Determine x,y, and z.
80°
100°
55°
60°
The measure ofx is
The measure of y is
The measure of z is

Determine X,y, And Z.801005560The Measure Ofx IsThe Measure Of Y IsThe Measure Of Z Is

Answers

Answer 1

Answer:

Step-by-step explanation:

You can get y and x immediately. z is a bit tricky.

x

The other two angles of a triangle containing x are 100 and 60.

x + 100 + 60 = 180          Add the two terms on the left

x + 160 = 180                  Subtract 160 from 180

x = 180 - 160                   Combine the right

x = 20

y

y is done exactly the same way.

55 + 80  + y  = 180

135  + y =  180

y = 180 - 135

y = 45

z

You have x y and z all in the same triangle.  You know x and y so z can be found in much the same way.

x + y + z = 180

20 + 45 + z = 180

65 + z = 180

z = 180 - 65

z = 115

Answer 2

Answer: x = 20

              y = 45

              z = 115

Step-by-step explanation:

There is one unknown variable in both triangles with known angles.  To find the values of x, y, and z, add both the known angles and subract it from 180 degrees.  The result will be the value of the variable.  When you have both the values of x and y, do the same math to find the value of z.

Step 1: Find the value of x

Add the values of the two known angles in this traingle and subtract it from 180°

80 + 55 = 135

180 - 135 = 45

45° is the value of x

Step 2: Find the value of y

Add the values of the two known angles in this traingle and subtract it from 180°

100 + 60 = 160

180 - 160 = 20

20° is the value of y

Step 3: Find the values of z

Add the values of x and y and subtract it from 180°

45 + 20 = 65

180 - 65 = 115

115° is the value of z


Related Questions

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Answers

Answer:

x=10

Step-by-step explanation:

(10-4)(10-8) = 12

(6)(2) =12

12 = 12

The required real number that satisfies the given expression is x=10, x= 2.

Given that,
To determined the real numbers x that satisfy the equation (x - 4)(x - 8) = 12

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

(x - 4)(x - 8) = 12

x²-12x+32=12
x²-12x+20=0
(x - 10)(x -2) = 0

Thus, the required real number that satisfies the given expression is x=10, x= 2.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

The slope of the line represented by y = 5x is

Answers

Answer:

The slope of the line represented by y = 5x is 5

Step-by-step explanation:

The form of the linear function is y = m x + b, where

m is the slope of the line that represents the equationb is the y-intercept (the value of y at x = 0)

To find the slope of a line from its equation compare the equation with the form of the linear function, then find the coefficient of x which is the slope of the line

∵ The equation of the line is y = 5x

→ Compare it with the form of the equation above

∵ The coefficient of x = 5

m = 5

The slope of the line represented by y = 5x is 5

A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
- 4x – 2y = 18
4x – 4y = -36
O Subtract to eliminate x.
O Subtract to eliminate y.
O Add to eliminate x.
O Add to eliminate y.

Answers

Step-by-step explanation:

-4x - 2y = 18

+ (4x - 4y = -36)

=> -6y = -18, y = 3

As we added the equations together, we have eliminated x and found y.

Hence the correct answer is "Add to eliminate x".

How many ways are there to
adjust two quantities so that they are in a
given proportional relationship?

Answers

Answer:

2 or 3

Step-by-step explanation:

Sally has three tiles each tile has a number on it sally puts the three tiles down to make a number each number is made with all three tiles how many different numbers can sally make

Answers

Answer:

6

Step-by-step explanation:

123

132

213

231

312

321

which totals to 6 overall combinations

How do you convert r=8 cos(θ) into cartesian form?

Answers

As relation between Cartesian coordinates (x,y) and polar coordinates (r,θ) is given by x=rcosθ and y=rsinθ i.e. r2=x2+y2 .
As r=8cosθ can be written as.
r×r=8rcosθ or.
r2=8rcosθ or.
x2+y2=8x.
Jul 13, 2016
The collection of monster that are in your closet is 10

Need help ASAP I’m trying to understand

Answers

Step-by-step explanation:

5a+4a=180

a=20

5a=X

X=5×20

=100°

Answer:

100 degrees

Step-by-step explanation:

The opposite angle will always be the same. since the opposite is 5a, then x = 5a.  x is 5a, and 9a is 180 degrees so x=180(5/9), which is equal to 100 degrees.

A scuba diver is swimming 15 feet below the water’s surface.
The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth?

Answers

Answer: -11.8  =  11.8 feet below the water's surface

Step-by-step explanation:

-15 + (0.5)(4) + 3(0.4)

-15 + 2 + 1.2

-11.8

HELP ASAP NEEDS TO BE DONE TODAY.
Which expression is equivalent to 27 + 45?

A. 8(3+6)

B. 8(19+ 37

C. 9(3+5)

D. 9(18 + 36)​

Answers

Answer:

A

Step-by-step explanation:

if you did 6+3=9

8x(9)=72

"27+45=72"

Answer:

C

Step-by-step explanation:

27 + 45 = 72

9(3 + 5)

9 x 3 = 27

9 x 5 = 45

27 + 45

NEED HELP DESPERATE. A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the proportional relationship.
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

It goes up by 4 for each cup of flour and over 1 for every cup of milk. Please Brainliest

HELP! 10 Point for helping!
Anwer now!
FAST!

Answers

Answer:

(8,3)

Step-by-step explanation:

five and six eights + four and 4 fiths please answer ill give 10 points

Answers

Answer:

29/5

Step-by-step explanation:

Answer:

10 11/20

Step-by-step explanation:

ten and eleven twentieths

whats they answer for they question 10+20

Answers

Answer:

30

Step-by-step explanation:

jk it's 19

Answer:

30, 10+20=30. if you dont know this you probably shoudnt be on brainly.

Step-by-step explanation:

one quarter of a number is 6.
work out one-third of the number.

tyyy

Answers

Answer:

8

Step-by-step explanation:

6 / 1/4 = 24, So to find 1/3 we do 24 / 3 which is 8

:D

Answer:

8

Step-by-step explanation:

An industrial engineer must estimate the cost of building a storage tank. The tank requires 208 sq ft of material at $9.29 per square foot. It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour. Find the total cost of the tank.

Answers

Answer:

The total cost of making the tank equals $2,082.48

Step-by-step explanation:

Giving the following information:

The tank requires 208 sq ft of material at $9.29 per square foot.

It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour.

To calculate the total cost, we need to multiply the unitary variable cost by the total amounts:

Direct material= 9.29*208= $1,932.32

Direct labor= 4.5*26.4 + 1.6*19.6= $150.16

The total cost of making the tank equals $2,082.48

Please answer this as soon as possible!! ASAP Simplify to a single power of 2: 2^7/2^5​

Answers

Answer:

i got 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\\\\frac{2^{7}}{2^{5}}=2^{7-5}=2^{2}[/tex]

HELP I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!! THIS IS TIME PLZ HELP!!!
(look at the screenshot)
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east and 4 blocks north to a coffee shop. Then she walks 6 blocks west and 5 blocks north to a museum. Where is the museum in relation to her​ hotel? SHOW YOUR WORK!!!

The museum is __ blocks(s) __ (east or west) and __ block(s) (north or south) of her hotel.

Answers

Answer:

2 blocks west and 5 steps north

Step-by-step explanation:

4 blocks west. (6 west minus 2 east)

9 blocks north. (4 north plus another 5 north)

Grab a piece of graph paper to get a visual

25 - so
Is the following number rational or irrational?

Answers

Answer:

25 is a rational number

Step-by-step explanation:

This is because, a rational number needs to be in p/q form, where q ≠ 0

This is possible for 25, 25 in p/q form =

25/1

If my answer helped, kindly makr me as the brainliest!!

Thank You!!

(Assuming the number is 50) yes, 50 is rational because it can be expressed as the quotient of two integers: (50 divided by 1).

Withby tuns 3/4miles in 1/6 hours at that rate how far can she run in one hour?

Answers

Answer:

4.5 miles ibelieve

Step-by-step explanation:

3/4 × 6/6 is 4.5 miles


21. Given that f(x)= x^3– x² + 5x and g(x)= x^3 +5x^2 –2 determine
(g-f)(x)

Answers

Answer:

(g - f)(x) = 6x² - 5x - 2

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x³ - x² + 5x

g(x) = x³ + 5x² - 2

(g - f)(x) is g(x) - f(x)

Step 2: Evaluate

Substitute:                    (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)Distribute -1:                 (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5xCombine like terms:    (g - f)(x) = 6x² - 5x - 2

hola me gusta la matematicas

Answers

Answer:

that is spanish for "hello, i like mathimatics"

Step-by-step explanation:

it is

Answer: Do you want a translation? If you do, it says, "Hello, I like Mathematics."

Step-by-step explanation: I know spanish.

can some one help with this ​

Answers

Answer:

156 masks

Step-by-step explanation:

kaley read 12 1/4 pages in 1/3 hours. How many can she read in 1 hour?

Answers

Answer:

15 1/4 pages im thinking please correct me if im wrong

Step-by-step explanation:

look at the picture that's the problem I need help with​

Answers

Answer:

I think its A

Step-by-step explanation:

Write 8/5 as a mixed number.

Answers

Answer: 1 3/5

Step-by-step explanation:

5/5 = 1

There is a remainder of 3/5.

Combine these two pieces to get the whole, 1 3/5.

The answer is 1 and 3/5


The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?

Answers

Step-by-step explanation:

The relation and its inverse (if it exists) must be symmetrical about the line y = x.

Hence the answer is the 2nd from the top.

Answer:

Second option

Step-by-step explanation:

Would 7x = 28 represent any geometric proof?

Answers

Answer: yes because the x could be 4 then 7 times 4 is 28 which would make this math sentence true

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Write the word sentence as an equation. Then solve.

The product of 15 and a number x is −75.

Equation:

Solution: x=

Answers

Answer:

Equation: 15x= -75

x= -5

Step-by-step explanation:

15x= -75

Divide both sides by 15 to isolate the variable x

-75÷15= -5

Check

15× -5= -75

Hope this helps!

List 4 equivalent to 3/7

Answers

Step-by-step explanation:

[tex]\dfrac{3}{7}=\dfrac{3}{7}\cdot\dfrac{2}{2}=\dfrac{6}{14}\\\\\dfrac{3}{7}=\dfrac{3}{7}\cdot\dfrac{3}{3}=\dfrac{9}{21}\\\\\dfrac{3}{7}=\dfrac{3}{7}\cdot\dfrac{4}{4}=\dfrac{12}{28}\\\\\dfrac{3}{7}=\dfrac{3}{7}\cdot\dfrac{5}{5}=\dfrac{15}{35}\\\vdots\\\\\dfrac{3}{7}=\dfrac{3}{7}\cdot\dfrac{10}{10}=\dfrac{30}{70}\\\vdots\\\\\dfrac{3}{7}=\dfrac{3}{7}\cdot\dfrac{100}{100}=\dfrac{700}{300}\\\vdots[/tex]

ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is​

Answers

Answer:

5000

Step-by-step explanation:

i worked the problem out and got 100%

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