What is the missing reason for line 2 in this proof?

What Is The Missing Reason For Line 2 In This Proof?

Answers

Answer 1
Answer:  Choice C

Definition of a rectangle

Explanation:

A rectangle has two sets of parallel sides, and those opposite sides are the same length. This is simply the definition of what it means to be a rectangle. Because ABCD is a rectangle, we have these two pairs of congruent opposite sides:

AB = CDAD = BC


Related Questions

What is the slope of the line

Answers

Answer:

-3

Step-by-step explanation:

What is the total distance travelled?​

Answers

200 km

It travels 100km in one hour then another 100km in another hour

If the figure is translated 2 units left and 4 units down what are the coordinates of L

Answers

Answer:

(2 , -2)

Step-by-step explanation:

L (4 , 2) -> (4-2 , 2-4) -> (2 , -2)

what is the answer to 415÷23

Answers

Answer: 18

Step-by-step explanation:

Answer: 18.04347826086957

Step-by-step explanation: you could use a calculator too-

Which statement BEST explains why the slope of each line segment formed by the hypotenuse of each triangle is the same?
A)
The triangles are similar.
B)
The triangles are congruent.
C)
The triangles share a point.
D)
The triangles are right triangles.

Answers

Answer:

A

Step-by-step explanation:

Two triangles can be similar if their leg lengths are in proportion with each other, regardless of size. Since the triangles are the same in different sizes, they are similar. The hypotenuse of the triangles isn't the same, but the angles are the same, so the hypotenuse will still follow the same line.

A toaster has 4 slots for bread. Once the toaster is warmed up, it takes 35 seconds to make 4 slices of toast, 70 seconds to make 8 slices, and 105 seconds to make 10 slices. Explain how to predict the time it takes to toast any number of slices of toast.

Answers

It will take the toaster about 175 seconds to make 20 slices.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that The toaster takes 35 seconds to make 4 slices of toast.

It takes 70 seconds to make 8 slices of toast, It also takes 105 seconds to make 12 slices.

We are required to calculate how long it may probably take the toaster to make 20 slices.

To calculate the time it takes the toaster to make 1 slice:

4 slices ---------- 35 seconds

1 slice ----------- ? seconds

1/4 × 35 = 35/4 seconds

Now, if 1 slice will be made in 35/4 seconds,

20 slices will be made in:

1 slice --------- 35/4 seconds

20 slices ------ ? seconds

(20/1) × 35/4 = 175 seconds

Hence It will take the toaster about 175 seconds to make 20 slices.

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An office manager spent $4870 on a
total of 14 chairs and desks. Each chair
costs $125, and each desk costs $515.
How many chairs and how many desks
did he buy?

Answers

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 =  1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

WZ and XR are diameters of circle C. The diagram is not drawn to scale.

Circle C is shown.
Radii are drawn from point C to point R at the right, point Z at the upper right, point Y at the upper left, point X at the left, and point W at the lower left.
Angle Y C Z measures 112 degrees.
Angle X C W measures 63 degrees.
Points X, C, and R are all on the horizontal diameter of the circle.


What is the measure of convex arc upper Z upper W upper X?
A. 355º
B. 5º
C. 292º
D. 243º

Answers

The measure of convex arc upper Z is 243⁰ Option D

How to find the measure of the angle?

We should be aware that a convex angle is the angles that are irregular in nature

Assume that  the radius of the given circle is r.

The central angle of the lower arc ZWX = 41+180 = 221⁰

Note that then central angle of the upper arc ZWX = 360- 221⁰

This implies that the central angle of the upper arc ZWX = 360-221 = 139⁰

Recall that Lenght of arc = A/360 *2*π*r

Where A is the angle made by the radii, r= radius of the circle

Arc length of upper ZWX:

Arc length of upper ZWX = 139π/180*r

Arc length of upper ZWX = 139πr/180

The lenght is (139*22)/ 180*7

= 3058/2360

= 245⁰

In conclusion the measure of the convex upper is 245⁰

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How do you find the domain for the composition of two functions FG?

Answers

All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.

What is domain?

A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.

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PLS ANSWER QUICK THANK YOU

Answers

Answer:

0.001

Step-by-step explanation:

i hope this helps :)

Answer: 0.001

Because the numerator and denominator both have 4 as a term, they can cancel each other out. This leaves the fraction as [tex]\frac{10^{-6} }{10^{-3} }[/tex]. When dividing terms with exponents, the exponents should be subtracted. -6-(-3)=-3. Because the term is [tex]10^{-3}[/tex], it needs to be changed into a fraction, so the exponent is positive. This would equal [tex]\frac{1}{10^{3} }[/tex]. This equals 1/1000, which is 0.001.

Finding the Probability of Simple Events

Answers

Answer:

th chicken

Step-by-step explanation:

300 grams of type a raisin bran is mixed with 500 grams of type b raisin brad to produce a mixture which is 11% raisins. Type A raisin bran has twice as many raisins per kilogram as type b. What percentage of raisins are each type of raisin bran?

Answers

The blend contains 16% of type A and 8% of type B.

What is meant by percentage?

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

Let p be the percentage of type b used for the mix

2p be the percentage of type a used for the mix

2p × 300 + p × 500 = 0.11 × 800

simplifying the above equation, we get

p = 0.08 or 8%

Substitute the values in the above equation

2p = 2 × 0.08 = 0.16 or 16%

16 % of type a and 8 % of type b exists utilized for the mix.

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The required percentage of raisins are each type of raisin bran are 16% and 8%.

What is meant by percentage?

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

Let p be the percentage of type b used for the mix

2p be the percentage of type a used for the mix

2p × 300 + p × 500 = 0.11 × 800

simplifying the above equation, we get

p = 0.08 or 8%

Substitute the values in the above equation

2p = 2 × 0.08 = 0.16 or 16%

16 % of type a and 8 % of type b exists utilized for the mix.

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5 mop and 7 broom cot a total of $855. 0. A mop cot $15. 00 more than a broom. Find the cot of:


a) 1 mop



b) 1 broom


pleae how working

Answers

the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

What is the system of equations?

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied in other words, the locations at which all of these equations intersect.

To find the cost of a mop and a broom, we can set up a system of equations using the information given:

Let x be the cost of a broom

Let y be the cost of a mop (which is $15 more than a broom)

From the problem, we know that:

y = x + 15 (since a mop costs $15 more than a broom)

5x + 7y = 855 (since 5 mops and 7 brooms cost a total of $855)

We can substitute the first equation into the second equation:

5x + 7(x + 15) = 855

5x + 7x + 105 = 855

12x = 750

x = 62.5

Hence, the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

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What is the nature of roots of quadratic equation x^2 =- 2x 1?

Answers

The nature of roots of quadratic equation x² = -2x + 1 is real and distinct.

The standard form of a quadratic equation is:

ax² + bx + c = 0

The discriminant is defined as:

D = b² - 4ac

Using  the value of discriminant, we can determine the nature of roots of a quadratic equation.

If:

D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.

D = 0, the quadratic equation has 1 real equal roots or the roots are unique

D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.

In this case, the quadratic equation is:

x² = -2x + 1

transform it into the standard form:

x² + 2x - 1 = 0

Calculate the discriminant:

D = 2²  - 4 (-1) = 8

Since D > 0, the roots are two distinct real roots.

Your question is incomplete, but most probably your question was:

What is the nature of roots of quadratic equation x² = -2x + 1?

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Can someone help me with this? It’s due today :c

Answers

1 = 60 as the opposite angles are equal

2 = 120

3 = 80

4 = alternate interior angles

Melissa wants to check the accuracy of the finance charge on her loan. She has a $6,000, 4-year loan at an APR of 3.11%. What is her monthly payment? Round to the nearest cent.

Answers

Answer: $133.10.

Step-by-step explanation:

Answer:

To calculate the monthly payment for a loan, you can use the following formula:

Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))

In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:

Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))

Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.

Step-by-step explanation:

Benjamin traveled at an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 70 miles per hour for 3.5 hours. What was the total distance in miles that Benjamin traveled during this time?

Answers

Answer:

542 miles

Step-by-step explanation:

65 miles/hour x 4.5 hours = 297 miles for the first part

70 miles/hour x 3.5 hours = 245 miles for the second part

297 + 245 = 542 miles

Is ratio a Mathematical Concept????

Answers

Answer:

Yep!

