If I || m, identify the angle pair as congruent or supplementary.
Justify your reasoning by classifying the angle pair.
Angle Pair
Congruent or
Supplementary?
Classify
10. 21 and 28
11. 25 and 26
12. Z6 and 28
13. 22 and 23
14. 24 and 27
15. 23 and 26
Answers
Answer/Step-by-step explanation:
10. <1 and <8 are congruent.
Reason/classification: alternate exterior angles
11. <5 and <6 are supplementary.
Reason/classification: linear pair
12. <6 and <8 are congruent.
Reason/classification: corresponding angles
13. <2 and <3 are supplementary.
Reason/classification: same side interior angles
14. <4 and <7 are congruent.
Reason/classification: vertical angles
15. <3 and <6 are congruent.
Reason/classification: alternate interior angles
Related Questions
Given m||n, find the value of x.
+
m
1579
Answers
Answer:
157°
Step-by-step explanation:
X is the alternative angle or 157°
Hence, x=157°
Can anyone please help me with number 2 ❤️
Answers
Answer:
[tex]A = 101.5825591635[/tex]°
Step-by-step explanation:
We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)
So we want to solve for angle A.
We do this by using:
[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]
Here we have:
a = 36
b = 27
c = 19
So we plug in to get:
[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]
[tex]cos(A)=-0.20077972709[/tex]
[tex]A = 101.5825591635[/tex]°
An object was moving at a rate of 18.2 feet per second for 38.5 seconds. How far did the object travel?
Answers
Answer:
700.7
Step-by-step explanation:
You're looking for distance. So all you have to do is 18.2 x 28.5 and you'll get your answer.
Hope this helps. :)
The distance travelled 700.7 feet
What is speed- distance formula?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,Distance = Speed X Time, and Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.given:
speed= 18.2 ft/ sec
time= 38.5 sec
So,
speed= Distance/ time
distance= speed * time
= 18.2 * 38.5
= 700.7 feet
Learn more about speed here:
https://brainly.com/question/1417996
#SPJ2
7723 as a fraction what is the answer
Answers
Answer:
7723 as a fraction is 7723/1
Step-by-step explanation:
What are the terms in the expression 7x+4y+1?
A. 7x, 4y, and 1
B. 7 and 4
C. 1
D. x and y
Answers
Answer:
D.
x and y are the terms think about the letters in the expression and those are the terms.
which set of numbers represents a Pythagorean triple
6,9,12
7,10,12
16,18,25
27,36,45
Answers
Answer:
27,36,45
Step-by-step explanation:
Pythagorean theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]
[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]
[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]
[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]
You are at a restaurant and the check comes to a total of $34. If you want to leave a 16% tip, how much total money should you pay, to the nearest cent?
Answers
Answer:
34*1.16 = $39.44
Step-by-step explanation:
Answer:
$39.44
Work:
Convert percentage to decimal:
16%=16/100=0.16
Percent formula:
a(1+r)
34(1+0.16)
34(1.16)
39.44
Total amount paid:
39.44
f (x)=-x2 + 4x, solve for f(3)
Answers
Answer:
f(3) = 6
Step-by-step explanation:
F(3)=-(3)2+4(3)
f(3) = -6 + 12
f(3) = 6
Find the area please ASAP
Answers
Answer:
30 units ^2
Step-by-step explanation:
area of triangle = (base × height) / 2
What is the solution to the inequality -2.1x + 2.9 > 15.5?
Answers
Answer:
x<−6
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2.1x+2.9>15.5
Step 1: Subtract 2.9 from both sides.
−2.1x+2.9−2.9>15.5−2.9
−2.1x>12.6
Step 2: Divide both sides by -2.1.
−2.1x−2.1>12.6−2.1
x<−6
Donna has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same
distance to cool down. If she runs at a speed of 10 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back?
Answers
Answer:
Avg speed of the round trip = 2*10*2/(10+2) = 10/3 mi/hr
D = r*t = (10/3)*6 = 20 miles
--> 10 miles each way
--> 5 hours walking back.
She'll get bored doing that.
Step-by-step explanation:
10.15-10.16 with fractions
Answers
The Batmobile broke down so Batman went to the car dealership to purchase a new car. Batman negotiated the price of his car to an even $40,000. If Batman pays 8% tax for his car, how much will he pay total with tax?
(Please also show work)
Answers
Answer:
$43,200
Step-by-step explanation:
40,000*0.08=3,200
40,000+3,200=43,200
Hope this helps!
Which relationship is an inverse variation?
x 2 4 6 8
f(x) 12 6 4 3
x 1 2 3 4
f(x) –1 –2 –3 –4
x 1 2 3 4
f(x) 4 16 36 64
x 2 4 6 8
f(x) 6 12 18 24
Answers
The relation that is an inverse variation is the one in the first table:
x 2 4 6 8
f(x) 12 6 4 3
Which relation is an inverse variation?An inverse variation between two variables x and y can be written as follows:
y = k/x
Where k is a constant.
