3. Here is a quadrilateral ABCD with M as the midpoint of
segments AC and BD.
Prove: Angle ABM is congruent to angle CDM
Portfolio Question

To find the slope of a line parallel to a given line, we need to find the slope of the given line. The slope of a line parallel to y = -3x + 10 is -3.

To find the slope of a line parallel to a given line, we need to find the slope of the given line. We can do this by taking the coefficient of x in the equation and making it the numerator of a fraction with a denominator of 1.In the equation y = -3x + 10, the coefficient of x is -3.

Therefore, the slope of a line parallel to y = -3x + 10 is -3.

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Triangle GHJ is congruent to triangle EKI by using ASA congruence theorem.

The given triangle are GHJ and EKI.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider ΔGHJ and ΔEKI

Hence, proved triangle GHJ is congruent to triangle EKI by using ASA congruence theorem.

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Answer:

The sales tax in California is 7.25%, which means that for every dollar you spend, you need to pay an additional 7.25 cents in sales tax. So if you buy a pair of shoes that costs $39.00, you would need to pay an additional $2.84 in sales tax (39 x 0.0725 = 2.84). This means that the total cost of the shoes would be $41.84 (39 + 2.84 = 41.84).

Step-by-step explanation:

Answer:

41.83

Step-by-step explanation:

39 x .0725 = 2.83  Tax rounded to the nearest cent

2.83 + 39 = 41.83

The required  probability that their hospital stay is from 5 to 6 days is 3.31%.

An normal distribution is a sort of ceaseless likelihood dissemination wherein most information guides bunch to the center of the reach, while the rest tighten evenly toward one or the other limit. The center of the reach is otherwise called the mean of the distribution.

We have,

mean(a) = 7.37, standard deviation(S) = 2

Using formula

[tex]Z = \frac{x-a}{S}[/tex]

Then,

P( hospital stay is from 5 to 6 days)

P(5[tex]\leq[/tex]x[tex]\leq[/tex]6) = P[tex](\frac{5-7.37}{2}\leq z\leq \frac{6-7.37}{2})[/tex] = P(-3.16 ≤ z ≤-1.827 )

⇒P(z≤-1.827) - P(z≤-3.16)

⇒ 0.034 - 0.001 = 0.331 = 3.31%

Theus, probability is  3.31%

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A squared-- so the length of one of the shorter sides squared-- plus the length of the other shorter side squared is going to be equal to the length of the hypotenuse squared.

where a and b are legs and c is the hypotenuse

we are given one leg (OP=8) and the hypotenuse (ON=18) so now we can plug in these numbers to find PN

8²+b²=18²

64+b²=324

b²=260

b=√260

b=√4 * √65

b=2√65

now that we have the value of PN, we can get the value of LN by doubling 2√65

2(2√65) = 4√65

so your answer should be:

LN = 4√65

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Answer:

(0,-8) and (0,-2)

Step-by-step explanation:

Factorize: x² + 10x + 16 = 0

You'll get: (x + 8)(x + 2) = 0

The roots are x = -8 and x = -2

So the curves intercepts the x-axis at (0,-8) and (0,-2)

Answer:

(-2,0) and (-8, 0)

Step-by-step explanation:

Factor the function:

(x + 2)(x+8) = 0

x = -2, -8

x intercepts are when y=0

Coordinates are:

(-2,0) and (-8, 0)

Gerund can be used in place of infinitive depends on the sentence as this is a subjective.

Explanation:

Gerund can be used in place of infinitive in the sentence.

Therefore, gerund and infinitive are interchangeable or not depends on the sentence.

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Answer:

6

Step-by-step explanation:

its 6

The two equations of a line are 1) Two point form

2)Slope-intercept form

Two-point form: The equation of a line passing through the two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex]. The slope of the two-point form is [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

The equation is [tex]y-x_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]

Slope-intercept form: The slope-intercept form is [tex]y=mx+c[/tex]. Here m represents the slope of the line and c represents the y-intercept of the line.

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Answer: 5

Step-by-step explanation:

Because 5x5=25

The slope of the line passes through two points is (y2-y1)/ (x2- x1).

Slope of a line:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Here we have to find the slope of a line that passes through two points.

Data given:

Point 1 = (x1, y1)

Point 2 = (x2, y2)

The general formula to find the slope of a line:

Slope(m) = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are two points on the line.

Therefore the slope is (y2-y1)/ (x2 - x1).

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[tex]\tan 64^{\circ}=\frac{x}{11} \implies x=11 \tan 64^{\circ}[/tex]

Answer:

The isosceles triangle altitude bisects the angle of the vertex and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.

The theorem to shows triangle ATC is congruent to triangle BTD will be ''SAS'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle ATC is congruent to triangle BTD.

Now,

In the figure, we get;

⇒ AT = TB   (Side)

⇒ AC = BD  (Side)

⇒ ∠ATC = ∠DTB = 90°  (Vertically opposite angle)

Thus, By using SAS theorem the triangle ATC is congruent to triangle BTD.

