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3 years ago

What must be true for lines a and b to be parallel lines? Check all that apply

Mathematics

1 answer:

iren [92.7K]3 years ago

3 0

the question does not present the options, but this does not interfere with the resolution

we know that

if a and b are parallel lines

1) m∠2=58°------> by corresponding angles

2) m∠1=4x-10------> by alternate exterior angles

3) [m∠2+m∠(3x-1)]+m ∠1=180°------> by supplementary angles

58+(3x-1)+4x-10=180

7x=180-47

7x=133

x=19°

4) angle (4x-10)=-4*19-10-------> 66°

5) angle 3x-1=3*19-1-------> 56°

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Solve the quadratic equation 3x²+x-5=0

PIT_PIT [208]

This does not look easy to factor, so I'd suggest using the quadratic formula:
-1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
2*3

-1 plus or minus sqrt(61)
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Thus, there are 2 real, unequal, irrational roots / solutions.

8 0

3 years ago

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

Tema [17]

Answer:

592 hours

Step-by-step explanation:

Given

$Area = 11000m^2$

$Radius = 0.10m/h$

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

$59.1877074516 = 0.10t$

Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

$\frac{59.1877074516}{0.10} = t$

$591.877074516 = t$

$t = 591.877074516$

$t = 592\ hours$ (Approximated)

Hence, it'll take approximately 592 hours to cover the given area

3 0

3 years ago

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Choose the point-slope form of the equation below that represents through the points (-3,2) and (2,1)

s2008m [1.1K]

Answer:

-1/4

Step-by-step explanation:

2-1 over -3-1 = 1/-4

3 0

3 years ago

Please help worth a lot of points!!!

V125BC [204]

Let's solve this problem step by step

$2x+3=4(x-6)$ | Given Equation

$2x+3=4x-24$ | Distributive Property of Multiplication over subtraction

$3=2x-24$ | Subtraction Property of Equality

$27=2x$ | Subtraction Property of Equality

$\frac{27}{2}=x$ | Division Property of Equality

Definition of each property:

Distributive Property of Multiplication over subtraction: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.
Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the same
Division Property of Equality: if the same value is divided from two equal sides, the equation remains the same

Hope that helps!

8 0

1 year ago

Please help, will give brainlist.

SpyIntel [72]

Answer:

Step-by-step explanation:

18 x 8.3 = 149.4

5 0

3 years ago

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