Hope this helps!
Please help meeeeeeeee
Answers
2*22=44
:) I hope this helps!
What is the average speed in miles per hour of a car that’s travels 956.4 miles in 15.9 hours? Round the answer to nearest tenth , explain step by step how to solve it
Answers
rounded = 60.2
It takes 24 cups of chicken broth to make chicken soup recipe. How much is this in quarts?
Answers
is 2x-5y=0 a direct variation
Answers
Answer: Yes
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.
Using the given information, which statement is true?
The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
The two triangles are not similar because the interior angles are congruent but the side lengths are different.
The two triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle with a measure 70°.
Answers
We know that the triangles are not similar. If they were, they would have the same angles. The interior angles are not congruent. We can rule out choice "B" and "C".
Just because they have one equal angle does not make them similar. We can rule out "D".
"A" is the best answer.
I hope this helps!
~kaikers
The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In △ABC has interior angles with measures x°, 100°, and 70°,
And, △DEF has interior angles with measures y°, 70°, and 50°.
Hence, Measure of x is,
x + 100 + 70 = 180
x + 170 = 180
x = 180 - 170
x = 10
And, Measure of y is,
y + 70 + 50 = 180
y + 120 = 180
y = 180 - 120
y = 60
Thus, The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
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HELP ASAP!!!
1: What is the surface area of a sphere with a radius of 4 meters rounded to the nearest square meter
A: 50 m^2
B: 101 m^2
C: 201 m^2
D: 268 m^2
2: What is the volume of a sphere with a radius of 6 meters rounded to the nearest square meter?
A: 905 m^3
B: 679 m^3
C: 452 m^3
D: 226 m^3
Answers
the surface area of the sphere can be calculated using the following equation
Area = 4πr²
where r = radius
π = 3.142
radius of the sphere = 4 m
substituting radius in the area equation
Area = 4 x 3.142 x 4²
= 201.08 m²
when rounded off to nearest sq.meter , 201.08 ≈ 201
answer is C. 201 m²
Q2)
volume of the sphere can be calculated from the following equation
V = 4/3 πr³
radius of sphere = 6 m
π = 3.142
V = 4/3 x 3.142 x 6³
= 904.8 m³
rounded off to nearest sq. meter
904.8 ≈ 905 m³
correct answer is A
i need to find the area
there are 3 rectangles and a trapezoid
show how plz
Answers
20 x 5 = 100
100 yd²
15 x (20-14) = 90
90 yd²
14 x 10 = 140
140 yd²
The area of a trapezoid is 1/2(b1+b2)h
In this problem:
b1=25-15-5
b1=5
b2=10
h=20-14
h=6
We can then plug this into the formula:
A = 1/2(5+10)(6)
A = 1/2(15)(6)
A = 45 yd²
We can then get the area of the whole polygon by adding up the areas of the three rectangles and trapezoid:
A = 100+90+140 + 45
A = 375 yd²
A sign in front of a roller coaster says ''you must be 40 inches tall to ride'' what percentage of this height is A 34 inches and B 54 inches. Please answer both questions if you can.
Answers
34/40 x 100 = 85%
Percentage of B
54/40 x 100 = 135%
Ans: A) 85% B) 135%
I need help figuring out when to use law of sine or law of cosine?
These are some examples of problems.
Please Help!
Answers
when you have two sides and angle between them, this is law of cos, problem 6,8
problem 7 you can use both, but if you can use both better to use law of sin, it is just easier
Final answer:
Use the law of sines when you have two angles and one side, or two sides and a non-inclusive angle. Use the law of cosines when you have two sides and the included angle or all three sides. Apply trigonometric identities for vector addition and resolving forces.
Explanation:
Deciding when to use the law of sines or the law of cosines depends on the information given in a triangle problem. The law of sines is most useful when you know either two angles and one side (AAS or ASA) or two sides and a non-enclosed angle (SSA). The law states that the ratio of the length of a side to the sine of its opposing angle is consistent for all sides and angles in a triangle, often written as a/sin A = b/sin B = c/sin C.
The law of cosines is handy when you have either two sides and the included angle (SAS) or when you have all three sides (SSS). This law relates the lengths of the sides of a triangle to the cosine of one of its angles, following the formula c² = a² + b² - 2ab cos C.
For vector addition problems or when decomposing forces into components, trigonometric identities involving sine and cosine are employed. If you're resolving a weight into components, you may use sine to find the component opposite the angle and cosine for the component adjacent to the angle.
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our current rate by at least 16% to meet this quarter's goal."
Employee: "That means our target is __________ consumers retained."
Answers
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261.
4. 261 is your final answer
Using proportions, it is found that the correct sentence is:
"That means our target is 261 consumers retained."Decreased 10% from last quarter's goal of 250 consumers retained, hence, the number of customers is:
[tex]0.9(250) = 225[/tex]
The current rate has to be increased by 16%, hence, the goal is:
[tex]1.16(225) = 261[/tex]
Hence, the sentence is:
"That means our target is 261 consumers retained."
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for which data representation is the median the better measure of center
Answers
The median is the better measure of center when dealing with data sets that have outliers or extreme values.
The median is the better measure of center when a data set contains several outliers or extreme values. It is less sensitive to measurements with extreme values, providing a more robust estimation of central tendency. The median can be thought of as the middle number in a series, where 50% of the measurements are above it and 50% are below.
what value of c makes x^2 - 24x + c a perfect square trinomial?
Answers
The answer is 144
Answer:
Step-by-step explanation:
Quadratic equation is given by x²-24x+c
This is in the form expansion of (a-b)², that is a²-2ab+b²
Comparing
a² = x², a = x
-2ab = -24x
-2xb = -24x
b = 12
c = b² = 12² =144
x²-24x+144 = (x-12)²
Option D is the correct answer
Your cell phone company charges $40 per month for one phone, plus an additional $5 per moth for each extra phone. Write an expression to represent the cost of a plan with x phones.
Answers
A band wants to create a CD of their last concert. To create the CD’s, the cost will be $350 advertisement fee plus $3 per CD. Write an inequality that represents how many CD’s they can buy with maximum of $1225. Solve the inequality
Answers
Then you know there will be a minimum of 350 dollars if they use it, followed by how many CDs they want times their cost (3 dollars)
The final equation would be 1225 > 3X + 350
BRAINLIEST if right!
A cone has a diameter of 9 inches and a height of 12 inches. Find the volume of the cone to the nearest cubic inch.
972 in³
113 in³
324 in³
254 in³
Answers
v = 3.14 x 4.5^2 x 12/3
v = 3.14 x 20.25 x 4
v = 254.34
Answer = 254 in^3
A right triangle is drawn on a coordinate plane. Two vertices of the triangle are points A(−2,4) and B(3,−2) . The third vertex of the triangle is point C, which lies in the third quadrant of the coordinate plane.
What is the distance from point A to point C?
Enter your answer in the box
Answers
To find the distance between point A and point C, just subtract the y-values.
[tex]\sf 4-(-2)=\boxed{\sf 6}[/tex]
If a polynomial has one root in the form a - √b, it has the second root on the form of a _√b?
Answers
Polynomials with rational real coefficients have irrational or complex roots in conjugate pairs. A root with a positive irrational or imaginary part will be matched by a root with a negative irrational or imaginary part.
The second root will be a + √b the missing sign is positive because the roots are always in the pair.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The quadratic formula:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here the roots are in pairs:
One root is a - √b
The second root will be a + √b
Thus, the second root will be a + √b the missing sign is positive because the roots are always in the pair.
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estimate the value of this expression by rounding each number to the nearest
whole unit. (1.94)(7.51)(3.74)
A. 21
B. 42
C. 56
D.64
Answers
First, we need to round each number to the nearest whole unit:
1.94 ≈ 2
7.51 ≈ 8
3.74 ≈ 4
Now, we multiply:
2 * 8 * 4 = 64
So, our answer is D.
Hope this helps!
A factory worker packs 32 mugs into the bottom layer of a box for shipping. If each box can hold 6 layers of mugs, how many mugs can be packed into each box?
Answers
x 6 x6
--------------------------
192 mugs per 6 layers.
107=5x+17 simplify your answer as much as possible
Answers
90divided 5=18
18*5=90+17=107
I did the work ♥♥♥♥
5*18=90
90+17=107
Why do elephants have ivory tusks?
Answers
Elephants have ivory tusks, which are elongated incisor teeth, primarily for digging, stripping bark, and defense, and they may have evolved for sexual selection and competitive interactions among males.
Elephants have ivory tusks because they are actually elongated incisor teeth. These tusks are composed of dentine and are covered by a layer of enamel, just like our teeth. Elephants use their tusks for various purposes, such as digging for water, stripping bark from trees, and as a weapon for defense. However, the primary reason they have tusks is not entirely understood. It's believed that tusks might have evolved for sexual selection and display, as well as for competitive interactions among male elephants.
When a number x is multiplied by 5, it gives the same result as when 48 are added to twice the number. Form an equation in terms of x. Hence, find the number x
Answers
-2x. -2x
3x=48
3. 3
x=16
△ABC is similar to △DEF .
AB=5 inches, BC=9 inches, and DE=7.5 inches.
What is EF ?
Answers
AB/BC = DE/EF
5/9 = 7.5/EF
5(EF) = 9 * 7.5
5(EF) = 67.5
EF = 13.5
Double a penny every day for 30 days. How many dollars do you have
Answers
If I have this correct it is just 2 pennies which is each one cent multiplied by 30
PLEASE HELP ME!! A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? Please answer without using pi. Thank you
A. 5 in.
B. 15 in.
C. 25 in.
D. 90 in.
Answers
Given that the volume is 180 cubic inches
[tex] \frac{1}{3} \pi r^{2} h[/tex] = [tex]180[/tex]
Given that the radius is 6m
[tex] \frac{1}{3} \pi 6^{2} h[/tex] = [tex]180[/tex]
Evaluate
[tex] \frac{1}{3} \pi (36) h[/tex] = [tex]180[/tex]
[tex] 12\pi h[/tex] = [tex]180[/tex]
[tex] h[/tex] = [tex]180[/tex] ÷ ([tex] 12 \pi [/tex])
[tex] h[/tex] = 4.77 ≈ 5 inches (Answer A)
Option B.The height of a cone is 15 inches.
To find the height of the cone, we will use the formula for the volume of a cone:
V = (1/3) * π * r² * h
We know the volume (V) is 180 cubic inches and the radius (r) is 6 inches.
We need to solve for the height (h).
First, let's plug in the known values:
180 = (1/3) * π * (6)² * h
180 = (1/3) * π * 36 * h
540 = π * 36 * h
540 / 36π = h
We can simplify this further, h = 15/π. Since we do not use π for the answer:
By rational observation of given options, B. 15 in. seems accurate.