In ΔFGH, \text{m}\angle F = (3x-15)^{\circ}m∠F=(3x−15)



, \text{m}\angle G = (8x+8)^{\circ}m∠G=(8x+8)



, and \text{m}\angle H = (2x+18)^{\circ}m∠H=(2x+18)



. What is the value of x?x?

Answers

Answer 1

Answer:

x=13

Step-by-step explanation:

If you're doing Delta Math.

Answer 2

The required value of x is 13 units which is determined by the property of the triangle's interior angles.

The triangle ΔFGH has :

m∠F = (3x-15)

m∠G = (8x+8)

m∠H = (2x+18)

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry

We know that the sum of interior angles is always 180 degrees in the triangles.

As per the property of triangles,

m∠F + m∠G + m∠H = 180°

(3x-15) +  (8x+8) + (2x+18) = 180°

Rearrange the terms of variable x in the above equation,

3x + 8x + 2x - 15 + 8 +18 = 180°

13x + 11 = 180

13x = 196

x = 169/13

x = 13

Therefore, the required value of x is 13 units

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Related Questions

is either is either x equals 20 or x equals 12 the solution to X -8 = 4 ​

Answers

Answer:

12

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

You add 4 and 8 together and get 12

Have a great day

50 POINTS PLS HELP!!!!

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?

A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C: A segment in the image has the same length as its corresponding segment in the pre-image.

D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Answers

Answer:

Answer choice C.

Step-by-step explanation:

The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.

Answers

Given:

The equation is

[tex]F=\dfrac{9}{5}C+32[/tex]

To find:

Whether there is a proportional relationship between C and F.

Solution:

If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).

Put F=0 and C=0 in the given equation.

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is not true because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Answer:

korrect

Step-by-step explanation:

it looks right

-2(+7)-3(4- 2x).
Help I will give you brainliest who does it first

Answers

6x-26 is your answer

Answer:

-2(+7)-3(4-2x) simplified = −26+6x

Step-by-step explanation:

Solve the following equations for x.
kx - b=3d + 7b

Answers

Answer:

x= 3d/k +8b/k i think

Step-by-step explanation:

if sin 15° =x and sin 75° =y then which one of the following correct

Tan 15°=x/y
Tan 75° =x/y
Cot 15°=x/y
75°=y/x

Answers

Answer:

tan 75 =x/you is the my answer

need help asap!!!!!!​

Answers

Answer: x=4

Step-by-step explanation: first you should write it out like it is telling you. put a line and EG is the line and f is in the middle of the two looks kinda like this  E         F          G but they are on a line EG= 25 that means the whole thing equals 25. EF= 2x-6 and FG= 4x+7. when you plug that in it should look like this 25=2x-6+4x+7 then solve.

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Answers

Answer:

A

Step-by-step explanation:

Y

Find the interest on $900 at 6% for 4 years if the interest is added to the principal at the end of each year. Show your work. PLEASE HELP

Answers

Answer:

$1116

Step-by-step explanation:

6% of 900 = $54

54*4 = $216

900 + 216 = $1116

I’ll give Brainly! Write a corresponding real-world problem for each equation.

1. 0.55x + 4.50 = 0.65x + 3.50

2. 8x + 80 = 4x + 120

Answers

One day I went to the store I wanted to buy t things 1 one of them was 0.55x and the other was 4.50 all together is 0.65x plus 3.50


One day I had things for a party I had a children that was 8x and many balloons that was 80 all together they were 4x plus 120

factor completely
5x^2-9x-2​

Answers

Answer:

(5x+1)(x - 2)

Step-by-step explanation:

Hi now bye HOPE U DO GOOOOOOOD

which equation represents a proportional relationship? ​

Answers

Answer:

y = 1 - 1/3x

Step-by-step explanation:

Frank ordered a set of beads. He received 70 beads in all. 21 of the beads were green. What percentage of the beads were green?

Answers

answer: 30%
21 is 30% of 70

Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone.

Answers

Answer:

Step-by-step explanation:

There are several possible outcomes.  If your cross section is created by intersecting the cone with a plane parallel to the base of the cone, the cross section is a circle.  If the plane is held vertical, the cross section could be a hyperbola.  If the intersecting plane is neither vertical nor horizontal, the cross section could be an ellipse.  

How many buckets of balls does the golf course need to sell
if 10 course packages are sold?
If 10 course packages are sold, the golf course must sell
buckets of balls.
Check

Answers

爷爷,圣诞节快到了,但是我不想要任何礼物,只有你活着,呼吸和健康。那是我的圣诞愿望

Write in statement form 3x-5=1​

Answers

Answer:

answer =2

Step-by-step explanation:

x=2

mark it as brainliest and follow me

3x - 5 = 1

We first add 5 to both sides to get rid of -5.

