All categories

3 years ago

Find the perimeter of the polygon

Mathematics

1 answer:

jenyasd209 [6]3 years ago

8 0

Answer:

The perimeter of the polygon is 48 cm.

Step-by-step explanation:

Given: $\angle B \cong \angle D$

To find the perimeter of the polygon, we need to find the lengths of the AB, BC, CD and DA

Since, $\angle B \cong \angle D$ and to find the length, from circle theorem, "Two tangents from an external point to a circle are always equal in length".

From this statement we shall conclude,

The length of $AB=5+6=11$

The length of $BC=6+7=13$

The length of $CD=7+6=13$

The length of $DA=6+5=11$

Thus, the perimeter of the polygon is

$\begin{aligned}\text {Perimeter} &=A B+B C+C D+D A \\&=11+13+13+11 \\&=48 \mathrm{cm}\end{aligned}$

Hence, the perimeter of the polygon is 48 cm.

You might be interested in

How do you solve 3/5×4 1/6?

Helen [10]

$\frac{3}{5}$ × $4 \frac{1}{6}$

First, convert $4\frac{1}{6}$ to an improper fraction. Use this rule: $a \frac{b}{c}$ = $\frac{ac+b}{c}$ / Your problem should look like: $\frac{3}{5}$ × $\frac{4x6+1}{6}$
Second, simplify 4 × 6 to 24. / Your problem should look like: $\frac{3}{5}$ × $\frac{24+1}{6}$
Third, simplify 24 + 1 to 25. / Your problem should look like: $\frac{3}{5}$ × $\frac{25}{6}$
Fourth, apply this rule: $\frac{a}{b}$ × $\frac{c}{d}$ = $\frac{ac}{bd}$ / Your problem should look like: $\frac{3x25}{5x6}$
Fifth, simplify 3 × 25 to 75. / Your problem should look like: $\frac{75}{5x6}$
Sixth, simplify 5 × 6 to 30. / Your problem should look like: $\frac{75}{30}$
Seventh, simplify. / Your problem should look like: $\frac{5}{2}$
Eighth, convert to mixed fraction. / Your problem should look like: $2\frac{1}{2}$

Answer: $2 \frac{1}{2}$

5 0

4 years ago

starting at sea level a submarine descends at a constant rate to a depth of negative 5 6 Mile relative to sea level in 4 minutes

ycow [4]

Answer:

Step-by-step explanation:

To find how many miles the submarine is going per minute, you need to divide the miles (56) by the minutes (4)

56/4 =

14 miles per minute

If the submarine has been descending for 1 minute, and descends at 14 miles per minute, you can conclude that it wend 14 miles below sea level in 1 minute.

7 0

4 years ago

In last Quiz, Ahmed answered 24 out of 30 questions correctly. In this quiz he answered 20 out of 24 questions correctly. On whi

True [87]

Answer:

He scored better on the second test by a margin of 3%.

Step-by-step explanation:

Find the percentage of each one by dividing Ahmed's score / Total possible score

24/30 = 0.8 > move the decimal place over twice for % > 80%

20/24 = 0.83333 > move the decimal place over twice for % > 83%

He scored 3% better on the second test.

8 0

3 years ago

What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7

e-lub [12.9K]

Answer:

y=x+5

Step-by-step explanation:

Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.

4 0

4 years ago

NEED HELP ASAP!!!!!!!!

nikklg [1K]

B. 195

It’s B because if you divide 584 with 3 it equals 194.66 but you round up and it becomes 195.

8 0

3 years ago