In triangle XYZ, XY¯¯¯¯¯¯¯¯=15, YZ¯¯¯¯¯¯¯=8, ∡X=(3w−35)°, and ∡Y=52°. In triangle RST, RS¯¯¯¯¯¯¯=15, RT¯¯¯¯¯¯¯=8, ∡R=(w+17)°, and ∡S=52°. Find the angle measure for each of the four angles whose measures are not known.



A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°


B. ∡R=64°, ∡T=64°, ∡X=64°, ∡Z=64°


C. ∡R=35°, ∡T=93°, ∡X=35°, ∡Z=93°


D. ∡R=52°, ∡T=76°, ∡X=52°, ∡Z=76°

Answers

Answer 1

Answer:

A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

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

In triangle XYZ, we can find XZ using cosine rule:

[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

∠X + 52 + 85 = 180

∠X + 137 = 180

∠X = 43°

∠X = 3w - 35

3w - 35 = 43

3w = 78

w = 26

In triangle RST, using sine rule:

∠R = w + 17

∠R = 26 + 17

∠R = 43°

∠R + ∠S + ∠T = 180° (sum of angles in a triangle)

43 + 52 + ∠T = 180

∠T + 95 = 180

∠T = 85°


Related Questions

In the diagram,m<1= (4x+10) and m<2=(c+20) the value of x is

Answers

Answer:

30

bcz

1+2=150(st. line)

4x+10+x+20=180

5x=150

x=30

plz make me brainliest

Which exponential function is represented by the values in the table?

Answers

Answer:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

[tex]f(x)=A\cdot r^x[/tex]

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = 4[/tex]

This gives the correct value of f(0)=4.

Substituting in the fourth function:

[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = \frac{1}{2}[/tex]

This choice is wrong

Correct choice:

[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]

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Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

(1/8)^2 is actually just (1/8)*(1/8)

We multiple the numerators, 1*1, to get 1,

And the denominators, 8*8, to get 64

So the anwser is (1/64)

Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. Is Charles’s reasoning correct? Explain why or why not.

Answers

Answer:

Charles's reasoning is wrong.

Step-by-step explanation:

Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.

Let's set up ratios.

So Lupita got the best deal, not Charles. Poor him.

PLEASE ASAP! Answer the questions to compare the mean number of deliveries for the three companies.
1. How many drivers did company C use in its sample?
2. What is the MAD for company C's data? Show your work.
3. Which company had the greatest mean number of deliveries?
4. Compare the means for companies A and B. By how many times the MAD do their
means differ? Show your work.

Answers

Answer:

1 is 20 or 10 2 is 2 3 is b 4 is 2

Step-by-step explanation:

Answer:

1 is 20 or 10 2 is 2 3 is b 4 is 2

Step-by-step explanation:

Which of the following shows 2x3y − 3x2 + 7y2x − 12y written in standard form?
a 2x3y + 7y2x − 3x2 − 12y
b −12y + 7y2x − 3x2 + 2x3y
c 7y2x − 12y + 2x3y − 3x2
d −12y − 3x2 + 7y2x + 2x3y

Answers

Answer:

a) 2x³y + 7y²x − 3x² − 12y is the right answer.

Step-by-step explanation:

Which of the following shows 2x³y − 3x² + 7y²x − 12y written in standard form?

a) 2x³y + 7y²x − 3x² − 12y

b) −12y + 7y²x − 3x² + 2x³y

c) 7y²x − 12y + 2x³y − 3x²

d) −12y − 3x² + 7y²x + 2x³y

Answer:

2x^3 y + 7y^2 x − 3x^2 − 12y

Step-by-step explanation:

(Just took test)

In order for it to be in standard form in needs to be in the proper order. So just rearrange the numbers to the correct spots to get your answer.