3x = 6

Then we divide by 3 on both sides to make x alone.

x = 2

Hope this helped!

I can identify and use inverses to solve equations with one variable

Answers

Answer:

[tex] \boxed{ y = 10000}[/tex]

Step-by-step explanation:

[tex] \boxed{question \: 1.} \\ log(y) + 100 = 104 \\ log(y) = 104 - 100 \\ log(y) = 4 \\ but \: log(x) = log_{10}(x) \to \\ log_{10}(y) = 4 \\ y = 10 {}^{4} \\ \boxed{ y = 10000}[/tex]

♨Rage♨

A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?

Answers

4.5 hrs because 162.50-50 = 112.50
112.50/25= 4.5

Somebody please help me with this question, I couldn’t find any answers to it.

A = nr^2. find the value of A when n = 3.142 and r =5

Answers

Answer:

A = 78.55

Step-by-step explanation:

A = nr^2

substitute the n and r values

A = 3.142(5)^2

Use PEMDAS

Parenthesis Exponents Multiply Divide Add Subtract

so the first step is exponents

5^2 is 25

A = 3.142(25)

Multiply

A = 78.55

Make me brainliest plzz and thank you

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)

Answers

Answer:

The value is  [tex]E(X) = \$ 421.6[/tex]

Step-by-step explanation:

From the question we are told that

The probability that a 22 year  old  female in US will die within one year is    p= 0.00044

The outcome if she dies within one year is that the company losses $30,000

Generally the probability that  a 22 year  old  female in US will live more than one year is

           [tex]q = 1 -p[/tex]

=>        [tex]q = 1 -0.00044[/tex]

=>        [tex]q = 0.99956[/tex]

The outcome if she lives more than one year is that the company gains $435

Generally the  the company's expectation is mathematically represented as

           [tex]E(X) = -30000 * p + 435 * q[/tex]

The negative sign shows that the company is loosing the fund

So  

       [tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]

=>    [tex]E(X) = \$ 421.6[/tex]

what is the unit rate of 36 kg in 30 weeks. how many kg per week?​

Answers

Answer:

1.2 kg

Step-by-step explanation:

30/30=1  +  6/30=1/5  =  1 1/5=1.2

Answer:

12 kg

Step-by-step explanation:

36/30 = 6/5 = 1.2 kg

Thus, 1.2 kg per week

In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?

Answers

Answer:

11118 people voted

Step-by-step explanation:

Given

[tex]Eligible\ Voters = 21800[/tex]

[tex]Registered\ Voters = 85\%[/tex]

[tex]Voted\ Voters = 60\%[/tex]

Required

Determine the number of voters

First, we need to determine the number of registered voters.

[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]

[tex]Number = 85\% * 21800[/tex]

[tex]Number = 18530[/tex]

Next, we determine the actual voters using

[tex]Voters = \%Voters * 18530[/tex]

[tex]Voters = 60\% * 18530[/tex]

[tex]Voters = 11118[/tex]

Hence, 11118 people voted

a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim

Answers

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

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Determine which of the following angle measures are correct. Select all the apply

Answers

Answer:

The right answer is :

2 (108) and 3 (72)

Step-by-step explanation:

i did the test

The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

What is isosceles triangle?

An isosceles triangle is a triangle which is having two sides equal to each other.

How to determine angles?

Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.

So,

(4x+16)°+2(5x+7)°=180°

4x-16+10x+14=180

14x-2=180

14x=180+2

14x=182

x=182/14

x=13

Putting the value of x.

∠BCA=5x+7

=5*13+7

=65+7

=72

∠ABC=4x-16

=4*13-16

=52-16

=36

∠BAC=180-36-72

=180-108

=72

∠BCD=180-∠BCA

=180-72

=108°

Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

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1 +1 = ???????????????????????????

Answers

Answer:

IT 2

Step-by-step explanation:

In the diagram, lines m and n are parallel. What is the measure of w?

Answers

Answer:

35 degrees

Pleaase seek help u need to be smarter than this giv me brainilest

Write 1 ordered pair excluding the y-intercept given the slope and y-int. of this line.

Answers

Answer:

y=2/3x+2

Step-by-step explanation:

The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the constant of proportionality and write an equation for the proportional relationship.


A: k=3; y=3x


B: k=2; y=2x


C: k=4; y=4x


D: k=7; y=7x

Answers

Answer:

its B.

Step-by-step explanation:

all you have to do is y divided by x to find the constant of proportionality

so it would be two  y=2x

7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements

Answers

Answer:

w=14

Step-by-step explanation:

-8(w + 1) = -5(w + 10)

Remove the parentheses

-8w-8+-5w-50

Move terms

-8w+5w=-50+8

Collect like terms and calculate

-3w=-42

Then divide on both sides

Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.

Answers

it is not a true biconditional.
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