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3 years ago

△RQS is similar to △TQU by the AA similarity postulate. What is the measure of angle R ?

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

Answer:

60°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

∠R + 88° + 32° = 180°

∠R = 60° . . . . . . subtract 120° from both sides of the equation

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

2 years ago

What is y in the equation 7/5y=3-1/5

enot [183]

Answer:2

Step-by-step explanation:first you subtract 3 and 1/5 and you'll get 2 4/5 then make that an improper fraction which will be 14/5 and then flip your 7/5 and multiply both sides by it so your 7/5 will be multiplied by 5/7 and they will cancel out the you take 14/5 and multiply it by 5/7 and you'll get y=2

3 0

3 years ago

Find x in the following 45°-45°-90° right triangle. Geometry!!! pls help

laila [671]

Answer:

Step-by-step explanation: