if lines m and n are parallel, and < 8 measures 110°, which is the measure of < 7?

a. 40°

b. 70°

c. 90°

d. 110°

26/24=x/16

26*2/3=52/3

it would take five days for them to complete their job if you want an explanation just ask

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

Let's calculate the total work hours required to complete the kitchen remodel and then determine how many days it will take for the 4 people working 6 hours a day to finish the job.

The estimated total work hours for one person to complete the remodel is 120 hours.

Total work hours required = 120 hours

Now, we have 4 people working on the job, and each person works 6 hours a day.

Total work hours per day with 4 people = 4 people * 6 hours/person = 24 hours

To find the number of days it will take to complete the job, we divide the total work hours required by the total work hours per day with 4 people:

Number of days = Total work hours required / Total work hours per day with 4 people

Number of days = 120 hours / 24 hours/day

Number of days = 5 days

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

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Answer:

z = 123.9

Step-by-step explanation:

We can use trigonometric functions, because we have a right triangle.  We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.

tan 20 = opposite/ adjacent

tan 20 = 45.1/z

Multiply each side by z

z* tan 20 = 45.1 /z * z

z * tan 20 =45.1

Divide each side by tan 20

z = 45.1 / tan 20

z=123.9112316

To one decimal place,

z = 123.9

When 18 is divided by 4, the quotient is 4 and the remainder is 2.

The division of 18 by 4, can be performed using long division or mental math. First, understand that 'dividend' is the number being divided (18), 'divisor' is what you divide by (4), 'quotient' is the result of the division and 'remainder' is what is left over.

Step 1: Divide 18 by 4. 4 fits into 18 four times (4 x 4 = 16).

Step 2: Subtract the 16 from 18 to find the remainder. 18 - 16 equals 2.

So, the quotient of 18 divided by 4 is 4 and the remainder is 2.

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Answer:3

Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3

Answer:

The area of cross-section is [tex]30inch^2[/tex]

Step-by-step explanation:

we are given that

a cone is cut by a plane that passes through its vertex and it’s vertex and is perpendicular to its base

So, cross -section will be right angled triangle

whose base will be along diameter of cone

so, base of triangle = diameter of cone =6 inch

base =6 inch

Height of triangle will be same as height of cone

so, height of triangle =10inch

now, we can find area

[tex]Area=\frac{1}{2}\times 6\times 10[/tex]

[tex]Area=30inch^2[/tex]

The area of the cross-section formed by the intersection is 9π square inches.

When a cone is cut by a plane passing through its vertex and perpendicular to its base, the resulting intersection is a triangle similar to the base of the cone.

Such that;

Using the properties of similar triangles, the triangle formed by the intersection is similar to the base of the cone.

The area of the cross-section formed by the intersection is the area of a circle with radius 3 inches:

Area = πr²

Area = π × 3²

Area = π × 9

Area = 9π square inches

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Answer:

Hope this helps! If you have any questions feel free to ask.

Step-by-step explanation:

To find the total number of students in the class, you can use the given information of the percentage and the number of students who like to play volleyball.

To find the total number of students in the class, we can use the information given. It is stated that 30% of the students in the class like to play volleyball, and there are 12 students who like to play volleyball. Let's assume the total number of students in the class is x.

So, we can set up the equation 0.30x = 12 to represent the percentage of students who like to play volleyball. Solving this equation, we get x = 12 / 0.30 = 40. Therefore, there are 40 students in the class.

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The given equation is a function. After simplifying, it takes the form y = 3/5x, a simple linear equation. Understanding the behavior of even and odd functions is useful in comprehending this.

The given expression, 3x + 2x = 3, needs to be first simplified before determining whether it is a function or not. The simplified expression is 5x = 3, which can be rearranged to the function form y = 3/5x. This is a simple linear equation, indicating a function. In general, an even function times an even function produces an even function, but an odd function times an even function gives an odd function. You can see this in the equations mentioned: x² e-x², x sin x, and xe-x².

