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3 years ago

A system of equations is graphed on the coordinate plane.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

7 0

Answer:

Step-by-step explanation:

it is correct.

solution is intersection of two lines.

it is x=-0.5 and y=1.5

or (0.5,1.5)

provided each square represents 1 unit.

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Please Help ! Will give brainliest!

sveta [45]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

3 0

3 years ago

1. Divide

BartSMP [9]

Answer:

656×756÷765+656+65=

Step-by-step explanation:

it was soo easy now i get what it is talking about no

6 0

3 years ago

A ball of mass 0.4 kg flies through the air at low speed, so that air resistance is negligible. What is the net force acting on

arsen [322]

Answer:

-3.92 N

Step-by-step explanation:

We are given that

Mass of ball=0.4 kg

Acceleration due to gravity= $-9.8m/s^2$

Because the ball flies against to gravity

We have to find the net force acting on the ball while it is in motion.

We know that when there is no air resistance then the net force acts on the ball is equal to weight of ball.

Net force,F =mg

Substitute the values then we get

$F=0.4(-9.8)$

$F=-3.92N$

Hence, the net force acting on the ball while it is on motion=-3.92 N

6 0

2 years ago

Find C to form completing Square<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%20%2B%20C" id="TexFormula1" title="x^

postnew [5]

Answer:

$\frac{25}{4}$ (or 6.25)

Step-by-step explanation:

Let's do a simple square problem to see the relationship between the elements of the resulting equation...

$(x+3)(x+3) = x(x+3) + 3(x+3) = x^{2} +3x + 3x + 9 = x^{2} + 6x + 9$

As you see, the number of 'x' (6) is the double of the numeric part of the binomial expression (3), while the numeric-only part (9) is the square of the numeric part of the binomial expression (3).

So, if we look at the formula from the problem, we see the the number of 'x' is 5. To obtain the C value, we need to divide the 5 by 2... then get the square value of the result.

$\frac{5}{2} * \frac{5}{2} = \frac{25}{4}$ (or 6.25)

3 0

3 years ago

What is 67 divided by 6 and what is the remainder

ahrayia [7]

6 x 11= 66
67 - 66 = 1

67/6 = 11
remainder= 1

7 0

3 years ago

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