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3 years ago

Look at pic down underrr

Mathematics

1 answer:

dimulka [17.4K]3 years ago

7 0

Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS CPCTC

Just draw a reverse angle,hence you get comparison.

So, satisfying S-S-S

RUS ≅ SUT

RSU ≅ TUS

So, angle

URS = angle TUS

2. Pythagoras Theorem

Triangle RUS

A^2 + B^2 = C^2

Uu^2 + Ss^2 = Rr^2

√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

√Tt = Tt^2 = x

UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles TUS = 30 degree

As all adjacent angles in a triangle add up to 180 degree.

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What is the equation of the given line in the point slope -form ?

ladessa [460]

Answer:

see below

Step-by-step explanation:

We are given two points (3,4) and (0,1)

so we can find the slope

m = ( y2-y1)/(x2-x1)

= (1-4)/(0-3)

= -3/-3

= 1

The point slope form is

( y-y1) = m(x-x1)

y - (4) = 1 (x-3)

y - (4) = (x-3)

or using the other point

y - 1 = 1( x-0)

y - 1 = x

8 0

3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

4 years ago

Not enough INFO sas sss

shepuryov [24]

$\huge \bf༆ Answer ༄$

The given triangles are similar by ~

$\textsf{SSS criteria }$

8 0

3 years ago

the area of rhode island is approximately 1200 square miles, and its population is approximately 1 million people. What is the b

devlian [24]

Answer: 1,083.3333

Step-by-step explanation:

The best estimate for the population density for Rhode Island is 1,083 people. I found this by dividing 1,300,000 by 1200.

Hope my answer helps you out :D

5 0

3 years ago

4 1/2÷ 1 1/4 correctly answer in simplest form

g100num [7]

Answer:

3 3/5

Step-by-step explanation:

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3 years ago