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3 years ago

VWX and TUX are equilateral complete proof that UV = TW

Mathematics

1 answer:

jonny [76]3 years ago

7 0

Answer:

6. Side Angle Side (SAS)

7. Definition of congruence

Step-by-step explanation:

With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:

Statement Reason

1. ΔVWX is equilateral Given

2. ΔTUX is equilateral Given

3. VX ≅ WX Definition of equilateral triangle

4. TX ≅ UX Definition of equilateral triangle

5. <TXW ≅ <UXV Vertical Angle Theorem

6. ΔTWX ≅ ΔUVX Side Angle Side (SAS)

7. UV ≅TW Definition of congruence

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3 years ago

The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters

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Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: $h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d$

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Solution:

(a)

$-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres$

(b)

Put d = 100 in $h=-0.002d^2+0.3d$

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3 years ago

SOLVE FASTTT

kherson [118]

Answer:

Step-by-step explanation:

Area of triangle is 40 cm² correct to nearest 5cm² .

∴ Area of triangle = ( 40 ± 5) cm²

∴ upper bound for area of triangle is = (40 + 5) cm² = 45cm²

Base of triangle = 9cm

∵ area of triangle = 1/2 base × height

height = 2 × area of triangle/base

∴ upper bound for height of triangle = 2 × upper bound area/base

= 2 × 45/9 = 10cm

Hence answer is 10cm

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