BD bisects ABC. ABC = 67º and ABD = (3x - 1)º. Find the value of 'x'.​

Answers

Answer 1
ANSWER: x = 11.5

ABD = 1/2(ABC)
ABD = 1/2(67)
ABD = 33.5
ABD = 3x - 1

3x - 1 = 33.5
3x = 34.5
x = 11.5

CHECK:
2(3x - 1) = 67
6x - 2= 67
6(11.5) - 2 = 67
69 - 2 = 67
67 = 67 ✔️

Related Questions

At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?

Answers

Answer: $134.40

Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.

Hi!,
The person who answered above made a mistake and went the wrong way.

Since the pool is already 20% off the price stated is only 80% (100-20=80) of the original price.

So, divide amount by 80.
168/80 = 2.10

Then multiply by 100 to find 100% price
2.10 x 100 = 210

Answer is $210

write a linear function with f with f (5) = -1 and f (0) = -5

Answers

Answer:

5y = 4x-25

Step-by-step explanation:

Let f(x) be regarded as y

So we have two points

(5,-1) and (0,-5)

We start by finding the slope of the line connecting the two points

m = y2-y1/x2-x1

m = -5+1/0-5 = -4/-5 = 4/5

The general equation of a straight line is;

y = mx + b

where m

is slope and b is the y-intercept

we already have the slope as 4/5

So;

y = 4x/5 + b

To get b, substitute one of the points

Let us use (0,-5)

-5 = 4(0)/5 + b

so b = -5

The equation is;

y = 4x/5 - 5

Multiply through by 5

5y = 4x - 25

help plz i rely need help with this question

Answers

b. it will get smaller.

Answer:

It gets smaller which is B

Step-by-step explanation:

multiplying by a number less than 1 will make a fraction smaller like 1/2 (4) which is basilcally asking ou half of 4 which makes the final answer smaller.

Whoever helps gets BRAINLIEST

Answers

275 is the answer your welcome good luck

The answer D. 275

Hope this helps :)

420 presents in 15 hours at this rate how many presents does Santa deliver in 5 hours​

Answers

Answer:31500

Step-by-step explanation:hope it helps!

Answer:

140

Step-by-step explanation:

420/15=28

28x5=140

PLEASE HURRY I WILL MARK BRAINLIEST
A triangle with an area of 646 m2 has a height of 68 m. What is the length of the base of the triangle?
Base = __________

Answers

Answer:

9.5m

Step-by-step explanation:

646÷ 68 = 9.5 m

area ÷ height = base of triangle

solve each system of equation by elimination
{y=-x+1
{y= 4x-14

Answers

Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

Multiply everything by -1:                    -y = -4x + 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Combine equations:                    0 = -5x + 15Isolate x term:                               -15 = -5xIsolate x:                                       3 = xRewrite:                                        x = 3

Step 5: Check

Define equation:                    y = -x + 1Substitute in x:                       y = -3 + 1Add:                                        y = -2

Amber has a dog walking business. she walks a golden retruever 1.8 miles each work day for a week. How many miles does Amber walk the golden retreiver? plz tell me i will give you brainlist

Answers

Answer:

12.6

Step-by-step explanation:

Answer:9 miles

Step-by-step explanation:

5 working daya x 1.8 miles = 9 miles

Step-by-step explanation: 1.8 x  7

What is the answer??

Answers

Answer:

letter C is the right answer

I believe it’s C I don’t know if i’m right tho gudluk haha

Mrs. Taft keeps inventory of the copy paper in the school copier room. Nine weeks ago, there were 150 reams of copy paper in the room. Now, there are 85 reams left. Which of the following two expressions are equivalent to the average weekly change in the number of reams of copy paper in the copier room over this time period?
Choices: -9/65, 9/-65, 65/-9, -65/9 (the negative for this one applies to both numbers.) and -65/-9

Answers

Answer:

-9/65

Step-by-step explanation:

Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth

Answers

Answer:

The cashier is wrong

[tex]Amount = 64.99[/tex]

Step-by-step explanation:

Given

[tex]Jeans=34.95[/tex]

[tex]Shirt = 24.95[/tex]

[tex]Sales\ Tax = 8.5\%[/tex]

Solving (a): Is the Cashier's step correct?

The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.

Solving (b):

First, calculate the total cost by adding the cost of jeans and shirt respectively:

[tex]Total = 34.95 + 24.95[/tex]

[tex]Total = 59.90[/tex]

Next, multiply the sales tax percentage to the total cost to get the sales tax amount.

[tex]Sales\ Tax = 8.50\% * 59.90[/tex]

[tex]Sales\ Tax = 5.0915[/tex]

Add the sales tax to the total, this gives the total payable amount.

[tex]Amount = 59.90 + 5.0915[/tex]

[tex]Amount = 64.9915[/tex]

[tex]Amount = 64.99[/tex] approximated

Solve: |11x + 10| = 22

Answers

To solve the equation |11x + 10| = 22, we need to consider two cases: one where the expression inside the absolute value is positive and one where it is negative.

Case 1: (11x + 10) is positive:

In this case, the equation becomes 11x + 10 = 22. Solving for x, we subtract 10 from both sides, resulting in 11x = 12. Dividing by 11 gives x = 12/11.

Case 2: (11x + 10) is negative:

Here, the equation becomes -(11x + 10) = 22. Simplifying, we have -11x - 10 = 22. Adding 10 to both sides gives -11x = 32. Dividing by -11 yields x = -32/11.

