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3 years ago

Formulate a conjecture about how the next step in this pattern would be found: 4, 16, 36, 64, 100, 144...

Mathematics

1 answer:

qwelly [4]3 years ago

6 0

The number is multyplicated with him self every time

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Find the value of x in each case. Give reasons to justify your solutions!

Leno4ka [110]

Answer:

The value of x in this case is 34°.

Step-by-step explanation:

Here, Lines TR and UP is intersecting lines at the point S.

⇒∠ TSU = ∠ PSR (VERTICALLY OPPOSITE ANGLES)

⇒ 4x = ∠ PSQ + ∠ QSR

= ∠ PSQ + 3x

⇒ ∠ PSQ = 4x - 3x = x

⇒ ∠ PSQ = x

Now, by The INTERIOR EXTERIOR ANGLES THEOREM In a TRIANGLE:

Sum of Two Interior angle of a triangle is equal to opposite exterior angle.

So, here in Δ PSR

∠ PSQ + ∠ SPQ = ∠ SQR

or, x + x = 68°

or, 2 x = 68°

⇒ x = 68/2 = 34°

Hence, the value of x in this case is 34°.

6 0

4 years ago

You have just arranged for a $1,800,000 mortgage to finance the purchase of a large tract of land. the mortgage has an apr of 7.

Marysya12 [62]

Hey what is Apr? So I can help you with this; )

6 0

3 years ago

Fill in the gaps in this sequence: -8, -19, -30, _ , _.<br> (Geometric and arithmetic sequences)

gavmur [86]

-8, -19, -30, -49 , -60

<u>Step-by-step explanation:</u>

Here we have the following sequence :

-8, -19, -30, _ , _

First term of sequence is -8 .
Second term of sequence is -19 : $-8-11 = -19$
Third term of sequence is -30 : $-19-11 = -30$
Fourth term of sequence is : $-30-11 = -49$
Fifth term of sequence is : $-49-11 = -60$

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. $a = -8$ and common difference $d = -11$ having general equation as : $-8 -11n$ .

6 0

3 years ago

Find the center and radius of the circle with equation (x + 3)^2 + (y – 6)^2 = 100.

Sonja [21]

Answer:

center (-3,6)

radius(r) 10

Step-by-step explanation:

The center-radius form (it is really called standard form) of a circle is:

$(x-h)^2+(y-k)^2=r^2$

where $(h,k)$ is the center and $r$ is the radius.

Compare the following:

$(x-h)^2+(y-k)^2=r^2$

$(x+3)^2+(y-6)^2=100$

You should see the following:

$-h=3$

$-k=-6$

$r^2=100$ .

$-h=3 \text{ implies }h=-3$ .

$-k=-6 \text{ implies } k=6$ .

$r^2=100 \text{ implies } r=\sqrt{100}=10$ .

So the center is (-3,6) and the radius is 10.

6 0

3 years ago

What type of ( )do you use in interval notation

liraira [26]

Answer:

With interval notation you would use round parentheses

Step-by-step explanation:

7 0

3 years ago