Two parallel lines are crossed by a
transversal.

Answers

Answer 1

Answer:

h = 60˚

Step-by-step explanation:

Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles, meaning they add up to 180˚.

180˚ - 120˚, or 60˚ is your answer.

h = 60˚

Answer 2

The solution is, the value of h is, h = 60˚

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

Look at where it shows the 120˚, and its vertical angle.

Vertical angles are congruent, or the same meaning it's also 120˚.

now, we have,

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same.

We call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles,

meaning they add up to 180˚.

so, we have,

180˚ - 120˚,

or 60˚ is your answer.

i.e.

h = 60˚

Hence, The solution is, the value of h is, h = 60˚

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Related Questions

solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

can anyone please solve this

Answers

Answer:

Its ether 3 or 4.

Step-by-step explanation:

its more than likely its 4 but I wasn't %100 sure.

The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.

Answers

Answer

The armadillo and Glyptodon descended from a common ancestor.

Step-by-step explanation:

Which situation results in a zero balance?
A Jenny uses her credit card to buy a $1,400 refrigerator and then makes a payment of
$1,400 to her credit card company.
B Pedro deposits $2,346 into a new checking account and then writes a check for $346.
C Eliza spends $150 on supplies for her business and then spends $150 in rent.
D Juanita earns $75 from her job and receives $75 from her sister.

Answers

Answer:

Step-by-step explanation:

0 - 1400 = -1400 + 1400 = 0

The answer to This question is A

Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): -5, -3,1.
Assume the leading coefficient is 1.

Answers

Answer:

f(x) = x^3 + 7x^2 + 7x -15

Step-by-step explanation:

f(x) = (x+5)(x+3)(x-1)

f(x) = (x^2 + 3x + 5x + 15)(x-1)

f(x) = (x^2 + 8x + 15)(x-1)

f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15

simplify

f(x) = x^3 + 7x^2 + 7x -15

Answer:

[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].

Step-by-step explanation:

By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)

For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].

Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].

All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].

Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:

[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].

When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:

[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].

A jacket's REGULAR price is $65.00. It is on clearance for 40% off. you have to pay 5% sales tax What is the final price for the jacket. Please show how to calculate the 5% sales tax thoroughly.

Answers

Answer:

circle tttdonuts

Step-by-step explanation:

d crystal

Is squirrel?
??????????????????????????????????????????????????????????????????????????????????

Answers

Answer: yes squirrel is ?????

The Zenith occurs in fall equinox. At the same day, find the altitude of the sun at noon at Phnom Penh city (11.50N).

Note: subject Earth Science.

Answers

Answer:

78.50°

Step-by-step explanation:

On either equinox, the sun is overhead at the equator. At 11.50 N, the sun will be at elevation ...

90° -11.50° = 78.50°

Clare wants to buy a used wide-screen TV that sells for $2,000 cash. She will make a down payment of $1,000 and then six monthly payments of $200. What is the full installment price and the annual interest rate ?

Answers

The full installment price is $ 2200, and the annual interest rate is 10%.

Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:

1000 + 200 x 6 = 1000 + 1200 = 2200 1000 = 100 1200 = 120 20/12 x 6 = 10

Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.

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PLEASE HELP ME!!! I"L GIVE BRAINLEST

3m + 3

m = -7

-12

-18

-16

24

Answers

Answer:

m = [tex]\frac{-421}{6}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

3m+3m=−7−12−18−(16)x(24)

3m+3m=−7+−12+−18+(−384)

(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)

6m=−421

Step 2: Divide both sides by 6.

[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]

m = [tex]\frac{-421}{6}[/tex]

I really hope this help's :)

I actually need help please help quickly

Answers

Answer:

NEED MORE

Step-by-step explanation:

10. Given m and b, write the equation of the line:

m=-4; b=2

Answers

Answer:

y= -4x + 2

Step-by-step explanation:

Y= mx + b is used to find the equation of the line

m=-4 a d b= 2

So, you put them into the equation.

PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5

Answers

Answer:

Point C

Step-by-step explanation:

Trust me it is correct

make me brainiest because I answered first pls

60% of the 7th grade students take the bus. If there were 120 students on the busses, how many 7th grade students are there?

Answers

120 = 60%
2 = 1%
200 = 100%

there are 200 students

Answer: 200 Students

Step-by-step explanation:

Find the perimeter and area of a rectangle with the sides 3 3/10 meters and 6 2/3 meters

QUICKK

pls say area AND perimeter

Answers

Area = 22
Perimeter = 19
Hope this helps!

Evaluate the expression wx when x = -15 and w = 5. wx = _________.
-3 75 -75 3

Answers

w = -15 and x = 5
-15 x 5 is ur equation
15 x5 is 75 but the 15 is negative so its -75

Answer:

-75

Step-by-step explanation:

i had the exam so it is write

A car is 200 inches long the truck is 50% longer than the car how long is the truck

Answers

Answer:

300

Step-by-step explanation:

This question is pretty simple.

First, we just have to find 50% of 200.

So 50% is also 1/2.

1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.

So 50% longer is 100 and 100+200(the length of the car) is 300.

The answer.

PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

R=11cm, r=3cm

Step-by-step explanation:

π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².

hope this helps you.

