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3 years ago

Solve for X Explain if possible :)

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

The two labeled angles are alternate interior angles, and as such, they are the same.

From this result you can build the equation

$15x-2 = 13x+2$

and solve it for x: subtract 13x from both sides to get

$2x-2=2$

and add 2 to both sides to get

$2x = 4 \implies x = 2$

Check: if we plug the value we found we have

$13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2$

So the angles are actually the same, as requested.

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Answer this pls..................

Sindrei [870]

Answer:

so we know:

total of 20 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

chemistry has a total of 14 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14

8 students are in physics

1 2 3 4 5 6 7 8

3 are in all of them

1 2 3

1) underline the main 3

total of 20 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

chemistry has a total of 14 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14

8 students are in physics

1 2 3 4 5 6 7 8

2) lets bold the physics students, if you are in physics you have to do chem so that means 8 of the chem students also take physics.

total

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 9 10 11 12 13 14

physics

1 2 3 4 5 6 7 8

3) now we bring biology into the "equation"

off the bat we know 3 are definitely in Biology.

so if 4 study ONLY biology we can cross them off our list see the {}

total

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3 

4) so we have a total of 20 students, 3 in all of the classes (underlined), 8 in physics (bolded). If there 14 in chemistry, 4 take ONLY chemistry {}, 8 take chemistry as well (bolded), that leaves two students, so they must belong in biology. lets italicise them.

total

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3  13 14

5) out of our total of 20 students we know 14 of the students classes, so the remaining six must be in biology.

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3 13 14 15 16 17 18 19 20

6) so that was our "diagram" so now lets count how many are in chemistry and biology but NOT physics.

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

-1 2 3 4 5 6 7 8- {9 10 11 12} 13 14

physics

-1 2 3 4 5 6 7 8-

biology

-1 2 3 -13 14 15 16 17 18 19 20

there are 14 students in chemistry and 11 in biology, 5 of them are in both classes so 14-5= 9 and 11-5= 6 9+6=16. BUT 8 of those sixteen are also in -physics- so we arent counting them, we put those students in dashes. so lets count the students out of the dashes. so twelve of them are in chemistry and biology but not physics.

7) so how many are in just biology but not the other classes? lets look at the graph.

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3 13 14 15 16 17 18 19 20

in the class of biology students 1 2 3 13 and 14 take other classes that leaves students 15 16 17 18 19 and 20. so 6 students take ONLY biology.

sorry its long but i hope this helps!

3 0

3 years ago

Please help

pychu [463]

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:

(1, 0): 1² - 1 = 0

(2, 3): 2² - 1 = 4 - 1 = 3

(3, 8): 3² - 1 = 9 - 1 = 8

(4, 15): 4² - 1 = 16 - 1 = 15

So for any x:

(x, y) y = x² - 1

6 0

3 years ago

The Therrell High Marching Band is selling candy bars for a fundraiser.

igor_vitrenko [27]

Answer:

3x ≥ 45

15, 20 , 25

Step-by-step explanation:

Let's call the number of bars Renee sold as " x "

Let's call the number of bars Robin sold as " y "

Robins, y, sold two times as many bars as Renee, x

That means Robin sold 2 times x or 2x

So y = 2x

The sum of bars Renee, x, and Robin, 2x, sold together are no less than 45

No less than 45 means the number of bars have to be greater than or equal to 45

x + 2x ≥ 45

3x ≥ 45

x ≥ 15

Renee can sell, 15, 20, or 25 bars . (just has to be bigger or equal to 15)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6 0

2 years ago

5x+ 1/4= 61/4 I’m trying to figure out what x is

umka21 [38]

I READ IT WRONG AHH

Answer:

Step-by-step explanation:

5x + 1/4 = 61/4

-1/4 -1/4

5x = 15

/5 /5

x = 3

4 0

2 years ago

Read 2 more answers

Which does not belong to the group? a) candle b) flashlight c) mirror d) sun

Illusion [34]

The mirror does not belong.

6 0

3 years ago

Read 2 more answers