+In the figure below, if m<1 = (x + 16) and m The < sign is angle

Mathematics High School

+
In the figure below, if m<1 = (x + 16)° and m The < sign is angle

Answers

Answer 1

Answer:

Step-by-step explanation:

∠1 + ∠BFE = 180 {linear pair}

x + 16 + 3x + 20 = 180

x + 3x + 16 + 20 = 180 {Combine like terms}

4x + 36 = 180

Subtract 36 from both sides

4x = 180 - 36

4x = 144

Divide both sides by 4

x = 144/4

x = 36

Related Questions

A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know

Answers

Answer:

1/5

Step-by-step explanation:

For every bird in the store there will be 5 fish.

Because there is 5 times more fish then birds.

Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5

Given the Parameters :

Number of birds = 15 Number of fishes = 75

Ratio of the number of birds to fish can be expressed thus :

Number of birds : Number of fishes

15 : 75

Divide both sides by 15

1 : 5

Hence, the ratio of birds to fish is 1/5

Learn more : https://brainly.com/question/18796573

If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?

Answers

Answer:

3 is the correct answer tbyvcrdgevzc

A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
1. 3/5
2. 3/7
3. 7/12
4. 7/20

Answers

Answer:

15/25 which simplifies to 3/5 which is the first answer

Step-by-step explanation:

What is the square root of 74 rounded to the nearest tenth

Answers

The square root of 74 rounded to the nearest tenth is gotten as; 8.6

How to find the Square root of a number?

We want to find the square root of 74.

This square root of 74 is expressed as;

√74

Now, the value of that square root is;

√74 = 8.6023

Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6

Read more about square root at; https://brainly.com/question/98314

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if a×b÷2=a÷2 then b =

Answers

if a×b÷2=a÷2 then b = 1

Are these functions or not functions?

Answers

Function my boy ya diididiidiidiiddiidididididiidididididiidididi

What theorem can be used to prove
these triangles are congruent?
ASA
SAA
neither

Answers

ASA is the theorem i think

ASA- 2 pairs of congruent angles and I pair of congruent sides but is NOT located between the pairs of angles

Which sets are NOT closed under subtraction? Choose all that apply.

-Odd numbers
-Integers
-Prime numbers
-Natural numbers
-Irrational numbers
-Even numbers

Answers

neither all can be substrates

Which of these is a healthy coping strategy for stress?

A
Writing your thoughts in a journal

B
Not sharing your emotions with anyone

C
Stopping your exercise routine

D
Working very hard without breaks

Answers

Answer:

writing your thoughts in journal

-7 + - 20 please help me i really don't understand

Answers

Answer:

-27

Step-by-step explanation:

-7 + - 20

let's not forget that a + and a - is equal to a - therefore all the question really says is ...

-7-20

which is now easier to do and is equal to

= -27

Hope this helped you, have a good day bro cya)

Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.

Answers

Answer:

30.959144 inches^3

Step-by-step explanation:

Voume of cube =l^3

Here, l=3.14, so

V=3.14^3

30.959144 ^3

Answer:

V= a^3 or for one edge it’s really

V ~ 30.96

Step-by-step explanation:

Suppose y varies directly as x, if y = 15 when x = 12, find x when y = 21.

Answers

Answer: x = 26

Answer:

16.8

Step-by-step explanation:

we have to do Unitary method.

when y=15 then x=12

when y=1 the x=12/15

when y=21 then x=(12*21)/15

x=16.8

A line passes through the points (-6, -8) and (-3,-7).

What is the equation of the line in Slope-Intercept Form?

A)y=1/3x-6

B) y=3x-6

C)y=1/3x+6

D) y=3x+6

Answers

Answer: A) y = ¹/₃ x - 6

Step-by-step explanation:

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))

= -1 ÷ (-3)

= ¹/₃

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - (-7) = ¹/₃ (x - (-3))

we could also transform this into the slope-intercept form ( y = mx + c)

since y + 7 = ¹/₃ (x + 3)

⇒ y + 7 = ¹/₃ x + 1

∴ y = ¹/₃ x - 6

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Which box plot represents a set of data that has the greatest mean absolute deviation?

A box-and-whisker plot. The whiskers have a range of 9 units, and the box has a range of 6 units.
A box-and-whisker plot. The whiskers have a range of 10 units, and the box has a range of 2 units.
A box-and-whisker plot. The whiskers have a range of 6 units, and the box has a range of 2 units.

Answers

Answer:

Step-by-step explanation: i took the test and pasted

Answer

Graph 2

Step-by-step explanation:

Write an expression for each of the following:

a. the sum of 6 and z

b. the difference between 20 and x

c. 8 less than the quotient of x divided by 6

d. x increased by 5 divided by 4

Answers

Answer:

6 + z

20 - x

x/6 - 8

5x/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a.6+z

b.22-x

c.8-x÷6

d.x+15÷4

Can someone help me with this?!