What is a inelastic collision
IF YOU WANT BRAINLIEST DESCRIBE IT IN YOUR OWN WORD PLS

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Think of inelastic Collison as a phenomenon whereby the colluding bodies do not rebound. That is the direction of motion of the two bodies after collision is in a single direction, moving with a single final velocity as opposed to bodies moving in different directions with differing final velocities after collision during an elastic collision. Therefore, the final kinetic energy during an inelastic Collison isn't conserved.

Mathematically,

Inelastic Collison can be written has :

m1u1 + m2u2 = v(m1 + m2)

Whereby ;

m1, m2 are masses of the first and second colliding objects

u1 and u2 are their initial velocities

Note that, we only have a single final velocity, v, which shows that the colliding objects move in the same direction after collision.

Sara and Fiona have played 53 tennis matches.

Sara has won 29 times.

Fiona won the rest.

a) Estimate the probability that Sara wins.

b) Estimate the probability that Fiona wins.

Answers

It is B I took the test

Answer: Sara = 29/53

Fiona = 24/53

Step-by-step explanation: because that amount is how much they have won and how much its out of so for example ‘i played 26 games i only won 17 and John won the rest’ the probability that i win is

17/26 and Johns would be 9/26

Typing 731 words in 17 minutes (words per minute)
Can you help me

Answers

43 words per minute types

Have to find x,y and z

Answers

Answer:

x=2, y=5

Step-by-step explanation:

the triangle that x is in is a right triangle (don't remember the theorem sorry)

use pythagorean theorem (a^2 + b^2 = c^2)

x is the hypotenuse(c)

1 squared plus /3 squared =c squared

1+3= c squared

4= c squared

c=2

x=2

find y using pythagorean theorem as well

/12 squared plus 2 squared = y squared

y is the hypotenuse

12+4=y squared

16= y squared

4=y

add one to account for that extra little piece

y=5

... I don't see z

Answer:

y= if it is the hypoteneuse for the whole triangle it √16 or 4, if it is the side of the smaller triangle it is 3

x=√4 which is 2

z= I don't think ther's a z

A cup is filled with pencils. The teacher sharpen 1/4 of them. A student sharpen 2/3 of them. The fraction of pencils left to be sharpened is?

Answers

Answer:

1/12

Step-by-step explanation:

1/4+2/3=11/12

Factor and solve 2x^2 – 3x – 20 = 0

Answers

Answer:

(2x + 5) (x-4)=0

Step-by-step explanation:

To find the quo 2/5 divided 1/4.

Answers

Answer:

A. Multiply 2/5 by 4

Step-by-step explanation:

Because when you dividend fraction

1,write the reciprocal of the second fraction number and multiply with the first fraction number

2,multiply the numerators and denominators of both fraction..

the reciprocal of 1/4 is 4/1 =4so the answer is 2/4 by4

Answer:

Step-by-step explanation:

Ghhhhhjhhbhhhhu

Mr. Worthington thinks that 3 + 5 is a binomial. What
would you tell him?
I

Answers

Answer:

3 + 5 = 8 which is a monomial

Step-by-step explanation:

a binomial has 2 terms; example, 3y + 5

Plsssssss help meeeeeeeeeeeee I need help

Answers

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

Y’all, lord have mercy
How am I in highschool, yet I don’t know how to solve this without a calculator

Answers

Answer:

4

Step-by-step explanation:

Answer:

Answer of this qn is. 4 hope it help s

Ok so I just got a 210 question test right and I have 1 day to complete it I'm on question 135 and it says 22,000 - 98,000 +23,967 X 456,889=

I don't know the answer plz help me, guys.

