In AGHI, GI is extended through point I to point J, mZGHI = (2x - 3)º,
mZIGH = (2x + 15)°, and m_HIJ = (7x – 18)'. Find mZGHI.

In AGHI, GI Is Extended Through Point I To Point J, MZGHI = (2x - 3),mZIGH = (2x + 15), And M_HIJ = (7x

Answers

Answer 1

Answer:

m<GHI = 17°

Step-by-step explanation:

m<GHI = (2x - 3)°

m<IGH = (2x + 15)°

m<HIJ = (7x - 18)°

<HIJ is an exterior angle of ∆GHI

<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:

m<GHI + m<IGH = m<HIJ

(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)

Solve for x

2x - 3 + 2x + 15 = 7x - 18

Add like terms

4x + 12 = 7x - 18

4x - 7x = -12 - 18

-3x = -30

Divide both sides by -3

x = 10

✔️m<GHI = (2x - 3)°

Plug in the value of x

m<GHI = 2(10) - 3 = 20 - 3

m<GHI = 17°


Related Questions

In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?

Write the equation and your solution.

Answers

Answer:

i dk and stop callin me slime

Step-by-step explanation:

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Equation is [tex]w^2+4w-60=0[/tex]

Given :

a rectangular flower bed is designed to be 4 meters longer than it is wide

60 square meters are needed for the plants in the bed.

Let 'w' be the width of the flower bed

and 'L' be the length of the flower bed

Length is 4 meters longer than its width

Length L= w+4

We know that the area of rectangle = length times width

[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]

Given that the area is 60 square meters

Replace A by 60  and solve for 'w'

[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]

Width cannot be negative, so width = 6 meters

length = width +4 = 6+4=10 meters

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Learn more: brainly.com/question/19579804

write a poem and don’t plagiarize please helpppp

Answers

Answer:

that is major cheating, I am so sorry I can't help

I agree with the person above but also writing a whole poem is too much. I could answer a math problem for you but not do this

4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.

Answers

So first I would do 6400 by 4. I would get 1600 and then I would do 6400-1600. That would get me 4800. Final answer is for adults 1600 and for kids 4800 tickets were sold

The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5

Answers

answer: C. the product of 6 and the difference of x minus 5

. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.

Answers

Answer:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

7 seniors, from a set of 7.

3 juniors, from a set of 10. So

[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]

Total outcomes:

10 students froms a set of 50. so

[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:

The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)

Answers

First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).

For part B you can use the following:

y = m x + b

y = (7/4) * 13 + 3

26 Is your answer

Goodluck

:):

A bank account earns a fixed rate of interest compounded quarterly (every 3 month)

Answers

Answer:

Here’s what I got.

Hope it helps.

Farmer Hernandez planted 804 rows of corn on her successful farm. Each row contained 26 individual plants. How many corn plants did Ms. Hernandez plant on her farm

Answers

Answer:30.92

Step-by-step explanation:divide 26 from 804 and you will get your answer

hope this helps

A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag?

1 pound = 16 ounces

Answers

Answer:

80 Ounces!  

80 ounces is equivalent to 5 pounds of flour.

80 ounces are in 5 pounds , if 1 pound is 16 , it would be 16 • 5 = 80

Need help finding the slope please answer need it done today

Answers

Answer:

1. 1/2

2. 2/5

3. -1

4. 1/2

Step-by-step explanation:

slope is equal to rise/run

you take two points and count how far up and sideways

if it is down make it negative

answer each question with work and reasoning

Answers

Answer:

30

Step-by-step explanation:

2 + 3 = 6

6 x 10 = 30

30 snowmen

CAN SOMEONE PLEASE HELP ME?

Solve the equation: (5x+1/2)^2=9/16

Answers

Answer:

x=-7/160

Step-by-step explanation:

Explain your answer !!

Have a great day

Will give brainlst

Answers

It is unevenly distributed with the soil because over the year and states it changes around the country.

Determine which is the better buy.
1 kilogram of for $2.06 or 4 kilograms of for $7.48
PLZ EXPLAIN

Answers

Answer:

the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24

g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=

Answers

The value of (f + g)(5) is 65

Function

Function relates input to output . Therefore,

g(x) = w² + 7w - 7

f(x) = 4w - 8

Therefore,

(f + g) = w² + 7w - 7 + (4w - 8)

(f + g) = w² + 7w - 7 + 4w - 8

(f + g) = w² + 11w - 15

Finally,

(f + g)(5) = 5² + 11(5) - 15

(f + g)(5) = 25 + 55 - 15

(f + g)(5) = 80 - 15

(f + g)(5) = 65

learn more on functions here: https://brainly.com/question/20624584?referrer=searchResults

3. Two coins are simultaneously tossed until one of them comes up a head and the other a tail. The first coin comes up a head with probability p and the second with probability q. All tosses are assumed independent. (a) Find the PMF, the expected value, and the variance of the number of tosses. (b) What is the probability that the last toss of the first coin is a head

Answers

Answer:

Step-by-step explanation:

From above-given information

Consider p to be the probability that the first coin comes up as head

Consider q to be the probability that the second coin comes up as tail.

