Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property

Answers

Answer 1

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:

[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].

Kindly refer to the attached image for details of the given angles and lines.

Proof that [tex]\angle q\cong \angle s[/tex] :

[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

Lines X And Y Intersect To Make Two Pairs Of Vertical Angles, Q, S And R, T. Fill In The Blank Space
Answer 2

Answer:

C

Step-by-step explanation:

Because I am a genius


Related Questions

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:

y = 4x2 - 5X-10
vertex

Answers

Answer:y=4×2 - 5x-10.y=8 -5x-10.y= -3x -10.

The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.​

Answers

Answer:

502,655[tex]m{2}[/tex]

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

What is the area of composite shapes?

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

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Tara has 3/4 cup of ice cream. How many 1/5 -cup servings are in 3/4 cup of ice cream?​

Answers

Answer:

4/15

Step-by-step explanation:

because 1/5÷3/4=4/15

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for$15 each and balcony tickets for$12 each. They want to make at least $3,000 in ticket sales.

Write an inequality whose solutions are the number of floor and balcony tickets sold if they make at least $3,000 in ticket sales.

Answers

Answer:

15x + 12y ≥ 3000

Step-by-step explanation:

Let

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is

15x + 12y ≥ 3000

Answer:

:)

Step-by-step explanation:

15x + 12y ≥ 3000

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is  15x + 12y ≥ 3000

If a diameter of a circle has endpoints (-3, 5) and (5, 7), then the center of the circle is

Answers

The center of the circle is (1,6)

Answer:

The midpoint formula is ( (x1 + x2)/2, (y + y2)/2 ) The answer will be an ordered pair.

(-7 + 5)/2, (3 + 1)/2

(-2/2, 4/2)

(-1, 2)

The center of the circle is at (-1,2)

What is the cost of juice in dollars per fluid ounce?

Answers

11 cents per fluid ounce

The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?​

Answers

Answer:

once again, the pattern is multiply by 3

Answer:

972

Step-by-step explanation:

the pattern is multiplied by 3

ASAP ASAP ASAP
HELP ME PLEASE

Answers

Answer:

D i'm pretty sure

Step-by-step explanation:

Answer: $2.19

Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.

PLZ ANSWER THIS QUICK! THANK YOU!

Answers

Answer:

a) 14:56

simplest form:- 14:56

=>2:8

=>1:4

b)Total necklaces that are sold each month:-240

No. of necklaces that were sold via the shop's website:-180

No. of necklaces that were sold in a high street shop:-(240-180)=>60.

Ratio:- 180:60

simplest ratio:- 3:1.

A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.

Answers

Answer:

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

Step-by-step explanation:

From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:

[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height of the ball, measured in feet.

[tex]a[/tex] - Second order coefficient, measured in feet per square second.

[tex]b[/tex] - First order coefficient, measured in feet per second.

[tex]c[/tex] - Zero order coefficient, measured in feet.

From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:

[tex]A(t, h)= (0\,s,192\,ft)[/tex]

[tex]c = 192\,ft[/tex] (Eq. 2)

[tex]B(t,h) = (1\,s,240\,ft)[/tex]

[tex]a+b+c = 240\,ft[/tex] (Eq. 3)

[tex]C(t,h) =(6\,s,0\,ft)[/tex]

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)

By Algebraic methods, we get this unique solution:

[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.

Answers

I think it's D. If a triangle is equilateral, then each of it's angles measures 60

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

What is an equilateral triangle?

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

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NEED HELP ASAP WILL GIVE BRAINLYEST What is the value of this expression? (−7)(−2)+(−15÷3) Enter your answer in the box.

Answers

Answer:

9

Step-by-step explanation:

Wanda the Witch knows Halloween is coming up soon so she

has started increasing the amount of carbs she eats every

day so she can build up some stamina for all the work

that Halloween brings. (Scaring little kids is a lot of work)


Wanda increased her Carbohydrate intake

from 250 grams a day to 415 grams a day.


By what percentage did Wanda increase the amount of


carbs she eats daily?

Answers

Answer:

mathematics ba talaga po ba ito?

Before beginning voice lessons, Bryan already knew how to sing 146 pieces, and he expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will Bryan need before he will be able to sing a total of 300 pieces? Write and Solve an equation to find the answer.

