All categories

3 years ago

The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal BD. Find the measure of ∠BAD.

Mathematics

1 answer:

saveliy_v [14]3 years ago

3 0

The complete question in the attached figure

we know that
the diagonals of a rhombus intersect to form right angles,
so
angle ACE is ----------> (90°-64°)-----------> 26°
ACE is the angle bisector of ACD, this means that ACD is ---------> 26 x 2 = 52°

The diagonals are angle bisectors to the opposite corners
so
ACD = ACB = 52°
and
BCD = 52 x 2 = 104°
For a rhombus, opposite angles are equivalent,
so
BAD = BCD = 104°

the answer is
angle BAD=104°

You might be interested in

Expand and simplify 9a+3(8-2a).

Zina [86]

9a + 24 - 6a
3a + 24
In bold is your answer

8 0

3 years ago

Read 2 more answers

George and his dad are planning to attend the state fair. An adult ticket is $19.00. The price of an adult ticket is one third t

vovikov84 [41]

Answer:

$19 × 3 + $15 + $1=answer? I think

7 0

2 years ago

Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

icang [17]

Answer:

I) There are $8.760\times 10^3$ hours in 1 year.

II) The exact number of hours in one year is $8.76582\times 10^3$ hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I) Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

$n=24\times 365$

$n=8760$

In scientific notation,

$8760=8.760\times 10^3$

So, there are $8.760\times 10^3$ hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

$n=\frac{31556952}{3600}$

$n=8765.82$

In scientific notation,

$8765.82=8.76582\times 10^3$

So, the exact number of hours in one year is $8.76582\times 10^3$ hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

The exact numbers of hours using 365 days is 8760 which is written as $8.760\times 10^3$ in scientific notation but using the given data we get $8.76582\times 10^3$ hours.