Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

Given Triangle DEF Where D = (7b +1), E = (2b + 1), And F = ( B + 8). What Is The Measure Of E?

Answers

Answer 1
Answer:  35 (choice C)

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

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.


Related Questions

What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.

Answers

Answer:

24 is divisible 6 but not 18.

Step-by-step explanation:

The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.

The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n

The number n is divisible by 6

And , the number will be divisible by 18 when it is divisible by 6

Substitute the value of n = { 24 , 30 }

The number n = 24 is divisible by 6 but not divisible by 18

And , The number n = 30 is divisible by 6 but not divisible by 18

Hence , the expression is not valid

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

John is 10 years younger than james . In 5 years time James will be twice as old as John 1. How old is John 2. what was their total age 3 years ago​

Answers

Answer:

John is 5 nowtotal age 3 years ago was 14

Step-by-step explanation:

When James is twice as old as John, the difference in their ages will be John's age: 10. That is 5 years from now, so John's age now is 10 -5 = 5.

John is 5 years old.

__

3 years ago, John was 2 and James was 12. Their total age at that time was 14.

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay

Answers

To find this answer we have to do these steps below

1. Find the amount of money that LaShawn earns in an Hour

We have to do 60/8 which is 7.5

LaShawn earns 7.5 dollars in an hour

2. Multiply 7.5 by 35

The answer to that is 262.5 dollars

Therefore the answer is 262.5 dollars

I hope this helped, if it's wrong, blame me

Ps. Brailents would help a LOT

8. Determine the slope of each line,

f(x) = 3x + 6

Answers

Answer:

3

Step-by-step explanation:

Pick 2 x values to plug in:

x  = 0:        3(0)+6 = 6

x = 2:         3(2)+6 = 12

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

slope = (12 - 6) / (2 - 0)

slope = 6 / 2

slope = 3

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2

Answers

Answer:

The slope is 2/4 or 1/2

Step-by-step explanation:

please help anybody hm​

Answers

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

The reason that it’s one and not zero is because your multiplying the number by itself 0 times and that means you’re not multiplying by anything at all.

HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?

Answers

Answer:

Minneapolis

Step-by-step explanation:

Jim is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?

Answers

Answer:

It is 2.5 hours.

Step-by-step explanation:

tASAP HELP + 50 POINTS
Find the value of x. Show all the work

Answers

Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

2x=14x=14/2x=7

Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/5 and passes through (-4,-3)?
A.X=-4
B.X=-3
C. y=-5
D. y=-3

Answers

Step-by-step explanation:

The answer is b for sure.

Can you help me explain

Answers

Answer:

6, 60, 0.6, 600 are the answers

the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some

Step-by-step explanation:

In a relation y = 2t + 1, what is the value of y if t = 7

Answers

Answer:

If t = 7, y = 16

Step-by-step explanation:

y = 2t + 1

y = 2(7) + 1

y = 14 + 1

y = 15

I need help I have a test...!
Find the value of x in the figure:

Answers

Answer:

In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°

Step-by-step explanation:

I need help lololololololololololololololol

Answers

Answer:

bestie so do i

Step-by-step explanation:

write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!

Answers

Answer:

x≤19

Step-by-step explanation:

because its everything to the left of 19 including 19

Answer:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

Step-by-step explanation:

Given the inequality graphed on a number line, where there is a closed circle on 19:

A closed circle represents the endpoint as part of the solution.  Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.

Therefore, the inequality represented on the number line is:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

I need help, could someone please explain this.
Find the polynomial function in standard form that has the zeros listed. 1-2i and 1 + 2 i​

Answers

Answer:

  y = x² -2x +5

Step-by-step explanation:

When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.

__

  y = (x -(1 -2i))(x -(1 +2i))

  y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)

  y = x² -2x +5

_____

Additional comments

i is the imaginary number √(-1), so i² = -1.

The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)

The expression for the product of the factors is simplified using the factoring for the difference of squares:

  (a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i

please help me Simplify (4m3)2.

