How do I solve for x, y, and z? Please help ASAP.

How Do I Solve For X, Y, And Z? Please Help ASAP.

Answers

Answer 1

Answer:

x = 60 degrees, y = 120 degrees, z = 30 degrees

Step-by-step explanation:

To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle.  This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure.  Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:

x + x + x = 180

3x = 180

x = 60 degrees

Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees.  This lets us write the following equation:

y + 60 = 180

When we subtract 60 from both sides to solve, we get:

y = 120 degrees

Finally, we should notice that the triangle on the right is isosceles.  This means that two of the side lengths (and thus two of the angles) are equal.  This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal.  From this information we can write the following equation:

y + z + z = 180

If we substitute the value for y and solve, we get:

120 + 2z = 180

2z = 60

z = 30 degrees

Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.

Hope this helps!


Related Questions

Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?

Answers

He Gave 28 Pieces Of Candy Away
He gave away 28 candies

Solve for y.
24=8/3y

Simplify your answer as much as possible.

Answers

I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9

if the question is 24=8/3(y) then the answer is y=9

Answer:

24 = [tex]\frac{8}{3}[/tex] y

[tex]\frac{8}{3}[/tex] = 2.6 repeating

24 ÷ 2.6 repeating = 9

Step-by-step explanation:

Which equation correctly applies the distributive property?
A. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67​

B .​(42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)​

C. ​2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)​

D. ​−3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

Answers

The correct answer is B

Answer:

B

Step-by-step explanation:

someone be quick PLEASEEEEEEEEEE
Solve LaTeX: \frac {b}{6} > -7

Answers

Answer:

[tex]\huge\boxed{b>-42\to b\in(-42;\ \infty)}[/tex]

Step-by-step explanation:

[tex]\dfrac{b}{6}>-7\qquad|\text{multiply both sides by 6}\\\\6\!\!\!\!\diagup\cdot\dfrac{b}{6\!\!\!\!\diagup}>(6)(-7)\\\\b>-42\to b\in(-42;\ \infty)[/tex]

A 42​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.

Answers

Answer:

4, 8, 30

Step-by-step explanation:

Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.

Equation:

x + 2x + 7x + 2 = 42

10x + 2 = 42

10x = 40

x = 4

The First piece is 4 inches

Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.

Hope this helps!!!

The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?

Answers

Answer:

The number of hours that the milk will stay fresh is 86.2 hours

Step-by-step explanation:

Given the following function;

[tex]H(T) = 180*10^{(-0.04T)}[/tex]

where;

T, is the  temperature in degrees centigrade

H is the number of hours

At 8°C the number of hours that the milk will stay fresh is given by;

[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]

Therefore, the number of hours that the milk will stay fresh is 86.2 hours.

five billion, seventy three thousand

Answers

Answer:

5,000,073,000

Step-by-step explanation:

is this a function? x

Answers

the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

The correct answer is 2

The lines represented by the equations 12y + 8x = 60 and y =-2/3x+5 are what type of line​

Answers

Answer:

Straight negatively sloped lines

Step-by-step explanation:

A tree that was 7 1/4feet tall grew 10 inches one
year and 1/6 of a foot the following year. How tall
was the tree after two years?
a. 8 feet, 3 inches
b. 8 feet
c. 7 feet, 6 inches
d. 7 feet

Answers

Answer:

A

Step-by-step explanation:

Please give brainliest!

On a school fieldtrip with 344 students, they filled 5 buses, but 34
students couldn't fit on the buses and had to get rides with their parents.
How many students fit on each bus? *

Answers

Subtract 34 from 344 and then divide the answer by 5 so
344-34=310
310/5=62

Select ALL graphs that do NOT represent a function.

Answers

Answer:

3 and 5

Step-by-step explanation:

If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.

jerry has $115 in his savings account and $65 dollars in his checking account If Jerry deposits $20 to his savings account each week and $45 to his checking
account each week, how many weeks will it be until the two accounts have the same amount of money?

Answers

Answer:

after 2 weeks

Step-by-step explanation:

y=20x (savings account)

y=65x (checking account)

20*2 is 40. 115+40 is 155

45*2 is 90. 65+90 is 155

Ian left his house and drove to the store. He stopped and went inside. From there, he
drove in the same direction until he got to the bank. He stopped and went inside the
bank. Then he drove home. The graph below shows the number of blocks away from
home Ian is x minutes after he left his house, until he got back home.

Answers

Answer:

6 blocks

Step-by-step explanation:

Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well

Answers

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.

