the table shows types of guinea pig food
(look at picture)

Answer:

m<C = 42°

Step-by-step explanation:

Given:

m<A = (2x - 2)°

m<C = (4x - 6)°

m<DBC = (5x + 4)°

Thus:

m<DBC = m<A + m<C (exterior angle theorem of a triangle)

(5x + 4)° = (2x - 2)° + (4x - 6)°

Solve for x

5x + 4 = 2x - 2 + 4x - 6

Collect like terms

5x + 4 = 6x - 8

5x - 6x = -4 - 8

-x = -12

Divide both sides by -1

x = 12

✔️m<C = (4x - 6)°

Plug in the value of x

m<C = 4(12) - 6 = 48 - 6

m<C = 42°

Step-by-step explanation:

[tex]\angle{DBC }[/tex]=(5x+4)°

[tex]\angle{ A }[/tex]=(2x-2)°

[tex]\angle{C }[/tex]=(4x-6)°

we know that,

[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]

According to the question,

[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]

[tex]\tt{ 5x+4=6x-8 }[/tex]

[tex]\tt{ 6x-5x=4+8 }[/tex]

[tex]\bold{x=12 }[/tex]

so,

[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°

Step-by-step explanation:

A 1 / A 2 = B2 / B1

4 / A 2 = - 72 / 9

A 2 = - I / 2

Answer:

-1/2

Step-by-step explanation:

i got the same question and found the answer

Answer:

D

Step-by-step explanation:

its 6x + the 4 he gave him

Answer:D

Step-by-step explanation:

took the test

Answer:

Its C, f(x)=18[2/3]x-1

Step-by-step explanation:

yep

Answer:

Correct!!!

C- f (x) = 18 (two-thirds) Superscript x minus 1

:)

Answer:

2a - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(a - 3) + (a - 5)

Step 2: Simplify

Hello!

[tex]\large\boxed{a = 0, -3, 7}[/tex]

a³ = 4a² + 21a

Move all "a" to one side:

0 = -a³ + 4a² + 21a

Factor out "-a" from the equation:

0 = -a(a² - 4a - 21)

Solve for a by factoring:

0 = -a(a - 7)(a + 3)

Solve for the roots by setting each factor equal to 0:

-a = 0

a = 0

a - 7 = 0

a = 7

a + 3 = 0

a = -3

Solutions: a = 0, -3, 7

Answer:

distributive property :)

Answer:

2( x + 4)

Step-by-step explanation:

2

x

+

8

Factor  

2

out of  

2

x

.

2

(

x

)

+

8

Factor  

2

out of  

8

.

2

x

+

2

⋅

4

Factor  

2

out of  

2

x

+

2

⋅

4

.

2

(

x

+

4

)

Answer:

Option (b) is true.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{100-x}[/tex]

plug in x = 5 in the function

[tex]f\left(5\right)=\sqrt{100-5}[/tex]

[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]

[tex]f(5) = 9.75[/tex]

plug in x = 10 in the function

[tex]f\left(10\right)=\sqrt{100-10}[/tex]

[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]

[tex]\:f\left(10\right)=9.49[/tex]

plug in x = 15 in the function

[tex]f\left(10\right)=\sqrt{100-15}[/tex]

[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]

[tex]\:\:f\left(15\right)=9.22[/tex]

Thus, the table will be:

x              f(x)

0              10

5              9.75

10             9.49

15             9.22

Therefore, option (b) is true.

Answer:

745

Step-by-step explanation:

Answer:

745.

Step-by-step explanation:

Next time you can use a calculator so you don't use up your points if you want.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

-22 or -2

Step-by-step explanation:

Understanding size

If RS is 10, it does not matter where they are. As long as they are 10 units apart, it works.

However, we already know S lies at -12 so we only have 2 choices for R.

Check the picture I uploaded for better understanding.

This is because RS doesn't mean that R has to be before S. It just means that they are a segment. This means that RS and SR are the same segments.

190 square feet.

Step-by-step explanation:

In this problem, we assume that the courtyard measures 950 square feet.

So, 20% of 950 is

That is, the 20% of the courtyard is 190 square feet.

