Mathematics High School

Find the values of x and y in the diagram.

Find The Values Of X And Y In The Diagram.

Answers

Answer 1

Step-by-step explanation:

the triangle URT is an Equilateral triangle so all angles are equal to 60°

and the full triangle UTS is a right angle .

5y= 90-60= 30°

y= 6

and since the triangle RST is an Isosceles triangle

so the angle RST and RTS are equal .

in this case =30° .

[tex] \sin(30) = \frac{x - 7}{11 + x - 7 } \\ \sin(30) = \frac{x - 7}{x + 4} \\ 0.5 = \frac{x - 7}{x + 4} \\ 0.5(x + 4) = (x - 7) \\ 0.5x + 2 = x - 7 \\ 0.5x = 9 \\ x = 18[/tex]

Related Questions

NEED HELP!!!!!!!!!!!!!!!!! Math problem! Please help!

Answers

Answer:

You are correct, it is C.

PLEASE HELP FAST I NEED IT
I WILL GIVE BRAINLEST AND 45 POINTS JUST PLEASE HELP HELP ME
joel invests 25,000 with an interest rate of 3.5% compounded quarterly after 9 years what is the total amount of joels investment?

Answers

Answer:

34,163.28

Step-by-step explanation:

If y = cos x, how many periods
will there be between
-4pi and 2pi

Answers

Answer:

Step-by-step explanation:

use the side-splitter theorem to find the value of x. use similar triangle to find y

Answers

Answer:

you have to set it up step by step

Step-by-step explanation:

hope this helps you get started

Help
Please due soon I would really appreciate it

Answers

Should be D. Let me know if you need more of an explanation.

which words name the shape ?​

Answers

Answer:

Parallelogram and rectangle

Step-by-step explanation:

Answer:

parallelogram and rectangle

plssss help me rnnnn asap

Answers

Answer:

3/8w

Step-by-step explanation:

simplify the expression by multiplying exponents.

What is the solution to this equation? 5(x - 6) + 4 = 7x - 4

Answers

5(x - 6) + 4 = 7x - 4

5x - 30 + 4 = 7x - 4

5x - 26 = 7x - 4

5x - 26 + 4 = 7x

5x - 22 = 7x

-22 = 7x - 5x

-22 = 2x

-22 / 2 = x

-11 = x

x = -11 is the solution to the given equation

If x = 12 and y = 3, what is the value
of |-x + 5y|?

Answers

Answer:

3

Step-by-step explanation:

First, let's solve whats in the absolute value. If wee plug in the values of x and y, we get -(12) + 5(3) which is -12 + 15. This equals to 3. Now concerning the absolute value, it makes the value inside it always positive. And since the answer is positive, that means it remains the same.

I hate getmoremath... domain as an inequality and range as an inequality pls

Answers

Answer:

The domain and range of a linear inequality is always all real numbers, regardless of the sign of inequality. The range of absolute value inequalities will depend on the vertex. With polynomial inequalities, intervals of the x values created from zeros will determine the domain and range.

Step-by-step explanation:

WILL GIVE BRAINLIEST

PLEASE HURRY! I HAVE ONLY 3 HOURS BEFORE EVERYTHING HAS TO BE SUBMITTED AND I HAVE A LOT DUE!!


What is 1/3 of 4/7?

A. 4/21
B. 5/21
C. 4/10
D. 5/10

Answers

A. 4/21

you want to multiply 1/3 by 4/7 since the question uses the word “of”

Answer:

The  answer is A.

Hope this helps good luck with online class!

Step-by-step explanation:

4 times 1 = 4

3 times 7 = 21

4/21 'of' means multiply or times!

Which inequality is graphed below?

Answers

Answer:

Inequality: y ≥ -1/2 + 2

Use the graph to find the unit rate for renting a kayak.​

Answers

Answer:

Unit rate: $15 per hour

ordered pair: (1 ,15)

Step-by-step explanation:

30 ÷ 2 = 15

45 ÷ 3 = 15  

--------------------------------------------------------------------------------------------------------  

they both have 15, which means the graph is proportional and the unit rate is $15 per hour

Find the value of n×8 when n =6

×- 6y

Answers

Answer:

6x8 is a easy multiplication problem that equals 48

Step-by-step explanation:

Uhhhhh free points cause I love points and uhhhhh yeah

Answer: The answer of n x 8 is  

Step-by-step explanation:

A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums

Answers

can you please state the question more clear
6.75% should be the answer

Can anyone tell me what "x" equals. Thx.

Answers

-6x-1=23

=> -6x=1+23

=> -6x=24

=> x= 24/-6

=> x= -4

Hope it helps!

Step-by-step explanation:

Hey there!

Given;

[tex] - 6x - 1 = 23[/tex]

~ Shift "-1" on right side.

[tex] - 6x = 23 + 1[/tex]

[tex] - 6x = 24[/tex]

~Divide 24 by -6.

[tex]x = \frac{24}{ - 6} [/tex]

Therefore, x= -4.

Hope it helps...

Please help me I’ll will be marking brainliest please

Answers

Answer:

it would cost $34.50 to purchase 7.5 lbs of walnuts.

