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Furkat [3]
3 years ago
14

The 17 students on the math team wanted to raise $483.62 to buy practice books.they have already raised $218.25 if each student

raises the same amount,how much more money must each student raise
Mathematics
2 answers:
mestny [16]3 years ago
6 0
Each student needs to raise $15.61
Zina [86]3 years ago
5 0
Each student needs to raise $15.61 to buy practice books for the Math team.
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Given the line a and b are parallel angles 1 and5 are congruent because they are
kakasveta [241]

Answer:

Step-by-step explanation:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles.

figure51

Vertical angles are always congruent, which means that they are equal.

Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap.

figure52

The size of the angle xzy in the picture above is the sum of the angles A and B.

Two angles are said to be complementary when the sum of the two angles is 90°.

figure53

Two angles are said to be supplementary when the sum of the two angles is 180°.

figure54

If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal

When a transversal intersects with two parallel lines eight angles are produced.

figure55

The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

Example

figure56

The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65°?

6 and 8 are vertical angles and are thus congruent which means angle 8 is also 65°.

6 and 2 are corresponding angles and are thus congruent which means angle 2 is 65°.

6 and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°.

4 0
3 years ago
Helpppppppp pweaseeeee
AlladinOne [14]

length=6

breath=15

height=12

therefore,12+3+15

=30cm

6 0
3 years ago
Read 2 more answers
What value of x makes this equation true , use numerals instead of words.<br> -2x+3=-15
uysha [10]

Answer:

x = 9

Step-by-step explanation:

-2x + 3 = -15

-2x = -18

x = 9

7 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2
Nimfa-mama [501]

First of all, we can observe that

x^2-6x+9 = (x-3)^2

So the expression becomes

\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}

This means that the expression is defined for every x\neq 3

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2

Since we can't accept 3 as an answer, the actual solution set is

(-\infty,-2] \cup [2,3) \cup (3,\infty)

7 0
3 years ago
Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8
fenix001 [56]

Answer: 36 cars and 9 motorcycles


Step-by-step explanation:

  1. It's given that he has x motorcycles to 4x cars
  2. After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
  3. Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
  4. Once you solve you get 36 cars and 9 motorcycles
6 0
3 years ago
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