Therefore, the complete statement is

Since 20% of 950 is 190 , students can use 190 square feet of the courtyard:

190 square feet.

Step-by-step explanation:

In this problem, we assume that the courtyard measures 950 square feet.

So, 20% of 950 is

20 \%(950)=\frac{20}{100}950=\frac{1}{5}950= 190ft^{2}20%(950)=

100

20

950=

5

1

950=190ft

2

That is, the 20% of the courtyard is 190 square feet.

Therefore, the complete statement is

Since 20% of 950 is 190 , students can use 190 square feet of the courtyard

Answer:

x=1, y= -1

Step-by-step explanation:

x = 2y +3

3x -y = 4

Use the substitution method because we have x= something in terms of y

3 (2y+3) -y = 4

6y + 9 -y = 4 subtract 9 from both sides

6y -y = 4-9 combine like terms

5y = -5 divide both sides by 5

y = -1

x= 2*(-1) +3 = -2+3 = 1

Answer:

An hour and 30 minutes.

Step-by-step explanation:

In one hour, they travel 8 kilometers. They then have 4 kilometers left. 4 is half. of 8, so I would possibly take half the time it would to travel 8, making it 30 minutes for the other 4 kilometers.

Answer:

$186.30

Step-by-step explanation:

87 + 75 = 162

162 + 15% = 186.3

Answer: your new total is $162.65

Step-by-step explanation:

it added 87.50 + 75.00 + 15% and got $162.65

HCF is 4

Step-by-step explanation:

factors of 52 are: 2x2x13

factors of 48 are:2x2x2x2x3

common factors of 52%48 are: 2

hence, = 2x2

=4

hope it helps

Answer:

3x + 5=12

Thanks a lot

Hope it hels

Step-by-step explanation:

[tex] \sqrt{3 - 3} + \sqrt{9 - - 2} [/tex]

[tex] \sqrt{0} + \sqrt{11} [/tex]

[tex] \sqrt{11} [/tex]

Thats the answer of distance

Answer:

787

Step-by-step explanation:

i took the test

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding P

[tex]A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640[/tex]

So, We get the value of Principal amount i.e initial investment = $61640

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

Invertible functions are functions whose inverse can be calculated.

The values of the expressions are: [tex]f^{-1}(f(5)) = 5[/tex] and [tex]f(f(5)) = 11[/tex]

The table entry is given as:

x | 5 | 3 | 1 | 18 | 0 | 9

f(x) | 9 | -2 | -5 | -1 | 1 | 11

(a) Calculate f^-1(f(5))

Start by calculating f(5).

From the table, we have:

[tex]f(5) = 9[/tex]

Take inverse function of both sides

[tex]f^{-1}(f(5)) = f^{-1}(9)[/tex]

From the table, the inverse value of 9 is 5.

i.e. [tex]f^{-1}(9) = 5[/tex]

So, we have:

[tex]f^{-1}(f(5)) = 5[/tex]

(b) Calculate f(f(5))

In (a) above, as have:

[tex]f(5) = 9[/tex]

So, the function becomes

[tex]f(f(5)) = f(9)[/tex]

From the table, the value of f(9) is 11.

So, we have:

[tex]f(f(5)) = 11[/tex]

Read more about invertible functions at:

https://brainly.com/question/15300796

Answer:

Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Step-by-step explanation:

Aimee's garbage disposal horse power = 7/8

Vincent's garbage disposal horse power = 3/5

All we need is to subtract Vincent's power from Aimee's power.

i.e.

[tex]\frac{7}{8}-\frac{3}{5}[/tex]

Thus,

[tex]\frac{7}{8}-\frac{3}{5}\:=\frac{35}{40}-\frac{24}{40}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

         [tex]=\frac{35-24}{40}[/tex]

         [tex]=\frac{11}{40}[/tex]

Thus,  Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Answer:

Calm down jamal. dont pull out the nine

Step-by-step explanation:

Answer:

The average rate of change

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          [tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

The       [tex]\frac{dh}{d t} = 70 (1) - 16(2t) =0[/tex]

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     [tex]t = \frac{70}{32} = \frac{35}{16}[/tex]

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

At t = 3