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3 years ago

PLS HELP I NEED IT REALLY FAST WILL AWARD BRAINLIEST!! MAKE SURE TO INCLUDE HOW YOU DID IT.

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

5 0

Answer:

x-intercept = (2,0)

y-intercept = (0,6)

Step-by-step explanation:

the x-intercept is when

y=0

$y=-3x+6\\\\0=-3x+6\\\\3x=6\\\\x=2$

so the x-intercept is

(2,0)

the y-intercept is when x=0

$y=-3x+6\\\\y=-3(0)+6\\\\y=0+6\\\\y=6$

so the y-intercept is

(0,6)

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Given: ABCD is a ∥-gram, BF ⊥ CD , BE ⊥ AD, Prove: △ABE∼△CBF

drek231 [11]

Answer:

Hence proved △ABE∼△CBF.

Step-by-step explanation:

Given,

ABCD is a parallelogram.

BF ⊥ CD and

BE ⊥ AD

To Prove : △ABE∼△CBF

We have drawn the diagram for your reference.

Proof:

Since ABCD is a parallelogram,

So according to the property of parallelogram opposite angles are equal in measure.

$\therefore m\angle A = m\angle B$ ⇒1

And given that BF ⊥ CD and BE ⊥ AD.

So we can say that;

$m\angle F=m\angle E=90\°$ ⇒2

Now In △ABE and △CBF

∠A = ∠C (from 1)

∠E = ∠F (from 2)

So by A.A. similarity postulate;

△ABE∼△CBF

7 0

3 years ago

jeka57 [31]

Answer:

The scale factor is $\frac{3}{2}$

Step-by-step explanation:

The volume of the original prism is $V_P=980cm^3$

The volume of the dilated prism is $V_Q=3307.5cm^3$

Let the scale factor be $k$ .

To find the volume of the dilated prism, we multiplied by $k^3$ .

$\Rightarrow 980k^3=3307.5$

$\Rightarrow k^3=\frac{3307.5}{980}$

$\Rightarrow k^3=\frac{27}{8}$

$\Rightarrow k=\sqrt[3]{\frac{27}{8}}$

$\Rightarrow k=\frac{3}{2}$

8 0

2 years ago