Mathematics College

what is the correct order of reasons to complete the proof??

Answers

Answer 1

Answer: Choice B

I, I, V, II

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

Explanation:

When doing any proofs, we always repeat what is given to us. In this case, the given statements are

QT = RSQS = RT

It seems weirdly redundant to repeat these statements back to the teacher, but this is how all proofs start off. You state what is given and the reason is simply "given". So far the answer is narrowed down to choice B or choice C, due to the "statement I" listed twice like that.

From those statements, we build toward what we want to prove. Those two given statements tell us we have two pairs of congruent sides. If we could prove a third pair of sides are congruent, then we can use SSS which stands for "side side side". It turns out that we are more or less automatically given the third pair of sides in the form QR = QR, which is true by the reflexive property. This property says that any segment is congruent to itself. So we'll have statement V listed after statement I twice. The sequence so far is I, I, V. At this point, we can conclude that choice B must be the final answer. Sure enough, statement II involves SSS just like mentioned earlier.

Related Questions

PLEASE HURRY!! (No links)

Solve the inequality

−2 (k − 5) < −2k + 2

Answers

Answer: simplify 0<-8 no solution

Step-by-step explanation:

If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?

Answers

Answer:

[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],

z= 179.2 when y= [tex] \frac{5}{28} [/tex]

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

[tex]z = \frac{k}{y} [/tex], where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=[tex] \frac{6}{7} [/tex],

[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]

[tex]z = \frac{2}{7} [/tex]

When y= 8, z= 4,

[tex]4 = \frac{k}{8} [/tex]

k= 4(8)

k= 32

[tex]∴z = \frac{32}{y} [/tex]

When y= [tex] \frac{5}{28} [/tex],

[tex]z = 32 \div \frac{5}{28} [/tex]

[tex]z = 32 \times \frac{28}{5} [/tex]

z= 179.2

How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?

Answers

Answer:

Step-by-step explanation:

180(s-2)=4140

180s-360=4140

add 360 to both sides

180s=4500

divide both sides by 180

s=25

Hello. I am trying to figure out how to convert 17cm2 or cm squared to in2 (in squared)

Answers

Answer:

1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2

Step-by-step explanation:

Welcome, Brainlest Please?

What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same?
HELP ASAP!

Answers

Answer:

$7.04

Step-by-step explanation:

We use proportions so if 3/$5.28 = 4/x. X being the price of 4 pounds. X works out to 7.039 with the 9 infinitely repeating. We round it up for cents and we get $7.04

1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3

Answers

-4-5 to the matrix 54 can symmetric to 3 aswell as other numbers

The circumference of a circle equals 2 r, where r is the radius. Find
the circumference of a compact disc that has a radius of 6.0 cm

Answers

Answer:

The answer is 37.68 or 37.7

Step-by-step explanation:

What you have to do first is find the diameter. So you have to multiply the radius (r) by 2 to get the diameter. 6 times 2 is 12. After that you, will multiply 12 by pi, or 3.14 to get 37.68

someone help please!!

Answers

Answer:

a - 145

b - 35

c - 145

d - 70

e - 70

f - 110

g - 55

h - 125

i - 55

j - 50

k - 50

l - 130

m - 50

n - 80

o - 50

p - 23

q - 89

r - 68

s - 157

t - 112

u - 48

v - 132

w - 132

x - 48

y - 48

z - 132

A - 48

B - 94

C - 86

D - 94

E - 47

F - 133

please work QUICK its a test

Answers

If you’re solving for d, it would be d = 10-3i

Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4

The solution is ____ (Type an exact answer in simplified form.)

Answers

Answer:

(x, y, z) = (2, -4, 3)

Step-by-step explanation:

It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].

If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.

r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement

r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement

r1 ← r1 -2·r2 +5·r3

r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.

_____

Additional comment

Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.

Solve for x. x+12−−−−−√=x√+2

Answers

~equality

x + 12 = x√+2

= x + 12 = √2 x

= x = √2 x - 12

= x - √2 x = -12

= (1 - √2)x = -12

= x = -12/1- √2

= x = -(-12(1 + √2))

= x = -(-12 - 12√12)

= x = 12 + 12√2 ✔️

~ nice to help you ^^

Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.

Answers

Answer:

The gravitational force acting between the two bodies is given by:

F=G

The dimension of the force is [MLT

−2

]

[M][M]

[MLT

−2

][L

]

−1

−2

Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size

Answers

Answer:

2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =

-0.8 + 4.1 + 10.8 : (-0.1) =

-0.8 + 4.1 + (-108) =

3.3 - 108 =

-104.7

Can 4x + 10 can be simplified to 14x?

Answers

Answer:

Step-by-step explanation:

“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)

so you need to sole 4x and after add 10

The answer would be “No” it cannot be simplified .

-6x + 30 < -18. Help pls

Answers

Hello, hope you are having a splendid day.

-6x+30<-18

First, move all the numbers to the right, using the opposite operation:

-6x<-18-30

-6x<-48

Divide both sides by -6:

x>8

Now, if we divide both sides by a negative variable, we change the inequlaity sign.

Hope it helps.

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

Answer:

[tex]\boxed{\boxed{\sf x>8}}[/tex]

Step-by-step explanation:

[tex]\sf -6x\:+\:30\:<\:-18[/tex]

Subtract 30 from both sides:

[tex]\sf -6x+30-30<-18-30[/tex][tex]\sf -6x<-48[/tex]

Multiply both sides by -1 :

[tex]\sf \left(-6x\right)\left(-1\right)>\left(-48\right)\left(-1\right)[/tex][tex]\sf 6x>48[/tex]

Divide both sides by 6:

[tex]\sf \cfrac{6x}{6}>\cfrac{48}{6}[/tex][tex]\sf x>8[/tex]

___________________________________

(3,1);m=4
(Write an equation in point slope form of the line that passes through the given point and has the given slope)

Answers

It should be y-1 = 4(x-3)

7433654 round to the nearest thousand

Answers

I don't know i just need the points

it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?

Answers

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10 --- 10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

If two events (both with probability greater than 0) are mutually exclusive, then:

Answers

Answer:

they are not independent

Step-by-step explanation:

they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.

Simplify the expression.

6(12 – 3) + 4 + (3 × 2)

64
96
144
208

Answers

Answer:

Step-by-step explanation:

6(12-3) + 4 + (3×2)

6(9) + 4 + 6

54 + 4 + 6

= 64

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