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3 years ago

Kelly has 55 different books. She gives 20 of the books to her friend. How many books does kelly have now?

Mathematics

1 answer:

Lena [83]3 years ago

7 0

Kelly has 35 books now.

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AOC and BOD are diameters of a circle, centre O. Angles BAD and CDA are 90°. Prove that triangle AND and triangle DCA are congru

ololo11 [35]

Answer:

By using SAS which stands for Side, Angle, Side.

Step-by-step explanation:

This means that if we have two angles and side measures that are equal to the corresponding angles and side measures of the other triangle then they are congruent.

5 0

2 years ago

The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean

Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

$\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

Upon substituting our given values we will get,

$\text{Cos (4)}=\frac{55.86}{h}$

$h=\frac{55.86}{\text{Cos (4)}}$

$h=\frac{55.86}{0.99756405026}$

$h=55.996\approx 56$

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0

3 years ago

If possible may someone help me please?

Orlov [11]

Answer:

Given, ∠MNP=107 degree.

Therefore, ∠QPN= 107 degree. [as, MN=PQ]

We know, sum of four angles of a quadrilateral is 360 degree.

And as MN=PQ, ∠NMQ=∠MQP.

Therefore, ∠MQP= {360 degree-( 107degree+ 107 degree)}/2

=( 360 degree-214 degree)/2

= 146 degree/2

=73 degree.

hope this will help you.

Step-by-step explanation:

4 0

3 years ago

What is the domain of f(x) = (x + 2)2 – 1?

larisa [96]

Simplify

$\\ \tt\Rrightarrow f(x)=(x+2)^2-1$

$\\ \tt\Rrightarrow f(x)=x^2+4x+2-1$

$\\ \tt\Rrightarrow f(x)=x^2+4x+1$

The Domain is set of all real numbers

$\\ \tt\Rrightarrow Domain\in R$

4 0

2 years ago

Helppppppp pleaseeee again im sorry but i dont know any of itttttt.

Alchen [17]

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

5 0

2 years ago