Answers

Answer:

77 weeks

Step-by-step explanation:

Let the number of weeks be represented as x

The equation for the above question is given as:

146 + 2(x) = 300 pieces

146 + 2x = 300

2x = 300 - 146

2x = 154

x = 154/2

x = 77

Bryan would be needing 77 weeks of lessons

I need someone ti help me with ny homework tmr at 7:30 plzzzz​

Answers

Answer:

what do you need help with?

What is the slope? Pls answer quickk

Answers

Answer:

4/5

Step-by-step explanation:

rise/run is the slope

4/5 rise of the line and run

PLS PLS PLS PLEASEEE HURRY UP

Answers

Answer:

Step-by-step explanation:

d

f(2) = ? pls helpppppp

Answers

Answer:

-2

Step-by-step explanation:

f(2): take the (2) from the f(2) because that's the x value.

you go to where it's 2 on the x-axis.

f(x)=f(2)

f(x)=y

so you are trying to find the y-axis number when you are at 2 on the x-axis.

whichhh is -2

Answer: the slope is 2

Given g(x)=-x-1, find g(-4)

Answers

Answer:

g(-4)=3

Step-by-step explanation:

g(x)=-x-1

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

Answer:3

Step-by-step explanation:

-16 > -f, if f = 15
True or falsehood

Answers

Answer:

false

Step-by-step explanation:

15 is a larger number than -16

8x0.3= pls help now 82 points

Answers

Answer:

2.4 8 times 3 is 24 so 8 times 0.3 is 2.4

PLEASE IM BEGGING U I NEED THIS PLEASE!!! THANK U FOR HELPING cries!!

What is the equation of the line, in standard form, if the slope is = - 1/4 and it passes through point (-3,4) ?

THANK U SO MUCH!!

Answers

Answer:

x+4y=13

Step-by-step explanation:

slope m= -1/4

(-3,4)

Slope intercept form: y=mx+c. plug in values of x,y,m, find c

4=(-1/4)*(-3)+c

c=4-3/4=(16-3)/4=13/4

Equation of line is:

y=(-1/4)x+13/4

To bring it to standard form, 4y=-x+13

x+4y=13

Fill in the blanks by creating the line parallel to y= -1/2x+7 that goes through (-2,3) in slope intercept form.

Answers

Answer:

y = [tex]-\frac{1}{2}[/tex] x + 2

Step-by-step explanation:

Two parallel lines share the same slope, so the slope of this parallel line will also be [tex]-\frac{1}{2}[/tex].

Now, you'll have to find the y-intercept. But, to make sure your line also goes through the point (-2, 3), plug them into the x and y values:

y = mx + b

3 = (-1/2) (-2) + b

3 = 1 + b

b = 2

Now you can plug the y-intercept and slope into the slope-intercept formula:

y = [tex]-\frac{1}{2}[/tex] x + 2

please help me out!!!

Answers

850 because if they are 0.004 gigs and you have 3.4 you just have to divide

A composition of rigid
motions maps one figure to another figure is each intermediate image in the composition congruent to the original and final figures? Explain.

Answers

Answer:

Swaped

Step-by-step explanation:

Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.

What types of motions create congruent figures?The two are said to be congruent if and only if one of two plane figures can be produced from the other by a series of rigid motions such as rotations, translations, and/or reflections.Because rigid motions preserve length and angle measurements, the corresponding parts of congruent figures are also congruent. As a result, if the corresponding parts of two figures are congruent, there is a rigid motion or a composite rigid motion that maps one figure onto the other.Every point in the plane can be moved in that direction using any method. a) The distance ratio between the two points remains constant. b) The relative positions of the points remain unchanged.

Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.

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Which statement about the graph is true?
•The period of the graph is 2pi/3
•The amplitude of the graph is 2 units •The domain of the graph is from –3 to 3 and is inclusive.
•The graph represents a reflection over the x-axis of the function y = 3sin(2x)​

Answers

Answer:

D. The graph represents a reflection over the x-axis of the function y = 3sin(2x).

Step-by-step explanation:

The statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a trigonometric graph in the picture.

The maximum value graph achieve is 3

The minimum value graph achieve is -3

The midline y = 0

The parent function will be f(x) = sinx

Transformed function:

y = 3sin(2x)

Thus, the statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.

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I need help with this question.

Answers

Answer:

its the 4th one

Step-by-step explanation:

x<-70

Which expression is equivalent to 163?
O 27
O 211
o 212
o 264

Answers

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

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What vocabulary term describes symbols that represent numbers whose quantity we don't know?

Answers

Answer:

variable

Step-by-step explanation:

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