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3 years ago

Are corresponding angles in similar figures congruent?

Mathematics

1 answer:

Gala2k [10]3 years ago

3 0

Answer:

yes

Step-by-step explanation:

Only the lengths change, not the angles.

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

2 years ago

A triangle has side lengths of 12 cm and 35 cm and 37 cm. Classify it as acute, obtuse or right

Lapatulllka [165]

This triangle would be acute none of the angles are greater than or equal to 90.

4 0

2 years ago

Read 2 more answers

A farm lets you pick 3 pints of raspberries for 12.00 what is the price per pint/

BaLLatris [955]

Answer:

Step-by-step explanation:

I tried to make it as simple as possible.

8 0

2 years ago

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In a class of 40 students, 5 like neither Nokia nor

STatiana [176]

Answer:

The number of students that like only Nokia

Step-by-step explanation:

consider N the number of students who like Nokia → N=?

T the number of students who like Techno → T=35

Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno

we can translate it like this: 35 student like Nokia or Techno

we can note it like this : T∪N= 35

Statement 2: 30 like Techno and Nokia

we can note it : T∩N = 30

using a rule concerning the number of element of a set :

T∪N = N + T - T∩N

then

35 = N + 35 - 30

⇒ N - 30 = 0

⇒ N = 30

7 0

2 years ago

If 5 times a number increased by 30 is 15, what is the number?

weqwewe [10]

Answer:

let x=the number

5x+30=15

5x=15-30

5x=-15

5x/5=-15/5

x=-3

3 0

2 years ago

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