Which relationships describe angles 1 and 2?
Select each correct answer.
O vertical angles
O complementary angles
O adjacent angles
O supplementary angles
Answers
Explanation:
Completely angles are two angles that equal 90°
This is a perfect example of that
Since the sum of angles 1 and 2 equals 90°, and they also share same side and same vertex, then, the relationships that describe both angles would be:
B. Complementary angles
C. Adjacent angles
What are Complementary Angles?Complementary angles are two angles whose sum equals 90 degrees (right angle).
Thus:
m∠1 + m∠2 + 90° = 180° (straight line angle)
m∠1 + m∠2 = 180° - 90°
m∠1 + m∠2 = 90°
Therefore, since the sum of angles 1 and 2 equals 90°, and they also share same side and same vertex, then, the relationships that describe both angles would be:
B. Complementary angles
C. Adjacent angles
Learn more about complementary angles on:
https://brainly.com/question/16281260
Related Questions
A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel bars and pull-ups on the horizontal bar were considered good tests. One faculty member thought that both tests were not needed because the correlation between the two was probably high. To evaluate this assumption, 141 students were tested on both criteria. The faculty member let X represent dips on the parallel bars and Y represent pull-ups and calculated the following from the data:
ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416.
Calculate the following:
a. The mean of each variable
b. The correlation between the two variables
c. The level of confidence and the p value reached by the coefficient
d. The predicted number of pull-ups for a student who performed 20 dips
e. The standard error of the estimate
f. The predicted range of possible pull-up scores at the 95% LOC for a student who performed 20 dips
Answers
Answer:
24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45
Step-by-step explanation:
Given that :
ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416
Sample size, N = 141
Mean of X:
£X / N = 3416 / 141 = 24.23
Mean of Y:
£Y / N = 1899 / 141 = 13.47
B.) Correlation between the 2 variables :
£ZXZY / N - 1
= 109.416 / 140
= 0.782
C.)
Level of significance and p value :
T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)
T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)
T = 14.79
P value from Tscore calculator
Df = 141 - 2 = 139 ; α = 0.05
Pvalue = 0.00001
Pvalue < α ; Hence, a significant positive relationship exists.
To obtain regression model :
Slope = £ZXZY / SDX²
m = 109.416 / 8.84^2 = 1. 4
yintercept = meanY - slope*x
yintercept = 13.47 - 1.4*24.3
yintercept = - 20.55
Equation in slope intercept form:
y = mx + c
y = 1.4x - 20.55
For x = 20
y = 1.4(20) - 20.55
y = 7.45
A group decides to go white-water rafting on a river. The map they have of the river has the scale 3 inches:7 miles. On the map, the distance between the start point and the end point of their trip is 15 inches. What is the actual distance?
Answers
So far, Monica has read ã of a book. She
has read the same number of pages each
day for 5 days. What fraction of the book
does Monica read each day?
Answers
Lamar went to a baseball game. The game started at
11;50AM, and it was 3 hours 39minutes long. When did the game end?
Answers
11:50 + 3 hours = 2:50
2:50+ 39 mins = 3:29
Answer:
The game ends at 2:39
Step-by-step explanation:
11:50 + 3 hours (3:00) = 2:00
2:00+ 0:39 = 2:39
there are 3 blue rings, 4 red rings, and 8 yellow rings write the ratio of red rings to all rings
Answers
to be honest i dont know all you said was ratio and some colored rings i dont know what im supposed to to that
Answer:
15:8 or 4:15 or 3:15
Step-by-step explanation:
Mhanifa please help these 2 are confusing :( I will mark brainliest
Answers
Answer:
The key is to prove that the triangles are congruent, then their corresponding parts are congruent.
Step-by-step explanation:
#5)
It it given that:
Angle CBD is congruent to angle CDB.
Angle BAE is congruent to angle DEA.
Triangle CBD is isosceles because it's base angles are equal. Therefore, segment CB is congruent to segment CD.
Triangle CAE is isosceles because it's base angles are equal. Therefore, segment CA is congruent to segment CE.
CA-CB=BA
CE-CD=DE
segment BD is congruent to segment DB.
Angle ABD is supplementary to angle CBD (180-angle CBD= angle ABD).
Angle EDB is supplementary to angle CDB (1980-angle CDB=angle EDB).
therefore, angle ABD=angle EDB.
Triangles ABD and EDB are congruent because of the Side-angle-side theorem.
Triangles ABD and EDB are congruent, segment AD is congruent to segment EB because corresponding legs of congruent triangles are congruent.
#6)
It is given that:
Angle EBC is congruent to angle ECB
Segment AE is congruent to segment DE.
Triangle BEC is iscsceles because it's base angles are equal. Therefore, segment EB is congruent to segment EC.
