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The value of TU is 17.

Here,

T, U, and V are collinear.

U is between T and V

TU = 7x - 4,

UV = 6x + 10, and

TV = 45.

We have to find TU.

What are collinear points?

Three or more points are said to be collinear if they are lie on a single straight line.

Now,

T, U, and V are collinear.

U is between T and V

TU = 7x - 4,

UV = 6x + 10, and

TV = 45.

Clearly, TU + UV = TV

After putting the given values we get;

TU + UV = TV

(7x - 4) + (6x + 10) = 45

13x + 6 = 45

13x = 45 - 6

13x = 39

x = 3

Hence, TU = 7x - 4 = 7 * 3 - 4 = 21 - 4 = 17

So, The value of TU is 17.

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Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Answer:

degree: 5

leading coef: 5

constant: 8

leading term: 5ab^5

Step-by-step explanation:

degree is highest exponent leading coef is number in the term w highest exp, constant is the number with no variables attached and leading term is term w highest exp

Answer:

Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side.

this is also a right angled triangle because it has a 90 degree angle. the sum of the square of the two sides would be equal to the square of th third side

Answer:

D

Step-by-step explanation:

If you think of the equation as an equation for a line.

=+

y

=

m

x

+

b

where

=5/9(−32)

C

=

5

/

9

(

F

−

32

)

or

=5/9−5/9(32)

C

=

5

/

9

F

−

5

/

9

(

32

)

you can see the slope of the graph is 5/9

5

/

9

, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9

5

/

9

of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5

9

/

5

degrees Fahrenheit. Since 95

9

5

= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5

9

/

5

degrees Fahrenheit, not 5/9

5

/

9

degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answer:

D

Step-by-step explanation:

equation is C= 5/9(F-32)

Answer:

V% = (100(x - y)/x)%

Step-by-step explanation:

We are given;

Selling price with VAT = Rs. x

Selling price without VAT = Rs. y.

Thus; VAT = Rs. (x - y)

Rate of VAT(V%) = ((x - y)/x) × 100%

= (100(x - y)/x)%

A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite.

Answer:

6 2/3

Step-by-step explanation:

We can divide 5 by 3/4 to get the answer. 5 divided by 3/4 is the same thing as 5 times 4/3 which is 20/3 and 20/3= 6 2/3.

Hope this helps :)

It is found that the number of groups of ¾ there in 5 would be; 20/3.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, is interpreted as equally dividing the number that is being divided into total x parts; where x is the number of parts the given number is divided.

We need to find the number of groups of ¾ there in 5.

Thus,  We can divide 5 by 3/4 ;

5 divided by 3/4 is the same thing as 5 times 4/3 which will be;

5 /  ¾ = 5 x 4/3

20/3

Also, 20/3 = 6 2/3.

So we can conclude that the number of groups of ¾ there in 5 would be; 20/3.

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Answer:

the answer is on line and it have the correct work

>-<

:)

༼ つ ◕_◕ ༽つ

(/▽＼)

(o゜▽゜)o☆

Answer:

Sperm whale

Step-by-step explanation:

6500 feet is the greatest depth of the four

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Answer:

A) y= -1.4x + 13

Step-by-step explanation:

use the graphing app desmos it makes your life easier

Answer:

x = 22.5

Step-by-step explanation:

→ Remember how many degrees the point to a radius is

90°

→ Set up an equation

x + 3x = 90

→ Simplify

4x = 90

→ Divide both sides by 4

x = 22.5

Answer: y=3/7x + 5

Step-by-step explanation:

The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we know that,

In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:

m1 = -1/(m2)

where m1 and m2 are the slopes of the lines.

Write the given equation in slope-intercept form to identify the slope m1, as follow:

7x + 3y = -18 subtract 7x both sides

3y = - 7x - 18 divide by 3 both sides

y = -7/3 x - 6

remind that the general form of the equation of a line can be written as follow:

y = mx + b

where m is the slope. Based on the expression for y = -7/3 x - 6, you have

m1 = -7/3

then, calculate m2:

m2 = -1/(m1)

m2 = -1/(-7/3)

m2 = 3/7

Hence, it is necessary that the perpendicular line has a positive slope of 3/7.

From the given answer choices, you can notice that the only option with the required slope is:

y = 3/7 x + 5

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Answer:

B Increase: 1, 6

B Decrease: 2, 5

Step-by-step explanation:

Brainliest plz ;)

Answer:

Yes

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

Answer:

5 cups

I would appreciate Brainliest but no worries.

Answer:

C.

Step-by-step explanation:

Answer:

X=4, y=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the graph attached,

Coordinates of the vertices of ΔOAB,

O → (0, 0)

A → (2, 4)

B → (5, 0)

If a point (h, k) is rotated 90° counterclockwise about the origin the image point will be,

(h, k) → (-k, h)

By this rule, if triangle OAB is rotated 90° counter clockwise, new vertices will follow the same rule,

O(0, 0) → O'(0, 0)

A(2, 4) → A'(-4, 2)

B(5, 0) → B'(0, 5)

By plotting these points we can get the image triangle.

Answer:

1A) 114°

1B) adjacent and supplementary

Step-by-step explanation:

1A)  m∠m = 180 - 66

1B) adjacent angles share a common side

the sum of supplementary angles add to 180°

Answer:

I think the value of -124 is just 124

Just remove the negative!!

Step-by-step explanation:

Hope this helped!!!

number 1 is the answer circle FA