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2 years ago

If ST≅SV and m∠SUT=68°, what is m∠TUV?

Mathematics

1 answer:

artcher [175]2 years ago

6 0

Answer:

136

Step-by-step explanation:

Take 68 x 2 since the side lengths are equal.

You might be interested in

Determine the 20th term of the sequence: -14,-8, -2, 4, 10,

Pie

Answer: The 20th term is 100

Step-by-step explanation: It adds by 6 each time

-14, -8, -2, 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76, 82, 88, 94, 100

3 0

2 years ago

Compare the numbers. Use >, =, or <

lesya692 [45]

Answer:

746.982 > 746.963

68.098 < 68.987

589.987 = 589.987

Step-by-step explanation:

4 0

3 years ago

The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new functio

kap26 [50]

Answer:

The new function is (x + 7)² - 47 ⇒ the 3rd answer

Step-by-step explanation:

* Lets put the function f(x) in the vertex form at first and then make

the translation

∵ The general form of the quadratic function is

f(x) = ax² + bx + c

∵ The x-coordinate of the vertex of the function is -b/2a

∵ The y-coordinate of the vertex of the function is f(-b/2a)

- Lets find a , b from the function two find the vertex point

∵ f(x) = x² + 22x + 58

∴ a = 1 , b = 22 , c = 58

∵ x-coordinate of the vertex = -b/2a

∴ x-coordinate of the vertex = -22/2(1) = -11

∵ y-coordinate of the vertex = f(-11)

∴ f(-11) = (-11)² + 22(-11) + 58 = 121 - 242 + 58 = -63

∴ The vertex point is (-11 , -63)

- The vertex form of the quadratic function is f(x) = (x - h)² + k , where

(h , k) are the coordinates of the vertex point

∵ The vertex point is (-11 , -63)

∴ h = -11 , k = -63

∴ f(x) = (x - -11)² + -63

∴ f(x) = (x + 11)² - 63

* lets revise the rules of the translation

- If the function f(x) translated horizontally to the right

by m units, then the new function g(x) = f(x - m)

- If the function f(x) translated horizontally to the left

by m units, then the new function g(x) = f(x + m)

- If the function f(x) translated vertically up

by n units, then the new function g(x) = f(x) + n

- If the function f(x) translated vertically down

by n units, then the new function g(x) = f(x) – n

∵ f(x) will translate 4 units to the right

∴ m = 4

∵ f(x) ⇒ f(x - m)

∴ (x + 11)² ⇒ (x + 11 - 4)² = (x + 7)²

∵f(x) will translate 16 units up

∴ -63 will add by 16

∴ n = 16

∴ f(x) ⇒ f(x) + n

∵ -63 + 16 = -47

∴ The new function is (x + 7)² - 47

5 0

3 years ago

Read 2 more answers

Evaluate the expression when f = 4.16/f

astraxan [27]

9514 1404 393

Answer:

Step-by-step explanation:

Maybe you want the value of 16/f when f=4. Put the value of f where f is and do the arithmetic.

$\dfrac{16}{f}=\dfrac{16}{4}=\boxed{4}$

5 0

2 years ago

Suppose two $20 bills, three $10 bills, one $5 bill, and seven $1 bills are placed in a bag. If you were to pull a bill at rando

Korolek [52]

Answer:

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is $\frac{7}{13}$ .

Step-by-step explanation:

From the given question, the bag contains;

$1 bill = 7

$5 bill = 1

$10 bill = 3

$20 bill = 2

Total number of bills in the bag = 13

Pulling a bill at random, the bills would have an expected value as follows:

For $1 bill, the expected value = $\frac{7}{13}$

For $5 bill, expected value = $\frac{1}{13}$

For $10 bill, expected value = $\frac{3}{13}$

For $20 bill, the expected value = $\frac{2}{13}$

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is $\frac{7}{13}$ .

6 0

3 years ago