AE+EC=AC
DE+EB=DB
segment BC is congruent to segment CB.
Triangle BAC is congruent to triangle CDB because of the side-angle-side theorem.
Segment AD is congruent to segment DC because corresponding legs of congruent triangles are congruent.
Answer:
Problem 5)
Step 1: < CBD = <CDB Reason: given
Step 2: BC = CD Reason: opposed sides in the isosceles triangle BCD
Step 3: < BAE = < DEA Reason: given
Step 4: AC = CE Reason: opposed sides in the isosceles triangle ACE
Step 5: triangle ACD = triangle BCE Reason: angle <C is common, and equal sides shown above so use SAS theorem.
Step 6: AD = BE Reason: third side in the equal triangles shown above.
Problem 6)
Step 1: < ECB = <EBC Reason: Given
Step 2> triangle BEC is isosceles Reason: has two equal angles
Step 3: BE = EC Reason: opposite sides in the isosceles triangle
Step 4: <DEC = < AED Reason: opposed by the vertex (vertical angles)
Step 5: AE = ED Reason: given
Step 6: triangle BAE = triangle EDC Reason SAS theorem
Step 7: side AB = side CD Reason: third side in the equal triangles
Which one does not belong?
Answers
Answer:
should be the one in the yellow square
Step-by-step explanation:
Evaluate -2x^2y, if x = -3 and y=-1.
-12
18
12
-18
Answers
Answer:
Option A is your answer
Are they Equivalent why or why not?
Answers
Answer:
They are equivalent because when you distribute the -0.5 into 3x+5 you get the expression -1.5x+2.5
You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
(h,k)
Answers
Answer:
Step-by-step explanation:
Equation of circle: (x - h)² + (y -k)² = r²
(x+ 3)² + (y + 9)² = 144
(x+ 3)² + (y + 9)² = 12²
h = -3 ; k = -9
How do you know 31/40 is greater than 3/4, but less than 4/5
Answers
Step-by-step explanation:
So you have 31/40
3/4=30/40 (multiply by 10/10)
4/5=32/40 (multiply by 8/8)
So, there you have it, 31/40 is right in between those two.
turn it into decimal format. just do the division,. 31 divided by 40 = .775 and 3 divided by 4 = .75 and 4 divided by 5 = .8. all you have to do is the division and once it is in decimal format you can tell which is greater. hope this helps
9514 1404 393
Answer:
30/40 < 31/40 < 32/40
Step-by-step explanation:
The fractions are easiest to compare when they have a common denominator. A denominator of 40 will serve.
3/4 = 30/40
4/5 = 32/40
Then the relation between the fractions is ...
30/40 < 31/40 < 32/40
3/4 < 31/40 < 4/5 . . . . 31/40 is greater than 3/4 and less than 4/5
_____
You can also compare the numbers as decimals.
3/4 = 0.750
31/40 = 0.775 . . . . greater than 3/4
4/5 = 0.800 . . . . greater than 31/40
The Statistical Abstract of the United States reported that the average cost per day of owning an automobile in the United states is $7.62. This includes the cost of the car, general maintenance, gasoline, and insurance. A researcher claims that college students' average daily ownership expenses are less than the national average. A random sample of 54 college students who own cars found the average cost per day to be $6.78 with standard deviation $1.77. Use a 5% level of significance to test the claim that a college student's average daily ownership expenses are less than the national average. State the Null and Alternate Hypotheses, calculate the test statistic, compute the P value for this test, state the alpha value, then state your conclusion. Is there enough evidence to support the claim?
Answers
Answer:
Step-by-step explanation:
The null and the alternative can be computed as:
[tex]H_o : \mu = 7.62[/tex]
[tex]H_1 : \mu < 7.62[/tex]
[tex]Claim: \mu < 7.62[/tex]
[tex]\alpha= 0.05[/tex]
The critical value for a left-tailed test at [tex]\alpha= 0.05[/tex] = -1.645
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{6.78 - 7.62}{\dfrac{1.77}{\sqrt{54}} }[/tex]
[tex]Z = -3.487[/tex]
The P-value = (Z< -3.487)
The P-value = 0.00024
Decision Rule: TO reject [tex]\mathbf{H_o}[/tex] at [tex]\alpha= 0.05[/tex], if test statistics is less than the critical value (left tailed)
Conclusion: We reject [tex]\mathbf{H_o}[/tex] at ∝ = 5%, thus there is enough evidence to support the claim that the college students average daily ownership expenses are less than the national average.
Which expression shows another way to write 36+16?
4(9)+4
4(9+4)
6(6+8)
(6+4)(6+4)
Answers
Answer:
36+16= 52
4(9)+4= 40, which does not equal 52.
