10.) I am a number between 50 and 100. My ones digit is two less than my tens digit. I am a prime
number. What number am I?

The length of an inscribed angle is half the length of the central angle. The circumscribed angle's measure is 180 degrees less the central angle's measure.

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It is also the angle formed by two given points on a circle at a given point on the circle.

The length of an inscribed angle is half the length of the central angle. The circumscribed angle's measure is 180 degrees less the central angle's measure.

m ∠ABC =  m ∠ABD +  m ∠DBC  (∠ Addition Postulate)

m ∠ABD = 1/2 m(arc AD)    

m ∠DBC = 1/2 m(arc DC)  

(The measure of an inscribed ∠ whose side is diameter is half the measure of the intercepted arc (Case 1)).

m ∠ABC = 1/2 m(arc AD) + 1/2 m(arc DC) (Substitution)

m ∠ABC = 1/2 [m(arc AD) + m(arc DC)] (Factor)

m(arc AD) + m(arc DC) = m(arc AC) (Arc Addition Postulate)

m ∠ABC = 1/2 m(arc AC) (Substitution)

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For the given systems of equations, we have that:

17. The solution is: x = 3, y = 4.

18. The company can afford to promote 2 engineers to level II.

19. The substitution method was used, as writing x as a function of y in the given equation was quite straight forward, as was replacing into the second equation to find y.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item 17, the system is:

Adding the equations, we can eliminate y and solve for x, hence:

7x = 21

x = 3.

Then the solution for y is given as follows:

3x + 2y = 17

3(3) + 2y = 17

2y = 8

y = 4.

For item 18, the variables are given as follows:

The company has 8 engineers, hence:

x + y = 8 -> x = 8 - y.

The company can afford to pay a total of $472,000 to the engineers, hence, considering the salaries(in thousands of dollars) of each:

56x + 68y = 472.

We want to solve for y, hence, since x = 8 - y:

56x + 68y = 472.

56(8 - y) + 68y = 472.

12y = 24.

y = 2.

The company can afford to promote 2 engineers to level II.

The substitution method was used, as writing x as a function of y in the given equation was quite straight forward, as was replacing into the second equation to find y.

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Answer:

This is my other account. I just needed 1+ answers togive brainliest for the other person. dont mind this

Step-by-step explanation:

Answer:

17 1/

Step-by-step explanation:

first you have to find a common denominator, so you multiply 1/8 by 3 and get 3/24. then you add the two numbers getting 17 8/24 but you have to simplify it so it's 17 1/

The line created by 1st and 2nd is making the same angle with 3rd so all three will be colinear and 3rd is the midpoint of 1st and 2nd.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the condition making a graph as shown below,

Now in ΔAOC and ΔBOC, the angle x is the same.

Distance AO = BO and CO is common side.

So both triangles will be congruent.

Since all corresponding side of two congruent triangles is the same.

So,

AC = BC hence C will be the midpoint of A and B.

Hence "The line created by 1st and 2nd is making the same angle with 3rd so all three will be colinear and 3rd is the midpoint of 1st and 2nd".

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Answer:

im think the answer is the first?

Answer: B. {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}

Step-by-step explanation:

I got it right on the test

Based on the price of each item in the store and the total cash in the register at the end of the day, the number of items sold for the day was 750 items.

The cash that the Just a Dollar store made for the day was:

= 935 - 125

= $810

The cost of the items sold, less the sales tax was:

= 810 / (1 + 8%)

= $750

If each item costs $1, then the number of items sold was:

= 750 / 1 per item

= 750 items

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Using greatest common factor (GCF), Josh can make 6 identical get-well-soon kits.

The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.

If Josh has to distribute 12 cans of chicken soup and 18 boxes of tissue to make identical get-well-soon kits with no material left over, solve the amount of kits he could make by solving the GCF of 12 and 18.

List down the factors of each number.

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

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

Common factors : 1, 2, 3, 6

Greatest Common Factor : 6

Hence, without any left over material, Josh can make 6 identical kits.

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Answer:

Step-by-step explanation:

15L

15000 divided by 1000

Answer:

15 liters

Step-by-step explanation:

1000=1

15000=x..... (cross multiply)

15000=1000x...... (divide both sides by 1000)

=15

Answer:

E

Step-by-step explanation:

[tex]\lim_{x \to 0} f(1-x^2)=\lim_{x \to 1} f(x)[/tex]

which does not exist.

Answer:

K=45×0.7333

K=32.9985

You will wait for 11 minutes

Find the number of minutes between 5:00am and 8:37am

60 mins in an hour.

8-5=3 hours

60x3=180+37=217 minutes

Divide 217 by 12 to see how many bus stops have already been made

217/12=18

18*12=216

217-216=1 minute

12-1=11 minutes

Therefore you will have to wait 11 minutes.

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Answer:

4 : 7 : 10

Step-by-step explanation:

as 12, 21, 30 are all divisible by 3

hope this helps

Answer:

x = 10

One angle is 13 and the other angle is 13

Step-by-step explanation:

Vertical angles have the same measurement, so set the angles equal to each other and solve for x.

2x - 7 = x + 3  Subtract x from both sides of the equation

x - 7 = 3  Add 7 to both sides of the equation

x = 10  Now use this to solve for both angles

2(10) - 7 =

20 - 7 =

13

x + 3

10 + 3 =

13

Answer:

Step-by-step explanation:

the horizontal line is x and 8=x so the point has to be where 8 is in the horizontal line. Then y is 3 so the point is gonna be in the vertical line then you connect those two-points and you have your line.

No, the given sequence is not geometric.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 1, 5, 9, 13, ....

