The present age of Andy and Mike are in the ratio 5:3. If Andy had been 7 years older and Mike 7 years younger, the age of Andy would have been 3 times the age of Mike. Find their present age​

Answer:

x = 79 y = 22

Step-by-step explanation:

x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22

Answer:

x-intercepts/ roots= (-1,0), (15,0)

f(0)= -15 (y-intercept)

Axis of symmetry: x = 7

Vertex: (7, -64)

Domain: All real numbers

Range: [-64, infty)

Answer:

The side of the hypotenuse is 12.233 centimeters.

Step-by-step explanation:

The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:

[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)

Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.

Then, we clear the variable within (1):

[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]

[tex]x = 13.233\,cm[/tex]

The side of the hypotenuse is 12.233 centimeters.

Answer:

Step-by-step explanation:

If the lines were parallel the angle measruing 72 and the angle measuring 109 would add up to 180 degrees(corrosponding and theroum ,sum of angles on line)

33.85 or 32.75 sorry if I am wrong

Step-by-step explanation:

for this one you have you multiply 17 by itself like this 17x17=289 but you also have to do it with the 28 to like this 28x28=784, now what you do it add up the 289+784=1,073 then you square root 1,073 which gives you 32.75 round it to the nearest tenth of needed so your will be between 33.85 or 32.75

Answer:

x² + 2x - 6

Step-by-step explanation:

= f(x) + g(x)

= (2x + 1) + (x² - 7)

= 2x + 1 + x² - 7  

= 2x - 6 + x²  

= x² + 2x - 6

good luck, i hope this helps :)

Answer:

8 up, 6 left

Step-by-step explanation:

Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.

The graph translated 6 unit left and 8 unit upward.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, A figure "A" that translated at different position in cartesian plane.

Since,  A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape.

Thus, we can observe only one point on the figure and calculate the movement of the figure.

Lets focus on the left bottom corner of the figure.

It moves from the coordinates (1, -5) to the coordinates ( -5, 3)

Since Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis

So, we can say it translated to the lefty by 6 unit.

Same it goes with vertical translation.

Therefore, The graph translated 6 unit left and 8 unit upward.

Learn more about coordinates here:

https://brainly.com/question/20282507

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Answer:

5

Step-by-step explanation:

First, find the equation of the line:

put it in the form y = mx + b where m is the slope and b is the y-intercept

You already have m = 2, so y = 2x + b.

Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.

3 = 2 * 1 + b

3 = 2 + b

1 = b

This means the equation of the line is y = 2x + 1.

Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:

y = 2 * 2 + 1

y = 4 + 1

y = 5

5 is the answer

Answer:

b = 34

m = 5

f(t) = 5x+34

Step-by-step explanation:

f(0) = 34, so that is its y intercept.

f(t) contains (0,34) and (8,74), which can be used to find the slope:

[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]

Step-by-step explanation:

I hit a expected tomorrow:No for completion of a

The required base of the isosceles triangle is given as 38 feet.

A triangle with two sides and two congruent angles is called an isosceles triangle.

here,

For a given isosceles triangle,
side/base = 2 / 7
side = 2/7 base = 7 /2 sides

According to the question,
The perimeter of the triangle is 304 feet,
2 side + base = 304
2 [7/2 base] + base = 304
8 base = 304
base= 304 / 8
base = 38 feet

Thus, the required base of the isosceles triangle is given as 38 feet.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591
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Answer:

triangllllllllllllllllllllllllllllllllllllleeeee

Step-by-step explanation:

Answer:

$74

Step-by-step explanation:

50% means he saves half of his paycheck

148 ÷ 2 = 74

Thus, he saves $74 from his paycheck

Answer:

62.5

Step-by-step explanation:

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer:

B. srvut

Step-by-step explanation:

To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.

Hope this helps :)

m = 1.49

b = 5.50

equation y = 1.49x + 5.50

Non-proportional

Positive Slope

Answer:

3?

Step-by-step explanation:

Answer:

2 1/3 years

Step-by-step explanation:

4 months = 1/3 years

2 + 1/3 = 2 1/3 years

Answer:

2.25 years

Step-by-step explanation:

xy = 10

x · y =  240

It is indeed correct on Edge 2021

Answer:

10

240

Step-by-step explanation:

Edge 2021

Answer:

Number of dogs (x) | Amount charged to walk a dog (y)

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

Step-by-step explanation:

Charge for walking a dog = $20 per dog

Number of dogs = x

Amount charged to walk a dog in a day = y

Unit rate = 20

Equation to represent this is: y = 20x

Let's use this to form a table for walking 1 to 8 dogs:

For 1 dog (x):

y = 20(1) = $20

For 2 dogs (x):

y = 20(2) = $40

For 3 dogs(x):

y = 20(3) = $60

For 4 dogs:

y = 20(4) = $80

And so on till we get to tl8 dogs.

This, we should have the following table:

Number of dogs (x) | Amount charged to walk a dog (y)

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

The answer is

[tex] \frac{55}{12} [/tex]

and in mix fraction it will be

[tex]4 \frac{7}{12} [/tex]

and in decimal form,

[tex]4.583333[/tex]

[tex]answer \: = 4 \frac{7}{12} [/tex]

5⅚ - 1¼ =

35/6 - 5/4 =

140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12

Answer:

The answer for this would be B.

Answer:

60°

Step-by-step explanation:

the relationship between angle RST and its arc TR is:

2m∠(RST)=m(arcTR);

using this formula m∠(RST)=0.5*m(arcTR);

m∠(RST)=60°

Answer:

<S = 60

Step-by-step explanation:

The arc TR and the central angle (T to the center then to R ) are equal.

So the Central angle is 120o

S anywhere on the minor arc is 1/2 the central angle.

<S = 1/2 120

<S = 60

Answer:

119

Step-by-step explanation:

Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.

Add them together to get 15%, which is now 21.

Take 21 off of 140 to get the answer, which is 119.

ALTERNATIVE METHOD - CALCULATOR

To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.

Answer:

Department Store:

7(18.75)+8= 139.25

Gas Station:

18.75+22= 40.75

Step-by-step explanation:

The mistake is 7x+8+x+22 should not equal 90. It should equal 180 degrees because the two angles are supplementary angles. (It forms a straight line)

Correct equation and how to solve for X:

7x+8+x+22=180

8x+30= 180

8x= 150

x=18.75

Department Store:

7(18.75)+8= 139.25

Gas Station:

18.75+22= 40.75

Answer:

None

Step-by-step explanation:

None.  A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.

Answer:

14 days

Step-by-step explanation:

14

Answer:

13 and 14

Step-by-step explanation:

From the inequality

x + 2 x + 6 < 50

we work out the answer for x isolating it on one side of the inequality as shown below

3 x + 6 < 50

3 x < 50 - 6

3 x < 44

x < 44/3  ≅ 14.6666...

Therefore, select from the set the numbers:  13 and 14.

Step-by-step explanation:

1:the range

2:positive interval

3:increasing interval

4:maximum point

5:domain

6:decreasing intveral

7: negative interval

Answer:

As per the graph we have:

1: the range

2: positive interval

3: increasing interval

4: maximum point

5: domain

6: decreasing interval

7:  negative interval