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Answer:

The length of CX is 22 ft.

Step-by-step explanation:

Given information: In triangle ABC, F, G, and H are the midpoints of sides BC, CA, and AB respectively.

The medians FA, BG and CH intersect each other at point X.

According to the property of triangle, the intersection point of medians is called centroid and the centroid divides each median in 2:1.

Since X is centroid, therefore points X divides the median CH in 2:1, therefore we can say that CX:XH is 2:1.

It is given that the length of CX is 33.

[tex]CX=\frac{2}{3}CH[/tex]

[tex]CX=\frac{2}{3}\times 33[/tex]

[tex]CX=2\times 11[/tex]

[tex]CX=22[/tex]

Therefore the length of CX is 22 ft.

Answer:

22 ft

Step-by-step explanation:

33-1/3(33)=22

Answer:

D.) 6

Step-by-step explanation:

A parallelogram needs supplementary consecutive sides. To make 150 supplementary, it needs to add 30 to make 180 degerees.

5 * 6 = 30.

Therefore, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

What is the parallelogram?

A parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

A parallelogram needs supplementary consecutive sides.

So, to make the supplementary angle i.e., [tex]150[/tex] degree .It requires to add [tex]30[/tex] to make [tex]180[/tex] degree.

[tex]x=6\\5(6)=30[/tex]

Hence, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

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Answer: The value of x = 16 units, y = 4.5 units and z = 7.5 units.

Step-by-step explanation:

Since we have given that

ABCD and EFGH are two similar polygons.

Dimensions of ABCD are as follows :

AB = 6 units

BC = 8 units

AD = x units

CD = 10 units

Dimensions of EFGH are as follows :

EF = y

FG = 6 units

EH = 12 units

GH = z

Since they are similar:

[tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{CD}{GH}=\dfrac{AD}{EH}\\\\\dfrac{6}{y}=\dfrac{8}{6}=\dfrac{10}z}=\dfrac{x}{12}[/tex]

First we take,

[tex]\dfrac{6}{y}=\dfrac{8}{6}\\\\y=\dfrac{36}{8}\\\\y=4.5\ units[/tex]

similarly,

[tex]\dfrac{8}{6}=\dfrac{10}{z}\\\\z=\dfrac{60}{8}\\\\z=7.5\ units[/tex]

similarly,

[tex]\dfrac{8}{6}=\dfrac{x}{12}\\\\x=\dfrac{96}{6}\\\\x=16\ units[/tex]

Hence, the value of x = 16 units, y = 4.5 units and z = 7.5 units.

Answer:

its not 7.5!!! i just took the test and its wrong!!

Answer: n≥10

Step-by-step explanation:

The symbol ≥ means “greater than or equal to.” So, n≥10 means “n is greater than or equal to 10,” which basically means “n is at least 10”.

Answer:

n≥10

iready

holp it help

Final answer:

The painter can completely paint 11 apartments with 45 gallons of paint and will have 1 gallon of paint left over.

Explanation:

A painter uses 4 gallons of paint for each apartment. With 45 gallons of paint, you would first divide the total gallons of paint by the gallons needed per apartment to determine how many apartments can be painted completely. Since 45 gallons ÷ 4 gallons per apartment equals 11.25, the painter can only completely paint 11 apartments, because you can't partially paint an apartment. The fractional part, .25, represents the leftover paint. To find out how much paint is remaining, you would then multiply the fractional part by the amount of paint used for one apartment, which is 4 gallons. So, 0.25 × 4 gallons equals 1 gallon. Therefore, the painter will have 1 gallon of paint left over after painting 11 apartments.

The Difference between expressions '8 less than q' and 'ans' is q - ans - 8.

The phrase '8 less than q' can be expressed as q - 8.

To find the difference between q - 8 and the answer 'ans', you subtract the two expressions: (q - 8) - ans.

This simplifies to q - 8 - ans, or q - ans - 8.

For example, if q = 15 and ans = 5, the difference would be 15 - 5 - 8, which equals 2.

