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nikklg [1K]
3 years ago
15

Find the value of x. The diagram is not to scale. Given RS=ST, m RST=7x-54, mSTU=8x

Mathematics
2 answers:
stepan [7]3 years ago
6 0
In this question, the triangle has 2 same <span>side:SR=ST</span>. That mean the angle of R will be same as T.
S= 7x-54
If STU=8x then T=R= 180-8x


If you add all 3 angle of triangle it will be 180. Then,
R+S+T= 180
7x-54 + (180-8x)+(180-8x)= 180
7x +360-16x= 180+54
-9x= 234-360
x= 14
Angelina_Jolie [31]3 years ago
3 0

Answer:

x=14 so the answer is a

Step-by-step explanation:

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Please help me!
Alexxandr [17]

A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.

We can use the Pythagorean formula to find the other leg of the right triangle.

a²+b²=c²

Where a and b are the legs of the triangle and c is the hypotenuse.

According to the given problem,

one leg: a= 5m and hypotenuse: c=13√5 m.

So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,

5²+b²=(13√5)²

25 + b² = 13²*(√5)²

25 + b² = 169* 5

25+ b² = 845

25 + b² - 25 = 845 - 25

b² = 820

b =√ 820

b = √(4*205)

b = √4 *√205

b = 2√205

b= 2* 14.32

b = 28.64

So, b= 28.6 (Rounded to one decimal place)

Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).

5 0
3 years ago
9c- 3z = 3(___c- ___z)
Vladimir79 [104]

Answer:

3 and 1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
5. Amber buys bottles of lemonade and a bag of cookies at the store. She pays a total of $9.50. The bag of cookies cost $3.25. I
Anika [276]

Answer:

each bottle was 1.25

Step-by-step explanation:

subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade

3 0
2 years ago
Read 2 more answers
Simplify: 6 + (5 + 4) * 3
son4ous [18]

Answer:

33

Step-by-step explanation:

9 x 3 = 27 + 6 = 33

7 0
2 years ago
Read 2 more answers
7. Which of the following statements is not
Amiraneli [1.4K]

Answer:

c

Step-by-step explanation:

it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11

(B) the square root of 180 is 13.42 which is between 13&14

(c) the square root of 12 is 3.46 which is not between 4&5

6 0
3 years ago
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