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3 years ago

PLEAAAASE HELP!!!!!!

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

The answer you have selected in the photo is correct

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Will someone please help me!!! I don’t know the answer to these! I don’t even know if I did them right!

Varvara68 [4.7K]

Answer:

$BD = 12$ units

$AB = 16$ units

$FG=\sqrt{105}$

$EC=4\sqrt{10}$ units

$AC=8\sqrt{10}$ units

Step-by-step explanation:

A circumcenter is the point where the perpendicular bisectors of a triangle intersect.

This means

BD = DC;
BF = FA;
AE = EC.

Since BC = 24 units, then BD = 12 units (half of BC).

Since FA = 8 units, AB = 16 units (twice FA).

Consider right triangle BGF. In this triangle, BF = 8 units (congruent to FA), BG = 13 units. By the Pythagorean theorem,

$FG^2=BG^2-BF^2\\ \\FG^2=13^2-8^2\\ \\FG^2=169-64=105\\ \\FG=\sqrt{105}\ units$

Triangles BFG and AFG are congruent right triangles, then BG = AG. In right triangle AGE, $GE=3$ units, $AG=13$ units. By the Pythagorean theorem,

$AE^2=AG^2-GE^2\\ \\AE^2=13^2-3^2=169-9=160\\ \\AE=\sqrt{160}=4\sqrt{10}\ units$

$AE = EC=4\sqrt{10}\ units$

$AC = 2AE=2\cdot 4\sqrt{10}=8\sqrt{10}\ units$

5 0

3 years ago

£8658 is shared equally between 9 people. How much does each person get?<br> £

valkas [14]

Answer:

962

Step-by-step explanation:

8658/9

8 0

2 years ago

Read 2 more answers

Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan ride

irinina [24]

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

$v_{R} = \frac{x_{R}}{t}$

$x_{R} = v_{R}t$ (1)

$v_{N} = \frac{x_{N}}{t}$

$x_{N} = v_{N}t$ (2)

Where R is for Reagan and N for Nathan.

Knowing that:

$x_{R} + x_{N} = 40 mi$

By adding equations (1) and (2) we have:

$x_{R} + x_{N} = v_{R}t + v_{N}t$

$t = \frac{x_{R} + x_{N}}{|v_{R}| + |v_{N}|} = \frac{40 mi}{8 mi/h + 10 mi/h} = 2.22 h$

Therefore, they meet in 2.22 hours.

I hope it helps you!

4 0

3 years ago

Read 2 more answers

What is 5+3.2n-6-4.8n=

Svetllana [295]

Answer:

-1-1.6n

Step-by-step explanation:

5+3.2n-6-4.8n

add like terms

-1-1.6n

4 0

3 years ago

Read 2 more answers

It takes you 53 minutes to bike 15 miles. At that same rate, about how long does it take you to bike 100 miles?

NikAS [45]

Answer:

It takes about 350 minutes to bike 100 miles

Step-by-step explanation:

53/15 = 3.5 (rounded to the nearest tenth place)

3.5 x 100 = 350

3 0

3 years ago