O MODULE 1: EXPRESSIONS AND EQUATIONS
Distributive property: Integer coefficients
Use the distributive property to remove the parentheses.
(-6+x+3y)(-6)
DO
X Х
?

Answer:

nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

Answer:

Yes

Step-by-step explanation:

I will write it in the form of a theorem

Given:

X=C; WX=BC;WY=BD

To prove:

WXY = BCD

Proof:

X=C (This is a angle)

WX=BC

WY=BD

Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.

Answer:

For f(x) to be differentiable at 2, k = 5.

Step-by-step explanation:

For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.

For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.

Now,

f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.

As h tends to 0, lim (5 – 2h) = 5

Also

f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h

As h tends to 0, lim (5 + 3h) = 5.

So, for f(2) to be continuous k = 5

Answer:

ok so you need to just do

Step-by-step explanation:

y x 575 = 575

              constant

Answer:

By hypotenuse - side test (HL) the two triangles are congruent.

Step-by-step explanation:

In ∆ABC and ∆DCB

i) angleABC = angleDCB.....(each 90°)

ii) BC = BC .....( common side)

iii) AC = DB.....(given)

therefore by hypo-side test ∆ABC congruent ∆DCB

Answer:

HL

Step-by-step explanation:

∠B ≅ ∠C = 90°

AC =   DB                  {Given and they are hypotenuse}

BC = CB                     {Reflexive property}

ΔABC ≅ ΔDCB             {HL congruent}

Answer:

A. parabola I believe that is the answer

Answer:

1 hour and 54 minutes and ignore this stuff sjsjsbdbsj

Answer:

An hour and 54 minutes lol

Step-by-step explanation:

Answer:

you need a wide range of values in order to draw an accurate line ideally values that are not to close to each other

Answer:

Step-by-step explanation:

Perimeter = 5+x+5+x = 10 + 2x

10 +2x = 120

2x = 110

x = 55

Answer:

k=0

Step-by-step explanation:

/2-5K+3=4

We move all terms to the left:

/2-5K+3-(4)=0

determiningTheFunctionDomain

-5K+3-4+/2=0

We add all the numbers together, and all the variables

-5K-1+/2=0

We multiply all the terms by the denominator

-5K*2-1*2+=0

We add all the numbers together, and all the variables

-5K*2=0

Wy multiply elements

-10K=0

K=0/-10

K=0

Answer: D

Step-by-step explanation:

Answer:

These triangles are not similar I think

Hi there! Let's solve this problem step by step.  :)

We have two triangles, QRP and XYP.  You're given a few values.

It is given that QR = 16.  QP = 6 + 18.  RP = 5 + 15.  Go ahead and add those.

QR = 16, QP = 24, RP = 20.  

Now XYP!

XY = 12.  YP = 15.  XP = 18.  

If you know the corresponding parts between these triangles--they should be QR to XY, QP to YP, and RP to XP.  Those are 16/12, 24/15, and 20/18.  Divide those.  

You get 1.3333, 1.6, and 1.1111.  Your turn! Are they similar?

[P.S., if you're confused about the AA/SAS/SSS similarity postulates, that just means the sides they have in common.  You're not given any angle measurements, so SAS (side angle side) is out.  SSS is possible, but since the ratios aren't equivalent, SSS is out.  Again, AA (angle-angle) isn't possible because you're not given any angle measurements.)

That's it! :)

Good day, friend.

Answer:

Step-by-step explanation:

[tex]\tan (x-\frac{\pi }{2} )=\frac{tan~x-tan~\frac{\pi }{2} }{1+tan~x~tan~\frac{\pi }{2} } \\or~\cot(x-\frac{\pi }{2} )=\frac{1+\tan~x~\tan\frac{\pi }{2} }{\tan~x-\tan~\frac{\pi }{2} } \\divide~the~R.H.S. ~by~\tan ~x~\tan~\frac{\pi }{2} \\=\frac{\cot~x~\cot~\frac{\pi }{2} +1 }{\cot~\frac{\pi }{2} -\cot~x} \\\cot\frac{\pi }{2} =0\\\cot(x-\frac{\pi }{2} )=\frac{\cot~x ~\times~0+1}{0-\cot~x} \\\cot~(x-\frac{\pi }{2} )=-\frac{1}{\cot~x} =-\tan~x[/tex]

Answer:

x= 29/15

Step-by-step explanation:

Answer:

B. 35

Step-by-step explanation:

The range of a set of numbers is the difference between the highest and lowest numbers in the set.

