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3 years ago

Which of the following theorems verifies that WVU = RST?

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer: C. LA

Explanation:

Angle W = Angle R (given)
VU = ST (given)
Angle U = Angle T = 90 (right angle of the right triangle)

Then we can say that triangle VWU = SRT (ASA)

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Simplify (5 + 1)2 - (11 + 32) + 4.

4vir4ik [10]

Answer:

Step-by-step explanation:

The trick here is to know PEMDAS.

PEMDAS stands for: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

This is the order in which you should simplify a problem.

Parentheses:

(5 + 1)^2 - (11 + 32) + 4

(6)^2 - (43) + 4

Exponents:

(6)^2 - (43) + 4

36 - 34 + 4

We have no multiplication or division, so we can skip those steps.

Addition:

36 - 34 + 4

40 - 34

Subtraction:

40 - 34

So 6 is our answer.

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3 years ago

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Write the equation of a line with a slope of 3 and a y-intercept of 1.

noname [10]

Take a look at the image below.

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3 years ago

A coin is tossed 6 times, what is the probability of getting six tails?

Leno4ka [110]

0.5^6 = 0.0156

Assuming an unbiased coin.

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3 years ago

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4 yards to 30 inches write each ratio in simplest form

MissTica

Answer:

24:5

Step-by-step explanation:

4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5

6 0

3 years ago

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

5 0

3 years ago