What is the measure of ∠ D?


101°


112°


122°


111°

Answer:

a = 110

c = 30+10

b = 30

Step-by-step explanation:

Answer:

500?

Step-by-step explaination

Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??

500 gigs.

Just add 200 + 300.

(I hope this question isn’t serious..)

Answer:

(x + 7)² + (y + 3)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 7, - 3) and r = 2, so

(x - (- 7))² + (y - (- 3))² = 2², that is

(x + 7)² + (y + 3)² = 4

Answer:

B. He would still need 51.50

Step-by-step explanation:

First I added up all the deposits Emilio made

so: 621.96+83.11+52.89+307.84=1065.8

then i subtract 129 from the total (1065.8)

which equals 936.8 and I add the 11.5 interest.

which equals 948.3 which is 51.70 less than 1000. Therefore, Emilio still need 51.70 in order to meet his saving accounts goal.

Answer:

m= -8-n/3-k

Step-by-step explanation:

Answer:

2 in.

Step-by-step explanation:

If we cut squares from all 4 corners and make it into a open rectangular box, the length of the square cut will become the height of the rectangular prism.

If we cut 1 inch side square:

The 11 inch side will become 11 - 2(1) = 9 and 14 inch side will become 14 - 2(1) = 12. Height is 1. So Volume would be 9 * 12 * 1 = 108

If we cut 2 inch side square:

The 11 inch side will become 11 - 2(2) = 7 and 14 inch side will become 14 - 2(2) = 10. Height is 2. So Volume would be 7 * 10 * 2 = 140

If we cut 3 inch side square:

The 11 inch side will become 11 - 2(3) = 5 and 14 inch side will become 14 - 2(3) = 8. Height is 3. So Volume would be 5 * 8 * 3 = 120

If we cut 4 inch side square:

The 11 inch side will become 11 - 2(4) = 3 and 14 inch side will become 14 - 2(4) = 6. Height is 4. So Volume would be 3 * 6 * 4 = 72

Hence, the greatest volume is when we cut 2 inch side square.

The answer is 2in hope this helps

The coat costs $194 while the suit costs $97

To find out how much the coat costs when a suit and a coat together cost $291 and the coat costs twice as much as the suit, we use algebra to deduce that the suit costs $97 and the coat costs $194.

To solve the problem of determining how much the coat costs when the total cost of a coat and a suit is $291, and the coat costs twice as much as the suit, we can set up a system of equations. Let's define s as the cost of the suit and c as the cost of the coat. Following the given information, we have two equations:

Substituting the second equation into the first one gives us:

s + 2s = $291

Combining like terms, we get:

3s = $291

Dividing both sides by 3 to solve for s, we find:

s = $97

Now that we have the cost of the suit, we can use the second equation to find the cost of the coat:

c = 2s = 2 times $97 = $194

Therefore, the coat costs $194.

Answer: D; Yes; no vertical line passes through two graphed points.

Step-by-step explanation:

A graph is only considered a function if it passes the vertical line test. The vertical line test is basically when you put a vertical line on any point in the graph, it can’t pass through more than one graphed point. It can only touch the line once. That graph is considered a function because no two points touch a vertical line in the same x-value.

Answer:

Option D.

Step-by-step explanation:

A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.

Vertical line test : According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.

From the given table it clear that the ordered pairs of relation are(-5,-5), (-3,-3), (1,1) and (2,2).

For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.

Therefore, the correct option is D.

Answer:

13

Step-by-step explanation:

Assuming g(x)=4x+1, then g(3) is 4(3)+1=12+1=13. So g(3)=13.

Answer:

5 * (n+3) = 4

n = -11/5

Step-by-step explanation:

5 * (n+3) = 4

Distribute

5n +15 =4

Subtract 15 from each side

5n +15-15 = 4-15

5n = -11

Divide by5

5n/5 = -11/5

n = -11/5

Answer:

well she can count up the average amount of tables, and the average amount of students in the school, later determine how many kids sit at the tables, for example, if there's five tables, and in each table there are five students, round those up and you have 25 students, only Amanda's answer would be much higher depending on the school and cafeteria

Answer:

Step-by-step explanation:

First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.

Second, we'll find the median Q2 - (58+58) / 2 = 58

Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5

Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5

ANSWER

The point (1,2) is not a solution

EXPLANATION

We could see that, the point (1,2) lies exactly on the boundary line.

Since the boundary line is dashed, the points on the boundary line are not solution.

Alternatively:

We deduce the inequality from the graph to be;

[tex]y < 3x - 1[/tex]

If the point (1,2) is a solution,then it must satisfy the inequality.

[tex]2 \: < \: 3(1) - 1[/tex]

[tex]2 \: < \: 2[/tex]

This statement is false.

Hence, the point (1,2) is not a solution.

Answer:

a) -2

b) 1/2

Step-by-step explanation:

2x + y = 15           Subtract 2x from both sides

y = -2x + 15           The slope is -2

Parallel lines have the same slope.

Perpendicular lines have negative inverse slopes.

-2    flips to 1/2

Answer:

2600 yd cubed

Step-by-step explanation:

13 times 20 is 260

260 times 10 is 2600

Answer:

y=14

Step-by-step explanation:

y=2(10)-6

y=14

Answer:

See below

Step-by-step explanation:

Eleven

Remark

When you join the midpoints of two sides of a triangle, two properties are true.

