a mother is presently four times as old as her daughter if the sum of their ages 6 years ago was 48 find their present ages


i need this answer with explanation
ASAP plzzzzzzz​

r:-

[tex]\\ \rm\hookrightarrow r+60+50=180[/tex](Supplementary)

[tex]\\ \rm\hookrightarrow r+110=180[/tex]

[tex]\\ \rm\hookrightarrow r=180-110[/tex]

[tex]\\ \rm\hookrightarrow r=70[/tex]

[tex]\\ \rm\hookrightarrow p=50(Opposite\: angles)[/tex]

q:-

[tex]\\ \rm\hookrightarrow q=70+60(Opposite \:angles)[/tex]

[tex]\\ \rm\hookrightarrow q=130[/tex]

Answer:

[tex]{ \sf{60 \degree + r + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{r + 110\degree = 180\degree}} \\ { \underline{ \sf{r = 70\degree}}}[/tex]

[tex]{ \sf{q + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{q = 180\degree - 50\degree}} \\ { \underline{ \sf{q = 130\degree}}}[/tex]

[tex]{ \sf{p + q = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{p + 130\degree = 180\degree}} \\ { \sf{ \underline{p = 50\degree}}}[/tex]

or:

[tex]{ \underline{ \sf{p = 50\degree \: \{alternate \: angles \}}}}[/tex]

Answer:

B

Step-by-step explanation:

[tex] \frac{2 - ( - 2)}{2} = 2[/tex]

maximum distance minus the minimum distance then divide everything by 2

:)

Answer: 15, -8

Step-by-step explanation:

[tex]u_2=7\\u_2=u_1+r\\u_3=u_1+2r\\u_4=u_1+3r\\\\u_1+u_2+u_3+u_4=4u_1+6r=12\\u_1+r=7\\\\[/tex]

[tex]\left \{ \begin {array} {ccc|c|c}u_1+r&=&7&-4&-6\\4u_1+6r&=&12&1&1\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}2r&=&-16\\-2u_1&=&-30\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}r&=&-8\\u_1&=&15\\\end {array} \right.\\\\\\Proof:\\u_1=15\\u_2=7\\u_3=-1\\u_4=-9\\sum=12\\[/tex]

Answer:

= 0.25

Step-by-step explanation:

[tex] - 0.25( - 1) \\ = 0.25[/tex]

Answer:

0.25

Step-by-step explanation:

Answer:

B. II

Step-by-step explanation:

Take a look at the figure below:

Answer:

f(-2) = - 1

Step-by-step explanation:

you could begin by understanding that f(x) is an alternate and informative version of y = -x^ + 3

The difference (critical) is that f(x) tells you how to substitute for x on the right.

You need to pay attention to doing something with - 2

f(-2) = - (-2)^2 + 3  

Notice what you did. Wherever there is an x on the right, you put in a -2.

f(-2) = - (4) + 3

f(-2) = - 1

Hi, I'm happy to help!

To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.

First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.

-6-2=-8

Since we have a negative number, we use absolute value, which says how far the number is from 0.

I-8I

8

The distance in x coordinate values is 8.

Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.

-5-0=-5

I-5I

5

The distance in y coordinate values is 5.

From here, we use the Pythagorean Theorem, which states that a²+b²=c².

This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.

Let's plug in the values:

8²+5²=c²

64+25=c²

89=c²

To find c, we need to find the square root of 89.

√89=c

9.433981132...=c

Since this number goes on forever, we need to round.

Rounding to the nearest thousandth:

9.434

Nearest hundredth:

9.43

Nearest tenth:

9.4

Depending on what the question asks, use one of these values.

To conclude, The distance between the two points is about 9.43 units.

I hope this was helpful, keep learning! :)

Answer:  6 or -6

hello,

Step-by-step explanation:

Let say n the number

[tex]\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\[/tex]

Answer:

A. whole numbers, integers , rational numbers, natural numbers, real numbers

Answer:

QR=12

................

Answer:

Bot 2

Step-by-step explanation:

Lets find both robots rate per second.

Bot 1:

16 / 2 = 8 clicks per second

Bot 2:

30 / 3 = 10 clicks per second

Now multiply by 10 to see who clicks the most.

Bot 1:

8 * 10 = 80 clicks in 10 seconds

Bot 2:

10 * 10 = 100 clicks in 10 seconds.

With this information, its clear that bot 2 clicks the most in the least amount of time.

Best of Luck!

There would be 260 lifegurads

The easy way is to divide 18.2 by 0.07 to get your answer

If my answer is wrong pls let me know i try my best to edit and make it right

Answer:

[tex] - 16 {x}^{2} + 5 {x}^{2} + 6x - x + 4 + 2 \\ = - 11 {x}^{2} + 5x + 6 \\ thnk \: you[/tex]

Answer:

-11x^2 + 5x +6

Step-by-step explanation:

Put all the same ones together, apple with apple, orange with orange.

But in this case they alredy group them together for u, so just subtract and plus as needed

Answer:

b/2 < 10   or  b÷2 < 10

Step-by-step explanation:

Answer:

a. Savings account: 200 + 50w Checking account: 100 + 30w

b. 300 + 80w

c. 700

Step-by-step explanation:

b. 200 + 50w + 30w + 100 Combine like terms. 300 + 80w

c. 300 + 80w. w=5. 300 + (80*5) = 300 + 400 = 700

Answer:

|x| = 8

Answer: x = 8, -8

Step-by-step explanation:

| | this symbol represents absolute value. When you remove absolute value it creates a ± sign on the opposite side.

x = ± 8

This means x = 8 and x = -8

The solutions are 8 and -8.

Step-by-step explanation:

all explainations are in picture.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Step-by-step explanation:

In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?

A. -1

B. 7

C. 10

D. 14

E. 20

Hide Answer

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_________________

Best Regards,

E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730

Answer:

4 + 3(n-1)

Step-by-step explanation:

Sequences start from n=1,2,3....

In this case

4 + 3(1-1)= 4

4 + 3(2-1) =7

And continue the pattern

Answer:

30%

Step-by-step explanation:

14+ 18+ 28 = 60

18/60 × 100 = 30%

Answer:

[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]

Step-by-step explanation:

Total token sample = 14 + 18 + 28 = 60

Frequency of blue:

[tex] = \frac{18}{60} \: [/tex]

[tex] = \frac{18}{60} \times 100\%[/tex]

[tex] = 30\%[/tex]

Answer:

False

Step-by-step explanation:

To find the area of the square, you multiply length by length, adding the length of all 4 sides would be the perimeter

Answer:

true

Answer:

Week 1: 0 + 10 = 10

Week 2: 10 + 10 = 20

Week 3: 20 + 10 = 30

Week 4: 30 + 10 = 40

Step-by-step explanation:

Answer:

1 week- $10

2 weeks- $20

3 weeks- $30

4 weeks- $40

hope this helped!

Answer:

x=32

Step-by-step explanation:

27=x-5

+5   +5

32=x

Answer:

first D and second B.

Step-by-step explanation:

first D and second B.

Answer:

Use the diagram.

1.

angle1 and angle2 are adjacent angles.

Correct answer A. true

Incorrect answer B. false

2.

angle3 and angle4 are complementary.

Incorrect answer A. true

Correct answer B. false

3.

angle2 and angle3 are ______ angles.

Incorrect answer A. complementary

Incorrect answer B. vertical

Incorrect answer C. right

Correct answer D. supplementary

4.

angle2 and angle4 are ____ angles.

Incorrect answer A. complementary

Correct answer B. vertical

Incorrect answer C. right

Incorrect answer D. supplementary

5.

Find mangleABC if the line modifying above upper B upper D with two-way arrow bisects angleABC and given mangleABD = 5x and mangleDBC = 3x + 10.

Incorrect answer A. 5°

Incorrect answer B. 25°

Incorrect answer C. 30°

Correct answer D. 50°

Step-by-step explanation:

100% correct my friends

good luck out there

; )

Answer:

114°

Step-by-step explanation:

(x+95)°=6x°[being vertically opposite angles]

or, 95=6x-x

or, 95= 5x

or, 95/5 = x

or, 19 = x

Then,

(x+95)°

= 19+95°

= 114°

Answer:

114 Degrees

Step-by-step explanation:

x=19

You do this by setting (x+95)=6x and then solving for x.

If you need further explanation let me know!

Answer:

5/2

Step-by-step explanation:

Answer:

the reciprocal is 5/2 hope this helps

Answer: 11

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x = -3

Given expression

2x² + 2x - 1

Substitute values into the expression

=2(-3)² + 2(-3) - 1

Simplify exponents

=2(9) + 2(-3) - 1

Simplify by multiplication

=18 - 6 - 1

Simplify by subtraction

=12 - 1

=[tex]\boxed{11}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

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

A.

Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

[tex]slope=\frac{rise}{run} =\frac{1}{3}[/tex]

This slope is the same for all of the sides.

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

B.

We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}[/tex]

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

C.

The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

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

FH

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

[tex]slope=\frac{rise}{run} =-\frac{2}{2} =-1[/tex]

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

GE

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

[tex]slope=\frac{rise}{run} =\frac{4}{4} =1[/tex]

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

D.

Let's use the distance formula on each of our diagonals.

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

FH

[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}[/tex]

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

GE

[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6[/tex]

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

E.

They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

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

F.

They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

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

G.

Parallelogram- quadrilateral with opposite pairs of parallel sides.

Rhombus- a parallelogram with four equal sides

Square- a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

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

Have a wonderful day and keep on learning!

Answer:

yes

Step-by-step explanation:

substitute: 2(2.5)-1=4

                5-1=4 is correct