If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

6 0

3 years ago

The figure below shows rectangle ABCD.

kipiarov [429]

Answer: We can find out the missing statement with help of below explanation.

Step-by-step explanation:

We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)

We have to prove: Diagonals AC and BD bisect each other.

In triangles, AED and BEC.

$\angle ADB \cong \angle CBD$ ( By alternative angle theorem)

$AD\cong BC$ ( Because ABCD is a rectangle)

$\angle CAD\cong \angle ACB$ ( By alternative angle theorem)

By ASA postulate, $\triangle AED\cong \triangle BEC$

By CPCTC, $BE\cong ED$ and $CE\cong EA$

⇒ BE= ED and CE=EA

By the definition of bisector, AC and BD bisect each other.

4 0

3 years ago

Read 2 more answers

Colin invests £3900 into his bank account.

zloy xaker [14]

Answer:

Colin will have 421824 pennies after 2 years

Step-by-step explanation:

Given:

Amount invested in bank by Colin (P) = £3900

Rate of interest (r) = 4%

Time period (n) = 2 years

To find: Amount after 2 years (A)

Solution:

Formula for amount (A) is $A=P\left ( 1+\frac{r}{100} \right )^n$

$A=3900\left ( 1+\frac{4}{100} \right )^2\\=3900\left ( 1+\frac{1}{25} \right )^2\\=3900\times \frac{26}{25}\times \frac{26}{25}\\=4218.24$

As 1 pound = 100 pennies,

4218.24 pounds = 4218.24 × 100 = 421824 pennies

So,

Colin will have 421824 pennies after 2 years.

4 0

3 years ago