+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

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

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:

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.

#SPJ2

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

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

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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Find the percent decrease. Round to the nearest percent.

From 99°F to 72°F

Answers

Answer:

Step-by-step explanation:

71.28

Are these functions or not functions?

Answers

Function my boy ya diididiidiidiiddiidididididiidididididiidididi

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%

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:

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)

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

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

if a×b÷2=a÷2 then b =

Answers

if a×b÷2=a÷2 then b = 1

-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)

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

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.

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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