Provided all tosses seems to be independent.

Then;

Let X represent no. of tosses, where X follows a geometric distribution with parameter;

p' = p(1-q) +q(1-p)

with probability mass function (pmf)

[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]

Thus, the mean (expected value) and the standard deviation can be computed as:

[tex]E(X) = \dfrac{1}{p'}[/tex]

[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]

[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]

[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]

(b)

Suppose X represents that the first coin is head;

and Y represent the last toss

Therefore, the required probability is:

[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]

[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]

what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.​

Answers

Answer:

See Explanation

Step-by-step explanation:

For ASA

[tex] \angle R \cong \angle E[/tex]

[tex] RQ \cong EF[/tex]

[tex] \angle Q \cong \angle F[/tex]

[tex] \triangle PRQ \cong \triangle GEF[/tex]

For AAS

[tex] \angle P \cong \angle G[/tex]

[tex] \angle R \cong \angle E[/tex]

[tex] RQ \cong EF[/tex]

[tex] \triangle PRQ \cong \triangle GEF[/tex]

I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:

                          13 + h = 21

                          13 - 13 + h = 21 - 13

                           0 + h = 8

                           h = 8                

                           8 ≠ 9    

 

                          13 + ( 9 ) = 21

                              22 = 21

                              22 ≠ 21

 3) Conclude: The given value of ( h ) is not a solution of the given equation.

Find the value of x in this triangle​

Answers

Answer:

No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36

use the volume formula to find the volume of the prism.

Answers

Answer:

Step-by-step explanation:

Answer:12 1/2

Step-by-step explanation:

I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?​

Answers

Answer:

sorry... i think i have never seen a problem like this..3

Answer:

y = -½x - 8

Step-by-step explanation:

You can see that (0,-8) and (2,-9) are points on the line. Use their coordinates to find the slope of the line.

Then use the slope and one of the points to write an equation in point-slope form.

PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can

Answers

Answer:

the first answer is 104 square units

I forgot how to answer the surface area for the second prism sorry.

Step-by-step explanation:

Maribel wants to skate 12 miles on Monday. If she skates io mile Monday morning and į of that distance Monday afternoon, will she reach her goal? Explain.​

Answers

Answer & Step-by-step explanation:

Yes, Maribel will reach her goal. If you convert each fraction with a denominator of 6 then add it up, it will be 1 7/6 which is equal to 2 1/6.

I hope this helps ;)

Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8

Answers

You plug in the x = 3y+4 into the 3x part of 3x -5y=8. You distribute the 3 and add like terms to end up with 4y=12. You divide by 4 to get y alone and get -1. That’s your y value. You plug that -1 into the y part of any of the two equations to find x. The simplest one is to plug it in to x=3y+4, and you get -3+4=x, so x= -1

answer for 11 points and brainliest

Answers

Answer:

Constant, $19/sweater

Step-by-step explanation:

You can check each of data by dividing cost/number.

38÷2=19

76÷4=19

133÷7=19

171÷9=19

Doing this will tell you the price of 1 sweater, which is $19.

Please help




thx thx thx thx

Answers

Answer: Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming or all of the US states in alphabetical order

Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?

Answers

Answer:

4 packs of erasers and 0 packs of pencils

Step-by-step explanation:

To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs

in a box of colored light, 1/2 of the light are red, 1/3 of the light are blue, and 1/6 lf the lights are green. the number of lights in the box is greater than 10. what ia the smallest number of lights that could be in the box?

Answers

Answer:

Step-by-step explanation:

How is your mental health?



Answers

Answer:

bad

Step-by-step explanation:

cause of school so yea my mental health

Answer:

It is bad at some points but on certain days it is okay.

Step-by-step explanation:

With school mainly, but I tend to manage. And I know that this isn't a school question but do you think you could give Brainliest.

on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.

Answers

Answer:

d < - 60

Step-by-step explanation:

Given that:

Depth, d of ocean floor on first dive = 60 feets below sea level = - 60

Depth, d explored on second dive is deeper than that of fist dive

Hence, possible depth, d, explored on second dive can be represented by the inequality ;

d < - 60

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