Answers
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
Related Questions
Which of the following sets of vectors in R3 are linearly dependent?
Note. Mark all your choices.
Answers
9514 1404 393
Answer:
B, C
Step-by-step explanation:
Linearly dependent sets can be found using row-reduction techniques. If a row ends up zero, then the set is linearly dependent. Equivalently, the determinant of a 3×3 matrix can be computed. If it is zero, the set is dependent. The cross-product of two 3-D vectors can be computed. If it is zero, the vectors are dependent.
Any set of vectors that has more elements than each vector does must necessarily be dependent.
It is helpful to be able to use a calculator capable of performing these calculations (as opposed to doing it by hand). The first attachment shows the result of computing the reduced row-echelon form of the first set of 3 vectors. The set is found to be independent.
__
The second set of vectors is clearly dependent, as the second vector is 5 times the first.
__
The third set contains more vectors than there are elements to a vector. Hence at least one of them can be created using some combination of the others. This set is dependent.
__
The cross-product of the fourth set is non-zero, so it is independent. The second attachment shows the result of a row-reduction tool on these vectors.
Represent each of these temperatures in degrees Fahrenheit with a positive or negative number. 5 degrees above zero 3 degrees below zero 6 degrees above zero 234 2 3 4 degrees below zero Order the temperatures above from the coldest to the warmest.
Answers
Answer:
5 degrees above Zero = greater than 0 = + 5
3 degrees below Zero = less than 0 = - 3
6 degrees above Zero = greater Than 0 = + 6
2 3/4 degree below Zero = less than 0 = - 2 3/4
-3 ; - 2 3/4 ; + 5 ; + 6
Step-by-step explanation:
5 degrees above Zero = greater than 0 = + 5
3 degrees below Zero = less than 0 = - 3
6 degrees above Zero = greater Than 0 = + 6
2 3/4 degree below Zero = less than 0 = - 2 3/4
The least temperature value implies the coldest while the highest implies the warmest :
Therefore.
Least temperature = - 3 ; then - 2 3/4 ; then + 5 ; then + 6
-3 ; - 2 3/4 ; + 5 ; + 6
Solve each system by eliminating one of the variables by addition or
subtraction.
Answers
Answer:
Step-by-step explanation:
hello :
here is an solution
Order these fraction from to : 2/3 , 7/12 , 3/4
Answers
I didn't really know whether to do it from least to greatest or greatest to least, so I did it from least to greatest.
Steps:
1. Find a common denominator
Let's do 12
2. Convert
7/12 is already in its simplest form, so 2/3 = 8/12 and 3/4 = 9/12
3. Order
7/12, 8/12, 9/12
4. Back to original form
7/12, 2/3, 3/4
ANSWER: 7/12, 2/3, 3/4
Answer:
2/3, 3/4, 7/12
Step-by-step explanation:
Least to greatest. Sorry if this was not what u were asking for.
The irrational number square root 67 is less than [blank]
Answers
Answer:
The square root of 67 is less than the whole number of 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
67 is in between them
What is the slope of the line 1/7
Answers
Answer:
3/4
Step-by-step explanation:
Well its a incomplete Question but i am solving a realted type Question .
• Find the slope of the line -3x - 4y = 12 :-
Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,
m is slope c is y Intercept⇒ -3x -4y = 12
⇒ -4y = 12 +3x
⇒ y = 3x + 12 /4
⇒ y = 3/4x + 12/3
⇒ y = ¾x + 4
Comparing to Standard Form⇒ m = ¾
⇒ c = 4
Hence the slope of the line is 3/4.plz help for brianly
Answers
Answer:
190.
Step-by-step explanation:
Match each system of equations to its point of intersection.
y=2x+1
y=x+3
y=x+3
y=-3x-2
y= -x-7
y= x+3
y= -x-7
y= 2x+1
y= 2x+1
y= -3x-2
Answers
Answer:
Step-by-step explanation:
PLs give Brainliest
GIVING BRAINLEST PLEASE ANSWER ALL :)
Answers
In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.
Answers
Answer:
10
Step-by-step explanation:
Can't do that. I have to write some sort of explanation or the mods have a fit.
Side opposite = 5 √3
Sin(60) = √3 /2
Hypotenuse = x
Sin(60) = √3/2 = 5√3 / x
√3/2 = 5√3 / x Multiply both sides by x
x √3/2 = 5√3 Divide both sides by √3
x/2 = 5
x = 10
The hypotenuse is 10 units long.
