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To determine which ratio would result in a valid proportion when set equal to StartFraction 7 over 3 EndFraction, we need to find the ratio that is equivalent to StartFraction 7 over 3 EndFraction.

To do this, we can cross-multiply. When we cross-multiply StartFraction 7 over 3 EndFraction and another ratio, the product of the numerator of StartFraction 7 over 3 EndFraction and the denominator of the other ratio should be equal to the product of the denominator of StartFraction 7 over 3 EndFraction and the numerator of the other ratio.

Let's check each option:

1. StartFraction 9 over 49 EndFraction:

7 x 49 = 343

3 x 9 = 27

These values are not equal, so it is not a valid proportion.

2. StartFraction 18 over 42 EndFraction:

7 x 42 = 294

3 x 18 = 54

These values are not equal, so it is not a valid proportion.

3. StartFraction 42 over 18 EndFraction:

7 x 18 = 126

3 x 42 = 126

These values are equal, so it is a valid proportion.

4. StartFraction 49 over 9 EndFraction:

7 x 9 = 63

3 x 49 = 147

These values are not equal, so it is not a valid proportion.

Therefore, the ratio that results in a valid proportion when set equal to StartFraction 7 over 3 EndFraction is StartFraction 42 over 18 EndFraction.
Hope It Helps :)

Answer:  see proof below

Step-by-step explanation:

Use the following Product to Sum Identities:

2 sin A · cos B = sin (A + B) + sin (A - B)

2 cos A · cos B = sin (A + B) + sin (A - B)

Given:  cos A + cos B = 1/2      and      sin A + sin B = 1/4  

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \tan\dfrac{A+B}{2}[/tex]

[tex]\text{Expand:}\qquad \qquad \dfrac{\sin\frac{(A+B)}{2}}{\cos\frac{(A+B)}{2}}[/tex]

[tex]\text{Multiplication:}\qquad \quad \dfrac{\sin\frac{(A+B)}{2}}{\cos\frac{(A+B)}{2}}\bigg(\dfrac{2\cos\frac{A-B}{2}}{2\cos \frac{A-B}{2}}\bigg)[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{2\sin \frac{A+B}{2}\cdot \cos \frac{A-B}{2}}{2\cos \frac{A+B}{2}\cdot \cos \frac{A-B}{2}}[/tex]

[tex]\text{Product to Sum:}\qquad \dfrac{\sin A+\sin B}{\cos A+\cos B}[/tex]

[tex]\text{Given:}\qquad \qquad \qquad \quad \dfrac{\frac{1}{4}}{\frac{1}{2}}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{1}{2}[/tex]

LHS = RHS:    1/2 = 1/2  [tex]\checkmark[/tex]

Answer:

3xy+9x+3

Step-by-step explanation:

Answer:

992

Step-by-step explanation:

1 pound equals 16 ounce

So, 27x16=432

432+400+160=992

Answer:

24,28-11 that the answer

Step-by-step explanation:

Total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.

"Total cost is defined as the sum of all the expenses which is required to produce a product."

According to the question,

C=total cost,

h= hour of labor

p = additional charges for parts

Total cost given as

C= 45 +20h + p

h = 4hour

p = $109

Substitute the value in the total cost we get,

C = 45+20(4) +109

   =$229

Hence, total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.

Learn more about total cost here

https://brainly.com/question/14927680

$SPJ2

Answer:

[tex] f(x) = \frac{20}{3} x[/tex]

Step-by-step explanation:

[tex]f(x) = \frac{20}{3} x \: ... (required function) \\

Plug \: x = 3 \\ f(3) = \frac{20}{3} \times 3 \\ f(3) = 20[/tex]

Answer:

The probability of drawing a red card from a deck is 50%

The probability of drawing clubs from a deck is 25%

Step-by-step explanation:

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

Explanation:

Triangle ABC is isosceles because AC = BC.

The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.

For any isosceles triangle, the base angles are congruent.

Angle BAC = 69 degrees is given. So angle ABC = 69 as well.

-------------------

The missing angle must add to the two other angles so that all three angles in a triangle add to 180

(angle ABC) + (angle BAC) + (angle BCA) = 180

69 + 69 + (angle BCA) = 180

138 + (angle BCA) = 180

angle BCA = 180-138

angle BCA = 42

-------------------

Angle DCE is congruent to angle BCA because they are vertical angles.

Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48

angle EDC = 48 degrees

Answer:

48

Step-by-step explanation:

THE ANSWER IS 48 SORRY I CAN SEE IT NOW SORRY

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

20x+5y=15

Subtract 20x from both sides.

5y=15−20x

Divide both sides by 5.

__5y_  = _15-20x_____

    5                5

y=  __15-20______

            5

Divide 15−20x by 5.

y=3−4x

[tex]:\implies\sf\:x-\dfrac{3}{4}=2x-\dfrac{9}{7}[/tex]

[tex]:\implies\sf\:\dfrac{9}{7}-\dfrac{3}{4}=2x-x[/tex]

[tex]:\implies\sf\:\dfrac{36-21}{28}=x[/tex]

[tex]:\implies\boxed{\bf{\red{x=\dfrac{15}{28}}}}[/tex]

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

Explanation:

Based on the diagram, angles L and X are the top most angles. They correspond to have angle L = angle X = 60 degrees

Though you shouldn't rely solely on a diagram because the figures may be oriented in a strange way. A better way is to look at the letter sequences of JKLMN and VWXYZ

Notice how L and X are the third letters of JKLMN and VWXYZ respectively. This means the letters pair up and are congruent angles (since the polygons are similar). So this is a non-visual way to see how angle L = angle X = 60.

Answer:

Step-by-step explanation:

From the problem statement, from the score which is given as  15._66.

it is only one digit that is missing and not a combination of two digits.

This makes our guess easier as we have a range of 0-9 to guess from

therefore the list of possible digits to select from can be given as

from between 0-9 which is

{0,1,2,3,4,5,6,7,8,9}

Answer:

x=4/9

Step-by-step explanation:

We first let 0.4 (4 being repeated) be x.

10x=4.4

10x-x=4.4-0.4

9x=4

x=4/9

Answer: 64

Step-by-step explanation:

When you come across question of evaluation, substitute all the variables.

-----------------------------------------------------------------

Given

 4m+23+np-3

Substitute value m, n, and p

=4(7)+23+(2)(8)-3

Use PEMDAS to simplify

=28+23+16-3

=51+16-3

=67-3

=64

Answer:

50.01

Step-by-step explanation:

7y-2=15

7y=15+2

7y=17

y=2.4285714286

21y-1

21(2.4285714286)-1

51.01-1

50.01

Hope this helps ;) ❤❤❤

Answer:

$0.06(x)=$45.84

Step-by-step explanation:

x= the number of hours used

x=764 hours

to get the 764 you divide 45.85/0.06 because you want to isolate the variable.

Answer:

$0.06(x)=$45.84

Step-by-step explanation:

math is easy

Answer:

8,11,14,17,20,23,26

Step-by-step explanation:

Q = 3n+ 5

an=3n+5

a1=3(1)+5=8

a2=3(2)+5=11

a(3)=3(3)+5=14

a4=3(4)+5=17

a5=3(5)+5=20

a6=23

a7=26

Answer: i think 4.54cm

Step-by-step explanation:

[tex]8x+6=9x-2[/tex]

[tex]x=8[/tex]

Hope this helps.

頑張って!

Answer:

nonrigid and segement lengths ar enot

Step-by-step explanation:

Answer:

2 is the answer

Step-by-step explanation:

2x/3+x/3-2=0

Now take lCM of all the three term,

3x/3-2=0

Now you have solve it

x=2

Answer:

No solution

Step-by-step explanation:

[tex] \frac{2}{3} x + \frac{1}{3} x - 2 = 0[/tex]

Collect like terms and simplify

[tex] \frac{2}{3} x + \frac{1}{3} x = 2 [/tex]

[tex] \frac{2}{3} + \frac{1}{3} = \frac{2 + 1}{ 3} = \frac{3}{3} = 1[/tex]

[tex]1 = 2[/tex]

Answer:

-9.2, -4/5, 3/8, .45, 54%, .86, 88%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

[tex] |KP| = \sqrt{ ({5 - 1})^{2} + ({6 - 1})^{2} } \\ = \sqrt{ {4}^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \\ = 6.403124[/tex]

We have the final answer as

Hope this helps you

Answer:

107 cm

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Answer:

107 cm

Step-by-step explanation:

To find this you just first add the 26cm three times because thats the length of 3 sides and you get 78 then you multiply 14.5 times 2 for the other two sides that length and you get 29. Next you add 78+29 and you get 107cm

Answer:

7 + 10 + k - 47

Step-by-step explanation:

Just a slight bit late