Answer:

$34.50

Step-by-step explanation:

First find out how much 1/4 of a lb will cost.

3.45/3= 1.15

This is the cost for only 1/4 a lbs of chopped walnuts. Take this number and multiply it by 4 to find how much it would cost for 1 whole pound of walnuts.

1.15x4= 4.60

It costs $4.60 for a whole pound of walnuts. If you are trying to find how much it costs for 7.5 lbs, then multiply 4.60 by 7.5.

4.60x7.5= 34.5

For 7.5 lbs of walnuts will cost $34.50


Complete the patterns of equivalent ratios by filling in the gaps.
18:9
_ :7
10:5
6: _
2:_

Answers

Answer:

18:9

14:7

10:5

6:3

2:1

Step-by-step explanation:

I know this because 9 is half of 18, and so 7*2 is 14, and the rest is self explanatory.

14:7
6:3
2:1

Your welcome

Lee is making scarfs for a shelter. He purchased 11 skeins of yarn. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf. How many scarfs can lee make for the shelter

Answers

Answer:

12

Step-by-step explanation:

skeins of yarn purchased = 11

Feets per skein = 660 feets

Total number of feets purchased = (11 * 660) = 7260 feets

To make a scarf :

1 scarf = 200 yards

Recall :

1 yard = 3 feets

Hence,

1 scarf = (200 *3) = 600 feets

Number of scarf that can be made :

Total feets of yarn / Number of feets per scarf

= 7260 / 600

= 12.1

Hence, number of scarfLee can make for shelter is 12 (nearest whole number)

What is the value of x to the nearest tenth, given that PQ is an angle bisector?

HURRY I NEED THE ANSWER QUICKLY PLEASE
I HAVE NIT PICKED THE ANSWER YET

Answers

Answer:

x = 7

because PQ is an angle bisector

=> RQ/PR = QS/PS

<=> (x - 3)/x = 8/14 = 4/7

<=> 7(x - 3) = 4x

<=> 7x - 21 = 4x

<=> 3x = 21

<=> x = 7

HELpppPpPpPpPpPpppppppp

Answers

Answer:

C.

Step-by-step explanation:

Original square: 20 * 20 = 400

One triangle: 4 * 4 / 2 = 16 / 2 = 8

So that means 4 triangles would be: 8 * 4 = 32.

The last step is to do 400 - 32 = C. 368

If m
•35
•25
•50
•85

Answers

What is the question we're supposed to be answering?

what is the exterior angle of 30°

Answers

The exterior angle would be 150 degrees (180-30).

Answer:

tyj6rtyejuku

Step-by-step explanation:

Martha wants to build a rectangular wooden border around the perimeter of her children's playground. She can find the perimeter by using the formula 2w + 2l. The length, l, is 12 feet and the width, w, is 10 feet. What is the perimeter of Martha's wooden border?

Answers

Answer: The perimeter of Martha's wooden border = 44 feet.

Step-by-step explanation:

Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length

If l= 12 feet and w = 10 feet

Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet

The perimeter of Martha's wooden border = 20+24 feet

The perimeter of Martha's wooden border = 44 feet

Therefore, the perimeter of Martha's wooden border = 44 feet.

plz help me I dont understand

Answers

Answer:

c.) [tex]y=6x-5[/tex]

m is the slope.

b is the y-intercept.

Slope intercept form is [tex]y=mx+b[/tex].

You and some friends rent a limousine for a formal reception. The bill for the evening is $70.00. A tax of 8% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total?
$95.00
$98.00
$89.60
$10100​

Answers

The answer is no of those options

Explanation:

20% of $70 is $14

8% of $70 is $5.60

$70-$5.60+$14= $78.40

A jewellery shop sells 240 items in a month, 180 was sold online the rest were sold in store. Work out the ratio of online sales to in store sales

Answers

Answer:

3 : 1

Step-by-step explanation:

180 out of 240 sold online so (240 - 18) sold in store

180 : 60

18 : 6

3 : 1

Can anyone answer this?​

Answers

Answer:

Answer what

Step-by-step explanation:

I have no idea what you need us to answer

Find the factors of these trinomials

Answers

Answer:

10: (2m+12)(2m+12)

11: (2r-12)(2r-12)

Step-by-step explanation:

4m^2+48m+144

all positive so factored also all positive

(2m+12)(2m+12)

4r^2-48r+144

middle value is negative but others are positive. this means two are negative

(2r-12)(2r-12)


At the start of the road, a lamp post, a dust bin and a bench are placed together. Lamp post, dust bins
and benches are placed at intervals of 70 m, 56 m and 84 m respectively along a stretch of road 8 km
long. Whenever the three objects are placed together, they will be painted blue.
(a) How far away from the start of the road is the second set of the 3 blue objects?
(b) How many lamp posts are there between every 2 sets of blue objects?
No

Answers

70 = 2*5*7
56 = 2*2*2*7
84 = 2*2*3*7
Least common multiple of 70,56,84 = 2*2*2*3*5*7 = 840

The second set of blues is 2*840 = 1680 meters from the start
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