How do you graph y=−x−2.

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

Regarding the given diagram, the following claims are always true:

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.

m∠2 + m∠3 + m∠5 = 180°

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

17x-7y

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

1% of 500 is 5

5*4(amount of years) = £20

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The area of a rectangular field is 400 meters Less than that of a square field.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The dimensions of the rectangular field is 70 by 30 meters

The area of the rectangle = length × Width

= 70 x 30

= 2100 m sq.

The perimeter of the rectangle = 2( L + B)

= 2( 70 + 30)

= 200 m

It is given that a square field has the same perimeter.

The perimeter of the square = 4( side)

200 = 4 x side

side = 200/ 4

side = 50 m

Therefore, the area of the square = side x side

= 50 x 50

= 2500 m sq.

The difference between both the areas are;

= 2500 - 2100

= 400

Hence, the area of a rectangular field is 400 meters Less than that of a square field.

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The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

4

Step-by-step explanation:

Answer:

the answer is 4 geng geng geng geng

psdt: thanks for the points

Step-by-step explanation:

have a good night ^-^

Answer:

P-value = 0.0046  

Step-by-step explanation:

Given that:

Sample size n = 290

sample mean \(\overline{x_1}\) = 4.1

standard deviation \(\sigma\) = 0.6

population mean \(\mu\) = 4.2

The null and the alternative hypothesis

\(\mathbf{H_o: \mu = 4.2} \\ \\ \mathbf{H_a: \mu \ne 4.2}\)

This is a two-tailed test.

The test statistics can be computed as:

\(Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z = \dfrac{4.1 - 4.2 }{\dfrac{0.6}{\sqrt{290}}}\)

\(Z = \dfrac{-0.1 }{\dfrac{0.6}{\sqrt{290}}}\)

Z = -2.838

P-value = P(Z> 2.838)

P-value = P(Z< -2.838) +P(Z > 2.838)

P-value = 0.00227 + (1 - 0.9977)

P-value = 0.00457

P-value = 0.0046      (to 4 decimal places)

Answer:

Equation is P=4s

Step-by-step explanation:

There is a pattern here:

8 is 4 times as much as 2

12 is 4 times as much as 3

20 is 4 times as much as 5

40 is 4 times as much as 10

Since P varies directly with s, we can make an equation: P=4s where k=4 in the form of y=kx

Step-by-step explanation:

-6 (3 - 8r) = 18

-18+48r = 18

48r = 18 + 18

48r = 36

r = 36/48

r = ¾

Add 75 dollars by 15 percent.

$75+

15%

___

86.25

That's the amount all together.

The tip amount is 11.25

Subtract 86.25 by 75

86-

75

____

11.25

If this helped please mark me as brainliest!

\(\left[\begin{array}{ccc}Thanks,\\JustSomeIdiot\end{array}\right]\)

Answer:

\(\huge\boxed{\sf Total\ Bill = \$\ 86.25}\)

Step-by-step explanation:

The bill = $ 75

Tip = 15 % of $75

Let's first find out the tip:

=> 15 % of 75  [Remember % = 1/100 and "of" means "to multiply"]

=> \(\sf \frac{15}{100} * 75\)

=> 0.15 * 75

=> $ 11.25

Now, the total bill:

Total bill = Bill + Tip

Total Bill = $75 + $11.25

Total Bill = $86.25

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

Answer:

Step by step explanation

First, we have to convert 3 1/2 into a decimal, so we have to do the following:

1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)

Then we add the whole number.

3 + 0.5 = 3.5

Next, we multiply

3.5 x 16 = 56 ounces.

Answer:

3 pounds and 8 ounces

Step-by-step explanation:

1 pound (lbs) = 16 ounces (oz)

Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)

So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?

Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz

Half of 16 (or 16 ÷ 2) equals 8

Therefore, half a pound equals 8 ounces

Combining the two units together means the boxes weigh 3 pounds and 8 ounces

Bob would take 5 hours to mow the law by himself.

Let us consider, the area of the lawn to be mowed to be x inch².

It is given that the law can be mowed by Abe alone in 3 hours.

We know that,

Rate of work = Work/Time

⇒ rate of work of Abe = area to be mowed(work)/time taken

                                     = (x/3) inch²/hour

Now,

Abe has been working alone for 1/3 hour

⇒work done by Abe alone = rate of work of Abe x time

                                             = (x/3) inch²/hour x 1/3 hour

                                             = x/9 inch²

Remaining work = x - x/9 = 8x/9 inch²

Let, the rate of work of Bob be y inch²/hour.

It is given that the time taken by Abe and Bob to complete the remaining work together is  1 and 2/3 hours, i.e, 5/3 hours.

Therefore,

The rate of work of Abe and Bob when working together

= work ÷ time

=(8x/9) ÷ (5/3)

=8x/15 inch²/hour

⇒ Rate of work of Abe + Rate of work of Bob = 8x/15

⇒ x/3 + y = 8x/15

⇒ y = (8x/15) - (x/3)

⇒ y = 3x/15 = x/5 inch²/hour

Thus, the time taken by Bob to mow the law by himself

= work ÷ rate of work

= x inch² ÷ (x/5) inch²/hour

= 5 hours

So, it would take 5 hours for Bob to mow the lawn alone.

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Answer:

6 minutes

Step-by-step explanation:

The ant can crawl 40 cm per minute but is pushed back 5 cm every minute aswell. In total the ant will crawl 35 cm per minute (40 - 5 = 35).

In order to find how long it will take for the ant to reach the hole we divide 210 by 35 (210/35) to get the answer of 6, therefore it takes the ant 6 minutes to reach the hole.

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

"7" Would be your answer.

Step-by-step explanation:

Answer:

$63.77

Step-by-step explanation:

100-32.16=67.84

67.84*0.94=63.77

Hope this helps!

Answer:

$63.76

Step-by-step explanation:

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer

I can't tell what you're asking but here is all the things

Step-by-step explanation:

Total Numbers: 10

Mean (Average): 7.9

SD:  4.38305

Variance (SD): 19.21111

Population SD: 4.15812

Variance(Population SD): 17.29

Answer:

x= -24

Step-by-step explanation:

-48/x= 2

-48= 2x

-48/2= x

-24= x

The expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A mathematical expression shows the value of something by combining numbers, variables, and operators. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.

From the information, Maria bought 5 tickets for $20 each. Each ticket had a $2 fee.

The expression that can be used to illustrate this will be:

C = (5 × $20) + ($2 × 5)

where C = Total cost

C = $100 + $10

C = $110

Therefore the expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

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Answer:

80 £

Step-by-step explanation:

1 £-----> 1.25 €

x £-----> 100 €

x=(1*100)÷1.25= 80 £

Answer:

Step-by-step explanation:

£1 can be exchanged for €1.25. How many pounds will I get if I exchange €100?

1 : 1.25 = x : 100

x = 1 * 100 : 1.25

x = 100 : 1.25

x = 80

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Answer:

D. none of the above

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.