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Blizzard [7]
1 year ago
5

Lines m and n are cut by transversal l. Lines m and n are cut by transversal l. On line m where it intersects line l, 4 angles a

re created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line n where it intersects line l, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7. Which angle relationships are correct? Check all that apply. ∠1 and ∠8 are alternate exterior angles. ∠4 and ∠6 are same side interior angles. ∠5 and ∠7 are vertical angles. ∠2 and ∠8 are corresponding angles. ∠3 and ∠6 are alternate interior angles.
Mathematics
2 answers:
Semmy [17]1 year ago
5 0

∠1 and ∠8 are alternate exterior angles and ∠3 and ∠6 are alternate interior angles

step-by-step explanation:

When the transversal crosses line m and n, alternate angles are the pair of angles formed on the outside of each of the lines and opposite side of the transversal (∠1 and ∠8). However,alternate interior angles will form opposite of the transversal but inside the lines.(∠3 and ∠6 ).

Learn More

brainly.com/question/12441758

Keywords : Transversal, angles

#LearnwithBrainly

Bogdan [553]1 year ago
5 0

Answer:

a, b, e

Step-by-step explanation:

got it right on edge

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What are the solutions of the equation (x – 3)2 + 2(x – 3) -8 = 0? Use u substitution to solve.
Andrej [43]

Answer:

x = -1 and x = 5

Step-by-step explanation:

<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>

<em />

(x – 3)² + 2(x – 3) -8 = 0   -------------------------------------------------------(1)

To solve this problem, we will follow the steps below;

let u = x-3

we will replace x-3 by u in the given equation:

(x – 3)² + 2(x – 3) -8 = 0  

u² + 2u -8 = 0  ----------------------------------------------------------- --------------(2)

We will now solve the above quadratic equation

find two numbers such that its product gives -8 and its sum gives 2

The two numbers are 4 and -2

That is; 4×-2 = -8    and 4+(-2) = 2

we will replace 2u by (4u -2u)  in equation (2)

u² + 2u -8 = 0

u² + 4u - 2u -8 = 0

u(u+4) -2(u+4) = 0

(u+4)(u-2) = 0

Either  u + 4 = 0

            u = -4

or

u-2 = 0

u = 2

Either u = -4    or u = 2

But  u = x-3

x = u +3

when u = -4

x = u + 3

x = -4 + 3

x=-1

when u = 2

x = u + 3

x = 2 + 3

x=5

Therefore, x = -1  and  x =5

x

6 0
2 years ago
Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.
prisoha [69]

Answer:

Increasing

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Step-by-step explanation:

8 0
1 year ago
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g100num [7]
To solve this we are going to use the formula fro the force applied to a spring: F=ks
where
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Since we know the F=ma, we can replace that in our formula and solve for a :
ma=ks
a= \frac{ks}{m}
where
a is the acceleration 
k is the spring constant
s is the extension 
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We know for our problem that k=200, s=0.4, and m=25. So lets replace those values in our formula to find a:
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7 0
1 year ago
In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,
DochEvi [55]

Answer:

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Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

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Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

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Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

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Answer:

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