IN THE FIGURE 5.24 TO THE RIGHT ABCD IS A RHOMBUS.SHOW THAT AC IS THE BISECTOR OF <BAD.​

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]

[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]

[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]

[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]

[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]

The sides are exactly have like terms ,

Thus we have infinite solution for the equation.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3

Answer:

9*5=45

3*3*5=45

Therefore:

3^2 *5 = 45

i hope this helps :)

Answer:

c

Step-by-step explanation:

7 plus 7 equals 28 and 28 minus 7 equals 21

Answer:

0.375 litres

Step-by-step explanation:

Given that:

Total amount of lemonade held by pitcher = 3 litres

Number of people in which lemonade is to be given equally = 8

Amount of Lemonade received by each person will be:

Total amount of lemonade / number of persons

3 litres / 8

= 0.375 litres

Each person receives 0.375 litres of lemonade

Answer:

94%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary. These variables include things like the relationship between the supply of an object and its price.

Answer:

Algebra

Step-by-step explanation:

This is because the branch of mathematics that uses variables, numbers, and operations is called algebra.

Answer:

Point form: (9,-5)

Step-by-step explanation:

y=-2/3x+1 and x+y=4

Point form: (9,-5)

Equation form: x = 9, y = -5

Answer:

The answer would be c

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The indicated operation is multiplication, therefore:

-1 × 1 × 2 × 2 × -2 = 8

Answer:

Step-by-step explanation:

She has $50 and before she earn $20 had $50-$20=$30

so she had $60

payed for video game $30 now has $30

earn from parents $20 now has $50

If she would not bye the video game she would have had $80 saved

Answer:

x=7

Step-by-step explanation:

Answer:

7

My Logic:

If you work backwards to simplify the eqation you can get x

take 5x-7=28 and add 7 to  both sides. so now the eqaton looks like this: 5x=35. next you divide 5 into both sides and you will get 7!

Hope this helps!

Answer:

12/50 - 6/25 The simplest form in 6/25

Hope This Helps!

Answer:

55

Step-by-step explanation:

220 divided by 4, is 55.

Answer:

# of sides [tex]{}[/tex]  Interior               One Interior Angle  Exterior           One

           [tex]{}[/tex]        Angle Sum                                          Angle Sum     Exterior Angle

14   [tex]{}[/tex]              2,160°                 154.3°                            360°           25.714°    

24    [tex]{}[/tex]            3,960°                165°                                360°            15°

8    [tex]{}[/tex]               1,080                 135°                                360°            45°

30    [tex]{}[/tex]            5,040                 168°                                360°            12°

12    [tex]{}[/tex]             1,800                  150°                                360°            30°

Step-by-step explanation:

Please find attached the table of values calculated with Microsoft Excel

From the given table, we have the formula for the following parameters;

Number of sides = n

Interior Angle Sum = 180×(n - 2)

Measure of ONE Interior = 180×(n - 2)/n        

Angle (regular polygon)  

Exterior Angle Sum = 360°

Measure of ONE Exterior = 360°/n

Angle (regular polygon)

1) When n = 14, we have;

The interior Angle Sum = 180×(14 - 2) = 2,160°

The measure of one Interior angle (regular polygon) ;  180×(14 - 2)/14 ≈ 154.3°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°

2) When n = 24, we have;

The interior Angle Sum = 180×(24 - 2) = 3,960°

The measure of one interior angle (regular polygon);  180×(24 - 2)/24 = 165°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/24 = 15°

3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;

n = 1,080°/180° + 2 = 8

n = 8

The measure of one interior angle (regular polygon);  180×(8 - 2)/8 = 135°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/8 = 45°

4) When the interior angle sum = 180×(n - 2) = 5,040°

n = 5,040°/180° + 2 = 30

n = 30

The measure of one interior angle (regular polygon);  180×(30 - 2)/30 = 168°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/30 = 12°

5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;

180°·n - 2×180° - 150°·n = 0

30°·n = 360°

n = 360°/30° = 12

n = 12

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/12 = 30°

Answer:

D) 0.9

Step-by-step explanation:

The common ratio of a sequence is the amount you multiply a term by to get the next one. To find this number divide the second term by the first term, so 36/40. This will give you 0.9, to check your answer take the first term and multiply it by the common ratio a few times; you should get the exact sequence listed in the question.

