When lines a and b overlap, angle 1 equals angle 3.
What is intersecting lines?The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.
Here,
To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.
Line a and line b intersect (given)
∠3 is supplementary to ∠2 because of linear pair theorem (given)
So, if we take ∠2 as the common angle
And ∠1 is supplementary to ∠2 by linear pair theorem ( option D)
Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3
Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)
This is proved when line a and line b intersect, angle 1=angle 3.
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Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
I got the answer Antonio had a head start of 3 meters.
Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.
Step-by-step explanation: hope this helped! thx for the points :D
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Step-by-step explanation:
this is the answer i hope to get full mark
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation:
The difference of two numbers is 2 their sum is 22 what are the numbers
12+10=22
12-10=22
is the two numbers whose sum is 22 and difference is 2.
cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto?
Answer:
se necesitan aprox 50 galones para llenarlo por completo
what is this 12 x ? = 5
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On Mars, 3 bags of MartianMallows cost 24 space rocks. If each bag contains 10 MartianMallows, how many space rocks does four MartianMallows cost? Express your answer as an improper fraction.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30}= s/4, where s is the cost of four MartianMallows.
Solving for s, we find that s=(24/30)x4= 16/5 space rocks.
16/5
Which one of the following examples represent a repeating decimal?
Answer:
C. 0.777777
Step-by-step explanation:
6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di
Answer:
3456/8 = 432
432 miles per hour
Step-by-step explanation:
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
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Need help............
Answer:
i would say C
Step-by-step explanation:
Helppppppp me with question 5 Tuesday pleaseeeeee
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD
Answer: a, b, and c
Step-by-step explanation:
Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.
What is a polynomial graph equation?At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.
Determine the polynomial functions' zeros' even and odd multiplicities.
Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.
For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.
Given the data,
Let A, B, C, and D represent the graph.
Currently, the graphs' measurements are
A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.
Hence, it has a negative coefficient.
The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.
The third graph is a linear one that is now tilted downward.
Thus, it has a low efficiency.
Hence , the graphs are solved
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1/2(m - 3) = 1/4(m - 7)
I
Solve
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
find the value of x and round to the nearest tenth (geometry)
Answer and Step-by-step explanation:
Just flip the triangle upside down, to make it look more sense.
(Angle) 17
|\
x | \ 47
|__\
We will use the sine trig function to solve for x.
sin(17) = [tex]\frac{x}{47}[/tex]
Multiply by 47 to both sides.
47(sin(17)) = x
Now input into a calculator and solve.
x = 13.74147012
x ≈ 13.7 is the answer.
Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?
A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb
Answer:
5
Step-by-step explanation:
20÷4=5
Help plz:)))I’ll mark u Brainliest
find the highest common factor using prime factorization for 27y and 54y³
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000
Answer:
the selling price is 18,400
Step-by-step explanation:
The computation of selling price is shown below:
Given that
The cost price of the shirts is 20,000
And, there is a loss of 1,600
So, the selling price is
= 20,000 - 1.600
= 18,400
hence, the selling price is 18,400
Translate the sentence into an equation.
Six more than the product of a number and 3 is 2
Answer:
3X+6=3
Step-by-step explanation:
six more can added before or after of the product of a number X and 3. substitute is by =
3x×6=3
Solve for X please show your work
6(x-4)=12
Which statement is not true? Help ASAP! Thanks!!
Answer:
4 option...... .......
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answer:
20%
Step-by-step explanation:
Subtract the original number from the new number: 90-75=15
The increase is 15
Now divide the increase by the original number: 15/75=.20
Then multiply your answer by 100: .20x100=20
Anybody gets this question ???
Answer:
7
Step-by-step explanation:
Can I have Brainliest please?
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What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
48/100
Step-by-step explanation:
because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
I think that A would be the correct answer.