Mathematics High School

m/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

m∠HGI = 26x

m∠HGF = 161°

Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

135x + 26x = 161

Combine like terms:

(135x + 26x) = 161

161x = 161

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

x = 161/161 = 1

Related Questions

Name the marked angle in 2 different ways.

Answers

Answer:

Step-by-step explanation:

<CDE or <EDC

5+ ( 4g - 7) ____________

Answers

Answer:

4g -2

Step-by-step explanation:

5+4g -7

Combine like terms

4g+ 5-7

4g -2

Answer:

[tex]4g-2[/tex]

Step-by-step explanation:

[tex]5+\left(4g-7\right)[/tex]

Remove parentheses:-

[tex]5+4g-7[/tex]

combine like terms:-

[tex]4g+5-7[/tex]

Subtract:-

[tex]5-1=2[/tex]

[tex]4g-2[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

I need help ASAP!!!PLEASE EXPLAIN HOW TO SOLVE THE PROBLEM

Answers

hopefully this answer can help you to answer the next question

BEDROOM Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide. Write a
numerical expression to describe the area of Shenandoah's bedroom.

Answers

Answer:

(12 x 7) feet2

Step-by-step explanation:

formula of area= length times breadth

The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.

Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.

The area of the rectangle is the product of its width and length.

Area = L x W

The expression for Shenandoah's bedroom area will be written as below:-

Area = 12 x 7

Area = 84 square feet

Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

To know more about the area of the rectangle follow

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find the inverse f⁡(x)=2⁢x/x+3 x≠-3

Answers

Answer:

f^(-1)(x) = 3x/(2-x)

Step-by-step explanation:

f(x) = 2x/(x+3)

f(x)*(x+3)=2x

x(2-f(x))=3f(x)

x=3f(x)/(2-f(x))

f^(-1)(x) = 3x/(2-x)

Please help me!!! Homework due before 7pm

Answers

Answers:

8.8 miles on the first day

5.2 miles on the second day

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

Explanation:

f = number of miles walked on the first day

f - 3.6 = number of miles walked on the second day, since they traveled 3.6 miles less compared to the first day.

The two expressions f and f-3.6 must add to 14 as this is the total distance over the two days.

(first day)+(second day) = 14

(f) + (f-3.6) = 14

2f-3.6 = 14

2f = 14+3.6

2f = 17.6

f = (17.6)/2

f = 8.8

They walked 8.8 miles on the first day and f-3.6 = 8.8-3.6 = 5.2 miles on the second day.

As a check,

(first)+(second) = (8.8) + (5.2) = 14

so the answer is confirmed.

7/3 = 7 ÷
7 divided by blank equals 7/3
please help ?

Answers

Answer:

7/3 = 7 ÷ 7 ÷ 3/7 (i think)

Step-by-step explanation:

check mathpapa.com

https://www.mathpapa.com/algebra-calculator.html

u4gent help needed
help me with the question of o.math

Answers

Answer:

1≤f(x)≤5

Step-by-step explanation:

-1≤x≤1

-2≤2x≤2 (Multiplied by 2 both side)

-2+3≤2x+3≤2+3 (Adding three both sides)

1≤f(x)≤5

Is {3,…} a defined set

Answers

Answer:

no it's not a defined state it's undefined

The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If Steve's budget is $200, how many hours could the electrician work?
12.5 hours
22 hours
11 hours

Answers

Answer:

12.5 hours

Step-by-step explanation:

budget: 200

fix cost: 50

hourly rate: 12

hours: ?

----

First we deduct the fix 50 dollars cost from the total budget.

Then we divide the remaining amount with the hourly rate

( 200 - 50 ) / 12 = ?

? = 12.5 hours

2x^2-4x+8 when factored is

Answers

Answer:

[tex]2(x^{2} -2x+4)[/tex]

Step-by-step explanation:

[tex]2x^{2} -4x+8[/tex]

= [tex]2x^{2} -2*2x+2*4[/tex]

= [tex]2(x^{2} -2x+4)[/tex]

Can some one help me on this math question its confusing ill give brainly when right!!!

Answers

Answer: 2/5

Step-by-step explanation:

The answer is 2/5 because it’s rise over run, meaning it goes up two spaces and to the right five, you can tell by looking at the plotted points

3T-2 + T -5T= -1
Solve it out please

Answers

Answer: T = -1

Step-by-step explanation:

**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.

Given

3T - 2 + T - 5T = -1

Combine like terms

-T - 2 = -1

Add 2 on both sides

-T - 2 + 2 = -1 + 2

-T = 1

Divide -1 on both sides

-T / (-1) = 1 / (-1)

T = -1

Hope this helps!! :)

Please let me know if you have any questions

find the height of the triangle

Answers

Answer:

Step-by-step explanation:

my day has been going good for you because the height is 9.14 because

The table shows the times that street lights come on one night and go off the next morning.In Glasgow, the lights go off later than they do in Newcastle. How much later?

Answers

Answer:

10 mns later

Step-by-step explanation:

CAN SOMBOBY HELP ME find the surface area of each figure. Round it to the nearest tenth if necessary.

Answers

Answer:

365.65

Step-by-step explanation:

you can find the formula online

Right circular cone.
Solve for surface area.
A - 389.85.
Radius.
h.
Height.
13.4.
Using the formulas.
A= arl+ar².
Vithi.
Solving for A.
A= ar (r+.
\/h²+r ).
= T·6·(6+/ 13.4+6' )~ 389.84579.

. If a basketball player made 72 of 85 free throws, how many free throws could she expect to make in 200 attempts?

Answers

Answer:

169 of the 200 free throws

Step-by-step explanation:

You would expect her to make at least 169 of the 200 free throws

Six men working 8 hours a day dig a shamba in 5 days. How many more days will it take 4 men working 8 hours a day to finish the job?
NOTE:PLEASE EXPLAIN IN DETAIL !!!

Answers

6m=40hours

1m=40×6h

=240hours

4m=240÷4

=60 hours

divide 60 by 8

=7.5 days

thus,

4 men take 2 and 1/2 day more to complete the job.

Answer: 2 1/2days

Let x be the sum of the following 2000 numbers

Answers

Answer:

See attached image for the sum computed using wolfram alpha, raw value is: 49382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382715160

Answer:

Step-by-step explanation:

First, i divide all terms by 4

sequence is 1,11,111,1111,....,1111...1111 (with 2000 digits)

[tex]u_1=1\\\\u_2=11=10+1=\dfrac{10^2-1}{9}\\\\u_3=111=100+10+1=\dfrac{10^3-1}{9}\\\\u_4=1111=1000+100+10+1=\dfrac{10^4-1}{9}\\....\\u_n=\dfrac{10^n-1}{9}\\\\\\\displaystyle \sum_{i=1}^n\ u_1 =\dfrac{10^1-1}{9}+\dfrac{10^2-1}{9}+\dfrac{10^3-1}{9}+...+\dfrac{10^n-1}{9}\\=\dfrac{1}{9} *(10+10^2+10^3+....+10^n+1-1-(1+1+1+1...+1)\ )\\\\=\dfrac{1}{9}*( \frac{10^{n+1}-1}{9} -(n+1)\ )[/tex]

[tex]\boxed{4+44+444+....+444...4=\dfrac{4}{9}*( \dfrac{10^{2001}-1}{9} -2001\ )}\\\\\\\approx{4,9382716049382716049382716049383*10^{1999} }[/tex]

What is 15+(-11) simpyfied

Answers

Hi there!

»»————-　★　————-««

I believe your answer is:

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

your answer will obviously be 4

find the value of x if the measure of angle 2 is 12x+4

Answers

Answer:

Step-by-step explanation:

From angle chasing, we know that the angle 2 is 180-56=124. So 12x+4=124, which means 12x=120 so x=30

HELP !!!! Please.. ASAP

Answers

a) There are 8 points as shown by the 8 letters (A through H)b) There are 9 lines. This is because there are 3 lines per triangle, to make up each base face, and 3 lateral lines also. An example of a lateral line is segment AD.c) There are 5 planes to represent each face of this triangular prism (2 base faces + 3 lateral faces = 5 faces total)d) You are correct. Points F, H and C are all on the same line; hence they are collinear.e) Name any four points that are on the same plane or face. One example could be A, C, D, F which is the slanted side on the right (it's a rectangle).f) Line segment AB is the answer. Notice how "AB" is found in ABC and ABE. This is the shared segment between the faces. g) Plane BCH is the same as plane BEF. I'm replacing CH with EF to show that EF is in common between planes BEF and DEF. This is a shared edge line. The final answer is line segment EF.h) Point D is the answer. The letter D is found in AD and DF. This is the shared corner point between the segments.

The answers are summarized below.

Which of the following is equivalent to the logarithmic equation below
In x= 4

Answers

Answer:

The answer for this question is C

Help me slove and direction pls ty :)

Answers

Answer:

see explanation

Step-by-step explanation:

Solving

4x + 8 = 20 ( subtract 8 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Each pack contains 3 paintbrushes

Answer:

x=3

Step-by-step explanation:

since the equation to use has already been given,you just have to group the like terms and solve for x

4x+8=20

4x=20-8

4x=12

then divide both sides by 4 in order to remain with x on one side

4x/4=12/4

x=3

each pack contains 3 paint brushes.

I hope this helps

a² = 3 and a² - 1 = 1 find the value of a

Answers

Answer:

No solutions to the problem

Step-by-step explanation:

Wolfram Alpha for more info

You offered a SALARY job of $43,741, and you are expected to work 44 hours a week.
What would your hourly rate be?

Answers

Answer:

Your hourly rate is about 19.12 (19.1175699301 rounded to the nearest hundredth)

Step-by-step explanation:

44 × 52 = 2288, 43,741 ÷ 2288 = 19.1175699301. Btw we round to the nearest hundredth because you can't have part of a cent

"Two-thirds of a number increased by seven."

Answers

Answer:

(2/3)n + 7

Step-by-step explanation:

Represent the number by n.

Then "two thirds of (that) number" is (2/3)n.

Finally, we add 7:

"Two-thirds of a number increased by seven" is (2/3)n + 7

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Given that :

Diameter (d) = 18 cm

Pi (π) = 3.14

Radius (r) = d/2 = 18/2 = 9 cm

We know that volume of sphere is

Volume of Sphere = 4/3πr³

Volume = 4/3 × 3.14 × (9)³

Volume = 4/3 × 3.14 × 729

Volume = 4 × 3.14 × 243

Volume = 12.56 × 243

Volume = 3052.08

Hence, the volume is 3052.08 cm³

why is 0.71875 a rational number

Answers

Answer:

Because it is terminating.

Step-by-step explanation:

0.71875 is rational because it is terminating (has a clear end). If it were a bunch of random numbers that never ended, then it would be irrational.

0.71875 is a rational number because it is a terminating and non-repeating decimal.

What are rational numbers and irrational numbers?

Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers

Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

Now,the given number is 0.71875

Here we see that digits after decimal 71875 stops,

hence the given number can be convert into fraction of the form a/b

So,

0.71875 = 71875/100000

So 0.71875 can be expressed in the form of a/b

Therefore 0.71875 is rational because it is a terminating and non-repeating decimal.

To learn more about rational numbers and irrational numbers:

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given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee

Answers

Answer:

Hello,

We don't need vw(x) !

[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]

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m/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x​

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m/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x