Here, we can see that: [tex]\frac{5}{1}\neq \frac{9}{5}\neq \frac{13}{9}[/tex] and so on.

Hence, it is not a geometric sequence, since it does not follow the definition of a geometric progression, that the ratio of each adjacent term to the previous term should be equal.

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Answer:

2m - 59 = Matt's savings

Answer: ∠L = 102°

               ∠N = 78°

Step-by-step explanation:

Quadrilaterals can be classified into Parallelograms, Squares, Rectangles, and Rhombuses. Square, Rectangle, and Rhombus are also Parallelograms.

A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. AB ∥ DC and AD ∥ BC. So, ABCD is a parallelogram. A parallelogram having all sides equal, is called a rhombus.

Given data,

In □KLMN, side LM ∥ side KN, side KL ≅ side NM If ∠K = 78°

then find the measure of ∠L, and ∠N                          

                           side LM∥ side KN

Interior angles on the same side of the transversal are supplementary.

                    ∠K + ∠L = 180°

                    78° + ∠L = 180°

                     ∠L = 180° -  78°

                      ∠L = 102°

Construction:

Draw LP ∥ MN

So, LM ∥ KN and LP ∥ MN

PLMN is a parallelogram

                   MN ≅ LP

Now MN  = LP and MN = KL

                     LP = KL

              ∠LKP = ∠LPK = 78°

LP ∥ MN so,

           ∠MNP =  ∠LPK = 78° (corresponding angles are equal)

                               ∠L = 102°

                               ∠N = 78°

Therefore,

                             ∠L = 102°

                               ∠N = 78°.

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Answer:

hi

Step-by-step explanation:

The correct option regarding when the two cars will have the same distance from Seattle is:

The cars will never be the same distance from Seattle.

The distances for each car are given according to the following function:

They will have the same distance when:

A(t) = B(t).

Hence:

A(t) = B(t)

60t = 50(t - 2)

60t = 50t - 100

10t = -100.

t = -10.

Time cannot assume negative values, hence the cars will never be the same distance from Seattle.

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12 hours

Step-by-step explanation:

The simplification by combining like terms of 5v-3(2 -v)  is 8v - 6.

According to the given question.

We have an expression5v - 3(2 - v).

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression

5v - 3(2 - v).

Here 5v, and 3v both are the like terms.

So, we add coeffcients of v to simplify the given expression.

Therefore, the simplification of 5v -3 (2 -v ) is given by

5v - 3(2 - v)

= 5v - 6  + 3v

= 8v - 6

Hence, the simplification by combining like terms of 5v - 3(2 - v) is 8v - 6.

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The equation of the circle (x + 6)^2 + y^2 = 121 has a radius of 11 and a center located at (-6 , 0).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 6)^2 + y^2 = 121, is in standard form, then

h = -6

k = 0

r = 11

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The last class will always have a cumulative frequency equal to the sum total of all observations in a cumulative frequency distribution.

The cumulative frequency can be used to find the exact number of observations that lie before or after a certain value in the data. The cumulative frequency is calculated from the frequency distribution table, which is constructed directly from the data.

The cumulative frequency is calculated by adding every data' s frequency from the frequency distribution table to the sum of its preceding values.

Thus, the last value will always be equal to the total of all observations, as all frequencies have already been added to the previous total.

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Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C may be a right angled triangle since it's the angle opposite to the hypotenuse c and so, ΔABC could be a trilateral.

According to the statement

We have to prove that the ABC is a right triangle.

So, For this purpose, we know that the

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.

From the given information:

Andrea should show that c = 2, so: ∡ABC = ∡RTS and ∡C = ∡S. Hence, ∡C could be a right angled triangle, hence ΔABC could be a trilateral.

And

In this question, we are told that the given sides of the Triangle are a, b and c. Now, Andrea is in a position to draw the 2 sides of the correct triangle with sides = a and b and therefore the third, hypotenuse capable 2. Since the length of the hypotenuse = 2, then we have;

2² = a² + b²

However, we are told that c² = a² + b²

Therefore, c = 2

Hence, Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C may be a right angled triangle since it's the angle opposite to the hypotenuse c and so, ΔABC could be a trilateral.

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(-∞,-4) U (2, ∞)

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

Work Shown:

|x+1| + 2 > 5

|x+1| > 5 - 2

|x+1| > 3

x+1 > 3 or x+1 < -3

x > 3-1 or x < -3-1

x > 2 or x < -4

x < -4 or x > 2

The portion x < -4 translates to the interval notation of (-∞,-4)

It might be helpful to think of x < -4 as -∞ < x < -4

The x > 2 is the same as 2 < x and the same as 2 < x < ∞. This turns into the interval notation of (2, ∞)

Therefore, we end up with the solution set of (-∞,-4) U (2, ∞)

The U symbol is the union operator to glue together the two intervals.

Answer:120 yards

Step-by-step explanation:

10/5=2 2*60= 120 yards

33 YARDS is the total length of fabric that Rebecca needs.

What exactly do you mean by YARDS?

a small, frequently walled, paved, and open to the sky area next to a structure: court; b: a building's or collection of buildings' grounds. a house's immediate surroundings, which are often grassy grounds.

A man's belt or girdle, as it was known, was originally one yard long. King Henry I of England established the yard as the distance between his nose and the thumb of his extended arm in the 12th century. It is 36 inches right now.

We must determine the length of fabric Rebecca needs to finish her quilt based on the provided facts.

The total length of fabric required is 10 yards

One piece of fabric is  long. 2yards

Another piece of fabric is  long 41

Let  be the missing length. x

2+41+x=10

x=-33

the length of fabric that Rebecca need is 33.

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