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Step-by-step explanation:

[tex] \frac{6x - 2}{30} = \frac{5x + 13}{36} \\ 36(6x - 2) = 30(5x + 13) \\ 6(6x - 2) = 5(5x + 13) \\ 36x - 12 = 25x + 65 \\ (36 - 25)x = (65 + 12) \\ 11x = 77 \\ x = \frac{77}{11} \\ x = 7[/tex]

You can use the properties that similar triangles have sides scaled.

The value of x is 7.

Since it is given that PTS ~ PQR, thus, let the scaling is done by factor f. Then we have:

[tex]|PT| = f \times |PQ|\\ |TS| = f \times |QR|\\ |SP| = f \times |RP|[/tex]

Thus, we get the ratio of length of PT and length of TS as:

[tex]\dfrac{|PT|}{|TS|} = \dfrac{f \times |PQ|}{f \times |QR|} = \dfrac{|PQ|}{|QR|}[/tex]

Using the values specified in the given figure for above obtained equation, we get:

[tex]\dfrac{|PT|}{|TS|} = \dfrac{|PQ|}{|QR|}\\ \\ \dfrac{36}{30} = \dfrac{5x + 13}{6x-2}\\ \\ \text{Cross multiplying, the denominators},\\\\ 36(6x-2) = 30(5x+13)\\ 216x - 72 = 150x + 390\\ 216x - 150x = 390 + 72\\ 66x = 462\\\\ x = \dfrac{462}{66}\\\\ x = 7[/tex]

Thus, the obtained value of x is 7.

Learn more about similar triangles here:

https://brainly.com/question/19387334

Question:

Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.

a. What fraction represents his constant speed, c?

b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes.  Write the fraction that represents constant speed, c, if he travels a distance of y.

c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s  friend’s house is from school. Round your answer to the tenths place.

Answer:

(a) [tex]c = \frac{3.8}{18}[/tex]

(b) [tex]c = \frac{y}{10}[/tex]

(c) 2.1 miles

Step-by-step explanation:

Solving (a):

Given

[tex]Distance = 3.8\ miles[/tex]

[tex]Time = 18\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{3.8}{18}[/tex]

Solving (b):

Given

[tex]Distance = y[/tex]

[tex]Time = 10\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{y}{10}[/tex]

Solving (c): Write (a) and (b) as proportions and solve for y.

As a proportion, we have

[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]

Multiply both sides by 10

[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]

[tex]y = 10 * \frac{3.8}{18}[/tex]

[tex]y = \frac{38}{18}[/tex]

[tex]y = 2.11111[/tex]

[tex]y = 2.1\ miles[/tex]  ---- approximated

Answer:

The correct answer is,

[tex] \frac{7}{16} [/tex]

hope it helps.

have a great day.

Answer:

1 3/4 ÷ 4 = 7/16.

Step-by-step explanation:

Is your answer.

Answer:

its too blurry

Step-by-step explanation:

Answer:

slope intercept form is -2/3 for the first one

Answer:

[tex]\huge\boxed{\sf x = 12 }[/tex]

Step-by-step explanation:

Opposite sides and angles of a parallelogram are equal.

So,

3x - 1 = 35

Add 1 to both sides

3x = 35 + 1

3x = 36

Divide 3 to both sides

x = 36 / 3

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

I think it's right

but plz let me know if im wrong

Step-by-step explanation:

Answer:67

Step-by-step explanation:

Answer: c = t * 6.75

Step-by-step explanation: each ticket costs $6.75

Answer:

157.44 feet

Step-by-step explanation:

Given that:

Lance is out for sightseeing in Rome.

Lance went to see the Colosseum.

Height of the outer wall of the Colosseum = 48 meters

Unit Conversion formula:

1 meter = 3.28 feet

To find:

Height of the outer wall of the Colosseum in feet.

Solution:

It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.

We have to simply find how much 48 meters will be when converted in feet.

1 meter = 3.28 feet

48 meter = 48 [tex]\times[/tex] 3.28 = 157.44 feet

Answer:

The answer to the question provided is

[tex] \frac{22}{7} [/tex]

Answer:

x=-1

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

Given the system of equation

2x - 10 y = -30 ... 1

x - 5y = 20 ... 2

Step: From 2;

x = 20 + 5y ...3

Step 2: Substitute equation 3 into 1

2x - 10y = -30

2(5y+20) - 10y = -30

Open the bracket

10y + 40 - 10y = -30

10y - 10y + 40 = -30

0+40 = -30

40 = -30

The steps taken by Teri are correct all through. He didn't make any error whatsoever

Answer:

Yes

Step-by-step explanation:

If you multiply the 3 into the equation it will give you 3x+3 3/2 -3 and if you simplify it the answer is 3x+4 1/2 -3=3x +1 1/2.

