Use the given information to determine if TU ||QS.
Answer with a simple yes or no.

Answer:

Step-by-step explanation:

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = - 4x + 3    ⇒   m₁ = -4    ⇒    m₂ = -4

The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = -4

(2, -3)   ⇒   x₁ = 2,  y₁ = -3

point-slope form:

y - (-3) = -4(x - 2)

y + 3 = -4x + 8             {subtact 3 from both sides}

y = -4x + 5        ←    slope-intercept form

Answer:

there is no solution

Step-by-step explanation:

y + 7 = 3x

6x - 2y = 6    which can be simplied to be 3x - y = 6  (divide by 2)

let y = 3x - 7

substitute:  3x -(3x - 7) = 6

                  3x - 3x + 7 = 6

                              7 ≠ 6  therefore, no solution

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26

Answer:

2/3

Step-by-step explanation:

Answer:

43.9°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

From the question

Adjacent = Distance of the boat from the dock = 18 feet

Hypotenuse = Length of the rope = 25 feet

The angle formed by the rope and the surface of the water = x

Hence:

cos x = 18/25

x = arc cos (18/25)

x = 43.945519562°

Approximately θ = 43.9°

The angle formed by the rope and the surface of the water is given as 43.9°

Answer:

ok

Step-by-step explanation:

Answer:

140 shells. So, C

Step-by-step explanation:

Let x equal the total number of shells in Stanley's collection. Then,

.35 x = 49

x = 49 / .35

x = 140

Answer:

Cost of one doughnut is $0.25

Step-by-step explanation:

Let the rate of one doughnut = $x

On Saturday he bought a large coffee and 2 doughnuts.

Cost of one large coffee = $1.25

Cost of 2 doughnuts = $2x

Total cost = $(1.25 + 2x)

On Sunday, he bought a small coffee and 5 doughnuts.

Cost of one small coffee = $0.50

Cost of 5 doughnuts = $5x

Total cost = $(0.50 + 5x)

Since, Brian spent same amount of money each morning,

Total expenditure on Saturday morning = Total expenditure on Sunday morning

(1.25 + 2x) = (0.50 + 5x)

1.25 - 0.50 = 5x - 2x

0.75 = 3x

x = $0.25

Therefore, cost of one doughnut is $0.25

Answer: her step is correct because she followed the right steps

Step-by-step explanation:

4(x-2) = 16

She first distributed

4x - 8 = 16

+8. +8

Then she add 8 to both side

4x = 24

- -

4. 4

Then she divided both side by 4 to find the value of x

X = 6

Answer:

the answer is -225

you have to undo the operation that is being done to x. since it's dividing, you have to multiply both sides by 5 to "undo" what had been done. 5*-45= -225

Step-by-step explanation:

i hope this helped :)

Answer:

I'm gonna go with D

Step-by-step explanation:

If it's wrong meh bad

Step-by-step explanation:

From this figure I think the answer is c

9514 1404 393

Answer:

  ∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°

Step-by-step explanation:

Here's where I'd go next.

73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...

  ∠C + ∠A = 73°

  ∠C = 73° -∠A = 73° -39° = 34°

Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.

Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...

  107° = 34° +∠DFE

  ∠DFE = 107° -34° = 73°

The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.

  ∠AFB = 73° . . . . vertical angle with ∠DFE

_____

In summary, it looks like we have added some steps to the derivation:

  4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)

  5. ∠E = ∠A = 34° . . . . definition of isosceles triangle

  6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)

  7. ∠AFB = 73° . . . . vertical angles

_____

Additional comment

Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.

Answer:

C. x < –1

Step-by-step explanation:

What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < –1

D. x > –1

-1+6<5

but you need less than 5 so

x<-1

Answer:

[tex] \huge \boxed{3 {x}^{2} + 5x - 4}[/tex]

In this equation the constant is -4.

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

Answer:I'm guessing 48

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Took the test

Answer: the one you have selected is correct.

ACE = 90

Answer:

AEC es 90

Step-by-step explanation:

you're already correct

Step-by-step explanation:

We need to write the sum of 2x - 7 and the opposite of 2x

Opposite of 2x is (-2x)

Sum means to add the number :

2x-7 + (-2x)

Remove parentheses,

2x-7 - 2x

Taking like terms together,

2x-2x-7= 0-7

= -7

Hence, the answer is -7.

Answer:

are parallel

Step-by-step explanation:

Answer:

Your answer is:

Step-by-step explanation:

dun, dun, DUNNN

parallel lines!

I hope this helps!

- sincerelynini

Answer:

-4x - 2y

Step-by-step explanation:

Hope it works

Answer:

Step-by-step explanation:

−1(4x+2y)

=(−1)(4x+2y)

=(−1)(4x)+(−1)(2y)

=−4x−2y            

Hope this helps u out

Answer:

[tex]m(\widehat{WXZ})[/tex] = 160°

Step-by-step explanation:

By angle sum postulate,

m∠WYX + m∠XYZ = m∠WYZ

m∠WYZ = 50° + 30°

              = 80°

Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]

80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]

[tex]m(\widehat{WXZ})[/tex] = 160°

Answer:

m∠b = 92 ; m∠c = 92

Step-by-step explanation:

∠b and ∠c both form supplementary angles with the 88° angle. I'll just choose b in this instance.

b + 88 = 180

b = 92

Now we know that ∠b is 92°.

Moreover, ∠c and ∠b are known as vertical angles meaning they are equivalent to each other. Therefore, ∠c is also 92°

Answer:

The length of the first piece is 0.51 m

The length of the second piece is 0.31 m

The length of the third piece is 0.28 m

Step-by-step explanation:

The question is a simultaneous equation with word problem

The total length of the wood = 0.9 m

The number of pieces the wood is cut into = 3

The length of the first piece = 0.2 m + The length of the second piece

The length of the third piece = The length of the second piece - 0.23 m

Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;

x = 0.2 + y...(1)

z = y - 0.23...(2)

x + y + z = 0.9...(3)

Therefore, by substitution, we have;

0.2 + y + y + y - 0.23 = 0.9

3·y - 0.03 = 0.9

3·y = 0.9 + 0.03 = 0.93

y = 0.93/3 = 0.31

y = 0.31

The length of the second piece = y = 0.31 m

From equation (1), we have;

x = 0.2 + y = 0.2 + 0.31 = 0.51

x = 0.51

The length of the first piece = x = 0.51 m

From equation (2), we have;

z = y - 0.23

z = 0.51 - 0.23 = 0.28

z = 0.28

The length of the third piece = z = 0.28 m.

Answer:

19, 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y , then

x + y = 21 → (1)

x - y = 17 → (2)

Add the 2 equations term by term to eliminate y , that is

2x = 38 ( divide both sides by 2 )

x = 19

substitute x = 19 into (1) for value of y

19 + y = 21 ( subtract 19 from both sides )

y = 2

The 2 numbers are 19 and 2

Answer:

71/100

Explanation:

As you can see, the decimal ends at the hundredths place, so the fraction is 71/100. Its simple! If the number end at the tenths, hundredths, or thousandths, just take that number and do it like this! 38/1,000

Hope this helped! ;)

Answer:

3

Step-by-step explanation:

5-2=3

Just do it the other way to find the answer!

I hope this helps!

Answer: x = 3

Step-by-step explanation:

we subtract 2 from both sides, in order to get the variable by itself.

x + 2 (- 2) = 5 (- 2)

x = 3

Answer:

110

Step-by-step explanation:

as a trapezoid contains of angles that add up to 360 .....and the top angles are equal and the bottom angles are equal ...therefore >v equals to 70 and w as well and x are equal to 110 each