If:
AC=26,
BC=7x + 2, and
AB = 9x + 8
Find BC!

Answers

Answer 1

Answer:

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8  

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16  

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9


Related Questions

Asphere has a diameter of 10 in. What is the volume of the sphere?

Answers

Answer:[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]

Step-by-step explanation: diameter=10 in

radius=[tex]\frac{diameter}{2}[/tex]=[tex]\frac{10}{2}[/tex]=5 in

volume=[tex]\frac{4}{3}[/tex][tex]r^{3}[/tex]

=[tex]\frac{4}{3} X 5^{3}[/tex]  x π =[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]

how do i know this is a rhombus

Answers

Answer: It's not a rhombus

It would be a rhombus if all four sides were the same length, but we don't have that. Side DE is longer than EF, because the opposite angles are larger. We have 75 > 72, so that's why DE > EF.

Can you help me please

Answers

Answer:

x = - 11

Step-by-step explanation:

[tex] \frac{4}{x + 2} = \frac{12}{2x - 5} [/tex]

Cross multiply

That's

4( 2x - 5) = 12( x + 2)

Expand the terms in the bracket

That's

8x - 20 = 12x + 24

Group like terms

8x - 12x = 24 + 20

- 4x = 44

Divide both sides by - 4

We have the final answer as

x = - 11

Hope this helps you

Answer: x = -11

Step-by-step explanation:

First Cross product  to reduce it

4(2x-5) = 12(x+2)   Now apply the distributive property on each sides and solve for x.

8x - 20 = 12x + 24   Add 20 to both sides

     +20           +20

8x = 12x +44        subtract 12x from both sides

-12x    -12x

-4x = 44                  Divide both sides by -4

x = -11  

-x/3 >5 the sign is supposed to be greater than or equal to but I don’t have that option

Answers

Answer:

x ≤ -15

Step-by-step explanation:

-x / 3 ≥ 5

multiply by 3

-x ≥ 15

add x to both sides and subtract 15 from both sides

-15 ≥ x or x ≤ -15

What is the measure of angle VYZ

Answers

Answer:

[tex] \boxed{\sf C. \ 161 ^{ \circ}} [/tex]

Step-by-step explanation:

Opposite angles are also congruent angles, meaning they are equal or have the same measurement.

[tex] \sf \implies \angle VYZ = \angle WYT \\ \\ \sf \implies(8x + 1) ^{ \circ} = (9x - 19)^{ \circ} \\ \\ \sf \implies 8x^{ \circ} + 1^{ \circ} = 9x^{ \circ} - 19^{ \circ} \\ \\ \sf \implies 8x^{ \circ} - 9x^{ \circ} + 1^{ \circ} = - 19^{ \circ} \\ \\ \sf \implies - x^{ \circ} = - 19^{ \circ} - 1^{ \circ} \\ \\ \sf \implies \cancel{ -} x^{ \circ} = \cancel{- }20^{ \circ} \\ \\ \sf \implies x^{ \circ} = 20^{ \circ} [/tex]

[tex] \therefore[/tex]

[tex] \sf \implies \angle VYZ =(8x + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =(8 \times 20 + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =161 ^{ \circ} [/tex]

Whats the common difference? ​

Answers

Answer:  The common difference is  8

Step-by-step explanation:

First Use the formula for the second to generate the first two numbers.

[tex]u_{n}[/tex] = 2^3n-2  

Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.

Which of the following best defines an angle?
O A corner of a figure like a triangle or square
O Any object that has a vertex,
OTwo rays that share a common endpoint
O The point where two line segments intersect​

Answers

Answer:

Third option

Step-by-step explanation:

The first definition is not as broad as it should be, therefore, while an angle does meet that criteria, it's not a general definition, hence, it is incorrect. The second one is incorrect as well because a parabola has a vertex, and it is certainly not an angle. This definition is not specific enough, so it will be eliminated. The last one is again, too specific. The third one is the best answer because it is broad enough while still being specific.

Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop?

Answers

Answer:

Solution : 4 or more times

Step-by-step explanation:

As the inequality is given to us, it makes this a bit simpler.

3t + 10 ≥ 22 ( Subtract 10 on either side )

3t ≥ 12 ( Divide 3 on either side )

t ≥ 12 / 3 ≥ 4

And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.

If f(x) = 4x + 1, find f(3).

Answers

Answer: 13

Replace x with 3. Then simplify

f(x) = 4x+1

f(3) = 4(3)+1

f(3) = 12+1

f(3) = 13

Answer:13

Step-by-step explanation:

You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.

2. Three more than four times a number is 15.

Answers

Answer:

The number is 3

Step-by-step explanation:

Let the number be x

Four times a number = 4 *x = 4x

Three more than four times a number = 4x + 3

4x +3 = 15

Subtract 3 from both sides

4x + 3 - 3 = 15 -3

            4x = 12

Divide both sides by 4

           4x/4x = 12/4

x = 3


Which point could represent 5/3 ?

Answers

Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C:

1 < C < 2

Read more on number line here: brainly.com/question/24644930

#SPJ1

Ella is going to drive from her house to City A without stopping. Ella's house is 100 miles from City A and after driving for 3 hours, she will be 25 miles away from City A. Write an equation for D, in terms of t, representing Ella's distance from City A tt hours after leaving her house.

Answers

Answer:

[tex]d = 100-25t[/tex]

Step-by-step explanation:

Let's use basic logic here.

If we are 100 miles away from a place, and we've got 25 miles to go, we've already travelled 75 miles.

Since we've travelled 75 miles in 3 hours, then we travel at a rate of [tex]75\div3=25[/tex] miles per hour.

The distance to City A will be represented as 100 - miles already travelled. We  can find how many miles have been travelled by multiplying 25 by [tex]t[/tex], the amount of hours we've spent driving.

This creates the equation [tex]d = 100 - 25t[/tex]

Hope this helped!

write an expression
the quantity of 7+x, squared​

Answers

Answer:

[tex]\huge \boxed{(x+7)^2 }[/tex]

Step-by-step explanation:

The quantity x + 7 is squared.

[tex](x+7)^2[/tex]

Expand the brackets and simplify the expression.

[tex](x+7)(x+7)[/tex]

[tex]x(x+7)+7(x+7)[/tex]

[tex]x^2 +7x+7x+49[/tex]

[tex]x^2 +14x+49[/tex]

We can leave the expression in factored form.

Answer:

( X+7 ) ^ 2

Step-by-step explanation:

=X ^ 2+ 2 x 7 x X + 7 ^ 2

= X^2 +14X +49

In a jar there are red jelly beans and green jelly beans. In how many ways can you pick red jelly beans and the same number of green jelly​ beans?

Answers

Complete Question:

In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly​ beans?

Answer:

[tex]Both = 813960[/tex]

Step-by-step explanation:

Given

Red Jelly Beans = 19

Green = 10

Required

Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans

The keyword in the question is pick and this implies combination;

4 from 19 red jelly beans is calculated as follows

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

Where n = 19 and r = 4

[tex]^{19}C_4 = \frac{19!}{(19-4)!4!}[/tex]

[tex]^{19}C_4 = \frac{19!}{15!4!}[/tex]

[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}[/tex]

[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}[/tex]

[tex]^{19}C_4 = \frac{93024}{24}[/tex]

[tex]^{19}C_4 = 3876[/tex]

Similarly;

4 from 10 green jelly beans is calculated as follows

[tex]^{10}C_4 = \frac{10!}{(10-4)!4!}[/tex]

[tex]^{10}C_4 = \frac{10!}{6!4!}[/tex]

[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}[/tex]

[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]

[tex]^{10}C_4 = \frac{5040}{24}[/tex]

[tex]^{10}C_4 = 210[/tex]

Ways of selecting both is calculated as follows

[tex]Both = 3876 * 210[/tex]

[tex]Both = 813960[/tex]

Use dimensional analysis to convert the measurements. A dwarf sea horse swims at a rate of 49.68 feet per hour. Convert this speed to inches per minute. The speed is inches per minute.

Answers

Answer:

9.936in/min

Step-by-step explanation:

Given the rate at which a dwarf sea horse swims expressed as 49.68 feet per hour, to convert the speed to inches per minutes, the following conversion factors must be used.

1 foot = 12inches and 1 hour = 60 minutes

49.68 feet per hour can also be written as [tex]\dfrac{49.68* 1 ft}{1 hour}[/tex]

On conversion:

[tex]= \dfrac{49.68* 1 ft}{1 hour} * \dfrac{1 hour * 12 in}{1 ft * 60min} \\\\= \dfrac{49.68* 12in}{60 min} \\\\= \dfrac{596.16in}{60 min}\\\\= 9.936 in/min[/tex]

Hence the speed expressed in inches per minute is 9.936in/min

-11=r+(-2) I need to solve this problem ​

Answers

Answer: -8=r

Step-by-step explanation:

Answer:

r= -9

Step-by-step explanation:

We are given the equation:

-11 = r+ (-2)

If we want to solve for r, we must isolate r on one side of the equation.

Let's simplify the right side. A + - can just be written as -

-11= r-2

2 is being subtracted from r. The inverse of subtraction is addition. Add 2 to both sides of the equation.

-11 + 2= r-2+2

-11+2=r

-9=r

r=-9

Let's check our solution. Plug -9 in for r and solve.

-11= -9 + (-2)

-11= -11

This checks out, so we know our solution is correct.

The solution to the equation -11=r+(-2) is r=-9

-21+7u=28 solve for u

Answers

Answer:

u = 7

Step-by-step explanation:

-21 + 7u = 28

add 28 to both sides

7u = 49

divide by 7

u = 7

Answer:U=7

Step-by-step explanation:

3.26d+9.75d−2.65 help plzzzzzzz

Answers

Answer: Add  3.26 d  and  9.75 d . 13.01 d − 2.65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

Since you have to simplify it you have to get rid of them so just add 3.26d+9.75 and you get 13.01d and the  minus 2.65

If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. In general, the naturally occurring difference between a sample statistic and the corresponding population parameter is called ____.

