Which of the angles below are vertical? *

Answers

Answer 1

Answer:

Angle 1 and Angle 3

Step-by-step explanation:

When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!

Answer 2

The angle 1 and angle 3 are vertical angles

What are vertically opposite angles?

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

According to question

angle 1 = angle 3 ( vertically opposite angle )

angle 2 = angle 4 ( vertically opposite angle )

Hence, angle 1 and angle 3 are vertically opposite angle.

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Related Questions

Marcus can carry a maximum of 25kg of gravel at one time
How many joumeys will he need to make to shift one and
half tonnes of gravel?

Answers

Answer: 60 journeys

Step-by-step explanation:

1 ton = 1000 kgs

1.5 tons = 1500 kgs

1500/25 = 60 journeys

Answer:

55 journeys.

Step-by-step explanation:

907185 gm = 1 ton

453592.5 gm = 1/2 ton

1360777.5 gm = 1 1/2 ton

Convert to kg (1000g= 1kg)

Then divide by 25kg

=1360.7775/25 = 54.4311

Round up decimal to 1

= 55 journeys

In what ways are sine and cosine graph similar? Be sure to include a discussion of intercepts, maxima, minima, and period.

Answers

Answer:

The sine and cosine functions are similars in:

They are periodic functions with a period of 2π.

The domain of each function is (−∞,∞) and the range is [−1,1]. Both has maxima in 1 and a minimal in -1.

HLP ! HLP ! HLP ! Last one

Answers

It would be the first one.

I converted each equation into the form y =\<\> Mx+b to find the slope and y intercept.
We know that the slope will be positive since the line is positive linear. We also know that the y intercept is 3, since the line crosses the y axis at 3.
Since the shaded part is above the line, the sign used will be this one: >
So therefore it’s the first one....

Consider the following simplified algebraic expression. 10 x squared y + 6 x squared minus 7 y squared minus 6 Which could be the original expression? 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared + 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x + 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 minus 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4

Answers

9514 1404 393

Answer:

(b) 8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4

Step-by-step explanation:

Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.

The appropriate choice on this list appears to be the second choice.

_____

Comment on the problem

In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.

Answer:

Step-by-step explanation:

i am smart

Write the equation of the line passing through the points (10, 50) and (25, 20).

Answers

To write the equation, we need the slope and y-intercept.

Remember that slope is the same as rate of change

or the change in y over the change in x.

Start by setting up a table with x and y values

which I have provided below.

Filling out our table, our given points are (10, 50) and (25, 20).

In the y column, we can see that the value of y

goes from 50 to 20 so it decreases by -30.

This means that the change in y is -30.

In the x column, we can see that the value of x goes from 10 to 25

so it increases by 15 which means that the change in x is 15.

So the rate of change is -30/15 which simplifies to -2.

To find b, we can use any ordered pair

in our table as the values for x and y.

Let's use the first ordered pair.

So we have 50 = -2(10) + b.

Solving from here, we get 50 = -20 + b.

Now add 20 to both sides to get 70 = b.

So if our slope is -2 and our y-intercept is 70,

we can substitute these values into our formula.

This gives us y = -2x + 70.

Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these

Answers

Answer:

girl

Step-by-step explanation:

What in the world 3000%

An isosceles triangle has legs whose lengths are 10 inches and a base whose length is 12 inches. Which of
the following is the area of the triangle in square inches?
(1) 34
(2) 48
(3) 60
(4) 84

Answers

Answer:

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

Can you help me out on this question?

Answers

Answer:

4. x= 18

Step-by-step explanation:

We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x

We then use cross-multiplication to solve for x.

What is the product? (x^4)(3x^3-2)(4x^2)(4x^2+5x)
(A 12x^9+15x^8-8x^6-10x^5
(B 12x^24+15x^12-8x^8-10x^4 (C 12x^9-10x^5
(D 12x^24-10x^4

Answers

Answer:

Definitely A

Step-by-step explanation:

When multiplying you add exponents.

[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]

Answer:

Step-by-step explanation:

1000% sure. Use foil method and add exponents together... Also on edge.

(27)^-2/3 is equal to

Answers

Answer:

1/9

Step-by-step explanation:

(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9

Answer:

=1/9

Step-by-step explanation:

Apply exponent rule: a^-b=1/a^b

(27)^-2/3 = 1/(27)^2/3

Step-by-step method in attachment:

Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.

Answers

Answer:

15/2

Step-by-step explanation:

5*6/4=30/4=15/2

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

Answer

The answer is 2 pieces and 30ft

Ruth contributes 18% of the total cost of her individual health care. This is $67.50
deduction from each of her biweekly paychecks. What is the total value of her individual
coverage for the year?