Answers

Answer:

C) is your choice

Step-by-step explanation:

if i won 10 games out of 16, how many games would i need to paly to win 50

Answers

Ratio is 10:16, so to win 50, its 50:190, so you need to play 190 games to win 50

Answer:

19

Step-by-step explanation:

2(b + 2) > 4(1 + 5b) -b

Answers

Answer:

b<0

Step-by-step explanation:

2(b+2)>4(1+5b)−b

Step 1: Simplify both sides of the inequality.

2b+4>19b+4

Step 2: Subtract 19b from both sides.

2b+4−19b>19b+4−19b

−17b+4>4

Step 3: Subtract 4 from both sides.

−17b+4−4>4−4

−17b>0

Step 4: Divide both sides by -17.

−17b

−17

>

0

−17

b<0

Answer:

b<0

Answer:

2(b + 2) > 4(1 + 5b) -b

2b + 4 > 4 + 20b -b

2b - 20b + b > 4 - 4

-17b > 0

b < 0/-17

b < 0

Help Me need help please it is due today please help ASAP

Answers

There are 47 minutes for soccer.

Answer:

87

Step-by-step explanation:

you subtract 3:32-2:45

Which inequality matches the graph shown?

Answers

Answer:

I am pretty sure it is x>8 which is B.

Step-by-step explanation:

I’m one hundred percent positive it’s B because if it’s open the aren’t less then or equivalent to or greater than or equivalent to

Fiona wants to estimate the product (8.7)(3.0). Which expression shows each factor rounded to the nearest whole number?

Answers

(9)(3) would be the expression for the factors rounded to the nearest whole numbers.
I hope I correctly answered your question and that this helps.

Mr. Heath owns a game store.
He offers workshops where students learn about different kinds of games and how to design their own games.

Sia designs a board game in which a card is drawn on each turn.

• A blue card means move forward 4 squares.
• A red card means move back 6 squares.

Sia begins at 0. She draws a blue card on each of her first three turns.
Then Sia draws only red cards and ends up back at 0. How many red cards did Sia draw?

Answers

he drew 2 cards

Step-by-step explanation:

because 4x3 is 12 and to get back to zero u would have to draw 2 red cards which are 6 each. so 4x3=12 and then 6x2=12 12-12=0

What is the midpoint between (3,-1) and (7,-5)
(2, -2)
(5,-2)
(10,-6)
(5,-3)

Answers

Answer:

(5, -3)

Step-by-step explanation:

Choose the definition, theorem, or postulate that justifies the statement.

A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence

Answers

Answer:

its b i got it correct

Step-by-step explanation:

on ed 2020

what other properties do we use to rewrite expressions and equations​

Answers

Answer:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Step-by-step explanation:

Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

What is Expression?

An expression is combination of variables, numbers and operators.

The properties we use to rewrite expressions and equations​ are

The commutative

Associative, and

distributive properties

These properties help to rewrite a complicated algebraic expression into simpler form.

When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hence, Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Solve: 5(h − 3) = 25

Answers

Answer:

h=8

Step-by-step explanation:

open the brackets

then, 5h - 15= 25

h=(25+15)/5

h=8

Answer:

h = 8

Step-by-step explanation:

Hi there !

5(h - 3) = 25

5h - 15 = 25

5h = 25 + 15

5h = 40

h = 40 : 5

h = 8

Good luck !

True or false: geometry is an axiomatic system where the accepted principles are undefined terms 0 and 1.

A. The statement is false. Algebra is an axiomatic system where the accepted principles are undefined terms 0 and 1.

B. The statement is true.

C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.

D. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms circle, triangle, and square

Answers

Answer:

C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.

Step-by-step explanation:

The 4 basic characteristics of axiomatic systems are:

Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logic

The undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.

Slope -2/3 , x-intercept at 3

Answers

Answer:

Y=(-3)x+6

Step-by-step explanation:

2. Liz claimed that the polynomial 4x -12 + 2x is a trinomial because it has three
terms.
Is Liz correct? Explain your reasoning in complete sentences. Be specific!

Answers

Answer:

see below

Step-by-step explanation:

The first step is to combine like terms

4x -12 + 2x

6x -12

Then determine the number of terms

2 terms so it is a binomial

Answer:

Im not sure if I’m correct but I think she is correct because a trino Mila doesn’t always have to have a exponent but three terms

Step-by-step explanation:

not positive

PLEASE ANSWER REALLY EASY

Answers

Answer:

I will answer here because I am glitching.

Step-by-step explanation:

1.     1.36 < [tex]\sqrt{2}[/tex] < 2.45

2.    1.65 < [tex]\sqrt{3}[/tex] < 2.34

3.    1.65 < [tex]\sqrt{4}[/tex] < 2.34

4.    2.14 < [tex]\sqrt{5}[/tex] < 3.56

5.    2.41 < [tex]\sqrt{6}[/tex] < 3.56

I believe this is correct but check if I am wrong.

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