So the difference between '8 less than q' and 'ans' is q - ans - 8.

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The probable question may be:

What is the difference between 8 less than q?

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

To find LCM of 20 and 30

LCM (20, 30) = 60

To find the efficiency

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

2x +  y = -9.

y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let, consider the equation of y = mx+c,

where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.

standard form of linear equation is :

y = mx+c  

comparing it with given equation :

y= -2x-9.

m = -2, c = -9

Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

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Answer:

It costs Rod $5.37 per day to smoke.

Step-by-step explanation:

If a carton costs 35.80 and there are 10 packs per carton

$35.80 /10 = 3.58 per pack

Rod smokes 1.5 packs per day

1.5 * 3.58 = $5.37

It costs Rod $5.37 per day to smoke.

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal.  To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8%  = .008

24 = .008 *n

Divide  each side by .008

24/.008 = .008n/.008

3000 = n

Answer:

x=1, y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

To solve by elimination, we pick a variable to eliminate, or get rid of.  I will multiply the first equation by -2 so we can get rid of x

-2( 5x+y)=9 *-2

-10x -2y = -18

Now we add this equation to the second equation

-10x -2y = -18

10x-7y=-18

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

-9y = -36

Divide each side by -9

-9y/-9 = -36/-9

y =4

We still need to solve for x

5x+y=9

Put in y=4

5x+4 = 9

Subtract 4 from each side

5x +4-4 = 9-4

5x = 5

Divide each side by 5

5x/5 = 5/5

x=1

Answer:

1,4

Step-by-step explanation:

add the equations in order to solve 1st variable, put the value in the other equations in order to solve- math  way

Answer:

C. Hundredths

Step-by-step explanation:

.  tenths   hundredths  thousandths  ten thousandths

. 6               7                       5                   0

Answer:

B) 57.4+x=67

Step-by-step explanation:

We take the amount in the piggy bank.  Then we take the amount spent and add it to the amount she has left.  These two amounts should be equal

piggy bank = spent + left

67 = x + 57.40

Hello,

When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π

- I . A -

In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.

In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.

Answer:  D) Number of yards Jerry cuts; 0 ≤ x ≤ 10  

Step-by-step explanation:

Here the given function that describes the total profit,

y = 15 x - 10

Where x represents the number of lawns Jerry cut in a week.

But, Depending homework and chores, he has time to cut at most 10 lawns a week.

Thus, x ≤ 10

Also, the number of lawns can not be negative.

Therefore, x ≥ 0

And, the value of x will decide the domain of the function y,

Thus, the domain of the given function is,

0 ≤ x ≤ 10

⇒ Option D is correct.

Answer:

d

Step-by-step explanation:

Answer:

A’/A = 2.25

Step-by-step explanation:

Let the length and width of ABCD be l and w respectively.

A = lw

=====

For rectangle A’B’C’D’  

l’ = 1.5l and w’ = 1.5w

A’ = l’w’

A’ = 1.5l × 1.5 w

A’ = 2.25 lw

=====

A’/A = 2.25lw/(lw)     Cancel lw

A’/A = 2.25

The area of the dilated rectangle is 2.25 times that of the original.

Answer:

The answer is "D"

Step-by-step explanation:

Answer:

sin(19pi/6)=-1/2

Step-by-step explanation:

Answer:

Commutative property

Step-by-step explanation:

Hope that helps!

To graph the inequality c ≤ 3, you draw a solid line at 3 on the number line and shade to the left. For c < 3, you draw a dotted line at 3 on the number line and shade to the left, without including 3.

To graph the inequality c ≤ 3, you will draw a line at the value of 3 on the number line and shade the region to the left of the line. This includes the value 3 as well. This is because the inequality includes the symbol ≤, which means 'less than or equal to'.

On the other hand, to graph the inequality c < 3, you will draw a dotted line at the value of 3 on the number line and shade the region to the left of the line. However, this time the value 3 is not included in the solution because the inequality uses the symbol <, which means 'less than'.

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