1. Find the highest and lowest numbers from the set. Arranging them from least to greatest can make this easier.

-15, -12, 6, 18, 20

The lowest number is -15 and the highest is 20.

2. Subtract these two numbers to find the range.

20 -- 15

Two minus signs like that make a positive, so it becomes an addition problem.

20 + 15 = 35

Answer is b.

I also think the right option is B)- 35

Answer:

Step-by-step explanation:

6(3x - 4)

Answer:

6(3x-4) this is the correct answer

Answer:

6/10 hours  

Step-by-step explanation:

36 minutes/ 60 minutes

divide by 6 on both sides

36/6= 6       60/6=10

6/10 hours

probably bad explaining but hope this helps :)

Answer:

here is your answer.....

Step-by-step explanation:

2 + h - 4 = 0

LHS:

2 - 4 + h

-2 + h

Therefore:

-2 + h = 0

h = 0 - 2

h = - 2

SO,

the value of h is -2

Answer:

Step-by-step explanation:

23 x .565 = 12.995

12.995 rounded is 13.

So if the answer is .565, and you need to round to the nearest percent, it would be 57%.

Answer:

Step-by-step explanation:

1) Decreased students = 23 -13 = 10

Decreased percentage = [tex]\frac{10}{23}*100[/tex]

                                       [tex]= \frac{1000}{23}\\\\= 43.47[/tex]

                                       = 43%

2) Increased amount = 81 - 68 = $ 13

Increased percentage = [tex]\frac{13}{68}*100[/tex]

                                     [tex]= \frac{1300}{68}\\\\= 19.11[/tex]

                                    = 19%

Answer:

A∩B={7,9}

Option A is correct option.

Step-by-step explanation:

We are given:

A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}

and we need to find A intersects with B i.e. A∩B

We find A intersects with B, we will consider only those terms that are common in both A and B

So,

A∩B= {3, 5, 7, 9} ∩ {1, 2, 4, 6, 7, 9}

As 7 and 9 are only common in both A an B

A∩B={7,9}

So, we get: A∩B={7,9}

Option A is correct option.

Answer:

60

Step-by-step explanation:

180 divided by 3 is 60 so its 60mph

Answer:

60 miles per hour

Step-by-step explanation:

To get the mph, you have to divide the miles traveled by the time, so 180 divided 3 = 60 mph.

(hope this helps!)

Answer: Choice A) Jada should have multiplied both sides by 108.

Reasoning:

x is a placeholder for some unknown value. We are dividing x by 108 to form the fraction x/108. To isolate x, we need to undo this operation. So we need to multiply both sides by 108. Doing so leads to the solution x = -48.

Answer:

A.S.A congurency.

please mark me brainliest and follow me my friend.

Answer:

part a if that's what you mean

Step-by-step explanation:

Answer: I think it s 8

Step-by-step explanation:

5 + 7 + 5 + 7 = 24 and 24/3 = 8

Answer:

Tina will be able to sell 24 beignets

Answer:

all the angles in a triangle will add to 180

65 + 57 + 2x = 180

subtract the 65 and 57 from both sides

2x = 58

x = 29

D) 29

hope this helps :)

Step-by-step explanation:

Answer: x=29

Step-by-step explanation:

In a triangle, the sum of the measures of all angles is 180 degrees.

Therefore, we can add up all the angles in this triangle, setting them equal to 180:

65+57+2x=180

Using the equation above, solve for x:

Simplify:

122+2x=180

Subtract 122 from both sides:

(122+2x)-122=180-122

Simplify:

2x=58

Divide both sides by 2:

2x/2=58/2

Simplify:

x=29

Answer:

[tex]Area = 6.5 * 10^3cm^2[/tex] or [tex]Area = 6.5E3\ cm^2[/tex]

Step-by-step explanation:

Given

[tex]Width = 1.5 * 10^2cm[/tex]

[tex]Length = 4.3 * 10^1cm[/tex]

Required

Determine the Area

The base area is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = 1.5 * 10^2cm * 4.3 * 10^1 cm[/tex]

Reorder the expression

[tex]Area = 1.5 * 4.3 * 10^1 cm* 10^2cm[/tex]

[tex]Area = 6.45 * 10^1 cm* 10^2cm[/tex]

Apply law of indices

[tex]Area = 6.45 * 10^{1+2}cm^2[/tex]

[tex]Area = 6.45 * 10^3cm^2[/tex]

Approximate

[tex]Area = 6.5 * 10^3cm^2[/tex]

or

[tex]Area = 6.5E3\ cm^2[/tex]