If AB = 3x + 5, BC = 2x + 8, and AC = 88, what is the value of x?

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

AB + BC = AB

3x+5  + 2x+8 = 88

Combine like terms

5x +13 = 88

Subtract 13 from each side

5x+13-13 = 88-13

5x = 75

Divide each side by 5

5x/5 = 75/5

x = 15

Answer 2

Answer:

15

Step-by-step explanation:

AB + BC = AB

3x + 5 + 2x + 8 = 88

5x + 13 = 88

5x = 88 - 13

= 75/5

= 15

Hope this helps!


Related Questions

Which graph could represent the price of a fence selling at a unit rate of R dollars per foot?

Answers

Answer:

the middle one is the correct answer

Step-by-step explanation:

Answer:

the answer is (1,R)

Step-by-step explanation:

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)

A) 2x-3
B)3x-3
C)4x+1
D)2x-1

Answers

Answer:

C.

Step-by-step explanation:

what is square foot of -100

Answers

Answer:

10

Step-by-step explanation:

the square root of 100 is 10

√100=10

Answer:  10 + i

thats answer

PLEASE HELP!!!!! PLEASE

Answers

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?

Answers

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

Work out 50 as a presentage of 10

Answers

Answer:

500%

Step-by-step explanation:

10= 100%

50= 5*10= 5*100%= 500%

The second statement is the ___ of the first.

Answers

Answer:Contrapositive

Explanation:

This is for contrapositive negating the converse of the conditional.

Hence,option D is correct.

Hope it helps

Good luck on your assignment

PLEASE HELP ME IM BAD AT GEO! URGENT

Answers

Answer:

SSS

Step-by-step explanation:

Given that the sides are equal and no angles are given

Answer:

A: SSS

Step-by-step explanation:

We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.

What is the value of
* f(-1) when f(x) = 2x + 2?

Answers

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

A ∩ B = ∅. P(B) = .9 P(A ∪ B) = .9. Find P(A).

Answers

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

 

Hope this helps!

:)

What is the least common multiple of 4 and 12?
4
12
24
48

Answers

Answer: 12

Step-by-step explanation: To find the least common multiple or lcm of 4 and 12, begin by listing the first few multiples of each number.

Multiples of 6

1 × 6 = 6

2 × 6 = 12

3 × 6 = 18

Notice that we skipped 0 × 6 in our list of multiples.

That's because 0 × 6 is 0 and our least common multiple can't be 0.

When listing the multiples of 12, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.

Multiples of 12

1 × 12 = 12

Notice that 12 is also a multiple of 6 so our least common multiple is 12.

We can stop here because all other multiples

that we find will be greater than 12.

So the least common multiple or LCM of 4 and 12 is 12.

Answer:

The LCM is 12

3  times 4 = 12 :)

Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)

Answers

-10 is the vertex dueeee

Which expression does not represent "the sum of n and 6"?
O6 + n
On +6
O on

Answers

Answer:

n+6

Step-by-step explanation:

sum means add

n+6

Let the polynomials A = 7x² + 3xy e B = -3xy.
Determine A + B

a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to add up both polynomials together :

A = 7x² + 3xy

B = -3xy

A + B = 7x² + 3xy + (-3xy)

= 7x² + 3xy - 3xy

= 7x²

In one hour, Frank earns the money shown below. How much does he earn in 7 weeks if he works 3 hours each week?

↓↓

$12

↑↑



ITS DUE TODAY HELP PLEASE

Answers

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

What is the relation between the variables in the equation x= -3/y? a. y varies directly as x c. y varies jointly as x b. y varies inversely as x d. none of the above

Answers

Answer:

(b)

Step-by-step explanation:

This is inverse variation.  As y increases (but not allowed to be zero), x decreases.  Thus, (b) is correct:  y varies inversely with x.

The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q,

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  

where, that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then, m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As , increasing one variable will decrease the other variable if both are inversely proportional.

Here the relation between the variables in the equation x= -3/y;

This is inverse variation, As y increases (but not allowed to be zero), x decreases.

Thus, (b) is correct, y varies inversely with x.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Fully Factorise 5k^2+7k​

Answers

Answer:

k(5k +7)

Step-by-step explanation:

The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets

Answer:

5k^2+7k = k(5k+7)

Step-by-step explanation:

5k^2/k = 5k

7k/k = 7

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

Please please help me I literally don’t understand this

Answers

Answer:

n iynoo etindeo soiefijnqaifnqaiwrfofoainjfoiawsfiowoianfqaihjnfoiansn

Step-by-step explanation:

Answer:

AA similarity postulate

Step-by-step explanation:

so if you look at the angle they both have a 90 and the larger triangle is just flipped a different way. because triangles must add up to 180, you have your 90 degree angle on both and the larger one has one degree of 50 meaning its other angle must be 40 in order to add up to 180 and the smaller triangle is the opposite as it has a 40 and 90 degree angle meaning the other must be 50 therefore have Angle Angle similarity