Notice that x is on the denominator, so, as x increases, the value of y decreases.
Now, for example if we use the values of the first table:
x 2 4 6 8
f(x) 12 6 4 3
The first pair is (2, 12)
Replacing that in the inverse variation formula we get:
12 = k/2
12*2 = k
24 = k
For the second pair (4, 6) we will get:
6 = k/4
6*4 = k
24 = k
And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).
So this is the correct answer.
Learn more about inverse variations:
https://brainly.com/question/13998680
#SPJ1
why is x=6 a solution to the proportion 192/36=32/x
Answers
Answer:
They're both equal each other!
Step-by-step explanation:
Because 32/6 is 5.33... on the calculator and when you divide 192/36 is 5.33 and so on. X = 6 is the solution because both of these divisors equal each other!!! Hope this helps!
If two distinct lines intersect, which is NOT necessarily true?
Answers
The lines are perpendicular.
The sum of two numbers is 72. One number is 8
more than the other. Find the numbers.
Can someone help me?
Answers
Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
Choose the equation for the line in slope-intercept form.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (4,-1), (0,-3) and (-4,-5).
A. y=2x+3
B. y=12x+3
C. y=12x−3
D. y=−12x−3
Answers
To do this use the formula change in y/ change in x
So If we pick two points, say 0,-3 and -4,-5 the change in y is from -3 to -5 so it is -2 and the change in x is from 0 to -4 so is taking away 4 so the gradient is -2/-4 which is 1/2.
Then we need to work out the y intercept, c.
Substitute the gradient into y= Mx+ c to get y = 1/2 x + c. Use a point to substitute in and solve:
Eg 4, -1 —> -1 = 1/2 x 4 + c
Then -1 = 2 + c
Then -3 = c
So you get the end equation of
Y = 1/2x -3
Let me know if you have any questions
Dave answered 28 questions out of 40 correct on a test. What percent did he answer correctly?
Answers
Answer:
70 percent
Step-by-step explanation:
first divide your part by your total: 28/40
then multiply the result by 100
so, 28/40=0.7. 0.7×100=70 percent
Care to help please!!
Answers
Answer:
M= the slope or the gradient
B= the y-intercept
y= the output value
x= the input value
Step-by-step explanation:
Answer:
m = 2
b = 8
y = 2x+8
BRAINLIEST ANSWER! please show the steps
-6k-24 > = 6 (1-2k)
Answers
Answer:
Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k
Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.
6k>=30 Divide. 6/6 and 30/6 and your answer is 5
For each representation below, decide if it is a function. justify your answer. ( I literally don’t understand this please help, THANK YOU!:)
Answers
Answer:The Answer is Answer is B
What happens in the falling action of Ares god of war?
Answers
Answer:
In the Ancient World, the most powerful forces that shaped human destiny were personified by polytheistic religions in the form of Gods. In this way, the ancients believed that they could influence impersonal forces and powers. One of these was war. In the past, conflict was a constant fact of everyday life, and peace was rare. This is what made the Greek God of War, Ares, so influential in mythology and religion.
The origin of the myth of Ares
Ares was the son of Zeus and Hera, was regarded as one of the Twelve Olympians, and was one of the major deities of the Greek world. The etymology of the name Ares means curse or ruin. Unlike many other religions, such as Roman mythology, the Greeks did not worship war. They were very ambivalent about the God who personified for them the power and bravery needed for victory in war. For the Greeks, he represented the worse in war and conflict
pls help how do you do this??
Answers
-1 1/5 * 6 -1 5/6 * 5
-1 6/30 divided by -1 25/30
-4/30
i think thats the answer sorry if im wrong :(
Look at the equation below.
d=(ri+r2)t
Which of the following shows the equation solved correctly for 11?
O ri=
n1 = 12
T =
det
T2
r = -2
O T1= .
dra
Answers
Answer:
D
Step-by-step explanation:
What is the distance from. P to n, shown in the figure?
A. -3
B. 1
C. 4
D. 5
Answers
Answer:
-5
Step-by-step explanation:
y2-y1/x2-x1
0-5/4-3
-5/1
solve for the perimeter
Answers
Answer:
can you provide more information and explain
Step-by-step explanation:
You've won a new prize! Go to your game board.
If x > 0 and y > 0, where is the point (x, y) located?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answers
Answer:
quadrant l
Step-by-step explanation:
consider the following figure
Answers
Answer:
that look like complementry and supplementry angles
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
suppose CM and DM intersect AB as shown. allison states angleAMC + angleCMD + angleDMB = angleAMB. which justifies allison’s statement?
Answers
Answer:
A. Angle Addition Postulate
Step-by-step explanation:
<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.
According to angle addition postulate, the measure of <AMB is the sum of these three angles.
Therefore, angle addition postulate justifies Allison's statement that states:
<AMC + <CMD + <DMB = <AMB.
Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.
Segment addition nor construction of an angle bisector do not also justify his statement.
The right answer is: A. Angle Addition Postulate.