if m<FHI=142, what are m<FHG and m<GHI​

If M&lt;FHI=142, What Are M&lt;FHG And M&lt;GHI

Answers

Answer 1
Answers:

angle FHG = 42 degrees

angle GHI = 100 degrees

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

Explanation:

FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.

Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)

This is the angle addition postulate.

------------------

(angle FHG) + (angle GHI) = angle FHI

(3x+6) + (9x-8) = 142

3x+6+9x-8 = 142

(3x+9x) + (6-8) = 142

12x - 2 = 142

12x-2+2 = 142+2 ... adding 2 to both sides

12x = 144

12x/12 = 144/12 .... dividing both sides by 12

x = 12

------------------

Use that x value to find the angles we're after

angle FHG = 3x+6 = 3*12+6 = 36+6 = 42

angle GHI = 9x-8 = 9*12-8 = 108-8 = 100

Note how

(angle FHG) + (angle GHI) = 42 + 100 = 142

which is the measure of angle FHI. This confirms the answers.


Related Questions

The following examples illustrate the inverse property of addition. Study the examples, then choose the statement that best describes the property. 5 + (-5) = 0 -1.33 + 1.33 = 0 Inverse property of addition: For real numbers, a + = 0.

Answers

Answer: -a

Step-by-step explanation:

Answer:

-a

Step-by-step explanation:

DONT DO SPACE just -a

Which of the folldwing is an irrational number? ​

Answers

Answer:

umm.... what exactly are the numbers?

Answer:

Yea umm what are the numbers..?

Step-by-step explanation:

What is 8/6 divided by 5/4?

Answers

Answer:

[tex]1 \frac{1}{15}[/tex]

Step-by-step explanation:

Hey there!

Well when dividing fractions you need to use Keep, Change, Flip.

[tex]\frac{8}{6} / \frac{5}{4}[/tex]

Keep, Change, Flip

[tex]\frac{8}{6} * \frac{4}{5}[/tex]

[tex]\frac{32}{30}[/tex]

Simplified

16/15

[tex]1 \frac{1}{15}[/tex]

Hope this helps :)

Answer:

The answer is 16/15 or 1 1/15.

Step-by-step explanation:

First, you have to multiply it by converting the second fraction upside down:

[tex] \frac{8}{6} \div \frac{5}{4} [/tex]

[tex] = \frac{8}{6} \times \frac{4}{5} [/tex]

Next, you have to cut out the common terms and multiply all:

[tex] \frac{8}{6} \times \frac{4}{5} [/tex]

[tex] = \frac{8}{3} \times \frac{2}{5} [/tex]

[tex] = \frac{16}{15} \: \: or \: \: 1 \frac{1}{15} [/tex]

What is the distance between y = 3x + 9 and y = 3x - 4?

Answers

Answer:

  A.  4.11 units

Step-by-step explanation:

It can be convenient to put one of these equations into general form, then use the formula for the distance from a point to a line.

In general form, the first equation is ...

  3x -y +9 = 0

So, the distance from a point to that line is ...

  ax +by +c = 0 . . . . . . equation of a line

  d = |ax +by +c|/√(a^2+b^2) . . . corresponding distance formula

  d = |3x -y +9|/√(3^2 +(-1)^2)

Using the y-intercept of the other line as the point of interest, we find its distance to the first line to be ...

  d = |3(0) -(-4)+9|/√10 = 13/√10 ≈ 4.11

The distance between the lines is about 4.11 units.

_____

Unless the lines are vertical or horizontal, you know the distance will be less than the difference between the x- or y- intercepts. Here, the y-intercepts are separated by 9-(-4) = 13 units. The x-intercepts are -3 and 4/3, so are separated by 4 1/3 units. Any answer choice larger than 4.33 cannot be correct.

702x10-4 power stanndard notation

Answers

Answer:

702*10-4

7020-4(because first we should do multiplication)

7016

stanndard notation=7.016

1/3x^2-5=7 what is x

Answers

Answer:

x= 6

Step-by-step explanation:

[tex]\frac{1}{3}x^{2}-5=7\\[/tex]

Add 5 to both sides

[tex]\frac{1}{3}x^{2}-5+5=7+5\\\\\frac{1}{3}x^{2}=12\\[/tex]

Multiply both sides by 3

[tex]3*\frac{1}{3}x^{2}=12*3\\\\x^{2}=36\\[/tex]

x² = 6*6

Take square root,

√x² =√6*6

x = 6

Match the graph with the correct equation

Answers

Answer: Choice D)

y + 2 = -(x - 4)

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

Explanation:

The slope of this line is -1 because each time we move down 2 units, we move to the right 2 units. So slope = rise/run = -2/2 = -1

The slope formula says the same thing more or less. Let's pick the two points (0,2) and (2,0) to find the slope through them

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

m = (0-2)/(2-0)

m = -2/2

m = -1

-------------

Using that slope and a point on the line, we can form the equation. We can pick any point really as long as it's on the line. However, to have it match with the answer choices, we'll have to pick the point (4,-2)

Turn to point slope form

y - y1 = m(x - x1)

y - y1 = -1(x - x1) ... plug in the slope

y  - (-2) = -(x - 4) ... plug in the point (x1,y1) = (4, -2)

y + 2 = -(x - 4)

ATTENTION WILL GIVE BRAINLIEST IF YOU HAVE IT RIGHT, IF YOU DONT PUT A RIGHT ANSWR I WILL REPORT YOU AND BLOCK YOU. 1. Write an expression with (−1) as its base that will produce a positive product, and explain why your answer is valid. 2. Write an expression with (−1) as its base that will produce a negative product, and explain why your answer is valid.

Answers

Answer: -1^0 because any number to the 0 is 1

-1^1 because it stays the same number which is negative

Answer:

Hey there!

For question number 1.

(-1)^2, because this equals (-1)(-1), or 1.

For question number 2.

(-1)^3, becuase this equals (-1)(-1)(-1), or -1.

Let me know if this helps :)

Evaluate each expression if a =2, b = -3 and c = -1 and d =4. Bd/2c

Answers

Answer:

6

Step-by-step explanation:

bd/2c

-3(4)/2(-1)

-12/-2

6

Answer:

6

Step-by-step explanation:

Add the given numbers into your equation.

(-3)(4)/2(-1)

Then multiply both sides.

(-12)/(-2)

Then divide.

(-12)/(-2) = 6

20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!

6. Libbi is creating a triangular mural for her city. The space she needs to fill has a base of 8 feet and a height of 9 feet. Which formula can she use to find the total amount of paint she will need if the entire space is painted?
A) A=(8)(9)
B) A=2(8+9)
C) A= (8)(9)/2
D) A=2 (8/9)

8. Which properties should you use to solve the equation 4x+2=18 ?
A) The inverse property of addition and then the associative property of multiplication
B) The inverse property of addition and then the multiplicative identity
C) The inverse property of addition and then the inverse property of multiplication
D) The inverse property of addition and then the commutative property of multiplication

Answers

Answer:

6) C

8) A

Step-by-step explanation:

6) A=(base*height)/2 is the formula for a triangle.

8) yes

6. The formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.

What is the area of the triangle?

The area of the triangle is given as,

Area = (1/2)*(base)*(height)

Now it is given that,

Base of space = 8 feet

Height of space = 9 feet

Thus,

Area of the space = (1/2)*(base of space)*(height of space)

Area of the space = (1/2)*(8)*(9)

or, Area of the space =  (8)(9)/2

Area of the space = 36 square feet

Thus, the formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.

To learn more about triangles :

https://brainly.com/question/20124564

8. The properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

4x + 2 = 18

To solve the equation first using inverse property of addition

4x = 18 - 2

4x = 16

Now using inverse property of multiplication we get,

4x/4 = 16/4

x = 4

this is the required value of x.

Thus, the properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.

To learn more about equation :

https://brainly.com/question/11720294

#SPJ2

Nicole mixes 2 tins of red paint with 3 tins of white. She needs 15 tins of paint altogether. how many tins of red paint does she need Please show calculations

Answers

Answer:

You have:

2 red tins

3 white tins

This equals 5 tins of paint.

If you multiply 5 tins by 3 times it will give you 15 tins of paint.

Now: 2 red tins x 3 = 6 red tins

3 white tins x 3 = 9 white tins

6 red tins + 9 white tins = 15 tins of paint

Answer:

She will need 6 tins of Red paint

Step-by-step explanation:

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2))

Answers

Answer: f(g(2))=-7

Step-by-step explanation:

STEP 1. Find g(2)

g(x)=x²-6x-7

g(2)=(2)²-6(2)-7

g(2)=4-12-7

g(2)=-15

----------------------

STEP 2. Find f(g(2))

f(x)=x+8

f(g(2))=g(2)+8

f(-15)=-15+8

f(-15)=-7

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

The Answer is -7 .

Step-by-step explanation:

f(x)= x+8

g(x)= [tex]x^{2}[/tex]-6x-7

Now,

fog(2)=f ([tex]2^{2}[/tex]-6*2-7)

        =f (4-12-7)

        =f (-15)

        =-15+8

        = -7          

Using the properties of triangles, prove that angle a is congruent to angle c in the drawing below.

Answers

Answer:

General conditions of congruency of triangles

Step-by-step explanation:

As no triangles are given, explaining the general rules to apply in congruency of all triangles.

Triangles are congruent on the basis of following conditions :

SSS : All 3 sides of two triangles are equal SAS : 2 sides & angle between them, of two triangles are equal ASA : 2 angles & corresponding side, of two triangles are equal HL : Hypotenuse & Leg of two right angled triangles are equal

In what time will N400 amount to N512 if the simple interest is calculated at 14% per annum?

