quiz 3-1 parallel lines transversals and special angle pairs

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

[tex]\huge \rm༆ Answer ༄[/tex]

Let's rearrange the terms to convert the equation into slope - intercept form ~

I hope it helps ~

The search problems to consider with mobile devices, but not with laptop and desktop computers is

Your website must provide directions to your store's brick and mortar location

In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.

Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.

For more information on computers, laptops and mobile devices visit

https://brainly.com/question/4487618?referrer=searchResults

There are 28 days in 4 weeks.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

There are 7 days in a week, so to convert weeks to days, we multiply the number of weeks by 7. For example, if we have 2 weeks, we would multiply 2 by 7 to get 14 days.

In this case, we are given 4 weeks and asked to convert it to days. So we multiply 4 by 7 to get:

4 x 7 = 28

Therefore, there are 28 days in 4 weeks.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

#SPJ2

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

Learn more about simplification of algebraic expression here: https://brainly.com/question/8956927

Answer:

----->

Step-by-step explanation:

The weight of the 60kg load is (m g) = 588 Newtons. (Force x distance) = (588 N) x (12 m) = 7,056 Joules of work.

Answer:

10

Step-by-step explanation:

We can use the distributive property to get:

[tex]5(2+10)=5(2)+5(10)[/tex]

Therefore, the blank is 10.

Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.

Recall:

Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.

SR/SU = QR/TU

SR = RU + SU = 12 + SU

SU = ?

QR = 40

TU = 25

Plug in the values

[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]

[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]

Learn more about similar triangles on:

https://brainly.com/question/11850540

Given the inequality expression:

w−0.8>−2.4

Inequalities are expressions separated by an unequal sign.

According to the given question, we need to find the solution for "w"

w−0.8>−2.4

Add 0.8 to both sides

w−0.8+0.8>−2.4 + 0.8

w > -2.4 + 0.8

Simplify the result by adding to have:

w > -1.6

Find the number line representing the solution attached;

Learn more on number line here: https://brainly.com/question/24644930

[tex]\dfrac{16}{32} = \dfrac{O}{14}\\\\\implies \dfrac 12 = \dfrac O{14}\\\\\implies O = \dfrac{14}2 = 7[/tex]

The sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.

To determine what is the sum of all integers which are not divisible by 5 or 9 between 1 and 100, the following calculation must be performed:

Therefore, the sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.

Learn more about maths in https://brainly.com/question/25942965

Answer: x = 0.79128784 and -3.79128784

Step-by-step explanation: Round them up

Factorizing an expression involves writing the expression in simpler forms

The expression cannot be factorized.

The expression is given as:

[tex]0 = x^2 + 3x - 3[/tex]

Rewrite the expression as:

[tex]x^2 + 3x - 3 = 0[/tex]

The above expression cannot be factorized.

This is so because 3x can not be expressed using terms that have the product of -3 and x^2

Read more about factorization at:

https://brainly.com/question/11579257

i'm sorry i can't answer because i can't see the marks but i would help if i could

Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

Answer:

y=-2x

Step-by-step explanation:

M= y2-y1/x2-x1

  = 6-0/-3-0

  = 6/-3

 = -2

when X is 0 Y is also so C is 0

Answer:

Y= x-10

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = -7-(-9)/3-1

  = 2/2

  = 1

sub x=1 and y=-9 into Y=MX + C

-9=1+C

-9-1=1+C-1

C=-10

Answer:

He had $210.7 withheld for deductions

Step-by-step explanation:

Add his regular pay to his overtime pay

$425.50 + $60.50 = $486

After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay

$486 - $275.30 = $210.7 :)

Answer:

1/4 or .25

Step-by-step explanation:

You cross multiply which would give you 4x=1.

Answer:

7.

Step-by-step explanation:

Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)

Add 7+-4 to get 3.

Multiply 8*3 to get 24.

Add 24+3 to get 27.

Divide 24/3 to get 9.

Subtract 9-2 to get 7.

Check the other way:

Add 7+2 to get 9.

Multiply 9*3 to get 27.

Subtract 27-3 to get 24.

Divide 24/8 to get 3.

Subtract 3-7 to get -4.

Answer:

2/5 is 4/10. 8/10 is 2 time greater than 2/5.

Step-by-step explanation:

4/10= 0.8, which can be written 8/10.

Make me brainlist.

Answer:

[tex]i\sqrt4 ~ \text{and} ~ 2i[/tex]

Step-by-step explanation:

[tex]\sqrt{-4}\\\\=\sqrt{-1} \sqrt4\\\\=i\sqrt4\\\\=2i[/tex]

The next fraction in the given sequence is; 7/14

We are given the sequence;

3/14, 2/7, 5/14, 3/7.

To get the next fraction in the sequence, we have to find the pattern of the differences.

Difference between first and second term is;

2/7 - 3/14 = 1/14

Similarly, for 2nd and 3rd term;

Difference = 5/14 - 2/7

Difference = 1/14

Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7

Next fraction = 3/7 + 1/14

Next fraction = 7/14

Read more on arithmetic sequence at;

https://brainly.com/question/1145052

Answer:

min{5 x^2 - 20 x + 3} = -17 at x = 2

Step-by-step explanation: here's the graph

Answer:

try 5

Step-by-step explanation:

Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this

Answer:

-1

Step-by-step explanation:

1/3(-3) cancels the common factor of 3, which leaves the answer as -1.

Answer:

10%

Step-by-step explanation:

a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%

Answer:

a = 2

Step-by-step explanation:

I hope this helps!