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3 years ago

Sq bisects angle RST, and m ankle RSQ = 2x-4. write an expression for candle RST

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

if SQ bisects ∡RST, that means SQ is cutting it into two equal halves, namely ∡TSQ = ∡RSQ, and since we know that ∡RSQ = 2x - 4, then ∡TSQ = 2x - 4, thus

∡RST = ∡TSQ + ∡RSQ

∡RST = (2x - 4) + (2x - 4)

∡RST = 4x - 8.

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what is the slope of the line through (1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (3,8)(3,8)

77julia77 [94]

The slope of the line passing through (1 , 0) and (3 , 8) is 4.

Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.

It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, $(x_{1}, y_{1} )$ and $(x_{2}, y_{2} )$ , to calculate the change in y over the change in x.

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ where

$x_{1} = 1$

$y_{1} = 0$

$x_{2} = 3$

$y_{2} = 8$

Substituting the values,

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{8-0}{3-1} =\frac{8}{2}=4$

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.

For more example on slope of line, visit brainly.com/question/3493733.

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7 0

2 years ago

a rectangular room is three times as long as it is wide, and its perimeter is 80 meters. find the length of the room

Hoochie [10]

Let the width of the room be = x

Length of the room = 3x, Since it is three times as wide

Perimeter = 80m

Perimeter = 2*(L + W) = 2*(3x + x) = 80

2*(3x + x) = 80

2*(4x) = 80

8x = 80 Divide both sides by 8

x = 80/8

x = 10, But length = 3x, = 3*10 = 30

Length = 30m

5 0

3 years ago

(hard.) in a certain psychology experiment, each subject is presented with three ordinary playing cards, face down. the subject

12345 [234]

The answer to this question would be 1/4
To answer this question you need to know what the same suit means and how many cards in a deck is. In the standard card, there are 52 cards in a deck. The deck also compromised of 4 suit which was clubs (♣), hearts (♥), spades (♠) and diamonds (♦), Each suit has the same number ratio from those 52 cards, which mean 13 cards for each suit.
In this test, the subject takes one of three cards first. There is no information about this card, so we can assume that it is completely random and having one of the 4 available suits. After that, the subject takes a card from the separate full deck.
Then the chance to get the same suit would be 13/52= 1/4 chance

7 0

3 years ago

A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substan

saveliy_v [14]

Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.

Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:

= 25/40 = 0.625.

The amount that will be removed in 59 hours will be:

= 59 × 0.625 = 36.875

The number of milligrams that will remain will be:

= 50 - 36.875 = 13.125 milligrams

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