Answers

Answer:

64/7 years

9.143 years

Step-by-step explanation:

[tex]Simple Interest = \\ \frac{Principal \times Rate \times Time}{100} [/tex]

[tex]Time = \frac{simple \: interest \times 100}{Principal \times Rate} [/tex]

[tex]Principal = 400 \\ Rate = 14 \\ Time = \\ simple \: interest = 512[/tex]

Input the values

[tex]Time = \frac{512 \times 100}{400 \times 14} \\ Time = \frac{51200}{5600} \\ [/tex]

[tex]Time = \frac{64}{7} \\ Time = 9.142 \: years \\ best \: answer \: = \frac{64}{7} years[/tex]

is 11/24 an repeating number or an terminate?

Answers

Answer:

repeating decimal/number

Step-by-step explanation:

If you divide 11 by 24, you get 0.458333333...

The 3 gets repeated, so 11/24 is a repeating decimal/number

what is 3.7 reapeting as a mixed number?

Answers

Answer:

[tex]3 \frac{7}{9}[/tex]

Step-by-step explanation:

We know that the first digit of 3.7, 3, will just be a 3.

However, if we have [tex].\overline{77}[/tex], we have to know what gets this.

If we have a number over 9, it will be that number repeating (excluding 9 itself).

So if we have .77 repeating, it would have to be [tex]\frac{7}{9}[/tex], adding 3 to this gets us [tex]3 \frac{7}{9}[/tex].

Hope this helped!

some whole numbers are irrational numbers true or false and why ?​

Answers

Answer:

False

Step-by-step explanation:

The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.

Answer:

False

Step-by-step explanation:

Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set

Question 13
A train runs 68m, 127m, 208m, 312m, and 535m in five successive minutes after it
starts. For the next five minutes, it runs an average speed of 33 km/h. Find the
total distance covered in ten minutes,
A. 12 km
B. 10 km
C. 4 km
D. none

Answers

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

-3(2x-1)+ 4x asap plz help

Answers

-2x+3 it what I got hope it helps

Answer:

[tex]- 2x + 3[/tex]

Step-by-step explanation:

[tex] - 3(2x -1 ) + 4x \\ - 6x + 3 + 4x \\ = - 2x + 3[/tex]

Solve for x 11=5x+2-2x

Answers

Answer:

x=3    

11=5x+2-2x

x=3    

Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.

Answers

What’s the question

which number is the additive verse of -10 1/4

Answers

Answer:

Step-by-step explanation:

An Additive Verse is a pair of numbers whose sum is zero.

Example: the additive Inverse of -5 is +5

Therefore: the Additive Inverse of -10 1/4 would be +10 1/4

graph the domain and range

Answers

Answer

Step-by-step explanation:

domain : red

range: blue

Look at the following figure. Copy the cross onto another piece of paper. Then, cut apart the four pieces labeled A, B, C, and D. You now have a jigsaw puzzle with four pieces. Can you figure out how to put the pieces back together to form a square?

Answers

Answer:

C should slot on top of A.

Then D should slot in next to C of the left.

Lastly B should be beneath D and on the left of A.

Hope that makes sense.

HELP PLEASE HELP ASAP

Answers

Answer:

r=0.30 feet

Step-by-step explanation:

2.6miles = 13728feet

4000=[tex]\pi[/tex]r²13728

4000/[tex]\pi[/tex]13728=r²

.0927=r²

r=0.30454

r=0.30 feet

Use the figure to answer the question. Calculate GH is a=3 and b=20

Answers

Answer:

7.75

Step-by-step explanation:

By Geometric mean property:

[tex] GH = \sqrt {a \times b} [/tex]

[tex] GH = \sqrt {3 \times 20} [/tex]

[tex] GH = \sqrt {60} [/tex]

[tex] GH = 7.74596669[/tex]

[tex] GH \approx 7.75[/tex]

What is the vertex of the parabola with the equation y = (x - 2)2 + 10? (1 point)
(2, -10)
0 (-2. 10)​

Answers

Answer:

(2, 10)

Step-by-step explanation:

y = (x - h)² + k

vertex = (h, k)

= (2, 10)

Find the value of x Round to the nearest tenth

Pls help :(

Answers

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

Here,

In figure ABC,

let a= 14

b= 19

and c= 8.

Using cosine rule,

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]

putting value of all we get,

[tex] {8}^{2} = {14}^{2} + {19}^{2} - 2 \times 14 \times 19 \times cosx[/tex]

Now, simplifying them we get,

[tex]64 = 196 + 361 - 532.cosx[/tex]

[tex]532cosx = 557 - 64[/tex]

[tex]or \: 532cosx = 493[/tex]

[tex]or \: cosx = \frac{493}{532} [/tex]

cosx= 0.926691

Putting cos inverse,

[tex]x = {cos}^{ - 1} (0.926691) [/tex]

Therefore, x= 22.0752°

By rounding off we get,

x= 22° { as 0 is smaller than 5 itsvalue dont change}.

Hope it helps....

please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.

Answers

Answer:

[tex] f(x) = 72 - 12x [/tex]

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = [tex] \frac{72}{6} = 12 mm [/tex]

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

[tex] f(x) = 72 - 12x [/tex]

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.


At the end of the trading day on April 25, TI closed at $28.84. The previous day it closed at $27.41. Find the net change as a percent rounded to
the nearest hundredth.

Answers

Answer:

27.41

Step-by-step explanation:

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