In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]

[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]


Related Questions

can u help me solve 8-3(7-4y) i know the answer i just need to kown how i got the answer

Answers

8 - 3(7-4y)
8 - (3x7 - 3x4y) You need to develop between parentheses bcs there is a minus between 8 and 3.
8 - (21 - 12y)
8 - 21 + 12y /!\ A minus before parentheses changes the sign in the parentheses !
12y - 13

Calcula x para que sean ciertas las igualdades siguientes:
a. 3x = 243
b. 53 = x
c. x 2 = 64
d. 2x = 128
e. 9x = 729
f. 10x =10.000




Ayuda

Answers

a. 81
b. no entiendo la pregunta
c. 32
d. 64
e. 81
f. 1000

solve the system by substitution -x+3y=15
y=2x​

Answers

Answer:

(3,6)

Step-by-step explanation:

Solve for


9
19
17
None of the above
Other:​

Answers

Answer:

none of the above,

Step-by-step explanation:

The answer would be seven because the angle they're looking for is complementary, meaning that the angles would have to equal 90 degrees.

1. add up angles given

2. subtract what you get from that by 90

Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? Need help Please
A$30 coupon
B20% off and then a $10 rebate
C$20 coupon and then 10% off
D25% off

Answers

Answer:C I hope this helps

Step-by-step explanation:

Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. The
interest that you earned in those 3 years is $39.60. Which of the following is/are true?
1 = 3
r=3.3%
p = 400
t = 39.60





Help me please

Answers

Answer:

Step-by-step explanation:

Given parameters:

 Principal  = $400

 Time  = 3years

 Interest rate  = 3.3%

  Interest  = $39.60

Now let us verify;

I = interest

r = rate

p  = principal

t  = time

 

i = 3             incorrect, interest is $39.60

r=3.3%          Correct, rate is 3.3%

p = 400         Correct, principal is 400

t = 39.60     Incorrect, time is 3years

What is the value of x in the triangle?

Answers

Answer:

Step-by-step explanation:

Q

Answer:

B

Step-by-step explanation:

Since there are 2 congruent angles then the triangle is right isosceles.

The 2 legs of the triangle are therefore congruent ( both x )

Use Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = (3[tex]\sqrt{2}[/tex] )² , then

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3 → B

Sue is filling a water bottle. The height of the water is increasing as shown in the table. How high would the water be after 20 seconds?

Answers

Answer:

56 cm

Step-by-step explanation:

Please answer this, I’m a bit confused...

Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance, and how much longer did he run?

Answers

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

Round 5949.69836527 to the nearest hundredth.
rounding numbers

Answers

Answer:

It would be 5949.70

Step-by-step explanation:

The hundreds place is the first two number after a decimal point. In this case it would be 6 and 9. Now if were rounding to the hundredths, you would look at the number right after 9 to see if you could round up. That number happens to be an 8, and if that number is greater than 5, than it will round up the number before it. Now since 8 would round up nine, that would make it a 10, but that can not happen, so you would have to round up the first number as well, which would give you .70.

Answer:

5949.70

Step-by-step explanation:

Yes, I know this is a bagillion years late, but I was bored so I'm just answering random questions lol. Have a nice day :)

I need help. I don’t understand it. Thanks!

Answers

Answer:

Yessss

Step-by-step explanation:

Apply the distributive property to create an equivalent expression.
(6m -7) x 4 can someone pls answer fastt.

Answers

Answer:

24m-28

Step-by-step explanation:

We have to multiply each term inside the parenthesis by 4, so we get the result

the area of rectangle is x^2-3x+2. Find a possible length and width of the rectangle.

Answers

Answer:

x - 2 and x - 1 can be possible length and width of the rectangle.

Step-by-step explanation:

Area = x² - 3x + 2

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

To find possible length and width we can factorize the above expression.

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

x² - 3x + 2 ( 2 = -1 × -2 )

x² - x - 2x + 2 ( 3 = -1 + -2 )

x(x - 1) + -2(x - 1)

(x - 2) (x - 1)

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

x - 2 and x - 1 can be possible length and width of the rectangle.

_________________________________

#teamtrees#WAP

Symplify the expession 71 2/3% helppp

Answers

Answer:

0.71(6)

Step-by-step explanation:

the ending of "6" is forever.

A pizza place charges a flat fee for each pizza and a delivery fee. One customer buys 3 pizzas and pays $41. Another pays $29 for two pizzas.

Write a linear function for this situation (use p for the number of pizzas).

Answers

Answer:

Step-by-step explanation:

p=12x+5

the answer is p=12x+5.

Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the coordinates of L are (-5,1)

Answers

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =[tex]\dfrac12[/tex]

Let slope of LG be n, then

[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]

[tex]\Rightarrow n=-2[/tex]

Equation of a line passes through (a,b) and have slope m is given by :-

[tex](y-b)=m(x-a)[/tex]

Equation of LG :

[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]

How do i find lines AC, BD, and EC?

Answers

Answer:

All equal 11

AC=11

BD=11

EC=11

Step-by-step explanation:

The shape is a square and all sides of a square have the same length. The marks ‘II’ means that they are all parallel.

what is the average minimum wage of this problem. it was due yesterday but I cried because i suck at math and i never turned it in

Answers

Answer:

4.89

Step-by-step explanation:

You don't suck at math, just nobody has explained it good enough or gave you a calculator (working on your computation skills help if that's the problem). For an average, add up all the numbers and divide them by the amount of items you added up.

