Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3​

Line I Is Parallel To Line M. If The Measure Of &lt;6 Is 75, What Is The Measure Of &lt;3

Answers

Answer 1

Answer:

m∠3 = 105°

Step-by-step explanation:

Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.

m∠3 + m∠6 = 180° [Consecutive interior angles]

Since, ∠6 = 75° [Given]

m∠3 + 75° = 180°

m∠3 = 180 - 75

        = 105°

Therefore, measure of ∠3 is 105°.

Answer 2

In the given diagram, the measure of ∠3 is 105°

From the question,

We are to determine the measure of ∠3

In the diagram, ∠3 and ∠6 are consecutive interior angles

NOTE:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

That is,

∠3 + ∠6 = 180°

From the given information,

∠6 = 75°

Then, we can write that

∠3 + 75° = 180°

∠3 = 180° - 75°

∠3 = 105°

Hence, the measure of ∠3 is 105°

Learn more on finding the measures of angles here: https://brainly.com/question/2883630


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Answer:

n<50

Step-by-step explanation:

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Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
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2x + y = 100, 5y + x = 29

Answers

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

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Susan and James will put their money together. What is the most expensive snack they will be able to buy? Math

Answers

Answer:

What snacks can they buy? if Susan and James don't know that they must be slow, might as well not even buy snacks if they can't figure that out.

Step-by-step explanation:

Where are the choices or the prices of the snacks

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What is the length of AD? The picture is attach....

Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

it moves 2 to the right

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Answers

The answer is 45
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Points A,B, and C are collinear. Point B is between A and C. Solve for x.
Find x if AB = 2x-14, BC = x+4 and AC =14

helpp will give brainliest

Answers

Answer:

Ac=14 is you answer i think

Step-by-step explanation:

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1. Eating at a nice restaurant, the waitress brings you a bill for $57.65. If
you want to leave 20%, what is the tip amount?

Answers

The tip amount will be 11.53 dollars

Answer:

I think 11 dollars but I don't know how many cents close to another dollar though so it would be somewhere around 11-12$

Seahorses change color and swim together in predetermined ways before mating. These behaviors are called
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Mrs. Russell bought a computer for $250. The tax was 7%. What was the total cost of the computer with tax?

Answers

Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

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solve for 2x+2(x−5)=6

Answers

Answer:

x=4

Step-by-step explanation:

Solve 7x - 9 = 28 + 4(x - 1).

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Answers

Answer is A. X= 11
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Answers

Xienfjejcne where’s the equation homie

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Answers

Answer: I'm pretty sure it would be no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

y_<_2x

4_<_2(3)

4_<_6

true

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false

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Jimmy was walking to get the mail; at which time he fell into a hole and broke his ankle. He has a PPO insurance plan. His total bill was $2,000. If Jimmy has a $1,000 deductible with an 80/20% co-insurance, how much total will Jimmy have to pay out of pocket? Show your work.

Answers

Answer: $200

Step-by-step explanation:

Since there is a deductible here, you deduct it from the total bill first:

= 2,000 - 1,000

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Find the solution between - x - 3y = 6 and the equation of the line shown on the graph below.

Answers

Answer:

They are the same line.

Step-by-step explanation:

y = -1/3x - 2

-x - 3y = 6

First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.

Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.

-3y = x + 6

Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).

-3y = x + 6. -> y = -1/3x - 2

So, your final equation for -x - 3y = 6 should be;

y = -1/3x -2

Bringing down the other equation, we get:

y = -1/3x - 2 and y = -1/3x - 2

Making both equal to each other (they cancel each other out).

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(And sorry that this is a long explanation)

PLEASE HELP AND SHOW WORK​

Answers

Answer:

38) Angle 2 = 32°; angle 1 = 32°; angle 3 = 110°

39) Angle 3 = 81°; Angle 2 = 28°; angle 1 = 71°

Step-by-step explanation:

38) angle 2 = 180 - (110 + 38)

This is because sum of angles in a triangle is equal to 180°. Thus;

Angle 2 = 32°

Angle 1 = 38° due to the postulate that alternate interior angles are equal

Angle 3 = 110° due to corresponding angles postulate

39) Angle 3 = 81° due to the postulate that alternate interior angles are equal

Angle 2 = 28° due to the postulate that alternate interior angles are equal

Angle 1 = 180 - (81 + 28) = 71° due to the fact that angles in a triangle sum up to 180°

Find the LCM of 18e2x, e2t and y3.
In a class of 45 students, there are 12 girls. What percentage of the girls are in the class?

Please explain!

Answers

Answer:

12/45 = 0.26666666

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An expression is shown below:

the square root of 32 plus the square root of 2

Which statement is true about the expression?
the square root of 32 plus the square root of 2
It is rational and equal to 4 times the square root of 2.
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It is rational and equal to 5 times the square root of 2.
It is irrational and equal to 5 times the square root of 2.

Answers

Answer:

C or D...

im guessing

Answer:

√32=√(16*2)=4√2  

4√2 + √2=5√2

That is why is irrational

Step-by-step explanation:

find the value of the expression below x=2 3x​

Answers

x=2
So that would mean
3(2)=6
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I REALLYYYYY NEED HELP PLSSSS NO DUM ANSWERS I SERIOUSLY NEED HELP

Answers

Answer:

First blank: 869x

Second blank: 17,575

D

Step-by-step explanation:

Men (f): 389x + 7500

Women (g): 480x + 10075

Equation: (f + g)

Equation: 389x + 7500 + 480x + 10075

Combine like terms

869x + 17575

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2x + 5 = 13
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Answers

Answer: 4
Subtract 5 from both sides
You end up with 8
Divide 2 by 8
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2x = 8

*divide both sides by 2*

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15x - 2 =

Answers

Answer:

118

Step-by-step explanation:

15(8)-2

120-2

118

Brainly plss?

Answer:

118

Step-by-step explanation:

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Could use some help please
2x+y=-4
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Answers

Answer: 3y=12−2x 3 y = 12 - 2 x

Step-by-step explanation:

Answer:

Let

2x+y=-4——(1)

-3y=2x+12

2x+3y=-12—-(2)

Deduct eqt 1 from 2

(2x+3y=-12)

-(2x+y=-4)

2y=-8

y=-4

Put y=-4 into eqt 1

2x-4=-8

2x=-8+4

2x=-4

Divide both sides by 2

x=-2

:. x,y= -2,-4

Step-by-step explanation:

X+4²=2 answer plz plz​

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

X+4²=2  Equation

Step 2

X+4²=2  4x4

x+4^2=2

Step 3

x+4^2=2  subtract 4^2

answer

x=-14

hope this helps

Please I dont wanna fail :( help me

Answers

Answer:

f = 132 degrees

Step-by-step explanation:

The total angle measure of this is 360 degrees. We know 2 of the angles, so subtract them from 360 to get 198. The sum of f and g must equal 198 degrees. Since we know that f = 2g, we can divide 198 by 3 to get 66. So, we know g = 66. To find f, multiply 66 by two to get 132. So, g = 66 and f = 132

200-123+289-2/2=????

Answers

Answer:

365

Step-by-step explanation:

200-123+289-2/2

77+289−2/2

366−2/2

366−1

= 365

A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.

Answers

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

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