4(9+4) = 52.
6(6+8) = 84, which does not equal 52.
(6+4)(6+4) = 100, which does not equal 52.
So, 4(9+4) is correct.
Let me know if this helps!
Find the measure of angle 4
A. 51
B. 39
C. 90
Answers
Answer:
angle 4 is equalivent to B.) 39°
it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap
Answers
Answer:
$0.90
Step-by-step explanation:
So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90
Help me out please mathematic ✏️
Answers
To solve this you need to take the two degree values you already have, 90 degrees and 25 degrees. From there you can subtract 90 from 25.
What is the LCD of 2/6 and 2/15? pleeease heeeellpppp
Answers
Answer:
the LCM is 30
Step-by-step explanation:
6x5=30
15x2=30
Answer:2/6=10/30
2/15=4/30
Step-by-step explanation:
I need help, Ting wei has 8 kittens and he feeds them a total of 22 ounces of food and ting feeds each kitten a equal amount of food. What is the answer?
Answers
Answer: 2.75 ounces
Step-by-step explanation: Good luck! :D
You divide 22 and 8, which equals 2.75!
Answer: 2.75 ounces
Step-by-step explanation:
If the total amount of food is 22 ounces, and Ting Wei feeds his 8 kittens equal amounts, then you should divide 22 by 8.
22 / 8 = 2.75 ounces per cat
I WILL GIVE 100 POINTS FOR THIS PLS ANSWER ASAP
Answers
Answer:
4(4y+5k)
Step-by-step explanation:
if you do 4 x 4y thats 16y and 4 x 5k is 20k \
pls give brainliest
Answer:
4(4g + 5h)
Step-by-step explanation:
4(4g + 5h)
Mate what the heck first of all my answe was deleted for some strange reason.
Second. You have to find the least common factors of the two.
4 is the only common factor of the two therefore whatever is left from the division of that factor will go in parenthesis beside that least common factor.
21< -4+5x Hurry I need it
Answers
uhhhhh because yea
Change x+2y=-6 into y=mx+b form
Answers
Answer:
y = -3 - x/2
Step-by-step explanation:
x + 2y = -6
You have to isolate y by minusing x on both sides
2y = -6 - x
Then you will isolate y by dividing both sides by 2
y = -3 - x/2
What type of jobs offer commissions?
Answers
Answer:
Sales Engineers. ...
Wholesale and Manufacturing Sales Representatives. ...
Securities, Commodities, and Financial Services Sales Agents. ...
Advertising Sales Agent. ...
Insurance Sales Agent. ...
Real Estate Brokers and Sales Agents. ...
Travel Agents.
Step-by-step explanation:
What type of jobs offer commissions?
-Sales Engineers
-Wholesale and Manufacturing Sales Representatives
-Securities, Commodities, and Financial Services Sales Agents
-Advertising Sales Agent
-Insurance Sales Agent
-Real Estate Brokers and Sales Agents
-Travel Agents
work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
Answers
Hope this helps
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0 < x < 4 to the average rate for the interval 4 < x < 8 What do you think will happen to the average rate of change for intervals beyond x = 8 ? Explain.
Answers
For 0<x<4, the average rate of change will be -60
For 4<x<8 the the average rate of change will be -31
And for the sentence (on savass in order is)
Stay negative, -31, decrease but at a slower rate
In this exercise we have to use the knowledge of functions to describe the average rates of each one of them, so:
For 0<x<4 will be -60
For 4<x<8 will be -31
First, we have to remember what an average rate means, like:
It is a measure of in what way or manner much the function altered for one, approximately, over that pause. It happen derived from the slope of the direct route joining the break's endpoints in contact the function's diagram.So we can say that:
[tex]0
See more about functions at brainly.com/question/5245372
Help me pls pls pls
Answers
Answer:
1.61
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.61
Please help WORTH 20 POINTS the highlighted one is wrong
Answers
Answer:
the answer is b
Step-by-step explanation:
17
Convert into a mixed number.
9
Answers
Answer: [tex]1\frac{8}{9}[/tex]
Step-by-step explanation:
i'm assuming the fraction is [tex]\frac{17}{9}[/tex] correct? First you would have to find out how many times 9 can be multiplied to get as close to 17. Since it can only go one time, subtract 9 from 17, then add the one next to it which would get you the mixed number of [tex]1\frac{8}{9}[/tex]
subtract 10x^2-10x+2 from -8x^2+7x-7
Answers
Answer:
-18x^2+17x-9
Step-by-step explanation:
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? will mark brainliest
Answers
Answer:
120 mm
Step-by-step explanation:
Can you look at the photo and help please.?
Answers
Answer:
sorry it aint werking for meeee
Step-by-step explanation: