What is the value of x in the product of powers below?
6^9 x 6^x =6^2
0-11
O -7
07
11

Answer:

The measure of the angle is 11 and its complement is 79 degrees

Step-by-step explanation:

Mathematically, when two angles are complementary, the sum of the angles equal 90 degrees

so now, if the first angle is x , the second angle which is increased by 68 degrees will be x + 68

So now if we add these two, the value we will get is 90 degrees

Mathematically, we have this as;

x + x + 68 = 90

2x + 68 = 90

2x = 90-68

2x = 22

x = 22/2

x = 11

the measure of the angle is 11 and its complement will be 11 + 68 = 79

Answer:

1). AC=8.25cm

2). DB=7cm & EC=14cm

3). See Explanation

Step-by-step explanation:

According To the Question,

Given That, In ∆ABC, D and E are points on the sides AB and AC respectively such that DE is parallel to BC.

1). If AD= 2.5 cm ,BD = 3cm ,AE = 3.75 cm find length of AC.

Well we can apply Basic proportionality Theorem.

Since DE ║ BC ⇒ Sides are proportional and the angles are equal.

⇒ AD / BD = AE / EC

⇒ 2.5 / 3 = 3.75 / EC

On Solving we get,  

⇒ EC * 2.5 = 3.75 * 3  

⇒ EC * 2.5 = 11.25  

⇒ EC = 11.25 / 2.5  

⇒ EC = 4.5 cm

Thus,  

AC = AE + EC

⇒ AC = 3.75 + 4.50

⇒ AC = 8.25 cm  

Hence the measure of AC is 8.5 cm.

2). If AD = 4 cm , AE =8cm ,DB =x – 4 cm ,EC =3x -19 cm

Well we can apply Basic proportionality Theorem.

Since DE ║ BC ⇒ Sides are proportional and the angles are equal.

⇒ AD / BD = AE / EC

⇒ 4 / (x-4) = 8 / (3x-19)

on solving we get,

⇒ 3x-19 = 2(x-4)

⇒ 3x-19 = 2x-8

⇒x=11

Thus, DB =x–4 ⇒ 11-4 ⇒ DB=7cm

And, EC =3x-19 ⇒ 3×11-19 ⇒ EC=14cm

3). If AD=2cm , BD= 4cm , show that BC = 3 DE

Thus, AB = AD + DB = 2+4 = 6cm

Well we can apply Basic proportionality Theorem.

Since DE ║ BC ⇒ Sides are proportional and the angles are equal.

⇒ AD/AB = DE / BC

⇒ 2 / 6 = DE / BC

on solving we get

⇒ BC = 3 DE Hence, Proved

Answer:

$843.67

Step-by-step explanation:

We can use a proportion to solve this problem:

12 : 100 = x : 896

x =(896 * 12)/100 = $107,52

896 - 107.52 = $788,48 (price of the computer after the discount)

7 : 100 = x : 788,48

x = (788,48 * 7)/100 = $55,1936

788.48 + 55,1936 = 843,6736 = $843.67 (final price)

Answer:

must be parallel

Step-by-step explanation:

They must be parallel.

Step-by-step explanation:

Length of a rope is 5 meter. it means the rope is 5 meter long..

Answer:

a). 6:51

b). 6:30 am

c). 34 minutes

Step-by-step explanation:

a). Train leaves Westchester at 6:30.

   From the arrival - departure table in column (2),

   Arrival time of the train at middlewich = 6:51

b). Kate has to reach Southam before 9:00 am

   Therefore, time of the latest train that she can catch to get to work on time is 6:30 am

    By this train she can reach at 07:19 at Southam.

c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00

                                                                                        = 00:34

                                                                                        ≈ 34 minutes

Answer:

From top to bottom;

1,1,3,3

Step-by-step explanation:

mathematically, for an even function;

f(x) = f(-x)

what this mean is that;

f(-1) = f(1)

f(-3) = f(3)

f(-5) = f(5)

f(-6) = f(6)

so we have it that;

f(-1) = 1

f(-3) = 1

f(-5) = 3

f(-7) = 3

Answer:

5:15 simplified as 1:3

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A.-6r+6

Answer:

hey hope the given pic are helpful(sorry for my bad writing)

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family

Answer:

48

Step-by-step explanation:

2-6$83737463363+77#7#+#++;#+#73737363644646464672727282939

Answer:

10

Explanation:

n(U)= 50

n०(E)= 15

n०(F)= 20

number of (E U F) whole complement= 5

NOW,

n(U)= 15+20+5+n(E intersection F)

or, 50= 40+n(E intersection F)

.•. n( E intersection F) = 10

Answer: 24 square cm.

8*6=48

48/2=24

Answer:

24 cm^2

Step-by-step explanation:

(w*h)/2

Answer:

solve for what exactly, there is no equation here

Step-by-step explanation:

please there's no equation here

Answer:

Step-by-step explanation:

D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer.

Answer:

D.The sign of h must be negative and the signal of k must be positive EDGE 2021

Answer:

72 cm²

Step-by-step explanation:

Area = 9(8) = 72

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

Answer:

domain=1

range= -2

hope it helps

Answer:

80 units

Step-by-step explanation:

KN = MN

9x - 5 = 7x + 7

2x = 12

x = 6

KM = 2KL

KM = 2(6x + 4)

KM = 12x + 8

KM = 12(6) + 8

KM = 80

Answer:

80

Step-by-step explanation:

Given:

30-hour review course average a score of 620 on that exam.

70-hour review course average a score of 749.

To find:

The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

Solution:

Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

70-hour review course average a score of 749. So, the linear function passes through the point (70,749).

The linear function passes through the points (30,620) and (70,749). So, the linear equation is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]

[tex]y-620=\dfrac{129}{40}(x-30)[/tex]

[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]

[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]

Adding 620 on both sides, we get

[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]

[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]

[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]

We need to find the y-value for [tex]x=57[/tex].

[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]

[tex]y=183.825+523.25[/tex]

[tex]y=707.075[/tex]

[tex]y\approx 707.1[/tex]

Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.

Answer:

It is d

Step-by-step explanation:

Answer:

4/9 of an hour (26.666 minutes)

Step-by-step explanation:

4 * x * 40/60 = 1

x * 160/60 = 1

x=60/160 = 6/16 = 3/8 (this is the rate for one worker)

~~~~~~~~~~~~~~~~

6 * (3/8) * x = 1

x = 4/9

Answer:

g = 48

k = 18

Step-by-step explanation:

h / 10 = 60 / 12

h / 10 = 5

h = 5 x 10

h = 50

40 / h = g / 60

40 / 50 = g / 60

4 / 5 = g / 60

g = ( 60 x 4 ) / 5

= 12 x 4

g = 48

90 / k = 60 / 12

90 / k = 5

k = 90 / 5

k = 18

Answer:

80°

Step-by-step explanation:

Triangle ABC and CYZ are similar so the angles would also be same

Answer:

PLZZ MARK ME BRAINLIEST..!

Step-by-step explanation:

Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f

Add for total weight: 7 1/10 f +2

Dads fish: 3f+2, 4/5f, 2f+4, 1/2f

Add for total weight:  6 3/10f +6

set the 2 total weights equal:

6 3/10f +6 = 7 1/10f +2

Subtract 6 3/10f from each side:

6 = 8/10f  + 2

Subtract 2 from each side:

4 = 8/10f

Divide both sides by 8/10:

f =  5

Bridget's first fish weighed 5 ounces.

Dads first fish weighed:  2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.

Answer:

Step-by-step explanation:

[tex]Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}[/tex]

x * 0.7771 = 7

[tex]x =\frac{7}{0.7771}=9.007[/tex]

x = 9

Answer:

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Step-by-step explanation:

Square:

In a square, all sides have the same length.

A (0, 0) and B (0, m).

This means that the length of the sides is m.

So:

From A, adding m vertically, we get point (0,m), which is B.

From A, adding m horizontally, we get point (m,0), which I will call D.

From B, adding m horizontally, we get point (m,m), which I will call C.

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

The number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

Peter sold a cup of lemon juice = $1.25

Peter sold a cup of apple juice =  $2.50

Total number of cups sold = 155 cups

Total amount = $256

Let number of cup of lemon juice be x and

let number of cup of apple juice be y

The equations for the above statements are

[tex]x + y = 155 ------- (1)\\1.25x +2.50y = 256 ------- (2)[/tex]

From equation 1,

⇒ [tex]x=155-y[/tex]

Now substitute x in equation 2,

⇒ [tex]1.25(155-y)+2.50y=256[/tex]

⇒ [tex]193.75-1.25y+2.50y=256[/tex]

⇒ [tex]1.25y=256-193.75[/tex]

⇒ [tex]1.25y=62.25\\[/tex]

⇒ [tex]y=\frac{62.25}{1.25}[/tex]

⇒ [tex]y=49.8[/tex] ≈ [tex]50[/tex]

Now substitute y in equation 1,

⇒ [tex]x=155-50[/tex]

⇒ [tex]x=105[/tex]

Hence we can conclude that the number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

Learn more about the system of equation here

https://brainly.com/question/12760602

#SPJ3

Given:

The equation is:

[tex]4\log_2(2x)=x+4[/tex]

The graph of the [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are given on a coordinate plane.

To find:

The solution of the given equation from the given graph.

Solution:

From the given graph it is clear that the graphs of [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] intersect each other at points (1.24,5.24) and (16,20).

It means the values of both functions [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are equal at [tex]x=1.24[/tex] and [tex]x=16[/tex].

So, the solutions of given equation are [tex]x=1.24[/tex] and [tex]x=16[/tex].

Therefore, the correct option is only F.

Answer:

In order:

Distributive Property

Subtraction Property of Equality

Division Property of Equality or Reciprocal Property

Step-by-step explanation: