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3 years ago

Ichiro dilated triangle ABF with a scale factor of 2.

Mathematics

1 answer:

Alisiya [41]3 years ago

5 0

Dilating a shape by a number more than 1 means to make it bigger. This means that each point will be multiples by 2. You can do this individually and get your answer. I hope this helps you.

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The diagram shows a sketch of a survey done by a civil engineering student .Find the value of x,giving your answer correct to 1

Hatshy [7]

You can do this by drawing one line through parallel to PQS to meet RQ at T

Now calculate length of RT:-

cos 70 = RT / 70 giving RT = 23.94m

sin 70 = ST/70 giving ST = 65.78 m

draw a line from S perpendicular to PQ to meet PQ at U.

PU = 110 - 65.78 = 44.22 m

tan 50 = SU / 44.22 giving SU = 52.70 m

TQ = SU = 52.70 m

So x = TQ + RT = 52.70 + 23.94 = 76.6 m to 1 dec place.

7 0

3 years ago

In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin

Mademuasel [1]

Answer: $7\frac{5}{7}$ unit and 18 unit

Step-by-step explanation:

Let ABCD is a trapezoid where AB and CD are the bases. ( In which AB is greatest base which shown in below figure)

AD and BC are the legs of the trapezoid ABCD.

Now, we have ( According to the question ),

AB = 18 unit, BC = 7 unit, AD = 3 unit and DC = 11 unit.

Here the leg AD extends from point D.

Similarly leg BC extends from point C.

Let they meet at point P ( shown in below diagram)

Since In triangles PAB and PDC,

∠PDC ≅ ∠PAB ( because DC ║ AB )

And, ∠ PAB ≅ ∠ PBA

∠DPC ≅ ∠ APB ( reflexive)

Therefore, By AAA similarity postulate,

$\triangle PDC \sim \triangle PAB$

Thus, By the definition of similarity,

$\frac{PD}{PA} = \frac{DC}{AB}$

$\frac{PD}{PD+3} = \frac{11}{18}$ ( because PA = PD+DA)

⇒ 18 PD = 11 PD +33

⇒7PD = 33

⇒ PD = 33/7

Again by the definition of similarity,

$\frac{PC}{PB} = \frac{DC}{AB}$

$\frac{PC}{PC+7} = \frac{11}{18}$ ( because PB = PC + CB)

⇒ 18 PC = 11 PD +77

⇒7PC = 77

⇒ PC = 11

Thus, PA = PD+DA = 33/7 + 3 = $7\frac{5}{7}$

And, PB = PC + CB = 11 + 7 = 18

8 0

3 years ago

Need help nowwww!!! With 1 threw 8

JulijaS [17]

1. B

2. B

3.C

4.B

5.B

6.A

6 0

2 years ago

- 5<br> 4<br> =<br> 2x - 3<br> 5x -5

Zinaida [17]

Answer:

x = 49/33

Hope this helps you! Even though there's no explanation... (I'm really bad at explaining, I'm just good at doing...)

3 0

2 years ago

- Round each number to four decimal places: a. 5.16 b. 5.27

DochEvi [55]

Answer:

wym by 4 decimal places

Step-by-step explanation:

5 0

2 years ago