Answers

Answer:

Sampling Error

Step-by-step explanation:

We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.

Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.

This is also similar to the definition given in the question.

Thus, it's sampling error!

what is the greatest common fact of 9 and 22

Answers

Answer:

1

Step-by-step explanation:

the greatest common factor of 9 and 22 is 1.

10. Working in the laboratory, a student finds the density of a piece of pure aluminum to be 2.850 g/cm3. The accepted value for the density of aluminum is 2.699 g/cm3. What is the student's percent error? ​

Answers

Answer: 5.6%

Step-by-step explanation:

Actual Value observed=2.850 g/cm3

Expected value=2.699 g/cm3

Error =Actual value - expected value

         = 2.850-2.699

Error  = 0.151

Error percent = [tex]\frac{Error}{Expected Value} 100%[/tex]%

                     =[tex]\frac{0.151}{2.699} *100\\0.056*100\\5.6[/tex]

The student's percent error ​is 5.6%

Put 2.85g and 2.69g in an open bracket over 2.69g. Multiply the answer by 100 to receive a percentage error of 5.95%.

Write the equation of the line in slope-intercept form and identify the slope.
−5x + 10y = 20

Answers

Answer:

Slope = 1/2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

- 5x + 10y = 20

To find the slope we must first write the equation in the form above

- 5x + 10y = 20

Move - 5x to the right side of the equation

10y = 5x + 20

Divide both sides by 10

We have

[tex]y = \frac{5}{10} x + \frac{20}{10} [/tex]

[tex]y = \frac{1}{2} x + 10[/tex]

Comparing with the general form of equation above

Slope / m = 1/2

Hope this helps you

f(x)=15+x ; x=7 evaluating functions

Answers

Answer:

22

Step-by-step explanation:

[tex]f(x)15+x\\\\f(7)15+7\\\\\boxed{f(7)=22}[/tex]

Hope this helps.

One book has 84 pages. Another book has 210 pages. Which is the greatest common
factor of the number of pages in the two books?

Answers

Answer: 12 is the greatest common factor.

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

p=x2-y2÷x2+xy
p equals to x square minus y Square divided by x square + X Y ​

Answers

Answer:

x2-y2?x2+xy=x-y/x

Step-by-step explanation:

as we know , x2-y2=(x+y)(x-y)

and in case of the denominator take x as a common one then we will get

(x+y)(x-y)/x(x+y)

=x-y/x    its the answer

thank u

For what value or values of b is it true that |b| = -b

Answers

Answer:

b =0

Step-by-step explanation:

The only value where  |b| = -b  is when b=0

|0| = -0

0 = 0

Absolute value means non- negative

non-negative = negative

This is only true when we equal zero

Answer: b = 0 or anything negative (like b = -2)

So any value of b such that [tex]b \le 0[/tex]

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

Explanation:

|b| is the distance from b on the number line to 0

The distance is never negative as negative distance does not make sense.

If b was some positive number, then |b| = b. For instance, |7| = 7. This shows 7 is seven units away from 0 on the number line.

----------

If b is negative or zero, then |b| = -b. Why? Because the result of |b| is the opposite of whatever negative b value you put in. For example, b = -2 leads to

|b| = |-2| = 2

while

-b = -(b) = -(-2) = 2

The two negatives cancel each other out to get a positive result.

This shows, |-2| = -(-2) = 2

Meaning that the location -2 is two units away from 0 on the number line.

What's the expression with addition for -7-(-10)?​

Answers

Answer:

3 is your answer

Step-by-step explanation:

-7-(-10)= 3

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

-7-(-10)

Distribute the negative sign.

-7+10

Add the numbers.

3

In a football game, Jim's team gained 7 yards on the first play, lost 2 yards on the second play, and lost 10 yards on the third play. How many total yards did Jim's team gain or lose after three plays?

Answers

Answer:

team loss after three games is 5.

Step-by-step explanation:

we will use positive sign for gain and negative sign for loss.

Given

Jim's team gained 7 yards on the first play

gain of yards = +7

lost 2 yards on the second play

loss of yards = -2

lost 10 yards on the third play

loss of yards = -10

Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)

Total yards gain or lost by Jim's team = +7 -2 -10 = -5

sine sign is negative, it means there is loss and the net loss is 7 yards.

Thus, team loss after three games is 5.


[tex]if \: y = x {e}^{ {x}^{2} } [/tex]
[tex]prove \: that \: \frac{ {d}^{2} y}{ {dx}^{2} } - 2x \frac{dy}{dx} - 4y = 0[/tex]
Good Luck for 50 points!​

Answers

Answer:

Hope it helps!

please mark me brainliest

7n + 8 + 1= -19
How do you solve this

Answers

Answer:

-4

Step-by-step explanation:

firt you add a minus one on both sides:

7n + 8 + 1 + (- 1) = -19 + (- 1) => 7n + 8 = -20

then add a minus eight on both sides:

7n + 8 + (- 8) = -20 + (- 8) => 7n = -28

finally in order to find (n) , devide both sides by seven:

7n ÷ 7 = (- 28) ÷ 7 => [ n = -4 ]

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