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3 years ago

Two lines have slopes of 1/2 and 2. Are the lines perpendicular? Explain.

Mathematics

2 answers:

Kazeer [188]3 years ago

8 0

Answer:

Step-by-step explanation:

Perpendicular slopes, when multiplied together, equal negative 1

1/2 *2 = 1 not negative 1

These lines are not perpendicular

Natali [406]3 years ago

7 0

Answer:

The lines are not perpendicular

Step-by-step explanation:

m1=1/2

m2=2

m1*m2=1/2*2=1

Lines are perpendicular when m1 * m2 = -1 because m1 * m2 = 1 these lines are not perpendicular

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Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a

BartSMP [9]

Answer: The required conclusion is

"if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent".

Step-by-step explanation: Given that in triangle ABC, AB ≅ AC, implies that AB = AC must be true. We are given to assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other.

If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

For the same reason, if m∠B < m∠C, then AC < AB.

This is a contradiction to the given information.

We are to state the conclusion.

Since in the beginning, it is given that AB ≅ AC and we have assumed that ∠B and ∠C are not congruent, so

our assumption must be wrong.

That is, ∠B and ∠C must be congruent.

Thus, the required conclusion is

if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent.

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2 years ago

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Quadrilateral QRST is a square. If the measure of angle RQT is 3x - 6. Find the value of x.

trapecia [35]

Given that quadrilateral QRST is a square.

Each angle of a square is of 90 degrees.

Angle <RQT is also an angle of 90 degrees.

We also given angle RQT = 3x - 6.

So, we can setup an equation as 3x-6 =90.

Now, we need to solve the equation for x.

6 is being subtracted from left side.

We always apply reverse operation. Reverse operation of subtraction is addition.

So, adding 6 on both sides of the equation, we get

3x-6+6 =90+6.

3x = 96.

3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.

So, dividing both sides by 3.

$\frac{3x}{3} = \frac{96}{3}$

x=32 (final answer).

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2 years ago

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Bas_tet [7]

Answer:

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Step-by-step explanation:

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3 years ago

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eimsori [14]

Answer:

10 mm = 1 cm

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=0.4 cm

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3 years ago

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<img src="https://tex.z-dn.net/?f=24x%5E%7B2%7D%2Bbx%5E%7B2%7D%20%3D25x%5E%7B2%7D" id="TexFormula1" title="24x^{2}+bx^{2} =25x^{

Liula [17]

Answer:

x = 0

Step-by-step explanation:

Subtract 25x^2 from both sides

24x^2 + bx^2 - 25x^2 - 25x^2

Simplify

bx^2 - x^2 = 0

Factor bx^2 - x^2: x^2(b - 1)

bx^2 - x^2

Factor out common term x^2

= x^2 (b - 1)

x^2(b - 1) = 0

Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0

x^2 = 0

Apply rule x^n = 0 x = 0

x = 0

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2 years ago