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3 years ago

complete the proof. give: EH and GI bisect each other. prove: triangle EFI is congruent to triangle HFG

Mathematics

2 answers:

qaws [65]3 years ago

5 0

<span>A. 4. EFI = HFG 4. Vertical angles
5. EFI = HFG 5. SAS
is this it?</span>

Vanyuwa [196]3 years ago

5 0

Given: Line Segment EH and GI bisect each other at F.

To Prove : Δ EFI ≅ ΔHFG

Proof:

In Δ E F I and ΔH F G

E F = F H→→[Given]

G F = F I →→[Given]

∠ E F I ≅ ∠ G F H→→[Vertically opposite angles]

Δ EFI ≅ ΔHFG→→→[Side Angle Side Congruency criterion]

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(x + 4)2 – 3(x + 4) – 3 = 0 Select the solution(s) of the original equation.

Aneli [31]

Answer:

x=−7

Step-by-step explanation:

(x+4)(2)−3(x+4)−3=0

(x)(2)+(4)(2)+(−3)(x)+(−3)(4)+−3=0(Distribute)

2x+8+−3x+−12+−3=0

(2x+−3x)+(8+−12+−3)=0(Combine Like Terms)

−x+−7=0

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2 years ago

A farmer has 140 bushels of beans for sale at a farmer's market. He sells an average of 15 bushels each day. After 6 days, what

Licemer1 [7]

Answer:

15 * 6 = 90

140 - 90

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2 years ago

Which expression represents the volume, in cubic units, of the composite figure?

Kipish [7]

The missing figure is attached

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28) ⇒ 1st answer

Step-by-step explanation:

The figure consists of

Two hemispheres
A cylinder

The volume of the hemisphere = $\frac{2}{3}\pi r^{3}$ , where r is its radius

The volume of the cylinder = πr²h, where r is its radius and h is its height

∵ The diameter of the hemisphere s and the cylinder is 20 units

∵ The radius = $\frac{1}{2}$ diameter

∴ The radius = $\frac{1}{2}$ × 20 = 10 units

∵ The volume of a hemisphere = $\frac{2}{3}$ πr³

∵ r = 10

- Substitute r by 10 in the rule

∴ The volume of a hemisphere = $\frac{2}{3}$ π(10)³

∵ The volume of the cylinder = πr²h

∵ h = 28 and r = 10

- Substitute h by 28 and r by 10 in the rule

∴ The volume of the cylinder = π(10)²(28)

∵ The volume of the figure = 2(volume of a hemisphere) +

volume of the cylinder

∴ The volume of the figure = 2( $\frac{2}{3}$ )π(10)³ + π(10)²(28)

∵ 2 × $\frac{2}{3}$ = $\frac{4}{3}$

∴ The volume of the figure = $\frac{4}{3}$ π(10)³ + π(10)²(28)

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28)

Learn more:

You can learn more about the volume of figures in brainly.com/question/12497249

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

A train traveling at 10m/s slows down to a complete stop in 20s. What is the

Flauer [41]

Answer:

The acceleration of the train is 0.5m/s²

Step-by-step explanation:

Given

Velocity of the train = 10m/s

Time taken = 20 s

Required

Find the acceleration of the train.

The Acceleration if an object is the rate of change of the velocity of the object over time.

In other words, acceleration is calculated by dividing velocity by time.

Mathematically,

Acceleration = velocity ÷ Time

By substituting 10m/s for velocity and 20s for time, we have

Acceleration = 10m/s ÷ 20s

Acceleration = 10/20 m/s²

Acceleration = ½m/s²

Acceleration = 0.5m/s²

Hence, the acceleration of the train is 0.5m/s²

6 0

3 years ago

Are 2.7, 3.6, and 4.5 a pythagorean triple

grigory [225]

They are because 2.7 squared + 3.6 squared = 4.5 squared (=20.25)

Pythagoras Theorem is that a squared + b squared = c squared

So the 2 smallest numbers squared will equal the larger one squared if it is a pythagoreom triple

7 0

3 years ago