Mathematics High School

Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees

Answers

Answer 1

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

[tex]y+(3x+5)=180[/tex]

[tex]y=180-3x-5[/tex]

[tex]y=175-3x[/tex]

Similarly,

[tex]z+(3x-5)=180[/tex]

[tex]z=180-3x+5[/tex]

[tex]z=185-3x[/tex]

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

[tex]x+y+z=180[/tex]

[tex]x+(175-3x)+(185-3x)=180[/tex]

[tex]-5x+360=180[/tex]

[tex]-5x=180-360[/tex]

[tex]-5x=-180[/tex]

Divide both sides by -5.

[tex]x=36[/tex]

The value of x is 36.

[tex]y=175-3(36)[/tex]

[tex]y=175-(108)[/tex]

[tex]y=67[/tex]

Now,

[tex]z=185-3(36)[/tex]

[tex]z=185-108[/tex]

[tex]z=77[/tex]

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

Find The Values Of X, Y, And Z In The Triangle To The Right. A Triangle Has Angles Labeled As Follows:

Related Questions

is the number 5 in the expression of constant

Answers

Yes x + 5 = 9", 5 and 9 are constants.

Costs of homes can be very different in different parts of the United States.

2. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost?

Answers

Answer:

110 x 2100 = $231,000

Step-by-step explanation:

EMERGENCY! PLEASE ANSWER ASAP!

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Answer:

It looks like you can keep the same nad just add the exponents

Step-by-step explanation:

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PLEASE HELP!!!!!
Type the integer that makes the following subtraction sentence true:

− –478 = –398

Answers

The answer would be “-876”

In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60

Answers

Answer:

7250

Step-by-step explanation:

This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.

Select all the irrational numbers BRAINLY PLS HEP ME RIGHT NOW IT MATH !

Answers

Answer:

rational are repeating decimals. So choose the ones without the line on the top

Step-by-step explanation:

h(x) = 4x +3. What is
the coordinate pair for h (1)?

Answers

9514 1404 393

Answer:

(1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

h(1) = 4(1) +3 = 7

The coordinate pair is ...

(x, h(x)) = (1, h(1)) = (1, 7)

I know i already asked this but i need the answer!!!!
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?

O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)

Answers

Answer:

3(3+7)

Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21

During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375. By how much did the amount in her bank account change during that week?

Answers

Answer:

179

Step-by-step explanation:

40+156=196

375-196= $179.00

if I'm not wrong

Answer: $59 increase

Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.

What corresponds to the graph below?

Answers

Answer:

Step-by-step explanation:

Can you redo the picture

what is the hypotenuse of 22 120

Answers

Answer:

122

Step-by-step explanation:

thats what o got anyway

Multiply (10 + 2-8)(110 - 2-18)
A) -22
B)-246
C)10-8suqareroot2
D)10+8suqareroot2

Answers

Answer:

First Option (A) -22

Step-by-step explanation:

Answer:

a) 22

Step-by-step explanation:

just took it on edge

second problem is c!

x+2y=16
standard to slope intercept simplification

Answers

y = (-x + 16)/2

explanation:
x+2y = 16
-x -x
2y = -x + 16
(divide by 2 on bo sides to get y alone)

What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?

Answers

Answer:

Step-by-step explanation:

y = -x + 9

y - 1 = -(x - 5)

y - 1 = -x + 5

y = -x + 6

The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Here,

The point is given as ( 5, 1 ).

The equation of line is parallel to the line x + y = 9.

What is Equation of line?

The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]

where, m is slope of line and ( x₁ , y₁) is point.

Now,

The equation of line is parallel to the line x + y = 9.

Hence, both line have same slope.

The slope of line x + y = 9 is given as,

⇒ y = -x + 9

compare with equation of line y = mx + c , we have;

Slope = -1

The equation of the line passes through the point ( 5, 1 ) and slope -1 is;

y - 1 = -1 ( x - 5)

y - 1 = -x + 5

y = -x + 6

Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Learn more about the Equation of line visit:

https://brainly.in/question/17740820

#SPJ2

An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Answers

Answer:

Shaheem paid $76 as his total.

Step-by-step explanation:

He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.

Solve for x: 3x + 2 = 11

Answers

Answer:

x = 3

Step-by-step explanation:

3 x 3 + 2 = 11 Because 3x3 = 9 and 9 + 2 = 11

I hope this helps!

Answer:

x=3

Step-by-step explanation:

3x+2=11

(subtract 2 on both sides)

3x=9

(divide by 3 on both sides)

x=3

-3y=15
What is the slope of the line?

What is the y-int?

What is the x-int?

What is the zero?

Answers

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

explain how you know that the two triangles have the same area.

Answers

“Congruent” means same three sides and three angles. If two triangles are congruent, they have the same area. But two triangles can easily have the same area, and have different angles and sides. For example, a 3/4/5 right triangle has area = 6.

Answer:

Step-by-step explanation:

Which of the following is an example of a rational number that is not an integer?

Answers

Uh what is the followijg LOL LEL

2x+y=-5 slope intercept form please

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Answer: y= -2x - 5

Step-by-step explanation:

2x + y = - 5 To convert it into slope-intercept form subtract 2x from both sides

-2x -2x

y= -2x - 5

please help me I like really need help

Answers

Answer:

-110

Step-by-step explanation:

105 - (-5) = 110 but it’s dropping so it’s -110

Can anyone please help me with number 2 ❤️

Answers

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?

Answers

Answer:

Step-by-step explanation:

if |a+3|=4 which describes all possible values of a)

Answers

Answer:

1 and -1

Step-by-step explanation:

The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.

Answer:

-7 and 1.

Step-by-step explanation:

either a + 3 = 4 or a + 3 = -4

So a = 1 and a = -7.

Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.

Answers

Ali Mia and Jared are correct. Molly forgot to divide the 12 by 3

A ratio table is PROPORTIONAL when SOME columns reduce to the same fraction
true or false pls asap

Answers

Answer: true

Step-by-step explanation:

how do i solve for the x?

Answers

Answer:

sikeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Figure A is a scale image of Figure B.
2
Figure A
18
Figure B
27
45
What is the value of 2?

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of corresponding sides in similar figures are proportional.

x/18 = 45/27

x = 18(45/27)

x = 30

Please help I’m struggling image below I will mark Brainly

Answers

Answer:

5/6

Step-by-step explanation:

The x access is on 5The y access is on 6Put them together: 5/6

I'm not sure if this is correct, but I still hope this helps!

Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=

AB =

Answers

angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?

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