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4 years ago

HELP I WILL GIVE BRAINLIEST

Mathematics

1 answer:

marissa [1.9K]4 years ago

5 0

Explanation:

Statements are numbered; reasons are in italics.

1. ABCD is a parallelogram with AB≅CD and BC≅AD. Given; definition of a parallelogram.

2. Diagonal AC ≅ diagonal CA. Reflexive property of congruence.

3. ΔABC ≅ ΔCDA. SSS congruence postulate.

4. ∠B ≅ ∠D. CPCTC. (Opposite angles B and D are congruent.)

5. Diagonal BD ≅ diagonal DB. Reflexive property of congruence.

6. ΔABD ≅ ΔCDB. SSS congruence postulate.

7. ∠A ≅ ∠C. CPCTC. (Opposite angles A and C are congruent.)

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Solve for x in the equation C = 8.5x + 6y. Show all work.

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First we move 6y to the other side. To do this, you subtract 6y on both sides

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G(x)=(x^2+1)(3x-5) what is the value of g(4)?

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3 years ago

Find the slope of the line passing through (3,5) and (-4,-10)

Rudiy27

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$\frac{15}{7}$

Step-by-step explanation:

Please see attached picture for full solution.

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3 years ago

Hi!

Elina [12.6K]

Answer:

404.09x cm³ (to 5 s.f.),

where x is the unknown height of the shape.

Step-by-step explanation:

Volume of the shape

= base area × height

= (large semicircle- small semicircle) × thickness of shape

Area of circle= $\pi {r}^{2}$

Area of semicircle= $\frac{1}{2} (\pi)( {r}^{2} )$

Diameter of small circle= 14

Radius= diameter ÷2

radius= 14 ÷2

radius = 7 cm

Area of small semicircle

$= \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi$

Radius of large semicircle

= 35 ÷2

= 17.5 cm

Area of large semicircle

$= \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi$

Base area of shape

$= \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi$

Since the height if the shape is not given, I'm afraid I cant help you find the volume.

Let the height of the shape be x cm.

Volume of shape= $\frac{1029x}{8} \pi \: cm^{3}$

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3 years ago