∆CDE is an isosceles triangle with CD ≅ DE . If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find x

Points scored by Adam, Bethany and Charles are 25, 17 and 30 respectively.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Adam scored 8 more points than Charles,

And Bethany scored 5 more points than Adam.

Also, total score is 72.

Let points scored by Adam is x,

Then point scored by Charles = x-8,

And point scored by Bethany = x+5.

Since, total score = 72

x + x-8 + x+5 = 72

3x - 3 = 72

3x = 75

x = 25

Points scored by Adam is x = 25,

Point scored by Charles = x-8 = 17,

And point scored by Bethany = x+5 = 30.

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Answer:

C. y = -2/3x -2

Step-by-step explanation:

We know the slope is negative. You can find slope using rise/run. The y-intercept is -2 because the line meets -2 at the y-intercept.    

Answer:

The first answer (top)

Step-by-step explanation:

Standard form is ax+by=c

a and b are the coefficients

Take a point from the given line

I chose (0, -2)

Then, plug in the values of x and y

2*0+3*-2=-6

-6=-6

Since it works the standard form of the line is 2x+3y=-6

Answer:

Calories from both fat and carbohydrates = 900 calories/day

Step-by-step explanation:

Number of calories eaten by Sandra per day = 2000 calories/day

Calories from fat = [tex]\frac{1}{4}[/tex] of the total number of calories per day

OR

Calories from fat = [tex]\frac{1}{4}\times 2000 = 500\ calories/day[/tex]

Calories from carbohydrates = [tex]\frac{1}{5}[/tex] of the total number of calories per day

OR

Calories from carbohydrates = [tex]\frac{1}{5}\times 2000 = 400\ calories/day[/tex]

To find the total number of calories from both fat and carbohydrates, we need to add the calories from fat and calories from carbohydrates as calculated above.

Calories from both fat and carbohydrates = Calories from fat + Calories from carbohydrates = 500 + 400 = 900 calories/day

Step-by-step explanation:

x/y=constant

12/4=3

x/1=3

x=3

Here, if x varies directly as y. When y=1, then x=3.

Given that, x varies directly as y.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

If x= 12 when y= 4

Here, x varies directly as y is x∝y

⇒ x=ky

⇒ 12=k(4)

⇒ k=3

So, x=3y

When y=1, we have

x=3(1)

⇒ x=3

Here, if x varies directly as y. When y=1, then x=3.

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Answer:

B) 17

Step-by-step explanation:

3 (12 - 8) + 5

(3 x 12) - (3 x 8) + 5

(36 - 24) + 5

12 + 5

17

Answer:

the answer is A

Step-by-step explanation:

A = 4/3x-5

Answer:

Step-by-step explanation:

B

Answer:

It is <uvx and <WVS..........

Answer:

<uvx and <wvs

Step-by-step explanation:

Other vertical angles include:

<xvw and <uvs

<vst and <rsq

<rsv and <qst

Vertical angles are angles that are on opposite sides of eachother and are equal to eachother.

12 is its average rate of change from x = 2 to x = 10.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given the function defined by y = x^2

now,

its average rate of change from x = 2 to x = 10,=

=10^2-2^2/10-2

=100-4/8

96/8

=12

Hence, 12 is its average rate of change from x = 2 to x = 10.

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9514 1404 393

Answer:

  see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

__

Your specific question asks for h(0):

  h(0) = -|0 +2| +1 = -2 +1

  h(0) = -1

You may want to check your other table values.

Answer:

-5x -12

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

27/70

Step-by-step explanation:

This is simple: First, you multiply the numerators. 3x9 is 27. That is the numerator to your answer.

Next, you multiply the denominators. 7x10 is 70. That's the denominator to the answer.

Put them together and you get 27/70.

Hope I helped!!!

Answer:

14.98

Step-by-step explanation:

1

8.78

6.20

---------

14.98

Answer:

14.98

Step-by-step explanation:

8.78

+6.2

--------

14.98

you want to imagine 6.2 like 6.20

so...

8.78

+6.20

----------

14.98

the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98

hope this helps :)

Answer:

y = 6

Step-by-step explanation:

2(y - 3) = y

2y - 6 = y

y = 6

Hope that works out :)

Answer:

A. (3/4) : (1/8)

Travis must add 6 cups of sugar to maintain the ratio.

B. Travis must multiply the ratio of all other ingredients by 8.

C. (3/8) : (1/8)

Travis must add 3 cups of blueberries to maintain the ratio.

Step-by-step explanation:

A.

3/4 * 8

24/4

6 cups of sugar to maintain the same ratio.

B. 1/8 turned into 1 so that means it was multiplied by 8

C. 3/8 are blueberries and 1/8 is butter

(3/8) * 8

3

This took a long time to do... reward?

Answer:

B

Step-by-step explanation:

Don't know how to type those here so see attachment

Answer:

x = √29

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 2^2 = c^2

25 + 4 = c^2

29 = c^2

√29 = √c^2

√29 = c

x = √29

Answer:

1.3

Step-by-step explanation:

Just divide the top by the bottom.

Answer:

1.3

Step-by-step explanation:

If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.

Answer: 65°

Step-by-step explanation: We are assuming that these lines are ║.

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since x and 65 lie on alternate side of the transversal and

on the interior of the two lines, we know that x = 65.

Answer: Perpendicular

Step-by-step explanation: Took the quiz :)

Answer:

T=-11

Step-by-step explanation:

y2-y1/x2-x1

=t-(-1)/9-10

=t+1/9-10

=t+1/-1

=-11+1/1

=-10/1

=-10

Hope this helps :)

Answer:

320

Step-by-step explanation:

i hop it work

Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Step-by-step explanation:

Answer-

the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Answer:

yes

Step-by-step explanation:

yes yes yes yes yes teehee

Answer:

D. About 2700 in^2

Step-by-step explanation:

The area of a circle A = πd²/4 where d = diameter of circle.

A/d² = π/4 = k the proportionality constant.

So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.

So, we have

A₁/d₁² = A₂/d₂²

A₂ = A₁d₂²/d₁²

A₂ = A₁(d₂/d₁)²

substituting the values of the variables, we have

A₂ = 300 in²(60 in/20 in)²

A₂ = 300 in²(3)²

A₂ = 300 in²(9)

A₂ = 2700 in²

So, the area of circle B is about 2700 in²

Answer:

7.15 times 5 plus 5.75=$41.5

Step-by-step explanation:

Answer:

$41.50

Step-by-step explanation:

Answer:

where is the equation? And I will help.

Step-by-step explanation:

Answer:

i cant answer if there is no problome

Step-by-step explanation:

hi

5 for  49  means    : 49/5   =  9+4/5 = 9.80 each

8 for  59.50   means     59.50/8 ≈  7.44

second offer is the best deal

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

Answer:

What do you need done?

Step-by-step explanation:

Given :

Liam has a bag of b beads.

He gives 20 beads to his sister.

He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.

To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads  is :

[tex]N=\dfrac{b-20}{4}[/tex]

Hence, this is the required solution.