Answer:

I dont get it if u put options it will be helpful

Step-by-step explanation:

pls dont be mad have a wonderful day :D

Hey there! I'm happy to help!

The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:

30: 1, 30, 2, 15, 3, 10, 5, 6

45: 1, 45, 3, 15, 5, 9

We see that the largest number they both have in common is 15, so the GCF is 15.

Have a wonderful day! :D

Given:

In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.

Perimeter of ABC is 50m and the perimeter of ABD is 40m.

To find:

The length of BD.

Solution:

In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.

[tex]AB=BC[/tex]           ...(i)

[tex]AD=CD[/tex]

[tex]AC=2AD[/tex]         ...(ii)

Perimeter of ABC is 50m.

[tex]AB+BC+AC=50[/tex]

[tex]AB+AB+2AD=50[/tex]      [Using (i) and (ii)]

[tex]2AB+2AD=50[/tex]

[tex]2(AB+AD)=50[/tex]

Divide both sides by 2.

[tex]AB+AD=25[/tex]        ...(iii)

Now, perimeter of ABD is 40m.

[tex]AB+AD+BD=40[/tex]

[tex]25+BD=40[/tex]         [Using (iii)]

[tex]BD=40-25[/tex]

[tex]BD=15[/tex]

Therefore, the length of BD is 15m.

Answer:

--> (-7)+3 = -4

--> (-5) +1=-4

-->(-3)+(-1)=-4

Answer:

(x+3)x(x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the truck mover 3 km one way, 3 km back, so he moves 6 km

one way the truck needs 30 min, on the way back 20 min

so we have 6 km in 50 min

v=distance/time

v one way=3km/30 min=0.1 km/min

v on the way back=3 km/20min=0.15 km/min

v average =0.1+0.15=0.125 km/min

or 7.5 km/hour

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Hence, by substitution:

[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]

Distribute:

[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]

Rearrange:

[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]

Combine like terms:

[tex]=-6x^2-x-7[/tex]

Hence, our answer is A.

Answer:

Step-by-step explanation:

3x^2 - 2x - 9x^2 + x - 7

-6x^2 - x - 7

answer is A

Answer:

528 cookies

Step-by-step explanation:

3 hours 55 minutes

=3×60+55

=235 and

235-215 ( for preheating minutes)

220

So

20 minutes…=48 cookies

1. ". =48/20 "

220 ". =48/20×220 "

=12/5×220 "

= 528 "

Answer:

well im not sure but i got 220

Step-by-step explanation:

so you convert the 3 hours and 55 minutes into minutes so

3*60=180

180+55=235

235-15=220

(for the preheating part)

220/48=4.583333333

4.583333333*48=(about)220  (actual number is 219.999999984)

so 220 cookies

Answer:

10 since its half of the original

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

Final Answer: [tex]b = 0[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation [tex]4b + 6 = 2 - b + 4[/tex]?

Step 1: Simplify [tex]2 - b + 4[/tex] to [tex]6 - b[/tex].

[tex]4b + 6 = 6 - b[/tex]

Step 2: Cancel [tex]6[/tex] on both sides.

[tex]4b = -b[/tex]

Step 3: Subtract [tex]-b[/tex] from both sides.

[tex]4b + b = 0[/tex]

Step 4: Simplify [tex]4b + b[/tex] to [tex]5b[/tex].

[tex]5b = 0[/tex]

Step 5: Divide both sides by [tex]5[/tex].

[tex]b = 0[/tex]

~I hope I helped you :)~

Answer:

b = 0

Step-by-step explanation:

(Combine like terms):              4b + 6 = 2 - b + 4  

                                                 4b + 6 = 6 - b    

(Use Addition property of

equality to add b):                    4b + b + 6 = 6

                                                  5b + 6 = 6

(Use Subtraction property of

equality to subtract 6):               5b + 6 - 6 = 6 - 6

                                                           5b = 0

(Divide both sides by 5):           5b = 0

                                                     5     5