What is the value of the product (3 – 2i)(3 + 2i)?

timed test please help me

Answers

Answer:

the answer is 9-4i

Step-by-step explanation:

multiply

Nsnnsjakaokasjnxnamqmsmx xndkekqkqlq

help me with this pls like omg soooo stressful

Answers

Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Can you show the working out as well please?​

Answers

Answer:

BC = 60

Step-by-step explanation:

3X + X = 80      <---- X = BC

3X + X = 4X

4X = 80   <---- DIVIDE BOTH SIDES BY 4

4X ÷ 4 = X

80 ÷ 4 = 20

20 × 3 = 60

Answer:

AB = 20 m

BC = 60 m

Step-by-step explanation:

Let AB be x

So BC becomes 3x

AC is 80 metres

So,

x+3x = 80

4x = 80

Dividing both sides by 4

x = 20

So,

AB = 20 metres

While

BC = 3(20) = 60 metres

Aubrey is putting flooring in a room that is 13 feet long and 10 feet wide. The flooring costs ​$4.00 per square foot. How much will the flooring for the room​ cost?

Answers

Answer: $520


Explanation: We can tell that this is an area problem from the mention of the square foot and from the simple fact that only area would cover the whole room.

The floor is a rectangle and the formula for area of a rectangle is A=lw.

13*10 is 130.

When you multiply this by 4, you get 520.

slope=m=

please need help, if someone could explain ;)

Answers

Answer:

5/3

Step-by-step explanation:

The line goes through the points (0,0) and (3,5)

m = (y2-y1)/(x2-x1)

   = (5-0)/(3-0)

   = 5/3

You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 . If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C ?

Answers

Answer:

C = 40 + 0.17M

Step-by-step explanation:

Total monthly charge = Fixed base fee + charge per minute*total number of minutes

C = 40 + 0.17*M

C = 40 + 0.17M

a can contains 15/16 pound of vegetables on serving these vegetables weighs 1/4 pound what is the total number of serving of vegetables in the can

Answers

Answer:

3 and 3/16 servings in the can.

Step-by-step explanation:

There are 3 1/4s in 15/16, and there are 3/16 left over.

1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

Answers

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

Solve 7y-6=2y+8
Show that 7/8-5/6=1/24
Show that 5/8÷7/12=1 1/14
Simplify fully v4×v7÷vt

Answers

Answer:

Please check the explanation part for more details.

Step-by-step explanation:

1. Solve [tex]7y - 6= 2y + 8[/tex]

Send all components contain [tex]y[/tex] to the left, the other components to the right:

<=> [tex]7y - 6 = 2y + 8[/tex]

(sign of  [tex]2y[/tex] is changed from negative to positive, sign of [tex]6[/tex] is changed from negative to positive)

<=> [tex]5y = 14[/tex]

Divide both sides of equation by [tex]5[/tex]:

<=> [tex]y = \frac{14}{5}[/tex]

2. Show that  [tex]\frac{7}{8} - \frac{5}{6} =\frac{1}{24}[/tex]

First, we prove that [tex]24[/tex] is least common multiple(LCM) of the denominators of [tex]2[/tex] components on the left side ([tex]8[/tex] and [tex]6[/tex]).

[tex]8 = 2^{3}[/tex]

6 = [tex]2[/tex] x [tex]3[/tex]

=> LCM = [tex]2^{3}[/tex] x [tex]3[/tex] = [tex]8[/tex] x [tex]3[/tex] = [tex]24[/tex]

Multiply the first component [tex]\frac{7}{8}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{8} = 3[/tex]

=> [tex]\frac{7}{8} = \frac{7*3}{8*3} = \frac{21}{24}[/tex]

Multiply the second component [tex]\frac{5}{6}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{6} = 4[/tex]

=>[tex]\frac{5}{6} = \frac{5*4}{6*4} = \frac{20}{24}[/tex]

=>[tex]\frac{7}{8} -\frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}[/tex]

3. Show that [tex]\frac{5}{8} / \frac{7}{12} = \frac{11}{14}[/tex]

[tex]\frac{5}{8} / \frac{7}{12} =[/tex] [tex]\frac{5}{8} * \frac{12}{7} =[/tex] [tex]\frac{60}{56} =\frac{60/4}{56/4} = \frac{15}{14} = 1\frac{1}{14}[/tex]

4. [tex]\frac{v4*v7}{vt} = \frac{v}{v} * \frac{v*4*7}{t} = \frac{v*28}{t}[/tex]

Hope this helps!

:)

Can someone please help

Answers

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

[tex]82 = w + 1[/tex]

Then we would subtract 1 from both sides, then we are left with w:

[tex]w = 81[/tex]

Hope this helps!

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