Answers

Total value of annual health coverage = $ 9000

Calculation of total annual health coverage

Let the total annual health care expenditure = x

Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

And, total paid for full year = 135 x 12 = 1620

As mentioned, she pays 18% of total annual health care expenditure

Hence, 18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= 9000

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Answer:

Step-by-step explanation:

Total value of annual health coverage = $ 9000

Calculation of total annual health coverage

Let the total annual health care expenditure = x

Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

And, total paid for full year = 135 x 12 = 1620

As mentioned, she pays 18% of total annual health care expenditure

Hence, 18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= 9000

Select two ordered pairs that satisfy the function y = –4x – 1.

Answers

X = -0.25 and x = -2^-2
I’m not sure if this helps

Answer:

(-0.25,0) and (0,-1)

Step-by-step explanation:

I used a graphing calculator.

Put function the the calculator

then ind two points on the function and that is your answer

Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.

Answers

Answer:

The correct answers is:

The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions

Step-by-step explanation:

Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.

We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.

Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week

Which graph represents the function f(x)=3x5^x

Answers

Answer:

top right corner

Step-by-step explanation:

Determine the value of y in the figure, and identify whether the triangle is isosceles or equilateral. answers: y = 30°; equilateral y = 30°; isosceles y = 60°; equilateral y = 60°; isosceles

Answers

Answer: equilateral y=60

Step-by-step explanation:

The sum of all the angles in a triangle add up to 180 degrees. So, because you have the angle measurement of two sides, you can set up an equation to solve for the third side: 60+60+x=180 (do the math and you end up with y=60)

And because all three of the angle measures are equal, the triangle is defined as an equilateral triangle.

The value of y is 60° and the given triangle is Equilateral.

What are Triangles?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

We have a triangle where one of the angle is unknown.

Sum of the interior angles of a triangle is 180 degrees.

60° + 60° + y° = 180°

120° + y° = 180°

y° = 180° - 120°

y° = 60°

Equilateral triangles are those triangles whose all sides and all angles are equal.

Isosceles triangles are those whose 2 sides or 2 angles are equal.

Since all angles are equal to 60° here, this is an equilateral triangle.

Hence the given triangle is an equilateral triangle with the unknown angle equals 60°.

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In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?

AWARDING MAX POINTS

Answers

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)

We can see in the diagram the chord AB and chord CD intersect each other at point E.

Each of the chord is divided into two segments.

According to the Intersecting Chords Theorem:

Products of the lengths of line segments on each chord are equal

Which means that

(AE)(EB) = (CE)(ED)

Substitute the given values;

(4)(EB) = (10)(6)

4(EB) = 60

EB = 15

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15

directions for constructing the centroid of a triangle?

Answers

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

Hey so I'm doing slope-intercept and I understand it and have been moving on, but I'm confused at this: "2 = -4 + b 6=b" How did the -4+b turn into 6=b?

Answers

Answer:

By adding 4 to both sides.

2= -4 +b

2= b -4

2+4= b-4 +4

6= b

Another way to look at it is to move all the constants to one side. Here we have the constant 2 on the left hand side, and on the right we have the constant -4 and the variable b.

To isolate b, we move the constant -4 to the left hand side. Moving a number to the other side of the equal sign changes the sign of the number. So, -4 becomes a +4 on the left hand side.

2 +4= b

6= b

Select solutions that satisfy the inequality (picture)

Answers

The one that satisfy the inequality is B

if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)

Answers

Answer:

work is shown and pictured

Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?

Answers

Answer:

51.25

Step-by-step explanation:

Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.

Answer:

Multiply the price with the tip rate

18% = 0.18

62.5 x 0.18 = 11.25

that is the tip. We add that on to find the total price

62.5 + 11.25 = 73.75

73.75 dollars is the answer. Hope this helps

Step-by-step explanation:

Find the infinite geometric sum of 4+2.4+1.44+...

Answers

Answer:

4+2.4=6.4+1.44=7.84

The infinite geometric sum of 4+2.4+1.44+... will be 10.

What is the common ratio?

At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.

It is given that, the sequence is 4+2.4+1.44+...

The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is obtained that the common ratio is,

r=2.4/4

r=0.6

The Sum of an infinite geometric sequence is,

S = a / (1-r)

S=4 / (1-0.6)

S=10

Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.

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A falling object travels a distance given by the formula d= 3t + 3t ^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 50 feet?

Answers

Answer:

3.61 sec

Step-by-step explanation:

Set the given d= 3t + 3t ^2 equal to 50 and solve for t:

3t^2 + 3t - 50 = 0

This is a quadratic equation with coefficients 3, 3 and -50. The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609

The roots of this quadratic are therefore:

-(3) ± √609 -3 ± 24.68 21.68

t = -------------------- = ------------------- = ----------- = 3.61 sec

2(3) 6 6

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