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2 years ago

Which expression matches the graph?

Mathematics

1 answer:

Klio2033 [76]2 years ago

5 0

Answer:

Step-by-step explanation:

$n \leqslant 1$

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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

Every 10 seconds, a printing company prints 50 books. How many books are printed in 1 minute?

Svetlanka [38]

Answer:

300 books

Step-by-step explanation:

10 x 6 = 1 min

50 x 6 = 300

8 0

2 years ago

Read 2 more answers

Pls help w these thx <33

stepladder [879]

Answer:

36.81233927

13.02532494

Step-by-step explanation:

You need to use the law of sine for both of them

the law of sine is as follows:

$\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}$

Question 1:

$\frac{15}{\sin(64)}=\frac{10}{\sin(y)}\\y=36.81233927$

Question 2:

Let x= AB

Start by solving for the missing angle, 53

$\frac{8.4}{\sin(31)}=\frac{x}{\sin(53)}$

x= 13.02532494

I will leave you to round the answers

7 0

2 years ago

Francisco’s recipe for cookies calls for 3/4 cups of sugar, 2 1/2 cups of flour and 3 eggs.If you want to use half as much sugar

LenaWriter [7]

Answer:

1.125

Step-by-step explanation:

(½ of ¾)×3

⅜×3 = 9/8 or 1 1/8 or 1.125 cups of sugar

8 0

3 years ago

Can someone help me with these?

jolli1 [7]

I hope this helps you

4 0

2 years ago