Please help I will give good points! Fake answers=report

Answers

Answer:

159

Step-by-step explanation:

10^2+(3+5)^2-5

First do the parentheses: 3+5 is 8

Now the equation is

10^2+8^2-5

Exponents:

10^2 is 100

8^2 is 64

100+64-5

Simplify and you would get 159

Thus the answer is 159

Hope this helps!

First thing we want to know is what it is asking us.

So, it is asking us to evaluate this expression. Which means to find the answer to it.

Second thing is the order of Operations.

P- (Parentheses)

E-Exponents

M Multiplication

D Division

A Add

S Sub

Now that we know what that means, we may now solve it.

you see a parenthesis, right? Do what is inside first

1.3+5=8

Now there is a exponent by the parentheses. We do that next

(Exponent means we times that number by the number. Like 4 to the power of 3 is really just 4x4x4)

2.8 to the power of 2 is 8x8 which is 64.

So, we got 64 down let's see our equation now.

10^2+64-5

Now, the next step in PEMDAS Is to do the exponents. 10 to the power of 2 is really just 10x10.

(A trick is that if you see the little number beside the 10, it means how many zeros there are like 10to the power of 2 is 100)

So, our new equation is

100+64-5.

Now all we have to do it add and sub right to left

100+64=164

Our new equation is 164-5 which is 159.

I hope this helps! If it's wrong blame me..

Find the area of the figures
4 cm
T
4 cm
12 cm
8 cm
The area is
square centimeters

Answers

Answer:

120 [cm²].

Step-by-step explanation:

1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);

2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];

3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];

4) finally, the required area is: A=96+24=120 [cm²].

all the details are provided in the attachment.

Exterior Angles and Isosceles Triangles

Answers

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

Exterior angles =180-75=105
Interior angles =180_69=111

Need some help :(
A)12.7
B)13.3
C)12.4

Answers

Answer:

i am just here for points

Step-by-step explanation:

Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
rotated clockwise about the origin through 270° Identify the vertices of the triangle after
these transformations

Answers

When a shape is rotated, it must be rotated through a point.

The vertices of the triangle would remain unchanged after both transformations

Assume the coordinates of triangle ABC is (x,y).

The first rotation is 90 degrees clockwise rotation.

The rule of this transformation is:

[tex](x,y) \to (y,-x)[/tex]

Next, the triangle is rotated 270 degrees clockwise.

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](y,-x) \to (x,y)[/tex]

Hence, the vertices of the triangle would remain unchanged after both transformations

Answers

The question is an illustration of system of equations

There are 14 problems worth 5 points and 15 problems worth 2 points

The system of equations is given as:

[tex]x + y = 29[/tex]

[tex]5x + 2y = 100[/tex]

Make x the subject in [tex]x + y = 29[/tex]

[tex]x = 29 - y[/tex]

Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]

[tex]5(29 - y) + 2y = 100[/tex]

Open brackets

[tex]145 - 5y + 2y = 100[/tex]

Evaluate like terms

[tex]145 - 3y = 100[/tex]

Collect like terms

[tex]- 3y = 100-145[/tex]

Evaluate like terms

[tex]- 3y = -45[/tex]

Divide both sides by -3

[tex]y = 15[/tex]

Substitute 15 for y in [tex]x = 29 - y[/tex]

[tex]x = 29 - 15[/tex]

[tex]x = 14[/tex]

This means that there are 14 problems worth 5 points and 15 problems worth 2 points

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d= sqrt ( 2 )^ 2 +( 12 )^ 2

Answers

Answer:

d = 146

Step-by-step explanation:

Answer:

d=146

Step-by-step explanation:

the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146

Just checking, am I correct?

Answers

Answer: yes!

Step-by-step explanation:

Answer: As to what I am seeing i think you are doing fine

Step-by-step explanation:

Great Job

50 yards would be approximately how many meters

Answers

Answer:

45.72 meters hope this helps!

There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.

We pick one at random, then pick another one, without replacement.

What is the probability that both of them will be cyan?

Answers

Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.

you need to prepare 50 portions of broccoli flowers. A prepared portion weighs 0.090kg. Trimmings account for 25% of the total weight. How much broccoli do you need to order ?

Answers

The amount of broccoli needed to be ordered to prepare 50 portion of broccoli flower is 3.375 kg.

You need to prepare 50 portions of broccoli flowers.

A prepared portion weighs 0.090 kg.

Trimming accounts for 25% of the total weight.

Therefore, to find how much broccoli is needed to order can be calculated as follows:

Trimming account for 25% of 0.090 = 0.0225 kg The remaining weight(broccoli) required = 0.090 - 0.0225 = 0.0675 kg

Therefore,

the broccoli needed to be ordered = 0.0675 × 50 = 3.375 kg

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Julia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the
garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a
square. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden?

Answers

Answer:

36.75 square feet

Step-by-step explanation:

First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75

The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.

The garden is divided into 6 sections.

The dimensions of the garden are 3 sections long by 2 sections wide.

Each section is in the shape of a square.

The area of the vegetable garden is 73.5 square feet.

Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:

Total Area = Number of Sections × Area of One Section

73.5 = 6 × s²

Now, solve for the side length "s":

s² = 73.5 / 6

s² = 12.25

Taking the square root of both sides:

s = √12.25

s = 3.5 feet

Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:

Length = 3.5 feet/section ×3 sections = 10.5 feet

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Two parallel lines are crossed by a transversal.

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Two parallel lines are crossed by a
transversal.