Answers

Answer:

1) measure angle T= 72, measure angle U=54

2)measure angle M=76, measure angle N=76

3)EF= 18 inches, measure angle F=134

4)measure angle P,Q,R= 60

Step-by-step explanation:

X-9/-4=7 what is the value of x?

Answers

Answer:

X= 19/4

Step-by-step explanation:

Answer:

4,75

Step-by-step explanation:

x-9:(-4)=7

-9:(-4) = +2,25

x+2,25=7 / -2,25

x= 7-2,25

x= 4,75

1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.

Answers

Answer: 1(a) $120

(ii a) $34

Step-by-step explanation:

21-19 = 2

$6/2=3

21x 3( one ratio =$3) =63

19x3 = 57

63+57=120 - (1 A ans)

(ii a) 40x0.15 (percentage decrease)= 6

40-6 = $34

The total amount of money shared by Yasmin and Zak is $120.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(i) The given ratio is 21:19

Let Zak be having $x, the Yasmin will be having $(x+6).

Now, 21/19 = x+6/x

21x=19x+114

2x=114

x= $57

So, x+6= 57+6 = 63$

Total 63+57=$120

(ii) Given that, Yasmin buys a blouse with an original price of $40.

In a sale, all prices are reduced by 15%.

Now, 15% of 40

= 15/100 ×40

= 0.15×40

= 6

New cost =40-6

= $34

Therefore, the sale price of the Yasmin's blouse is $34.

To learn more about the ratio visit:

brainly.com/question/13419413.

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Find the percent decrease. Round to the nearest percent.

From 99°F to 72°F

Answers

Answer:

Step-by-step explanation:

71.28

The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP

1. 2. 5. 10. Euro

2. ? ? ? US dollars

Answers

Answer:

$2, $4, $10, $20

Step-by-step explanation:

1*2=2

2*2=4

5*2=10

10*2=20

Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same amount. If he paid a total of $40, how much did each of his mom's gifts cost?
What is the value of p in the equation?
25 + 3p = 40

Answers

1) 40-25= 15
2) 15/3=5
3) each gift costs $5

Then to check:
1) 5x3=15
2) 25+15=40
Therefore p=5

Answer:

Step-by-step explanation:

what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form

Answers

Answer:

Step-by-step explanation:

By Pythagoras:

d^2 = (3.5)^2 + (4.5)^2

d^2 = 12.25 + 20.25 = 32.5

d = √32.5

Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)

Answers

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

4a+3=40 help please!!!!

Answers

4a + 3 = 40

---Subtract 3 from both sides

4a = 37

---Divide both sides by 4

a = 37/4 = 9 1/4 = 9.25

Hope this helps!! :)

Answer:a= 9 1/4 as a mixed number

Improper: 37/4

Move all terms that don't contain a to the right side and solve.

Two more than a number is the same as 16 decreased by 6 times the number. Find the number.

Answers

Answer:

X+2=16-6x

X=14-6x

Add 6x on both sides.

7x=14

Divide both sides by 7.

X=2

Find the Value of X given the following

Answers

Answer:

Step-by-step explanation:

2(x+9)+142=180 corresponding angles are equal and angles on a straight line=180

2(x+9)=180-142

x+9=38/2

x=19-9

x=10

Mrs. Shultz went to New York to do her Christmas shopping. She took a cab to go into the city and they charged her a flat fee of $6 plus $2 for every mile. Mrs. Shultz ended up paying the cab driver $30. How many miles did Mrs. Shultz travel?

Answers

Answer:

12 miles

Step-by-step explanation:

30-6=24

24/2=12 miles

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)

Answers

9514 1404 393

Answer:

0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

Part A:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

0 ≤ m ≤ 7

Part B:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

Part C:

The average rate of change on the interval [3, 7] is given by ...

(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

Mr. Edwards went to Six Flags and brought $50. He spent $20 on a souvenir and $10 on food. The rest was spent on a refillable drink at $2.50 per refill. How many refills did Mr. Edwards purchase?

Answers

Answer:

8 refills

Step-by-step explanation:

Set up an equation. You know that Mr. E spent his entire $50, so you start by making one side 50. Then, you know that the total is the same as the sum of everything purchased, so on the other side, add the souvenir, the food, and the refillable drink term (2.5x, with x being the number of refills, the thing the question is asking for). This gets you an equation of 50 = 20 + 10 + 2.5x. Isolate x by getting the x term by itself. In this case, you subtract 20 and 10 from both sides, leaving you with 20 = 2.5x. Finally, divide both sides by 2.5 to isolate x completely, leaving you with 8 = x, or x = 8. Don't forget your units (:

Answer:

8 refills

And the answer to the comment question is $175 for each iPhone 11

Step-by-step explanation:

Hope this helps :)

Pls mark brainliest :3

And have an amazing day <3

if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?

Answers

Answer:

0.8%

Step-by-step explanation:

4*20%=4*(1/5)=4/5=0.8%

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+ In the figure below, if m<1 = (x + 16)° and m The < sign is angle

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+
In the figure below, if m<1 = (x + 16)° and m The < sign is angle