Step-by-step explanation:

Find the percent of the number, 20% of 60 is?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

The statements that are always true regarding the diagram are:

i. m∠5 + m∠6 =180°

ii. m∠2 + m∠3 = m∠6

iii. m∠2 + m∠3 + m∠5 = 180°

Exterior and interior angles of a triangle.

A triangle is a 2 dimensional plane figure which is formed by three straight lines and has three interior angles. It has both interior and exterior angles. Some examples of a triangle are; isosceles, equilateral, scalene, right angled etc.

The interior angles of a triangle are the measure of the three internal angles of the triangle, while exterior angles are external to the interior angles of the triangle.

Note that; the exterior angle of a triangle is equal to the sum of the two adjacent interior angles.

Therefore considering the given diagram, the required statements that are always true regarding the diagram are:

i. m∠5 + m∠6 =180°

ii. m∠2 + m∠3 = m∠6

iii. m∠2 + m∠3 + m∠5 = 180°

A sketch of the diagram is herewith attached to this answer for clarity.

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х
x
(1) Find the value of 7x + 3y

when
= 12 and
y = -6​

Answers

Answer:

66

Step-by-step explanation:

Answer:

66 is the correct answer

Step-by-step explanation:

when 7(12)+3(-6)

= 84+(-18)

66

PLEASE HELP FAST !!

Animal Is a bird Can fly Ostrich Emu ✓ Canary ✓ Pig Seagull ✓ ✓ ✓ ✓ Crow Mosquito ✓ Let event A = The animal is a bird. Let event B = The animal can fly. Which outcomes are in A and B? A. {ostrich, emu, canary, seagull, crow, mosquito} B. {canary, seagull, crow} C. {canary, seagull, crow, mosquito} D. {ostrich, emu, canary, seagull, crow}

Answers

Answer:

in explanation

Step-by-step explanation:

The canary, the seagul, and the crow, All have both checkmarkes that shows that they Can fly AND they are birds (so B)

Bro this is easy you dont need Brainly for this just read it carefully and look at the graph.

Answer:

canary, seagull, crow

Step-by-step explanation:

just took the test

pleaseee solve i need in at least 5 mins

For the function
g(x)=5x−−√
gx=5x

, find
g(3), g(7), and g(11).
g3, g7, and g11.

The find the average rate of change, to the nearest hundredth, over each of the following intervals. (MAFS.912.F-IF.2.6)



A.
3≤x≤7
3≤x≤7

__________



B.
7≤x≤11
7≤x≤11

_________

Answers

G=11 because the math and the numbers all add one to one round number

A rectangle has a length of 5x - 2 and a width of 3x. If the perimeter is 76, what is the width?

Answers

Answer:

w = 15

Step-by-step explanation:

p = 2l + 2w

76 = 2(5x - 2) + 2(3x)

76 = (10x - 4) + (6x)

Combine like terms

76 = 16x - 4

add 4 to both sides

80 = 16x

Divide both sides by 16

5 = x

x = 5

-------------------------

width

w = 3x

w = 3(5)

w = 15

Judy tosses a coin four times. Draw a tree diagram showing the possible outcomes. Select the probability of getting 2 heads
then 2 tails.
a. 1
5
4
16
C.
b.
1
8
d.
1
16
This is fractions

Answers

Answer:

d. 1/16

Step-by-step explanation:

Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.

Hope this helps!

How do you decide which technique to use when solving an equation?

Answers

Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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Can anyone answer what 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 is? Calculators are definitely acceptable, expecting a big number.

Answers

Answer:

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

big number

1 and double the zeros you just type

Can someone help me out with this my grade are bad

Answers

Answer:

(4, 3)

Step-by-step explanation:

hope this helps :)

Don’t know just need help with answer

Answers

The length AB is 15.

What is length ?

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.

In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.

As it is a isosceles the two sides are equal

5x = 4x + 3

x = 3  

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In a right triangle, a = 14.2 cm and b = 13.9 cm. Find c. Round to the
nearest tenth.

Answers

Applying the Pythagorean theorem, the value of c in the right triangle, to the nearest tenth is: B. c = 19.9 cm

What is Pythagorean Theorem?

The Pythagorean theorem is used to find any side of a right triangle. If c is the hypotenuse, and a and b are the legs, the Pythagorean theorem states that, c = √(a² + b²).

Given:

a = 14.2 cmb = 13.9 cm

Thus:

c = √(14.2² + 13.9²)

c = 19.9 cm.

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