Answers

Answer:

10950182663

Step-by-step explanation:

Answer:

10950182663

Step-by-step explanation:

You're welcome :)

Find the slope of the line y = 9x - 1/2

Answers

Answer:

Step-by-step explanation:

m = 9

Step-by-step explanation:

y = mx + b is our formula

m stands for slope

9 is in place of m in the equation therefore 9 is the slope

Consider Brainliest

Simplify the expression (6 + 2^2) - 4 x 3

Answers

Answer:

-2

Step-by-step explanation:

(6 + 2^2) - 4 x 3

6 + 2 * 2 - 4 x 3

6 + 4 - 12

10 - 12

-2

solve for x using the correct order operations
12- (3 times 2)^2 + 4 times 3 = x
A x = -60
B x = -12
C x= 48
D x = 12
please help i will give brainliest :))

Answers

Answer:

B: x = -12

Step-by-step explanation:

12 - (3 × 2)^2 + 4 × 3

Use PEMDAS, meaning solve what's in the parentheses first (P stands for parentheses)

12 - (6)^2 + 4 × 3

We get 6 because 3 × 2 = 6

Next step is solve any exponents (E for exponents)

12 - 36 + 4 × 3

We get 36 because 6 × 6 = 36 (the exponent was 2 meaning multiply the same number, 6, twice: 6 × 6)

Now we move on to multiplication and division (M for multiplication and D for division)

These are interchangable in that either can go first depending on its location in the equation

However, since there is no division in this problem we automatically skip to multiplication

12 - 36 + 12

We answered 12 because 4 × 3 = 12

Our last steps in PEMDAS are addition and subtraction (A for addition and S for subtraction)

These are also interchangable, but both are apparent in this problem

Now it depends on location

Whichever sign (addition or subtraction) is first in accordance from left to right is where we start first)

Subtraction is first

-24 + 12

Now we add -24 + 12

-12

PLEASE HELP

Find f(2) if f(x) = (x + 1)2.
a 9
b 6
c 5

Answers

Answer:

b

Step-by-step explanation:

x = 2 in this situation, so plug in 2 for x.

f(2) = (x + 1)2

f(2) = (2 + 1)2

f(2) = (3)2

f(2) = 6

f(2) = 6. That means b is the answer.

7x + 2y = 12

-3x -2y = 4

Answers

Answer:

(4, -8) or x=4 y=-8

Step-by-step explanation:

Answer: x=4 and y=−8

Step-by-step explanation: 7x+2y=12, −3x−2y=4

7x+2y+−2y=12+−2y

7x /7 = −2y+12 /7

x= −2 /7 y+ 12 /7

−3( −2 /7 y+ 12 /7 )−2y=4

−8 /7 y+ −36 /7 + 36 /7 =4+ 36 /7

−8 /7 y / /−8/7 = 64 /7 /−8 /7

y=−8

x= −2 /7 y+ 12 /7

x= −2 /7 (−8)+ 12 /7

x=4

x=4 and y=−8

Find the perimeter of an isosceles triangle. base edge = 23cm and vertex angle = 42°

Answers

I think answer should be 20 I think I’m not 100 percent sure so please give me brainlest let me know if it’s correct or not okay thanks bye bye

100 POINTS. HELP ASAP !!! PLEASE PLEASE

Answers

Answer:

task 1 answer is 14

HELP MEHHHH DUE TODAY!!!
1. Explain the difference between using the cosine ratio to solve for a missing angle in a right triangle versus using the secant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view. (10 points)

2. Is a picture

3. is a picture

Answers

Answer:

number 1 is 60 number 2 is 9750

Step-by-step explanation:

dont delete

Help please!
And thank u

Answers

a/7 + a/3 = 10
a = 21

Answer:

[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]

a=21 is the right answer.

I need help pls I’m taking a test and I don’t know what to do.

Answers

B I think this needs to be longer answer but b

a shipwreck lies 125 below sea level

Answers

Answer:

-125

Step-by-step explanation:

Graph x < 5 on a number line

Answers

----------------5

that's how it should look

Step-by-step explanation:

5 is more than x so x goes behind the 5

Answer/Step-by-step explanation:

                         X is any variable less than 5

<------------------------------------------------------o

I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1   0  1   2  3  4  5  6  7  8  9 10

Decide which item is the better purchase in the scenario below.
12-oz. bag of chips for $3.40
or
a 3-oz. bag for $0.75
3-oz.bag
12-oz. bag

Answers

The 3oz is better than the 20
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