find the values of a,b,c

Answ

yes

Step-by-step explanation:

Answer:??

Step-by-step explanation: How do I use this app??

Answer:

ANSWER

GIVEN:

OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1

AO/OC = BO/OD

[The diagonals of a Trapezium divide each other proportionally]

(3x-1)/(5x-3) =( 2x+1)/(6x-5)

(3x-1) (6x-5) = (5x-3) ( 2x+1)

3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)

18x² -15x -6x +5 = 10x² -6x +5x -3

18x² -21x +5 = 10x² - x -3

18x² -10x² -21x + x +5+3 =0

8x² - 20x +8= 0

4(2x² -5x +2) = 0

2x² -5x +2 = 0

2x² -4x -x +2= 0

[By factorization]

2x(x-2) -1(x-2)= 0

(2x-1) (x-2) = 0

(2x-1) = 0 or (x-2) = 0

x = ½ or x = 2

If we put x= ½ in OD , The value of OD is negative.

Hence, the value of is x = 2.

Step-by-step explanation:

1 =29 and 2=44...............

Answer:

translate (x,y) (x-5,y+8)

Answer:

Slope=M=y2-y1/X2-X1=

-1 -2 /4-0=

-3/4  =

-0.75

Step-by-step explanation:

Hope this helped!!!!

Answer:

y=(-3/4)+2

Step-by-step explanation:

Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula

Firstly, lets solve for the slope by finding the change in y over the change in x:

slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]

We will plug in the values of the points given and find that:

slope (m)= [tex]\frac{-1-2}{4-0}[/tex]

this equals (-3/4)

from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).

Point-slope equation:

[tex]y-y1=m(x-x1)[/tex]

Plugging in values:

[tex]y-2=(\frac{-3}{4})(x-0)[/tex]

after isolating y we find that the equation is:

[tex]y=\frac{-3}{4} x+2[/tex]

Hope this helps!

-HM

Answer:

29.) y = -1.5x - 20

30.) y = 6 - 3x

Step-by-step explanation:

29.) For parallel lines; M1 = M2

put the equation in the form y = mx + c

the equation becomes 2y = 14 - 3x

therefore y = 7 - 1.5x.

For the points, introduce another point; (x,y) and the initial (-6,-11)

(y - - 11) ÷ ( x - - 6) = -1.5

y+11 = -1.5x - 9

y= -1.5x - 20

30.) still following the same procedure, only that M1 × M2 = -1

M1 = 1/3, M2 = -3

(y + 9)/(x - 5) = -3

y + 9 = 15 - 3x

y = 6 - 3x

Answer:

50 grams

Step-by-step explanation:

36 grams = 72%

→ Find 1% by dividing both sides by 72

0.5 grams = 1%

→ Times both sides by 100 to find 100%

50 grams = 100%

Step-by-step explanation:

Multiply 32 by 72 to get thw mass.

Answer:

D. 3

Step-by-step explanation:

3x−2y=−6

solve for y

-2y=-3x-6

y= 3/2x+3

y=mx+b

b= y intercept --> b = 3

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

Work Shown:

Use the compound interest formula

A = P*(1+r/n)^(n*t)

A = 10000(1+0.039/1)^(1*4)

A = 11,653.65589441

A = 11,653.66

That's the amount of money Tammy will have at the end of 4 years.

Subtract off the principal from this value to get the interest.

interest = A - P

interest = 11,653.66 - 10,000

interest = 1,653.66

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

Learn more about the alternate interior angles:

https://brainly.com/question/28380652

#SPJ2

Answer:

B

Step-by-step explanation:

0.4 x 16.8 or 40% off of 16.80 is 12

Answer:

g=12/7

Step-by-step explanation:

Answer:

According to me all the options are correct

Answer:

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

Answer:

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

Answer:

$537.60

Step-by-step explanation:

Xochitl has saved $201.60.

Yamka has saved 2/3 the amount Xochitl saved.

The amount Yamka has saved us calculated as:

2/3 × $201.60

= $134.40

Zack has saved 1.5 times the amount Yamka saved.

The amount Zack has saved is

1.5 × $134.40

= $201.60

How much have they saved all together?

This is calculated as:

$201.60 + $134.40 + $201.60

= $537.60

Answer:

477

Step-by-step explanation:

:)

Answer: The probability of selecting a mint 1/6

Step-by-step explanation:

the jar contains 30 different candies

out of the 30, 5 are mints

5/30 = 1/6

Answer:

2

Step-by-step explanation:

-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

The converse which would serve as prove that l is parallel to m are given in the answers below:

Considering the information in the given diagrams:

1. Yes, l is parallel to m.

The converse is: "If corresponding angles are equal, then  l is parallel to m".  One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].

Thus, l || m.

2. Yes, l is parallel to m.

The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".

So then, l || m.

3. Yes, l is parallel to m.

The converse is: "if two corresponding angles are right angles, then they are congruent".

Therefore, l || m.

4. Yes, l is parallel to m.

The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".

Therefore, l || m.

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Answer:

Unit Price at Grocery Mart = $1.50

Unit Price at Baldwin Hills = $1.33

Step-by-step explanation:

Unit price in this case will be the price divided by number of pounds

Let u1 be the unit price of Grocery Mart and u2 be the unit price at Baldwin Hills

Given

[tex]s_1 = 2.99\\w_1 = 2\\s_2 = 3.99\\w_2 = 3[/tex]

The unit price for Grocery Mart is:

[tex]u_1 = \frac{s_1}{w_1}\\= \frac{2.99}{2}\\= 1.495[/tex]

Rounding off to nearest penny

u1 = $1.50 per lbs

Unit price for Baldwin Hills is:

[tex]u_2 = \frac{s_2}{w_2}\\=\frac{3.99}{3}\\=1.33[/tex]

u2  = $1.33 per lbs

Hence,

Unit Price at Grocery Mart = $1.50

Unit Price at Baldwin Hills = $1.33

Answer:

a.  -0.01 < x - 8 < 0.01

b.  7.99 < x < 8.01

c.  see attachment

d. Bolt has to be greater than 7.99 mm and less than 8.01 mm to be within the margin of error of 0.01 mm.

Step-by-step explanation:

-0.01 < x - 8 < 0.01

-0.01 < x - 8   and   x - 8 < 0.01

7.99 < x                     x < 8.01

Write this as:   7.99 < x < 8.01

On graph the 7.99 and 8.01 are very near to each other and represented via open red circle.

Answer:

b. is 7.99 < x < 8.01

Step-by-step explanation:

Sorry, I don't know the other parts.

Answer:

11025

Step-by-step explanation:

100+5÷100=1.05 squared

10000x1.05squared=11025

Answer:

Amount = 11205

CI = 1205

Step-by-step explanation:

[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]

Here,

p = 10000

r = 5% = 5/100 = 0.05

n = 1

t = 2

[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]

[tex]a = 10000(1.05) {}^{2} [/tex]

[tex]a = 10000(1.1025)[/tex]

[tex]a = 11205[/tex]

C.I = a - p

C.I = 11205 - 10000

C.I = 1205

To find the equation of the parabola, first let's write the parent function,

y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:

y= x^2 +4

Answer:

price per ounce: $4.48

Step-by-step explanation:

divide 40.32 by 9

Answer:

0.28

Step-by-step explanation:

9 pound = 144 ounce

40.32 / 144 = 0.28