Which runner lost the race?

Answers

Answer:

I would say charlie because why did it suddenly curve and then continue again?

Step-by-step explanation:

Hopefully this helps? Have a nice day/night! :)

Answer:

Charlie is the loser I believe sorry if I'm wrong

Step-by-step explanation:

Hope it helps!

Have a good day/night :)

Brainliest pls?

7(x + 4) = -21 what is x in this problem?

Answers

X=-7
Sorry I can’t explain it! My device is really slow right now!

Answer:

-7

Step-by-step explanation:

7x+28=-21

7x=-49

x=-7

Solve for x.
75°
11x-2

Answers

Answer:

x=7

Step-by-step explanation:

Maurice can pack 100 cans in 20 minutes Is this a faster or slower rate than packing 160 cans in 40 minutes?

Answers

Maurice can pack cans at a faster rate.

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Which equation represents the line that passes through points B and C on the graph?


A. Y=2x-6

B. Y=2x+10

C. Y=2x-6

D. Y=2x+10

Answers

y= -2x-6 would be the answer but make sure the 2 is negative

Solve for t.
-t = 9(t – 10)
= 1

Answers

T=9 and I do not understand the =1 like are you saying if t is 1.

What is the answer to this equation? 2x+2x+2=4x+2

Answers

Answer:

0

Step-by-step explanation:

You start off with 2x + 2x + 2 = 4x + 2.

You would then add like terms, as shown below.

4x + 2 = 4x + 2

Now, you would subtract 4x from both sides, and that would leave you with:

2 = 2

You would now subtract 2 from both sides, which would now leave you with 0.

(25)2×100÷23+[24÷(13−5)]

Answers

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

Larry shaded this area model to show an expression.

A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.

Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)

Answers

Answer:

The answers are B,D,E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

point slope line equation of the line through (8,-8) and (9,8)

Answers

Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

Hello I am to lazy I am also really bored so waz up

Answers

First, we would need to create an equation for this problem. Let x represent the unknown number of hours.

4(6 + x) = 48

Next, you would simplify the equation.

24 + 4x = 48

Now, you would combine like terms.

4x = 24

Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.

x = 6

I hope this helps!

Answers x=6

Step-by-step explanation:

What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8

Answers

Answer:

Step-by-step explanation:

1.  (–0.5)(–1.2)(–5.22)= -3.132

Answer:

B

Step-by-step explanation:

Other Questions
A dart is thrown horizontally at a target's center that is 5.00\,\text m5.00m5, point, 00, start text, m, end text away. The dart hits the target 0.150\,\text m0.150m0, point, 150, start text, m, end text below the target's center.What was the initial horizontal velocity of the dart? Answer these questions in English.3. Were there earlier forms of the flag? Whyhave the changes been made?4. What is your opinion of the flag?5. When was this flag adopted?6. Describe two other European flags whichhave French as an official language. Morning can someone help me please and can you please let me know how you got the answer if there was no technological advancement what would be our society like Why do physical properties change? What is HO - H+ boz Dana refers to her job as the slave market. What does she actually do? im starting my own business so I need things that would look cool in tie-dye The sum of two numbers is 8. The difference of the same two numbers is 4. What are the two numbers? I TRIED SO MANY THINGS AND I JUST DO NOT UNDERSTAND WHAT I AM DOING, CAN I PLEASE GET SOME HELP QUICK. ITS SOLVING ALL SOLUTIONS FOR X.I included a image please someone help I need help with my homework. Which cellular structure in plant cells is most responsible for having less flexible animal cells amu.An atom with 4 protons, 5 neutrons, and 4 electrons has an atomic mass of(Enter a whole number.) What are three strategies that you can use to make better financial decisions? A statement of an employee's biweekly earnings is given below.EarningsDeductionsWeek Ended Regular FED. SOC. MED STATEWITH. WITH. CARE. WITH.NET PAY8/18$_____ $72.00 $35.05 $15.54 $14.40$793.01What is the employee's gross pay? A. $900.50 B. $1000 C. $930 D. $975.10 Felicia earns $800 a month. The table shows her monthly budget.Monthly BudgetExpense Amount of MoneyCollege savings $200Car payment $275Cell phone $125Clothes $50Food $100Other $50Which statement is supported by the information in the table?F.Felicia spends 10% of her monthly budget on clothes and food.G.Felicia spends 25% of her monthly budget on her car payment.H.Felicia spends 20% of her monthly budget on college savings.J.Felicia spends 50% of her monthly budget on her car payment and cell phone.I'm not really good at math and I'm doing a test online right now and I am very confused. What reignites the slaves' power to fly away? *A. The driver whips them. B. they fall from the heat.C. They suddenly grow wings again. D. Toby says the magic words from Africa. Solve five and three sixths minus two and one third.(GIVING EXTRA POINTS ON THIS ONE! IM ALSO GIVING BRAINLIEST!) (Btw three and two ninths is incorrect :) )A) Two and three eighteenthsB) two and two ninthsC) three and two ninthsD) three and three eighteenths(Here is an image if needed) : Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal. Functions can be defined using graphs, tables, and ordered pairs. What is the domain of a function?The domain is any y-value.The domain is all numbers.The domain is the input.The domain is the output. The table shows the weekly profits of a fruitvendor. What is the mean profit for these weeks?Week1234Profit -$125 -$86$54- $35The mean profit is $