Thus, the solution set for the given equation is x = 12/11 and x = -32/11, representing the two possible values of x that satisfy the equation |11x + 10| = 22.

For more such questions on equation

https://brainly.com/question/22688504

#SPJ11

you
are studying bacteria; the
population originally started with 6000
bacteria. After
28,000 cells.
a.) Find the exponential model (equation)
2 hours,
tiere
were
Cells expected after 4
b.) How
many
hours?
* algebra 2*

Answers

Answer:

I think it's b I hope I help

The force required to stretch a spring by 1 m from its unstretched length is 150 N. What is the force required to stretch the spring by 3 m? 450 N

200 N

600 N

300 N

Answers

Answer:

450 N.

Step-by-step explanation:

By Hooke's law

Force = k * displacement so

150 = k * 1

So k = 150 and the equation is

F = 150 d

So when d = 3

F = 150 * 3 = 450.

Determine the quadrant point

Answers

Answer:

I think b

Step-by-step explanation:

2. Use the distributive property to evaluate the expression.
A) 4(x-2)
B) 3(y+9)
C) -2(3-r)

Answers

Answer:

a) 4x-8

b) 3y + 27

c) -6 + 2r

Step-by-step explanation:

Here, we want to use the distributive property to evaluate the given expressions

Mathematically, the distributive property is;

(a + b) * c = (a * c) + (b * c)

So we use this on each of our questions;

a) 4(x-2)

= (4 * x) - (4 * 2) = 4x-8

b) 3(y + 9)

= (3 * y) + (3 * 9)

= 3y + 27

c) -2(3-r)

= (-2 * 3) - (-2 * r)

= -6 + 2r

Determine the intercepts of the line

Answers

Answer:

Step-by-step explanation:

y-intercept: (0 , 2.5)

x-intercept: (3.5 , 0)

The clock below shows what time mason mom drops him off for practice . what time did mason mom drop him off

Answers

Answer:

where is the clock?

Step-by-step explanation:

The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the shortest leg and the hypotenuse of the triangle.

Answers

Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

Can you please help
Plzzzzzz

Answers

a fraction is a numerator over a denominator
a mixed number is a whole number and a fraction
an improper fraction is when the numerator is greater than the denominator

2. If f(x) = 2(x - 3)2 find f(-8).

Answers

Answer:

-44

Step-by-step explanation:

Which statement can help build a person’s self-esteem? A. I am really proud of you B. You really disappointed me with your presentation. C. You should strive to do better next time. D. Your work was lacking and uninspiring.

Answers

Answer:

A. I am really proud of you

Step-by-step explanation:

a number that can be writtin as a fraction oftwo integers is called a ....

Answers

Answer:

x

Step-by-step explanation:

Answer:

a rational number

Step-by-step explanation:

A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Represent this situation with a fraction.

a. Represent this situation using the same units.

b. Estimate the quotient.

c. Express the divisor as a whole number.

d. Use the division algorithm to find the quotient.

e. Use multiplication to check your work

Answers

Answer:

The correct answers are:

a) 3625.26 miles OVER 6.9 miles

b) 36252.6 tenths miles÷ 69 tenths hours

c) 3500 miles over 7 hours = 500 miles over hours

d) 3625.26 miles 10 over 6.9 hours 10 = 36252.6 miles over 69 hours

e) 525.4 miles/h

Step-by-step explanation:

Brainliest please?

Let r = unit rate of the plane

r = (3,625.26 miles)/(6.9 hours)

You now have the correct fraction set up to answer a through e.

Take it from here.

What is the area of the bedroom ?

Answers

Answer:

what bedroom...............?

Answer:

[tex]95ft^2[/tex]

Step-by-step explanation:

We need to multiply 10 feet by 9 feet 6 inches.

6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.

Multiply 10 by 9.5.

(10)(9.5) = 95

Therefore the answer is 95ft squared.

Hope this helps!!

- Kay :)

The lunch special at a diner offers you a choice of 5 sandwiches, 2 salads, 3 soups, 6 drinks, and 2 desserts. How many different meals are possible if you choose one item from each category?

Answers

Answer:

360

Step-by-step explanation:

there are 360 different meal combos possible if you choose 1 of each because 5×2×3×6×2 is 360

Mrs. stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. how old is Mrs. stone now, if 9 years ago Alex was two times older than Joyce?

Answers

Answer:

54

Step-by-step explanation:

RSM homework lol

made equation, then solved it.

hope this helps!

What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters

Answers

Answer:

523.33 cm³

Step-by-step explanation:

The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π * (5)³

[tex]\frac{4}{3}[/tex]π * 125

523.333 mm³

Eva paid $16 for some notebooks and a backpack . She paid $1.25 for 5 notebooks.how much did she pay for her backpack ?write the equation

Answers

Answer:

10 dollars ALSO CAN SOMEONE PLEASE ANSWER MY QUESTION

Step-by-step explanation:

1.25 times 5=6

16-6=10

Answer:

$9.75

Step-by-step explanation:

Notebooks - $1.25 each

Number of notebooks bought - 5

Total money spent - $16

5 * 1.25 = 6.25

16 - 6.25 = 9.75

$9.75

A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –

Answers

Answer: D.5 and 2

because (-3;5) is a solution to the system of equations

[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]

Step-by-step explanation:

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