Does anyone know the answer to this question?

Hi there!

[tex]\large\boxed{102^o}[/tex]

Using the triangle exterior angle theorem, we know that:

∠4 = the other two angles of the triangle combined (both are given)

Thus:

∠4 = 51 + 51 = 102°

Angle 4 is an outside angle.

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

The two opposite inside angles to angle 4 are shown as 51 and 51

Angle 4 = 51 + 51

Angle 4 = 102 degrees.

Step-by-step explanation:

5⁰ - 5¹ = -4¹

(1/3)^‐1 + 2^-1 = 3 + 1/2 = (7/2)¹

Answer: -5

Step-by-step explanation: 5^0 is 0 and 5^1=5

0-5=-5

Answer:

Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25

Step-by-step explanation:

Answer:2.25

Step-by-step explanation:

hope this helps

Answer: 5x and -4x

Step-by-step explanation:

= 5x + (-4x)

= 5x -4x

= +x

= 5x × (-4x)

= -20x²

please click thanks and mark brainliest if you like :)

Answer:

1246 teams

Step-by-step explanation:

We are told there are 7women & 6men.

If 5 people are selected and there must be more women than men in the team.

This means there must be a minimum of 3 women.

Thus;

For 3 women;

7C3 × 6C2 = 525

For 4 women;

7C4 × 6C3 = 700

For 5 women;

7C5 × 6C0 = 21

Thus;

Total = 525 + 700 + 21 = 1246 teams

Answer:

B = 60in^2

H = 4in

P = 34in

SA = 280

Step-by-step explanation:

Base - The base I assume would be the red rectangle, and 12x5 would be the area of that, so the answer is 60

Height - I assume that the height is 12, if the prism is vertical, if horizontal, then the height would be 4.

Perimeter - The length of the side lengths, so the base is the red sqaure 12+12+5+5=34

Surface Area - Base=60*4 (There are 4 "bases") =240, and then we have 5*4 (For the little squares, and times this by 2 becasue there are 2 of them) = 20*2=40

40+240=280

Answer:

x=0   , x=8 , x = ±5i

Step-by-step explanation:

-x(x – 8)(x² + 25) = 0

Using the zero product property

-x =0   x-8 =0  x^2+25 =0

x =0    x= 8     x^2 = -25

x=0    x= 8    sqrt(x^2) = sqrt(-25)

                      x = ±5i

Answer:

3/(10-x) = 5/(10-x+x)

3/(10-x) = 1/2

6 = 10-x

x = 4

Hope this helps!

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x  = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11

Answer:

15

Step-by-step explanation:

[tex]37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15[/tex]

Answer:

Greatest vessel to fill each in exact number of times is 6 litres

Step-by-step explanation:

To solve this, we will find the greatest common factor of 36,18 and 72

Thus;

Their prime factors are;

18: 2, 3

36: 2, 2, 3, 3,

72: 2, 2, 2, 3, 3

The factors common to all of them are 2 & 3.

Thus;

GCF = 2 × 3 = 6

Answer:

6 weeks=6*7 days=42days

7/42 =1/6 =0.16667

OR

7 days=1 week

therefore 1/6=0.16667

Note that both must be in the same unit.

Answer:

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Step-by-step explanation:

if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that

11x + 10y = 10.6 * 20

x+y=20

10x+10y=200

11x+10y=212

x=12

y = 20-x = 20-12 = 8

so you want to use

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Answer:

Step-by-step explanation:

The dimensions as a pair, appear twice for each combination.

SA = 2* 16 * 8 + 2 * 16 * 6 + 2*8* 6

That's because when you look at the figure, there are 2 places each face is positioned.

SA = 256 + 192 + 96

SA = 544

Answer:

u should use a ruler and multiplied

Step-by-step explanation:

I dont know the step by step sorry

Answer: T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

Explanation: This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Answer:

see below

Step-by-step explanation:

0/7 = 0

We can divide 0 by a non zero number

5/0 = undefined

We cannot divide by 0

Answer:

8p^3 ( 2p -3)

Step-by-step explanation:

16p^4 - 24p^3

8*2* p^3 *p - 3*8*p^3

Factor out the common terms

8p^3 ( 2p -3)

Answer:

See explanation

Step-by-step explanation:

Your question is different from the attachment

Statement 1

1 adult + 5 Children

$4 for adult and total of $16 for both adult and children

Let

Cost of children skating = x

The equation is

4 + 5x = 16

Statement 2:

Cost of making a bike bag= $4

Selling price of the bike bag = $5

Profit = $16

Let x = number of bike bag

Profit = selling price - cost price

16 = 5x - 4x

16 = x(5 - 4)

Also written as

(5 - 4)x = 16

Statement 3:

Initial temperature = 16°C

Change in temperature per hour = 4°C

Final temperature = 5°C

Let

x = number of hours it changes

16 - 4x = 5

Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3

length of first yo-yo = 1 3/4

length of second yo-yo = 1

Length of third yo-yo = x

Total = 4 1/3

Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo

4 1/3 = 1 3/4 + 1 + x

4 1/3 = 2 3/4 + x

4 1/3 - 2 3/4 = x

13/3 - 11/4 = x

(52-33) / 12 = x

19/12 = x

x = 1 7/12

Answer:

123

Step-by-step explanation:

We can square and cube the equation, then multiply the results together.

(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides

a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )

a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)

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

Now cube both sides

a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )

a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)

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

Multiply (1) and (2)

(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)

[tex]a^{5}[/tex]  + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126

[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )

[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123

The probability of getting a 6 on one dice is 1/6

The probability of getting a 6 on both dice would be 1/6 x 1/6 = 1/36

Answer: 1/36

Answer:

B,D, and E

Step-by-step explanation:

Yes

Answer:

46.9 ft/sec

Step-by-step explanation:

A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.

Answer:

lower limit = 5

upper limit = 10

class mark = lower limit + upper limit ÷ 2 = 7.5

class size = upper limit - lower limit

= 10-5 = 5

Step-by-step explanation:

I hope this help you have an great day and safe health

Answer:

True.

Step-by-step explanation:

[tex]\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2[/tex]

Answer:

m is slope and y is the intercept

Answer:

Slope: -5/4

Step-by-step explanation:

Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{-4-6}{5-(-3)}[/tex]

Solve:

[tex]\frac{-4-6}{5-(-3)}[/tex]

-4 - 6 = -10

5-(-3) = 8

-10              5

-----   =   -  -----

8               4

The answer is -5/4

Hope this helped.

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

[tex]\frac{15}{18}=\frac{w}{30}[/tex] and cross multiply.

18w = 450 so

w = 25

Answer:

22= 2(pi)(r)(45/360)

28.01

C=176

Step-by-step explanation: