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3 years ago

What common angle do CDG AND FCE share?

Mathematics

2 answers:

user100 [1]3 years ago

4 0

Answer:

The correct option is 4.

Step-by-step explanation:

From the given figure it is noticed that the triangle CDG and triangle FCE have a common vertex C. So both triangle are sharing same angle at vertex C.

In triangle CDG and triangle FCE

$\angle GCD\cong \angle FCE$

If the length of two adjacent sides increases, then the inclined angle remains the same.

If the side CD increased to E and side CF increased to G, then

$\angle GCE\cong \angle ECG$

Therefore option 4 is correct.

Mashutka [201]3 years ago

3 0

Triangle CGD and triangle CEF both share the same angle at point C.
This means angle GCE equals to angle ECG

Answer: GCE is congruent to ECG

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Antonio runs 5 3/4 miles a day. After 5 days, how many miles has he completed

soldi70 [24.7K]

Step-by-step explanation:

No of miles a day = 5.75 miles

No of miles after 5 days = 5.75 x 5 = 28.75 miles

4 0

3 years ago

Alyssa scored x goals during the soccer game yesterday. Today she scored 3 times as many goals. She scored a total of 4 goals du

damaskus [11]

Answer:

Alyssa had scored 3 goals today.

Step-by-step explanation:

Given:

Number of goals scored yesterday = $x$

Total number of goals scored in 2 games = 4

We need to find the number of goals scored today.

Solution:

Now Given:

Today she scored 3 times as many goals than yesterday.

So we can say that;

Number of goals scored today = $3x$

Now we know that;

Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.

framing in equation form we get;

$x+3x=4\\\\4x=4$

Dividing both side by 4 we get;

$\frac{4x}{4} =\frac{4}{4}\\\\x=1$

Number of goals scored yesterday = 1

Number of goals scored today = $3x = 3\times1 =3$

Hence Alyssa had scored 3 goals today.

6 0

3 years ago

The radius of the base of a cylinder is 27 cm and it’s height is 33cm. Find the surface area of the cylinder in terms of pi.

Dahasolnce [82]

Answer:

10178.76

Step-by-step explanation:

use formula:-2πrh+2πr^2

6 0

3 years ago

The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?

Serhud [2]

Answer:

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

Step-by-step explanation:

Given - The circumference of the ellipse approximated by $C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }$ where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

$C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }$

Squaring Both sides, we get

$[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }$

$\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b$

∴ we get

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

8 0

3 years ago

10 points.............

lions [1.4K]

2nd one is the answer to it.

8 0

3 years ago

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