a) Work out the size of angle x.
C
A
to
b) Give reasons for your answer.
В B.
E
F
105
Н
G

Answer:

x = 2

y = -3

Step-by-step explanation:

6x+6y = -6

x = -5y-13

substitute for x

6(-5y-13) + 6y = -6

-30y-78+6y = -6

-24y-78 = -6

add 78m to each side

-24y = 72

divide each side by -24

y = -3

x =-5(-3)-13 = 2

Answer:

(5-2t)<-4

Step-by-step explanation:

The temperature is 5 °C at midnight, and it is dropping at a speed of 2 °C each hour. If it's past midnight, the temperature will be t degrees after t hours ( 5 - 2t ). If the temperature is below - 4 ℃, the inequality can be  ( 5-2t ) - 4

Answer: 22 and 20

Step-by-step explanation: Good luck! :D

Answer:

20+22

Step-by-step explanation:

42-20=22

22+20=42

Answer:

19 tables = $201

t tables = 9t+30

Step-by-step explanation:

the slope would be 9 because she gets $9 for each table (t), 30 would be the y-intercept because she will always get that amount each week.

Insert 19 to equation:

y(t) = 9(19) + 30

Solve:

201

Hope this helped :)

Answer:

a. 9(2m+7)

b. 4(3r-1)

Step-by-step explanation:

When factoring out the greatest common factor of expressions, first list the factors of the terms. Then, determine the greatest common factor between the two terms. After, "carry" that number out of the expression through division.

a. 18m+63

Start by listing the factors of 18 and 63.

18: 1, 2, 3, 6, 9, 18

63: 1, 3, 7, 9, 21, 63

The greatest common factor of 18 and 63 is 9, so we can carry 9 out of the expression through division:

18m+63

= 9(2m+7)

b. 12r-4

Start by listing the factors of 12 and 4.

12: 1, 2, 3, 4, 6, 12

4: 1, 2, 4

The greatest common factor of 12 and 4 is 4, so we can carry 4 out of the expression through division:

12r-4

= 4(3r-1)

I hope this helps!

Answer: x=1

Step-by-step explanation:

In any parallelogram, the two diagonal bisects each other. (For visual, please look at the attachment below)

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

Given

6x=5x+1 (They are the two segments of one diagonal. Since they are        

               bisected, they are equal)

Subtract 5x on both sides

6x-5x=5x+1-5x

x=1

Hope this helps!! :)

Please let me know if you have any questions

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]

Domain is set of all real numbers.

Range is greater or equal to 0.

Answer:

2.5 ft/hr Step-by-step explanation: divide the number of hours by the number of feet.

Step-by-step explanation:

Answer:

Hello!

2/5 feet per hour

d = vt

1 1/2 or (3/2) = v(3.75 hours or 15/4)

divide both sides by 3.75 hours

0.4 or  2/5

Hope this helps :))

Answer: 0.029736

Step-by-step explanation:   sorry i know it not the best but i couldnt do it another way anyways hope this helps

         2 9 7 3 5 .

9 7 5 2 6 | 2 9 0 0 .      

1 9 5 0 . 5 2    

9 4 9 . 4 8 0    

8 7 7 . 7 3 4    

7 1 . 7 4 6 0  

6 8 . 2 6 8 2  

3 . 4 7 7 8 0  

2 . 9 2 5 7 8  

5 5 2 0 2 0

4 8 7 6 3 0

6 4 3 9 0

Answer:

D) [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex]

Step-by-step explanation:

You have to use the laws of exponents to solve this:

Power of a Power: [tex](a^{m} )^{n} = a^{mn}[/tex]. In this case, [tex](4g^{3} h^{2} k^{4} )^{3}[/tex], all of the numbers in the parenthesis need to be multiplied to the power of 3: [tex]4^{3} g^{9} h^{6} k^{12}[/tex].

Quotient of Powers: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this case, [tex]\frac{4^{3} g^{9} h^{6} k^{12}}{8g^{3} h^{2} }[/tex], all of the exponents need to be subtracted (but the 4³ (64) and 8 need to be divided): [tex]8g^{6} h^{4} k^{12}[/tex].

Use the Power of a Power again for the expression at the right: [tex](h^{5} k^{3} )^{5}[/tex]. You get: [tex]h^{25} k^{15}[/tex]. Keep the subtraction/negative sign where it is.

Together, you get: [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex].

Hope it helps!

Step-by-step explanation:

If the interest on the loan is simple interest. Both the situation will have equal amount of interest ( 5*2 =10% of total amount). Therefore, it would be better to pay back with 2% interest paid back in five years. However, if the interest is compounded annually, 5% in 2 years will have lesser interest than 2% in 5 years. Hence, Former option would be better.

Answer:

It is not correct, but very, very close, so great job!!

Step-by-step explanation:

When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.

The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.

Answer:

Step-by-step explanation:

y = -2

4x - 3y = 18

4x - 3(-2) = 18

4x + 6 = 18

4x = 12

x = 3

(3, -2)

Answer:

I love algebra

The ans is in the picture with the steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

C. AB/EF = BC/EF

Step-by-step explanation:

If the triangles are similar then the ratio of these side lengths must be equal.

Answer:

$39.59

Step-by-step explanation:

37 increase 7% =

37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59

Answer:

21

Step-by-step explanation:

2 + 7 = 9

27/9 = 3

3 times 7 = 21

Answer:

9

Step-by-step explanation:

the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.

So u just subtract 24 from 33:

33 – 24 = 9

and that's your range! hope this helps!

Answer:

50 deer in the forest.

Step-by-step explanation:

Since this is a ratio problem and we are given three values and a single unknown (total number of deer) we can use the Rule of three to solve for the variable. We do this by multiplying the diagonal values and then dividing by the last available value. That will give us the value of the variable which in this case would be represented as x.

20 deer <======>  6 tagged

x  deer  <======>  15 tagged

(20*15) / 6 = x

300 / 6 = 50 total deer

Based on these values we can estimate that there are a total of 50 deer in the forest.

Answer:

32

Step-by-step explanation:

First you're going to change 20% to a decimal which would be 0.20

Next, multiply .20 by 40

You should get 8

Subtract 8 from 40

You're answer is 32

Answer:

П  П

 П

П  П

 П

П  П

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Step-by-step explanation:

the pattern goes 10, 9, 16, 16, 10, 9, 16, 16, 10, 9, 16, 16, 10...…

Answer:

$540

Step-by-step explanation:

Multiply 10.80 by the 5 sisters then divide your answer by 10%

Answer:

Step-by-step explanation:

20ft($18.40/80ft)=$4.60

Answer:

$4.6

Step-by-step explanation:

Use 18.40 and 80. if $18.40 is 80 feet, divide 18.40 by 4 to get 4.60. Now you know that you got 4.60, see if you can add 4.6 four times to get to 18.4. (You can.) So, 20 feet is $4.60 or $4.6.

Answer:

2002.77mm³

Step-by-step explanation:

Formula : pi × r²× height

pi × 5² × 25.5 = pi × 25 × 25.5 = 2002.765317mm³

Answer:

y = 181

Step-by-step explanation:

Doubling Formula:

[tex]y = a(2)^\frac{t}{d}[/tex]

y=80

d=17

t=20

​

plug in

y=80(2)[tex]^\frac{20}{17}[/tex]

y=180.818525349

y≈181

i hope this helps some!

Answer: 149

Step-by-step explanation:

Answer:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.

Answer:

$138

Step-by-step explanation:

$120 going up 15% = $138