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Paladinen [302]
3 years ago
11

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0
Equilateral triangle
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What are the real solutions to the equation 5x² + 29x + 20 = 0?
Readme [11.4K]

Answer:

x = -5,\: -\frac{4}{5}

Step-by-step explanation:

  • 5x^2 +29x + 20=0

  • \implies  5x^2 +25x +4x+ 20=0

  • \implies  5x(x +5) +4(x+ 5)=0

  • \implies  (x +5) (5x+ 4)=0

  • \implies  (x +5) = 0,\:(5x+ 4)=0

  • \implies  x = -5,\:x=-\frac{4}{5}

  • \implies  x = -5,\: -\frac{4}{5}
3 0
2 years ago
Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are l
AlekseyPX

The length of B'C' in the rectangle A'B'C'D' = 9 units.

<u>Step-by-step explanation</u>:

step 1 :

Draw a rectangle with vertices ABCD in clockwise direction.

where, AB and DC are width of the rectangle ABCD.

            AD and BC are length of the rectangle ABCD.

step 2 :

Now,

The length of the rectangle is AD = 5 units and

The width of the rectangle is AB = 3 units.

step 3 :

Draw another rectangle with vertices A'B'C'D' extended from vertices of the previous rectangle ABCD.

step 3 :

The length of the new rectangle is A'D' which is 4 units down from AD.

∴ The length of A'D' = length of AD + 4 units = 5+4 = 9 units

step 4 :

Since B'C' is also the length of the rectangle A'B'C'D', then the measure of B'C' is 9 units.

3 0
3 years ago
Entre Juan, Pedro, María y Luis tienen 62 cartas. Pedro tiene un tercio de las cartas de Juan. María tiene 3 cartas menos que Ju
fenix001 [56]

Answer:

Luis has 30 cards

Step-by-step explanation:

To solve this problem, we need to setup a system of equations.

If we call the amount of cards Juan has "J", Pedro "P", Maria "M" and Luis "L", we have that:

J + P + M + L = 62

P = J/3

M = J - 3

L = 2J

Substituting P, M and L in the first equation, we have:

J + J/3 + J - 3 + 2J = 62

13J/3 = 62 + 3

13J = 65 * 3

J = 15 cards

The amount of cards Luis has is:

L = 2J = 2 * 15 = 30 cards

8 0
2 years ago
What is the meaning of cubed (enter the number only)
Mariulka [41]

Answer: 3

Step-by-step explanation:

5 0
2 years ago
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Why do we use letters in mathematics?
icang [17]
We use letters to substitute for unknown numbers. I hope this helps. :)
3 0
3 years ago
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