URGENT! WILL MARK BRAIN!

Mathematics

2 answers:

Semenov [28]3 years ago

7 0

Answer:

1,174,405,120

Step-by-step explanation:

Multiply each month by 4

70 x 4 = 280

280 x 4 = 1,120

4,480 x 4 = 17,928

17,928 x 4 = 71,680

71,680 x 4 = 286,720

at 12 months you have 1,174,405,120

OlgaM077 [116]3 years ago

5 0

As you might've noticed, there is a PATTERN in the number of termites. That pattern is the no. of termites MULTIPLIED BY 4. Let me prove this:

The 1st term in the no. of termites is 70, the 2nd is 280. 70 MULTIPLIED BY 4 IS 280, ISN'T IT? Now let's look at the 2nd term in the no. of termites is 280 and the 3rd term is 1,120. 280×4= 1,120 isn't it?
Therefore after 1 year the no. of termites is 1, 174,405, 120.

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Secants L J and L M intersect and form an angle at point L. Solve for x.

german

Answer:

x = 14

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

$\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}$

Check:

$\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}$