Ms. Wong ordered a box of 50 shirts to sell in her clothing store. She quickly sold 30 of the shirts. Which equations can be used to find how many shirts, s , Ms. Wong has left to sell?

The property that could be used to determine that the triangles are congruent is the SSA congruent theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = QRP and XWY​

On the triangles, we can see that:

This means that we make use of the SSA congruent theorem

The SSA congruent theorem implies that  if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.

In this case, we have

Congruent sides: RQ and HG & PR and HF

Congruent angles: Angles Q and G

Hence, the additional information on the congruency of the triangles is the SSA theorem

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Given:

The fractions are:

[tex]\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}[/tex]

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is [tex]\dfrac{6}{5}[/tex].

[tex]\dfrac{6}{5}=\dfrac{5+1}{5}[/tex]

[tex]\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}[/tex]

[tex]\dfrac{6}{5}=1+\dfrac{1}{5}[/tex]

Therefore, the given fraction [tex]\dfrac{6}{5}[/tex] can be written as [tex]1+\dfrac{1}{5}[/tex].

The given fraction is [tex]\dfrac{11}{7}[/tex].

[tex]\dfrac{11}{7}=\dfrac{7+4}{7}[/tex]

[tex]\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}[/tex]

[tex]\dfrac{11}{7}=1+\dfrac{4}{7}[/tex]

Therefore, the given fraction [tex]\dfrac{11}{7}[/tex] can be written as [tex]1+\dfrac{4}{7}[/tex].

The given fraction is [tex]\dfrac{21}{4}[/tex].

[tex]\dfrac{21}{4}=\dfrac{20+1}{4}[/tex]

[tex]\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}[/tex]

[tex]\dfrac{21}{4}=5+\dfrac{1}{4}[/tex]

Therefore, the given fraction [tex]\dfrac{21}{4}[/tex] can be written as [tex]5+\dfrac{1}{4}[/tex].

Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

Answer: the answer is b?

hope this helps

the formula for volume of sphere is 4/3||r^3

diameter=2radius

in the formula we need to have radius but we have been given diameter so we convert diameter to radius

d=2r

r=d/2

9.5÷2

4.75

Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

Answer:

there are no brown socks

Step-by-step explanation:

there is zero possibility of pulling a brown sock from the drawer fro this to be possible there would have to be no brown socks

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

A linear equation o line can be expressed in the form y = mx + b

where

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

In this case, you know:

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Answer:

24 patterns

Step-by-step explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]

      = [tex]\frac{4 x 3 x 2!}{1!}[/tex]

     = 4 x 3 x 2

     = 24

4[tex]P_{3}[/tex] = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.

Answer:

0.135%

Step-by-step explanation:

Given :

Mean, m = 60

Standard deviation, σ = 5

x = 45

The Zscore = (x - m) / σ

Z = (45 - 60) / 5 = - 15 / 5 = - 3

P(Z < - 3) = 0.0013499

0.0013499 * 100%

= 0.13499%

Only about 0.135% scored below 45

Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

Answer:

the value of x that will make A||B is 4

Answer:

  See attached

Step-by-step explanation:

You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.

The functions have no common factors, so their ratio leaves the function expressions unchanged:

  [tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]

The like terms are combined when the functions are added.

  [tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]

Similarly, the like terms are combined when the functions are subtracted.

  [tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]

The product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.

  [tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]

The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.

given

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.

The values of the variables you are solving for will be provided by the coordinate of this point.

The equation system is appropriately described by the formula 4x - y=6.

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The MIRR statistic for the project I given the cost of capital and the reinvestment rate, is 7. 43 %.

A monetary indicator of an investment's allure is the modified internal rate of return or MIRR. Ranking equivalent alternative investments is done in capital budgeting.

You can use a spreadsheet to find the MIRR by first ordering the cash flows as shown in the attached image. Then use the = MIRR function.

The cost of capital is the finance charge which is 11 %. The reivestment rate will be the same as the finance charge if not given so it will be 11 % as well.

The MIRR is therefore 7 .43 %.

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Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

Answer:

50.24=4squared times pie

Step-by-step explanation:

Answer:

The area of a circle with a diameter of 0.8 meters is approximately 0.50 [tex]m^2[/tex].

Step-by-step explanation:

Since the diameter of the circle is 0.8 meters, that means the radius of the circle would be 0.4 meters. The area of a circle can be found by the formula [tex]\pi r^2[/tex], where [tex]r[/tex] represents the radius of the circle. In this case, the area would be [tex]0.4^2*\pi[/tex] = [tex]0.16 * \pi[/tex] ≈ 0.50 [tex]m^2[/tex].

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters

Answer:

p = 20

Step-by-step explanation:

120 divided by 6 would = 20

Answer: p = 20

Step-by-step explanation:

120/6=20

6x20=120

Answer:

True

Step-by-step explanation:

First, you need to subtract a then that would make a 0

Answer: true

Step-by-step explanation: c and d are the same, so a+c and a+d will be the same

Answer:

  True

Step-by-step explanation:

You want to know if it is true or false that "two angles add up to 180° if and only if they are supplementary."

Two supplementary angles have a sum of 180°. That is the definition of supplementary angles. The offered statement is True.

Answer:

False

Step-by-step explanation:

right!!

Answer:

about 75.36

Step-by-step explanation:

we know the radius of the base (circle) is 2 since 4/2 is 2.

Area of cylinder is height times area of base

6*4π=24π

You round π as 3.14

so 3.14*24= 75.36

Answer:

[tex] 75.4 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 6 cm

Diameter d = 4 cm

Radius r = 4/2 = 2 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(2)}^{2} \times 6 \\ \\ = 3.14 \times 4 \times 6 \\ \\ = 3.14 \times 24 \\ \\ = 75.36 \\ \\ = 75.4 \: {cm}^{3} [/tex]

Answer:

Step-by-step explanation:

A. 39ft2

you draw a line at top of shape. that small rectangle area is 3ft2. the bigger rectangle area is 36ft2. 36+3= 39ft2

Answer:

[tex]\text{This is a fairly simple problem:}\text{Answer= }3*1+36=39ft^2[/tex]

A

Answer:

40.5

I hope u get a good mark glll

Step-by-step explanation:

Answer:

B. 12

Step-by-step explanation:

Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.