I have no idea how to draw these please help
Answers
9514 1404 393
Answer:
1, 2: draw x as the altitude of a right triangle
3: draw x as double the altitude of the right triangle
Step-by-step explanation:
Consider the right-triangle geometry in the attachment. All of the right triangles are similar, so the ratios of corresponding sides are equal.
short side / long side = x/r = s/x
You may notice this compares to the required relation in problem 1.
__
If you multiply this out, you get ...
x² = rs ⇒ x = √(rs)
This compares to the required relation in problem 2.
__
So, you append the two line segments to each other so they make segment AB, find their midpoint D (using a perpendicular bisector construction), then draw the (semi-)circle centered at that midpoint. The perpendicular at X will intersect the circle at C, a distance of x from the line rs. (A perpendicular to a line at a point construction is required to create XC.)
__
For problem 3, you simply need to double the length √(rs) that you found in the previous constructions. A simple way to do this is to draw a circle, not a semicircle. Then point C' on the lower half of the circle will be 2√(rs) from point C.
_____
In the attached, we have shown right triangle ABC for discussion purposes above. Segments AC and BC are not needed for your purpose.
Point of clarification: AX = r, BX = s, CX = x.
V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4
Answers
The secant of the angle A is 13/4
How to determine the value of sec(A)?The given parameter is:
[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]
Using the trigonometry identity, we have:
[tex]\sec^2(A) = \tan^2(A) + 1[/tex]
This gives
[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]
Evaluate the exponent
[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]
Evaluate the sum
[tex]\sec^2(A) = \frac{169}{16}[/tex]
Take the square root of both sides
[tex]\sec(A) = \pm \frac{13}{4}[/tex]
Secant in quadrant IV is positive.
So, we have:
[tex]\sec(A) = \frac{13}{4}[/tex]
Hence, the secant of angle A is 13/4
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
#SPJ1
The dot plots show the math test scores from the sixth and seventh
grade students
Answers
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
answer and give proof and ill give brainliest
Answers
Answer:
I'm giving you the steps
Step-by-step explanation:
Add all the numbers shown then round them
Please help!!!? Find m
Answers
Answer:
Step-by-step explanation:
[tex]m\angle F =tan^{-1}\frac{4}{6}\\m\angle F =33.690067526\degree\\m\angle F =33.7\degree[/tex]
Alligators perform a spinning maneuver, referred to as a "death roll," to subdue their prey. In a study of alligator death rolls, one of the variables measured was the degree of the angle between the body and head of the alligator while performing the roll. A sample of rolls yielded the data provided below, in degrees. At the % significance level, do the data provide sufficient evidence to conclude that, on average, the angle between the body and head of an alligator during a death roll is greater than ? (Note: and s. Preliminary data analyses indicate that you can reasonably use a t-test to conduct the hypothesis test.)
Answers
Complete question :
Alligators perform a spinning maneuver, referred to as a "death roll," to subdue their prey. In a study of alligator death rolls, one of the variables measured was the degree of the angle between the body and head of the alligator while performing the roll. A sample of 20 rolls yielded the data provided below, in degrees. At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, the angle between the body and head of an alligator during a death roll is greater than 45 ? Note: x =46.255° and s = 12.251° Preliminary data analyses indicate that you can reasonably use a t test to conduct the hypothesis test.
Answer:
H0 : μ = 45
H1 : μ > 45
T statistic = 0.4472
Pvalue = 0.3299
We fail to reject the Null
Step-by-step explanation:
H0 : μ = 45
H1 : μ > 45
Test statistic, T :
(xbar - μ) ÷ (s/√n)
(46.225 - 45) ÷ (12.251/√20)
1.225 ÷ 2.7394068
= 0.4472
Using the Pvalue calculator, the Pvalue can be obtained using the test statistic and degree of freedom
Degree of freedom, df = 20 - 1 = 19
Tscore = 0.4472
α = 0.01
Pvalue = 0.3299
Pvalue > α
0.3299 > 0.01 ; Hence, we fail to reject the Null
We fail to reject the Null; The data does not provide sufficient evidence to conclude that average angle between alligator's body and its head is greater than the 45
The principal of the school is looking over grade reports, specifically scores on math quizzes.
This box-and-whisker plot shows the results.
Find median and range in the given box plot:
Answers
Answer:
Range = 45
Median = 75
Step-by-step explanation:
Based on the attached box and whisker plot :
From the plot :
Maximum value = 95
Minimum value = 50
The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :
This point is marked 75.
Hence, median value = 75
Range = maximum - minimum
Range =. 95 - 50 = 45
If I apply distributive property to 6 (t + 12) = 114 then what operation will I need to use first
Answers
Answer:
Step-by-step explanation:
First divide 6 from the left size so it gets cancelled.
Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6
Which becomes (t + 12) = 19
Now, (t + 12) - 12 = 19
Therefore, t = 19 - 12
Answer: t = 7
(whatever you do to one side, most be done to the other side too).
To check,
6(t+12)=114
6(7+12)=114
Solve brackets first, 6(19)=114
114=114
The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
What is Distributive property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
As per the given data:
To apply distributive property in 6 (t + 12) = 114
Distributive property: A (B + C) = A × B + A × C
Now for, 6 (t + 12) = 114
First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:
6 × t + 6 × 12 = 114
6t + 72 = 114
6t = 114 - 72
6t = 42
t = (42/6) = 7
Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
To learn more about Distributive property, click:
brainly.com/question/5637942
#SPJ2
Identify the association comparing age of a teacher and the number of students in his or her classroom
Answers
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Luke build a storage box in the shape of a right rectangular prism dimensions inside the box are
Width-4 feet
Length-8 feet
Height- 3 1/2 feet
What is the total volume in cubic feet of the inside of the box
Also I’m not opening up links so please don’t put a link
Answers
Answer:
112 feet
Step-by-step explanation:
To find the volume of a rectangular prism do this equation: W x L x H = V
so for this question you would do, 4 x 8 x 3.5 which equals 112
Which equation best describes the functional
relationship in the data set?
[(-3,-7), (0, -1), (2,3))
A y= -4x-5
B y= -2x- 1
C y= 2x - 1
D y= 3x + 2
Answers
Answer:
C
Step-by-step explanation:
y=2x-1 your welcome I need to put more characters so skdjdnnn
Answer:
Y=2x-1
Step-by-step explanation:
the three data sets all work for y=2x-1
-7=-6-1
-7=-7
or
-1=0-1
-1=-1
or
3=4-1
3=3
Question 7 of 10 What is the interquartile range (IQR) of the data set represented by this box plot? ਤੇ 61 B9 ਮ A. 37 E. 5 C 1
Answers
Answer:
Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...
Step-by-step explanation:
Answer:
D. 22
Step-by-step explanation:
Your answer is correct sir :)
Find the value of X in the triangle shown below. X° 112° 19°
Answers
112+19= 131 which means 180-131 is 49
help please please please
Answers
Answer:
they are both going in the same dirrection but this does not mean they are parrallel or perpendicular.
Step-by-step explanation:
So just say neither
Answer:
they are not parallel nor perpendicular to each other i am assuming you can write out the full sentsentence your self
Step-by-step explanation:
The sum of one and the product of 1 and a number X
Answers
Answer:
1 + x
Step-by-step explanation:
1 + 1(x) = 1 + x
[tex]\huge\bold\purple{1 + x}[/tex]
Step-by-step explanation:[tex]\bold\purple{1 + 1(x) = 1 + x}[/tex]
A chi-square test of independence was conducted to investigate whether there is an association between the location where a person lives in a city (north, south, east, or west) and who the person planned to vote for in the upcoming mayoral election (the incumbent or the challenger). A random sample of 100 potential voters was selected, and the hypothesis test had a chi-square test statistic of x^2=9.84 with a p-value of 0.02. Which of the following statements is the correct interpretation of the pp-value in context?
a. There is a 2 percent chance that where a person lives and who that person plans to vote for are independent.
b. There is a 2 percent chance that where a person lives and who that person plans to vote for are dependent.
c. There is a 2 percent chance of making a Type IIII error.
d. Assuming that the location of where a person lives and who that person plans to vote for are dependent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
e. Assuming that the location of where a person lives and who that person plans to vote for are independent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
Answers
Answer:
The answer is "Option e".
Step-by-step explanation:
The Chi-Square Independence Test determines if the variables or linked among measurement items factors. It test is indeed not symmetric. It is also known as Interaction Chi-Square Test. Therefore it is also a 2% likelihood of obtaining a test statistic which is 9.84 or higher unless the place where a person is living, but for whom each plans to vote is different.
what is the slope of the line
Answers
Answer:
3
Step-by-step explanation:
3/1
20 Points Please help me
Answers
Answer:
98 inches
Step-by-step explanation:
Multiply the top length by the bottom length
Solve the equation. 2cos2(x+30°)=1 for 0°≤x≤360°
Answers
2*[tex]cos(x+30)^{2}[/tex]=1
x = 15
A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.
Answers
Answer:
the kangaroo will travel 10 kilometers
Step-by-step explanation:
15/3=5
5×2=10
Answer:
10
Step-by-step explanation:
We can use the ratio:
3:2
15:?
15/3 is 5
2*5 is 10.