For this question, the first property is not as important as the second.

it means that DE is 1/2 the size of GJ

Equation

4x + 5 = 1/2 * (3x + 25)

Solution

Multiply both sides by 2

2(4x + 5) = 2*[1/2*(3x + 25)       Simplify

2(4x + 5) = 3x + 25                   Remove the brackets on the left

8x + 10 = 3x + 25                      Subtract 3x from both sides

8x-3x + 10 = 25                         Subtract 10 from both sides.

5x = 25 - 10

5x = 15

x = 3 Answer

DE = 4*3 + 5

DE = 17 Answer  

Ten

I wasn't quite sure if you wanted this done.

Givens

MP is the perpendicular bisector of NL

That makes the triangle isosceles.

ML = MN

PL = PN                    

Solution

ML = MN

7x + 9 = 11x -7                Subtract 11x from both sides.

7x - 11x + 9 = 11x-11x-7

-4x + 9 = - 7                   Subtract 9 from both sides.

-4x + 9-9 = -7-9             Combine

-4x = - 16                        Divide by - 4

-4x/-4 = - 16/-4

x = 4

==============

PL = PN

2y + 2 = 16                     Subtract 2

2y + 2-2 = 16-2              Combine

2y = 14                           Divide by 2

2y/2 = 14/2                    Combine

y = 7

17. 144+x2=484

X2=Earp

16.

tan(angle) = Opposite leg / adjacent leg

tan(36) = 12 / x

x = 12 / tan(36)

x = 16.5166

Round answer as needed.

17.

sin(angle) = Opposite leg / Hypotenuse

sin(x) = 12/22

x = arcsin(12/22)

x = 33.056 degrees.

Round answer as needed.

You do not say how the answers need to be rounded, so please round them as needed.

Answer:

Mean : ≈ 12.7

Median: ≈ 13.5

Step-by-step explanation:

To find the mean you must add all the numbers and divide by the # of numbers in the set.

8+12+13+14+14+15 = 76

76/6 ≈ 12.7

To find the median you have to order the numbers from least to greatest, the middle number should be the median, but in this case two numbers are in the middle.

8, 12, 13, 14, 14, 15

So you have to add 14 and 13, which is 27.

Then divide by 2 which is ≈ 13.5

Answer:

[tex]\boxed{-2; 6}[/tex]

Step-by-step explanation:

Think of this as an ordinary addition problem.

What must you add to 3a³ to get 1a³?   Answer: add -2a³

3 + (-2) = 1

What must you add to -5b³ to get 1b³? Answer: add 6b³

-5  + 6 = 1

Then, the addition looks like this:

[tex]\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}[/tex]

The numbers in the boxes are -2 and 6.

Answer:

a=1

an= an-1 -7

Step-by-step explanation:

A= 1 the answer is A=1

Answer:

Word Form:

two and four hundred five thousandths

_____________________________________

Expanded Form:

2  

+   0.4

+   0.00

+   0.005

Step-by-step explanation:

Answer:

2 and 4 hundredths

its right on god

Well you haven’t gave me any examples so I will just list some:

Answer:

8/15 square inches

Step-by-step explanation:

Just multiply the 2 fractions to get the area.

A=L*W

A=area

L=length

W=width

He does not have enough money in his checking account

Answer:

B

Step-by-step explanation:

Answer:

The solution set is {-1, 7}

Step-by-step explanation:

Rewrite x^2-6x=7 as x^2 - 6x                            = 7.

Identify the coefficient of the x term; it is -6.

Halve this coeff (obtaining -3)

Square this result (obtaining 9)

Add 9 to  x^2 - 6x   and then subtract 9 from the result:  x^2 - 6x  + 9 - 9

Then we have:

x^2 - 6x  + 9 - 9 = 7.  Add 9 to both sides, obtaining

x^2 - 6x  + 9       = 16

Rewrite x^2 - 6x  + 9 as the square of a binomial:  (x - 3)^2

Then we have

(x - 3)^2 = 16

Taking the square root of both sides, we get

x - 3 = ±4, so that:  x = 3 + 4 = 7, and x = 3 - 4 = -1.

The solution set is {-1, 7}.

Answer:

To complete the square x^2-6x=7

We take the coefficient of X which is -6

     divide it by 2  -3

     square that number 9

     then add it to both sides of the equation.

x^2 -6x + 9 = 16

(x -3) * (x -3) = 16

We take the square root of both sides:

a) x-3 = 4

b) x-3 = -4

Therefore, x = 7 and x = -1

Step-by-step explanation:

Answer:

The correct answer is option C.  6

Step-by-step explanation:

It is given that,  LMN congruent to triangle NOL by SSS

From the figure we can write, MN = LO

To find the value of x

we have, MN = LO

13x + 1 = 5x + 49

13x - 5x = 49 - 1

8x = 48

x = 48/8 = 6

Therefore x = 6

The correct answer is option C.  6

36x^2-25

use the formula a^2-b^2=(a+b)(a-b)

a=6x b=5

therefore the answer is (6x+5)(6x-5)

im ppretty sure thats correct. Im not a genius though.

Answer:

294 m² is correct

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the height and a, b the parallel bases

here h = 21, a = 21 and b = 7, thus

A = [tex]\frac{1}{2}[/tex] × 21 × 28 = 294 m²

Answer:

[tex]\large\boxed{y=-2x+14}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).[/tex]

[tex]\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:[/tex]

[tex]6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14[/tex]

Answer:

B) y = -2x + 14

Step-by-step explanation:

Solution: y = -2x + 14. To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other, we know that the slope is -2. Then plug your slope (-2) and point (4,6) into the equation y = mx + b to solve for b. The resulting value for b is 14.