Mathematics College

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

Encuentra las soluciones de las siguientes ecuaciones:
a) 8x -(2-3x) = 18
b)12-(4x - 6) = 5x
c)4. (x + 3) - (1 - x)= 1
d)3. (2x - 1) +21=5. (3x - 2) + 1
e)-2(x + 6) + 2 = -4- (10-2x)​

Answers

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

a.27.9

b. -13

1) Find the x-coordinate of the vertex, y-coordinate of the vertex, and the z-
intercepts.
y= 22 +42-5
3-coordinate of vertex f
y-coordinate of vertex c
* -intercepts d
a. = 5:0 = -1
b. -5 = 1
c. 2
d. 7
e. -2
f. -9

Answers

Answer:

b is the answer i think

Step-by-step explanation:

I learned this at some point

The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.

a. How much more interest is owed on $900 (ignore the AED) for 9 months than for 6 months?

b. Does the interest rate increase at a constant rate?

(Please answer quick! Don't go to other answers and copy and paste or put something that isn't even about this, I really need help! Thank you.)

Answers

Answer:

its soooooooo long make it shorter i need toknow it shorter

Step-by-step explanation:

If the triangle has a base length of 8in and a total area of 32 in what is the height

Answers

Your answer would be 8.
When finding the area of a triangle, the formula is half the base times the height. 8x8=64, 64/2 is 32. PLEASE MARK BRAINLIEST IF I HELPED
The height will be 8.

The formula for area of a triangle is 1/2(b x h).

If you do 8 x 8, you get 64 and half of 64 is 32.

Hope this helps! :(

2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8

Answers

B) 8+5
because when to negatives are together it forms a positive
B - 8+5 because two negatives make a positive

PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n≠0
A) −m/n
B) m/−n
C) −m/−n
D) −(−m/−n)

Answers

The answer D seems to be correct
I was on Brainly and it is b

Yeah- I need help please
-3r - 13

r = 2

Answers

Answer:

The answer should be -19

Step-by-step explanation:

-3r - 13 = ?

-3(2) - 13 = ?

-6 - 13 = ?

-19 = ?

Find the value of x so that the ratios are equivalent.
3:x and 12:40
X=
help pls

Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4

Hi can you please help me with #11, & 12? Please show all your work.
Thank you in advance

Answers

9514 1404 393

Answer:

  11.  (-4, -1)

  12.  (2, 7)

Step-by-step explanation:

The midpoint is the average of the end point coordinates. For segment AB, the midpoint M is ...

  M = (A+B)/2

If you have A and M, you can find the other end point B from ...

  2M = A+B . . . . multiply the above equation by 2

  B = 2M -A . . . . subtract A from both sides

__

11. The midpoint (M) is ...

  M = ((-1, 2) +(-7, -4))/2 = (-1-7, 2-4)/2 = (-8, -2)/2

  M = (-4, -1)

__

12. The missing end point is ...

  Z = 2Y -X

  Z = 2(-4, 8) -(-10, 9) = (2(-4)+10, 2(8) -9)

  Z = (2, 7)

3/5 TIMES 1/2 WHOEVER ANSWERES IN UNDER 2 MINUTS I WILL MARK BRAINLIEST AND ILL GIVE YOU EXTRA POINTS

Answers

Step-by-step explanation:

3/10 or 0.3

hope it helps:))!

Answer:

0,3

= 3/10

Step-by-step explanation:

thank you

i hope this helps

PLS HELP! WILL GIVE BRAINLIEST!

A test is worth 60 points. Multiple choice questions are
worth 2 points, and
short-answer questions are worth 5 points. If the test has
15 questions, how
many multiple-choice questions are there?

A. m+ s = 60
B. m+ s = 15
C. m:s= 15
D. 2m + 5s = 15

Answers

Answer:

2m + 5s = 15

I hope it helps.

have a great day.

please help me im in deep need

Answers

Answer:

Its C

Step-by-step explanation:

because N and O would have been numerators but they are denominators

find x. and rounddddd

Answers

Answer:

X=117.9

Step-by-step explanation:

I got itttt

CAN SOMEONE PLEASE HELP

Answers

Step-by-step explanation:

The answer is down here

1. 8

2. 2

3. b

4. f

If the radius of a circle is 3.5 cm, what is the diameter?

Answers

Answer:

7

Step-by-step explanation:

The diameter is twice the radius, and 2(3.5) = 7.