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By using the concept of equation, it can be calculated that-

The equation can be solved by using this system of equations

[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]

What is equation?

At first it is important to know about algebraic expressions.

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

Here the system of equation are-

[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]

So the equation can be solved by using this system of equations

[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]

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Complete Question

Which equation can be solved by using this system of equations?

[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]

Answer:

27.72 inches of fabric

Step-by-step explanation:

28+3=31

Fabric used on each player:

559.24÷31=18.04

271.04÷28=9.68

Safia can fit 4 cakes on the oven tray at one time

Firstly, We need to change the measurements from mm to cm

600mm x 0.1cm/1mm = 60cm

500mm x 0.1cm/1mm = 50cm

Area of the Tray (rectangular) = 60cm * 50cm = 3,000cm²

Area of the cake tin (circular) = π r²

r = d/2 = 25/2 = 12.5cm

Area of the cake tin = 3.14 * (12.5cm)²

Area of the cake tin = 3.14 * 156.25cm²

Area of the cake tin = 490.625cm²

Area of the tray ÷ Area of the cake tin = number of cake tins that fit

3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins.

thus, We can conclude that she can fit 6 cakes in the oven at once.

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(complete question)

Safia bakes cakes. The dimensions of the oven tray are 600mm x 500mm. A cake tin is 25 cm in diameter. How many cake tins can Safia fit on the oven tray at one time?

Answer:

SA = 124 cm².

V = 72 cm³

Step-by-step explanation:

The length and width of the rectangular field is 316 ft and 133 ft respectively.

An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.

It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.

Given,

perimeter of rectangular field = 898 ft

let width be 'x'

then,

length = x+183

The perimeter of a rectangle is,

[tex]P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133[/tex]

Thus, the width is 133 ft and length is (133+183)=316 ft.

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Your question is incomplete, here is the complete question.

A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?

Answer: 99

Step-by-step explanation:

substitute 6 in to the x in the equation

[tex]6^{2} +10(6)+3[/tex]

36+60+3

96+3

99

Answer:

99

Step-by-step explanation:

(6)^2 +10(6)+3

6^2=6*6=36

10*6=60

36+60+3

99

Answer:

The answer is b because none of the other answers are reasonable.

Step-by-step explanation:

cuz im smart

please give brainliest

The equation used to find the answer is 26 -14 -6 =

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

number of flowers picked by the girl = 14

number of flowers already with her = 6

number of flowers picked by her grand mother = 26

so her grandmother picked 26 - 14 - 6 flowers more than her. so then equation becomes 26 -14 -6 = ?

In conclusion, the equation that best describes the above is 26 -14 -6 = ?

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The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 138

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR  = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² -0.025x + 138

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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The number of solutions over the complex number system to the given polynomial is 5 .

The complex  number is fundamentally the mix of a real number and a nonexistent/imaginary number. The complex number is given by  a+ib, where a is defined as the real number  and ib = imaginary number. Additionally, a,b has a place with real numbers and i = √-1.

Consequently, a complex number is a straightforward portrayal of expansion of two numbers, i.e., real number and a imaginary number. One piece of it is simply genuine and the other part is absolutely nonexistent.

Now, the given polynomial is 7x⁵ - 33x⁴ -4x²+3x+52=0.

We know very well that for complex number, its number of solution is decided by the degree of the polynomial. Degree is defined as the highest exponent of variables present in polynomial. Highest exponent present in polynomial is 5.

Hence, number of solutions are 5.

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Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.

A perimeter is a closed path that surrounds, encircles, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is its circumference. Perimeter calculations have many applications in the real world.

Here,

the grassy area = 40' x 100'

He has numerous outbuildings in the forested area as well, and he mows the area surrounding the trees less regularly than the rest of the yard. A fence completely encloses the area that has been described. He maintains his collection of exotic marijuana plants hidden in the long grass in the area outside the fence, which is an area he does not maintain.

Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.

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37,840 is the fox population predicted to be in the year 2019.

What is a growth rate?

The country, territory, or geographic area's yearly average rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and the total population for that year.

Here, we have

A growth rate of 9% per year means that at the end of each year, the population is 1.09 times what it was at the start of the year.  

We keep this up for t years, starting with an initial population of 20,700, and get

P(n) = 20,700 (1.09)ⁿ

n = years since 2012, when the population was 20,700

For the year 2019,

n = 2019 - 2012 = 7

P(7) = 20,700 (1.09)⁷ ≅ 37,840

Hence, 37,840 is the fox population predicted to be in the year 2019.

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Answer: No, it is

0.27

Step-by-step explanation: No, it is incorrect, because .3 x .9 is not greater than 100, so it would be regularly 3 x 9 (which is 27) and since it is less than 100, it would be 0.27. I hoped this answered your question :)

Answer:

y=7/2x+1

Step-by-step explanation:

Remember this formula

Y=mx+b

m=slope

b=y-intercept