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Rina8888 [55]
3 years ago
7

Graph with a line going through points zero comma two point five and four comma two point five.

Mathematics
1 answer:
german3 years ago
7 0
(0,2.5)(4,2.5)...u will notice that the y's are the same.....that means this is a horizontal line and y will always be 2.5.

so u want a perpendicular line...going through (3,-1)...a perpendicular line would be a vertical line...and a vertical line is represented by x = a number...so look at ur points (3,-1)....what number is in the x spot ? It is 3.....so ur perpendicular line is : x = 3
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Help i really have no clue not sure where to start
Juli2301 [7.4K]

Focus on the top line angles for now.

Those two angles combine to the straight angle ABC, which is 180 degrees.

(angleABY) + (angleYBC) = angle ABC

(x+25)+(2x+50) = 180

(x+2x) + (25+50) = 180

3x+75 = 180

3x = 180-75

3x = 105

x = 105/3

x = 35

We'll use this x value to find that:

  • angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
  • angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees

Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.

The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.

6 0
2 years ago
Read 2 more answers
The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of
olga_2 [115]
Sub in given values to get 2 equations.

a + b \cos(2*0) = -1 \rightarrow a+b = -1 \\  \\ a+b \cos(2*\frac{\pi}{2}) = 7 \rightarrow a - b = 7

Solve system using elimination.  Add the equations together, cancelling out 'b'
2a = 6 \\  \\ a = 3

Sub into first equation to get value for 'b'
3+b = -1 \\  \\ b = -4
4 0
4 years ago
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 l
kvv77 [185]
<h3>Answer:  21600 </h3>

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

3 0
3 years ago
A single card is drawn from a standard 52 card deck. Work out the probability of choosing "an ace". Give your answer in its simp
Furkat [3]

Answer:

1/13

Step-by-step explanation:

Total cards = 52

No: of aces in the cards= 4

Probability = 4/52 = 1/13

I hope im right!!1

5 0
2 years ago
In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find t
valkas [14]
Large fish:10
Small fish: 5
Total: 15
Large fish with red: 5
Probability: 5/15 or 1/3 or 33.333333%

Please mark brainliest if this helped
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6 0
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