Which is the best estimate for 19% of 205? A- 40 B- 50 C- 100 D- 400

The Domain (x-values and independent variable) would be the time of day

The Range (y-values and dependent variable) would be the amount of people in a movie theater

5 0

2 years ago

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

2 years ago

A pack of five basic solid T-shirts costs $29.95 in a store. The sales tax where they are sold is 7.75%. What is the unit cost o

Anna71 [15]

Answer:

6.45

Step-by-step explanation:

29.95+7.75%=32.27

32.27/5

6.45

3 0

2 years ago

Read 2 more answers

Evaluate each expression. 1. 56/b for b=7 2. v+16 for v=9 3.2(4e) for e=5

Firdavs [7]

1. 8
2. 25
3.40
plug in the expressions

6 0

3 years ago

What is the gcf of 12 and 36

timofeeve [1]

The gcf would be 12 because both 12 and 36 can be divided by 12 and it is the highest number

4 0

3 years ago