The statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
A mathematical proposition or assertion that has been proven to be true is known as a theorem.
According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.
It is given that,
∠2=∠4
From the diagram, it is observed that two straight lines cross, and they create two sets of linear pairs with matching angles as a result of the Vertical Angles Theorem angle 2 is congruent to angle 4.
Thus, the statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
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The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of eight adult friends, what is the probability of the following? (Round your answers to three decimal places.)
A button hyperlink to the SALT program that reads: Use SALT.
(a) no one has done a one-time fling
(b) at least one person has done an one time fling
(c) no more than two people have done a one time fling
Answer:
..
Step-by-step explanation:
TO
Which graph represents the function f(x) = -1x1 – 2?
Answer:
Step-by-step explanation:
The ratio of boys to girls in Hebron’s Chorus is 2:7. Part A: If there are 8 boys, how many girls are there in Hebron’s Chorus? Show your work.
Answer:
let the no. of girls be x
now
2/7=8/x
or,2×x=7×8
or,2x=56
or,x=56÷2
or,x=28
so the no. of girls is 28
which angles are corresponding angles?
Answer:
<3 and <11
Step-by-step explanation:
اور مدنی
Sin A /1-cosA= cot1/2
عورت سے
If Jerry exceeds the speed limit of 65 miles per hour, he runs the risk of receiving a speeding ticket. If represents Jerry's speed, which inequality represents this situation?
A.x _65
C.x 65
If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.
The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).
1,052.785 rounded to the nearest hundredths place
Hello! The correct answer is 1,052.79.
You may remember the rounding rule..0-4 goes down, 5-9 goes up..
✨ You underline the "8" in "1,052.785". ✨
We can see, the number behind it is "5", which means 8 goes up once.
**ONLY** the 8 goes up, everything stays.
⌨ Which makes it 1,052.79! ⌨
Therefore, your answer is 1,052.79, I hope this helps you.
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Julie recently drove to visit her parents who live 567 miles away. On her way there her average speed was 16 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 18 hours driving, find the two rates.
Answer:
Was there some missing information as if you do 16*18 you get 288 miles
Step-by-step explanation:
Tell whether this figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.
**Note: The arrows show that the lines will keep going until they meet.
GIVING BRAINLIEST
Answer:
They will make 1 triangle the lines will keep going until they meet
From the given triangle only one triangle can be made.
What is geometry?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the unformed triangle is given in the image.
The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.
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At 7:00AM the temperature was -4ºF. At 9:00AM the temperature was 8 degrees warmer. What was the temperature at 9:00AM?
Answer:
4ºF
Step-by-step explanation:
-4 + 8 = 4
what is the inverse function of y=x^2+4
Answer:
does not exist
Step-by-step explanation:
The inverse relation is found by swapping x and y, then solving for y.
x = y^2 +4
x -4 = y^2
y = ±√(x -4)
This is the inverse relation. Since it is double-valued, it is not a function.
__
The function given does not pass the horizontal line test, so there is no inverse function.
Solve for n. 8^ 12÷8^3=8^n
Answer:
9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]
Step-by-step explanation:
Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
7/12 of a carton. How much more yogurt did they eat this week compared to last week?
Answer: 5/24
Step-by-step explanation:
The problem is 7/12-3/8. I got a common denominator of 24, then multipled 8 and 3 by 3, and 7 and 12 by 2. The problem is now 14/25-9/24, which equals 5/24
3. Which ordered pair is a solution of the equation y = x – 2? (1 point) (3, 1) (1, 3) (–1, 3) (3, –1)
WILL GIVE BRAINLIEST!!! Write the equation represented by the table.
Answer: y = 2x+12
Step-by-step explanation:
y = mx + b
the Ys are going down by 6 each time
the Xs are going adding up by 3 each time
radio: 6/3 = 2
that's our slope
--------------------------------
when x is 0 then the y will be our b
which is 12
all together
y = 2x+12
Is the function even, odd, or neither?
Answer:
A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd
Step-by-step explanation:
What is the mode of the following data values?
54, 78, 16, 26, 16
O A. 26
O B. 38
O C. 16
O D. 48
Answer: C. 16
Step-by-step explanation:
The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.
Answer:
C
Step-by-step explanation:
because in the given data the number which is 16 is repeated twice so it means it is the mode. Because when we say mode it is the most used number im the given date
Use a factor tree to write the prime factorization of 80.
Which of the following is a rational number?
A
136
B.
-V12
lo
D
TT
37,422 rounded to the nearest thousand
Answer:
37,000
Step-by-step explanation:
rounds to 37,000
Help! Please. I don’t know what I did wrong.
Answer:
1320, permutation
Step-by-step explanation:
There are 12 members
Pick a president
We have 12 choices
Now there are 11 people left to pick from
now pick a vp
We have 11 choices
Now there are 10 people left to pick from
now pick a secretary
We have 10 choices
12*11*10 = 1320
This is a permutation since it matters who is president, vp and secretary
which subsequent true/false statement is true?
Answer:
True is corect
Step-by-step explanation:
true = true
You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?
Answer: 450 oz
Step-by-step explanation: multiply
Answer:
You can make 18 servings.
Step-by-step explanation:
Explain how to simplify a ratio. Be sure to include an example to support your response
A ratio is an expression used to compare two quantities. A simplified ratio can be taken as is, but if a ratio has not yet been simplified, you should do so to make the quantities easier to compare and understand. In order to simplify a ratio, you divide both terms (both sides of the ratio) by the same number.
Jayden is saving money to buy the new Jordan 11's. He
needs $220 to get them. He already has $60 saved and
he makes $20 a week doing chores around the house
Answer:
it will take Jayden 8 weeks to save money for the Jordan 11's
Step-by-step explanation:
$60 = 3 weeks
$220 = 11 weeks
subtract the three weeks from the amount of time it would take without the saved money
$220 = 8 weeks
or
subtract saved amount from total = $160 and divide by 20
Which of these describes the product of -28 and 5? A negative integer A positive fraction A negative fraction A positive integer
Find the common ratio of the geometric sequence –13, 117, -1053, ...
Answer: -19
Step-by-step explanation:
Use the geometric ratio r=a2/a1
So 117/-13 = -9
-13*-9= 117
117*-9= -1053
2. Javier used a microscope to measure the diameter
of a grain of sand. He found that the diameter of the
grain of sand was 0.00007 centimeters. How is this
number written in scientific notation?
A. 7x 104
C. 7 x 10-6
B. 7 x 105
D. Not Here
Answer:
7 x 10^-5
Step-by-step explanation:
0.00001 is 1 x 10^-5 so multiply that by 7
Answer:
B. 7 x [tex]10^5[/tex] or not here
Step-by-step explanation:
if B. is [tex]10^5[/tex] then it is B. if it is 105 then it is not here
Hope this helped!!
17-32/4^2 • 3+6 HELP ik its 17 but how do i show the work ??
Step-by-step explanation:
1. 4^2 = 16
2. 32/16 = 2
3. 2*3 = 6
4. 17-6=11
5. 11 + 6 = 17
The answer is 17
A train travels at an average rate of 40 miles per hour. How many hours does it take the train to travel 2760 miles?
Answer:the correct answer is 69 hours
Step-by-step explanation:
Answer:
69 hours
Step-by-step explanation:
GIVEN:
Unit rate of 40 mphOverall miles of 2760Using this information, all we have to do is divide 2760 by 40! This will give us an estimate of how many miles this train should take to travel 2760 miles.
[tex]\frac{2760}{40} = 69[/tex]
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