3x+1 1/2 = 3x + 1 1/2

Answer:

x = 6

Step-by-step explanation:

angles 1 and 2 are equal because the entire angle is bisected

so, 5x - 2 = 4x + 4

x - 2 = 4

x = 6

If you substitute 6 into each expression, they should be equal:

4(6) + 4 = 5(6) - 2

24 + 4 = 30 - 2

28 = 28

Answer:

4^9

262144

Step-by-step explanation:

Answer:

Square 4x³ - x²

Step-by-step explanation:

Given the expression -5x²(4x³ - x²)²

The first step in simplifying the expression is to open the parenthesis by taking the square of 4x³ - x² as shown;

-5x²(4x³ - x²)²

= -5x²[(4x³)²- 2x²(4x³) + (x²)²]

= -5x²[16x^6- 8x^5 + x^4]

Hence the correct answer is Square 4x³ - x²

Answer:

3348 ft

Step-by-step explanation:

sin 21° = BC/AB = 1200/AB

AB = 1200 / sin 21° = 1200 / 0.358 =  3352 ≈ 3348

Answer: 3/7

Step-by-step explanation:

1/7 x 3/1

MULTIPLY ACROSS

so 1 x 3 = 3 AND 1 x 7 = 7

so the answer is 3/7

Answer:

6 and 8

Step-by-step explanation:

vertical lines yes, theyre across from each other making it vertical line

Vertical angles are the angles at the opposite sides of a transversal

The vertical angles are <6 and <8

For a pair of angles to be vertical angles, there must be a transversal line, and the two angles must be at the either sides of the transversal

This means that the following angles are vertical angles

Hence, the vertical angles are <6 and <8

Read more about vertical angles at:

https://brainly.com/question/14362353

Step-by-step explanation:

A= 4(pi)r^2

A=4(3.14159265359)13^2

A=2123.72

**I dont know if it's right or wrong.**

Answer:

This survey may be unfair because they are asking the question to a group of kids who are already biased because they all play a specific sport and are most likely going to chooses that sport. Therefore the answers will most likely be basketball because it is the basketball team taking the survey

Step-by-step explanation:

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.

Answer:

500 miles

Step-by-step explanation:

To find out how many miles Candice can hike at max, use the equation 11 + 0.14x = 81.

11 + 0.14x = 81

Subtract 11 from both sides. This undoes the +11.

0.14x = 81 - 11

Subtract 11 from 81 to get 70.

0.14x = 70

Divide both sides by 0.14. This undoes the multiplication by 0.14.

x = 70/0.14

I recommend converting 0.14 into a fraction. That would be 7/50.

x = 70/(7/50)

Find the reciprocal of 7/50 (50/7). Switch the sign from division to multiplication.

x = (70 * 50)/7

Multiply 70 by 50 to get 3500.

x = 3500/7

Divide 3500 by 7 to get 500.

x = 500

At max, Candice can hike 500 miles.

Answer:

1

Step-by-step explanation:

Because it is where the like crosses with the y axis

Answer:

-16m-6

Step-by-step explanation:

use distributive property, you get -16m-6

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Hey there!

Hey there!

–2(8m + 3)

Distribute

–2(8m) + –2(3)

–2(8m) = –16m

–2(3) = —6

Answer: –16m – 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

20

Step-by-step explanation:

75% of 20 = 15

I believe this is correct and hope it helps :)

Answer:

it's answer is 89 mm

Step-by-step explanation:

Perpendicular (p) = 80 mm

base(b) = 39 mm

hypotenuse (h) = ?

By using Pythagoras theorem,

h = √( p² + b²)

= √ ( 80² + 39²)

= √7921

=√(89)²

= 89 mm

Answer:

89 mm

Step-by-step explanation:

Use the pythagorean therom to solve for the hypotenuse which is (c).

Ex: a^2+b^3=c^2

Subsitute

80^2+39^2=c^2

6400+1521=c^2

6400+1521=c^2

Add

6400+1521=7921

Now you have the following equation...

7921=c^2

Sqaure both sides of the equation

sqrt7921=sqrtc^2

89=c

So C=89 mm there you go :)

MARK ME BRAINLISET THANKS!!!

Answer:

D

Step-by-step explanation:

(6, 24)  this ordered pair has an x-value of 6 and a y-value of 24

The only equation, if you substitute those values into it, which works is D.

24 = 4(6)

24 = 24

Answer: ↓↓

Step-by-step explanation:

14 - 1 = 13

15 - 2 = 13

16 - 3 = 13

17 - 4 = 13

18 - 5 = 13

19 - 6 = 13

20 - 7 = 13

21 - 8 = 13

22 - 9 = 13

23 - 10 = 13

24 - 11 = 13

25 - 12 = 13