which is the solution to this system of equations?

2x+y=8
2x+y=4

The measure of angle ABC = ABD + DBC = 95 degrees.

Let's plug our values from the picture into our equation above.

95 = 2x + 23 + 9x - 5

Combine like terms

95 = 11x + 18

Subtract 18 from both sides

77 = 11x

Divide both sides by 11

7 = x

Angle ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37 degrees.

Angle DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58 degrees.

Answer:

12

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

count the spaces between the two numbers

The number line is the representation of numbers in real order.

The number line can be assumed as:

-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10

       (Cedric)                                              (Rebecca)  

The straight-line distance between the two friends, in meters, is 11 meters.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

On a school playground, a math teacher draws a number line with values from 10 to 10.

The distance between each consecutive number is 1 meter.

We can assume the number line to be as,

-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10

       (Cedric)                                              (Rebecca)  

The distance between Cedric and Rebecca.

= 4 - (-7)

= 4 + 7

= 11

Thus,

The straight-line distance between the two friends, in meters, is 11 meters.

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The answer is 16 cm approx.

Diameter= 2[tex]\sqrt{a/pi}[/tex]

=>2[tex]\sqrt{201 / 22/7}[/tex]

=>2[tex]\sqrt{201*7/22}[/tex]

=>15.997.......

=> 16 approx

Hope this helps you!!

Answer:

The diameter of the circle  is 16

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius

[tex]\pi r^{2} = 201[/tex]   =   [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)

[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex]   cross out 3.14 leaves you with [tex]r^2[/tex]  and divide 201/3.14= 64.01

[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex]  square root 64.01 which equals 8

Diameter = [tex]2r[/tex]    2(8) = 16

To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298

Answer:

20 seconds.

Step-by-step explanation:

Divide 4000 by 200.

Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 8.3x + 8.1

To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x

That's

8.3x + 8.1 = 65.37

Subtract 8.1 from both sides

That's

8.3x + 8.1 - 8.1 = 65.37 - 8.1

8.3x = 57.27

Divide both sides by 8.3

[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]

We have the final answer as

Hope this helps you

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

Answer:

8.66 ft

Step-by-step explanation:

A square is a shape that has an equivalent length and breadth across it’s cross section.

What this means is that measuring the length across the top and bottom will yield the same length value.

Thus, mathematically, let’s call the measured height h

The square of this height gives the area

thus;

h^2 = 75

h = √75

h = 8.660254037844

This is approximately 8.7 to one decimal place

Answer:

what was your question?

Answer:

c/20  cups

Step-by-step explanation:

Number of students in the baking club = 10

If each student made 2 cakes

then total cakes prepared by the students = 10 × 2 = 20

If total amount of flour used to prepare 20 cakes = c cups

and amount of flour used to prepare one cake = n cups

Then amount of flour used to prepare 20 cakes = 20n

Therefore, total amount of flour c = 2n

or n =  c/20

Amount of flour used for one cake =  c/20 cups

Answer:

the answer is c/20 cups!

Step-by-step explanation:

Yay you did great good job

Answer: 1/3

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

hhrnfg

Step-by-step explanation:

jsfd

Answer:

-318

Step-by-step explanation:

2^5 - 7^3

25 - 343

= -318

Answer:

[tex]\boxed{\tt -311}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]g^5-h^3[/tex]

and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].

Substitute 2 in for g and 7 in for h.

[tex](2)^5-(7)^3[/tex]

Evaluate the exponents.

⇒ 2⁵= 2*2*2*2*2= 32

[tex]32-(7)^3[/tex]

⇒7³= 7*7*7=343

[tex]32-343[/tex]

Subtract 343 from 32.

[tex]-311[/tex]

The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311

Answer:

well definitely the  graph is y= -6x + 15 so the graph of -6x is transformed up 15 units on the y axis

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3(2x - y) + 2(4x + y)}[/tex]

Distribute 3 through the parentheses

Similarly , distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}[/tex]

Combine like terms and simplify

[tex] \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{14x - y}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

-2.5 is correct answer

Answer:

The number is 27

Step-by-step explanation:

let the number be x

3/4 ( 7-x)=-15

21/4 - 3/4x=-15

collect like terms

-3/4x=-15-21/4

-3/4x=-81/4

divide both sides by -3/4

x=27

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

Answer:2.9477843782957987827878

Step-by-step explanation:

Standard form is just putting the exponents in descending order.

Standard form: 13x^8 + 4x^5 - 16x^2

The degree of a polynomial is the largest exponential value of a term.

In this case, the degree of the polynomial = 8

The value of 'a' will be 8.

And, The value of side PQ will be 28 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle PQR ≅ Triangle XYZ

Now,

Since, Triangle PQR ≅ Triangle XYZ

So, we get;

Measure of PQ = Measure of XY

Substitute the given values of sides, we get;

Measure of PQ = Measure of XY

⇒ 3a + 4 = 5a - 12

Solve for a as;

⇒ 3a + 4 = 5a - 12

⇒ 3a - 5a = - 12 - 4

⇒ - 2a = - 16

⇒ 2a = 16

⇒ a = 8

Hence, Measure of PQ = 3a + 4

                                    = 3 × 8 + 4

                                    = 24 + 4

                                    = 28

Thus, The value of 'a' will be 8.

And, The value of side PQ will be 28 units.

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Step-by-step explanation:

Straight line = 180 °

5x + 78 = 180

5x = 180 - 78

5x = 102

x = 20.4

and y = 78 ° because y is an opposite angle of 78 °

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

3(a - 1) + 2a = a + 1

Step 2: Solve for a

Distribute 3: 3a - 3 + 2a = a + 1

Combine like terms: 5a - 3 = a + 1

Subtract a on both sides: 4a - 3 = 1

Add 3 on both sides: 4a = 4

Divide both sides by 4: a = 1

Answer:

Step-by-step explanation:

-6(5-7s) = 20

-30 + 35s = 20

Add 30 both sides

35s = 50

Divide by 35 both sides

S=1.4

Answer:

Step-by-step explanation:

The answer is A

they are corresponding angles

Answer:

2

Step-by-step explanation:

4 1/4 bags of flour multiplied by 2 is 8 2/4 and that's equivalent to 8 1/2

Answer:

The answer is 2 Batches

Step-by-step explanation:

The answer is 2 because 4 1/4 multiplied by 2 is 8 2/4 or in a simplified version 8 1/2.

Answer:

A. SAS

Step-by-step explanation:

[tex] In\:\triangle ABM \:\&\:\triangle CBM\\

\overline{AB} \cong \overline{CB}.... (given) \\

\angle ABM \cong \angle CBM....(given) \\

\overline{BM} \cong \overline{BM}.... (common) \\

\therefore \triangle ABM \:\cong\:\triangle CBM..... (SAS\: Postulate) [/tex]