Which type of loan is similar to a credit card, where the lender sets the
maximum amount that you can borrow based on your equity in the home?
A. Equity
B. A second mortgage
O c. An amortization
D. An equity line of credit

Answers

Answer: B

Step-by-step explanation:

Answer:

A second mortgage


Somebody pls help I need help wit my homework!!!!

Answers

Step-by-step explanation:

(3,4) would be the answer

Please help me on this or give me the answer!

Answers

Answer:

i agree with he or she they are correct as well

Step-by-step explanation:

Graph y=2x -7 NEED HELP

Answers

Answer:

Step-by-step explanation:

Write an equation of the line passing through the given points.
(3,-25) and (-3,5)

y=

Answers

Answer:

y = -5x -10

Step-by-step explanation:

This is the slope-intercept form:

[tex]y-y_{1} = m(x -x_{1})[/tex]

First, we look for the slope. The slope is found by using the equation:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]

[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]

m = -5.

Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:

y - (-25) = -5(x - 3)

y + 25 = -5(x - 3)

y + 25 = -5x + 15

y = -5x + 15 -25

y = -5x -10

Answer:

the answer to the problem is y= -5x - 10

Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.

Answers

Answer:

[tex]Total = 1.02n[/tex]

Step-by-step explanation:

Given

[tex]Earnings = n[/tex]

[tex]Raise = 2\%[/tex] --- not 296

[tex]Total = n + 0.02n[/tex]

Required

Simplify the expression for total earning

The total amount is derived from:

[tex]Total = Earnings + Raise * Earnings[/tex]

[tex]Total = n + 2\% * n[/tex]

Express percentage as decimal

[tex]Total = n + 0.02 * n[/tex]

Now, we can solve further:

[tex]Total = n + 0.02n[/tex]

[tex]Total = 1.02n[/tex]

Hence, the simplified expression is 1.02n

Answer:

1.02n

Step-by-step explanation:

Evaluate the expression when x = 28 and y=5. x-3y​

Answers

Answer:

13

Step-by-step explanation:

Substitute x for 28 and y for 5:

(28) - 3(5)

28 - 15

13

heeeeeeeelppppppppppppp
plz
plz
i will mark you brill please just if you help

Answers

Use the picture for reference, label all the numbers down 1-23, and for each number that is on the list put a dot, so for number 1 it would have 2 dots above it because there are 2 number 1’s in the list. And so on.
The answer is in the image I have attached, hope it helps.

If an organism has 35% of cytosines, how
many adenines will it have?
35%
15%
25%

Answers

Answer:

Unknown

Step-by-step explanation:

Since you have 35 C, you will have 35 G. Without knowing the number of thymine, the number of adenine is unknown .

That is all the information you can get from this. Just because there are 35 C and G, there doesn't have to be an equal number of A and T

Answer: 15%

Step-by-step explanation: I just did it

9. To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon. How much does Sam spend on fuel? Round to the hundredths place.

Answers

Answer:

$65.52

Step-by-step explanation:

y = mx + b

y = amount spent on fuel = ?

m = price per gallon = $3.90

x = gallons  = 16.8

b is not needed for this problem

y = (3.90)(16.8)

y = $65.52

The amount of money that Sam spends on fuel will be $65.52.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon.

The amount of money that Sam spends on fuel will be given by the multiplication of the numbers 16.8 and 3.9.

⇒ $3.90 x 16.8

⇒ $65.52

The amount of money that Sam spends on fuel will be $65.52.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

help pls ! ASAP
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 4 newspapers, 4 soda cans, 5 apple cores

A.
40%
B.
14%
C.
100%
D.
70%

Answers

Answer:

i think its 70 percent

Step-by-step explanation:

katie is using fabric to create skirts for her friends each skirts uses 5/6 a yard of fabric how much fabric does she need to create 9 skirts​

Answers

Answer:

10.8

divide 9 by 5/6

guys u realy need help on this pls

Answers

Answer:

x>9

Step-by-step explanation:

[tex]7-\frac{2}{3} x[/tex]<x-8

21-2x<3x-24

5x>45

x>9

MATH SEND HELP THANKS BAES

Answers

alternate interior:
4,5 and 3,6
alternate exterior:
1,8 and 2,7
same side interior:
4,6 and 3,5
corresponding angles:
1,6
2,5
4,7
3,8
:)

An equation is modeled.



What value of x makes the equation true?
(MATH HELP) 7TH GRADE MATH

Answers

Answer:

c

Step-by-step explanation:

(-1)x5= -5

-5+6=1

Answer:

The answer is C.

Step-by-step explanation:

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