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2 years ago

11

Find the value of x that makes m ∥ n

2 answers:

AURORKA [14]2 years ago

5 0

Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20

Alex73 [517]2 years ago

4 0

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ $3x=2x+20$

Solving this for ''x'' :

$3x=2x+20\\3x-2x=20\\x=20$

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20

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Find the values for c and d

baherus [9]

Answer:

c=-5

d=1

Step-by-step explanation:

$(cy^2)(4y^d)=-20y^3$

I'm going to reorder the left-hand side. Multiplication is commutative.

$(4c)(y^2y^d)=-20y^3$

Since the bases are the same in $y^2y^d$ and the operation is multiplication, I'm going to add the exponents giving me:

$4cy^{2+d}=-20y^3$

So this implies we have two equations to solve:

$4c=-20$ and $2+d=3$

So the first equation can be solved by dividing both sides by 4 giving you $c=-5$ .

The second equation can be solved by subtracting 2 on both sides giving you $d=1$ .

6 0

2 years ago

Can someone. help me solve this pls .

olchik [2.2K]

Answer:

1.108

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7 0

2 years ago

A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Geometry</u>

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<u>Calculus</u>

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Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$ <u />

<u />

<u>Step 2: Differentiate</u>

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

<u>Step 3: Solve for Rate</u>

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

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(x^3+10x^2+2)/(x+10)

SCORPION-xisa [38]

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Step-by-step explanation:

We need to divide: $\frac{\left(x^3+10x^2+2\right)}{x+10}$

The division is shown in figure attached.

The quotient is x^2

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Keywords: Division of polynomials

Learn more about Division of polynomials at:

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8 0

2 years ago