Answers

Answer:The simplified form of (4m3)2 is 24m.Step-by-step explanation:(4m3)2=> 4 x m x 3 x 2=> 24mConclusion:

Therefore, the simplified form of (4m3)2 is 24m.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Solve for C: 20 (greater than or equal too sign) C-11

Answers

Answer:

C (is greater than it equal to) 31

Step-by-step explanation:

Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33

Solve the equation.
7- 3n = 11n+ 2

Answers

if ur solving for n then its -2
n=-1/4
3n-11n=11n+2-11n

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​

Answers

Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

Orbit = 406 200 000             km

d = 406 200 000

s = speed = 65000 km / hr

t = time = d / s

t = 406,000,000 / 65000

t = 6280 hours.

1 day = 24 hours.

t = 6280 / 24 = 261.67 days

PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE

Answers

The answer is option 1.

The line has y-intercept of –3, meaning the line passes through the y axis at –3, to which only option 1 has the line passing through –3.

You can also see that the gradient of that line in option 1 is 1/2, using the rise/run method and can see that the line is positive as it moves in the / direction.

Find the area of the semicircle.
Either enter an exact answer in terms of pi or use 3.14 for IT and enter your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

semi circle: pi(r^2)/ 2

r=3

AREA: 14.14

How many 4th cups of flour are in 3 3/4 cups

Answers

Answer: 12 cups

Step-by-step explanation:

The points (-1,-4) and (-2, -8) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions,

Answers

Answer:

y = 4x

Step-by-step explanation:

The point slope form is:

y − y1 = m(x − x1)

We are given (x,y) and (x1,y1), so put those into the equation first:

(-4-(-8)) = m(-1 -(-2))

4 = m*( 1)

m = 4

The equation is y = 4x.  It goes through the origin, (0,0), so the y-intercept is 0.

find the sides marked with letters

Also explain how to solve it ​

Answers

Answer:

m = 10

Step-by-step explanation:

The triangles are similar. The scale factor is 15/9.

We multiply 6 by the scale factor and get m:

m = 6 * 15/9 = 10

Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.

a = 16,6 (circa)

Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?

Answers

Answer:

aq lang to Yung d na binalikan Yung iniwan na parang basura

Round 68,533 to the nearest hundred.

Answers

Answer:

68,500

Step-by-step explanation:

68,533 <- Hundreds place is underlined

[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.

[] In this case it is a 3, so we keep it the same. We get an answer of 68,500

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update  my answer accordingly. (ノ^∇^)

- Heather

The answer is:

68,500

Explanation:

When counting, the digit 5 is in the hundredth place in the entire number.

For example:

$500 (five hundred dollars)
$6,500 (six thousand, five hundred dollars).

Therefore, whatever comes after the number 5 would become a zero.

Don’t answer just for points please~ I need help and I’m struggling lol

Answers

Answer: 50

Step-by-step explanation:

5x + 55 = 2x + 100

5x = 2x + 45

3x = 45

x = 15

y equals angle 2

180 = 5(15) + 55 + y

180 = 75 + 55 + y

180 = 130 + y

50 = y

angle is 50

Answer:m∠2 = 50°Step-by-step explanation:

We know that:

=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100

Because of 180° angle formula.

First, let's solve for x. Then we will solve m∠2.

=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15

Since we have found x, it is time to find m∠2.

=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:

Therefore, the measure of m∠2 is 50°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)

Answers

Answer:

Give me some hint please

Answer:

2. d) L = 10, W = 20

3. c) P = 100

Step-by-step explanation:

2. 2L + W = 40

W = 40 - 2L

A = L x W

= L (40 - 2L)

= 2L^2 + 40L

=-2 (L^2 - 20L)

= -2 (L^2 - 20^2 + 100 - 100)

= -2 (L^2 - 20L + 100) +200

= -2 (L - 10)^2 +200

L = 10

W = 40 - 2(10

=20

3. c. P = 2(L + W)

= 2(49 + 1)

= 100

a. P = 53

b. P = 32.5

d. P = 28

Asap?


Robert wrote two patterns. Pattern 1 started at 2 and followed the rule "add 4." Pattern 2 started at 1 and followed the rule "add 3." Pattern 1 is represented by x-coordinates, and Pattern 2 is represented by y-coordinates. Which table shows the ordered pairs for these two patterns?


X Y
1 2
4 6
8 10
12 14

X Y
2 1
6 4
10 7
14 10

X Y
1 2
2 6
3 10
4 14

X Y
2 1
4 4
6 7
8 10

Answers

Answer:

the 2nd one lol

Step-by-step explanation:

Answer:

number 2ᕙ(@°▽°@)ᕗStep-by-step explanation:

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