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lara [203]
3 years ago
5

State wheather the triangles are similar,If so wite a similarity statement and the postulate or theorem you used

Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

Step-by-step explanation:

They are similar

\frac{OK}{ON}= \frac{OJ}{OM}= \frac{KJ}{NM}

SAS Theorem

I'm not sure if it's N because it's not there in the pic but anyway put whatever letter was there instead of the N

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An arithmetic series a consists of consecutive integers that are multiples of 4 what is the sum of the first 9 terms of this seq
frez [133]
<h3>Answer: 144</h3><h3>Step-by-step explanation:</h3><h3 />

Since, the first 9 multiple of 4 starts from 0 are,

0, 4, 8, 12, 16, 20, ................

Which is an AP,

Having the first term, a_1 = 0

And, the successive difference, d = 4,

Since, the sum of the n term of an AP,

S_n = \frac{n}{2}[2a + (n-1)d]

Hence the sum of 9 term of the above AP,

S_9 = \frac{9}{2}[2\times 0 + (9-1)\times 4]

S_9 = \frac{9}{2}(0 + 8\times 4)

S_9 = \frac{9}{2}(32)

S_9 = \frac{288}{2}=144

6 0
3 years ago
Can someone please help me?
Pavlova-9 [17]

Answer:5

Step-by-step explanation: the like moves at and angle bc u started going faster due to running

8 0
3 years ago
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Luba_88 [7]

Answer:

That's not math.....that's what appears to be Chemistry.

Step-by-step explanation:

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8 0
3 years ago
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One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
scoray [572]

Answer:

(9, 6)

Step-by-step explanation:

<u>Midpoint formula is:</u>

  • x = (x₁ + x₂)/2
  • y = (y₁ + y₂)/2

<u>Having coordinates of one end- and midpoint </u>(-5, 12) <u>and</u> (2, 9)<u>:</u>

  • x₁ = -5, y₁ = 12
  • x = 2, y = 9

<u>we get the coordinates of the missing endpoint with coordinates</u> (x₂, y₂):

  • x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9
  • y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6

<u>So the missing point is</u>: (9, 6)

7 0
3 years ago
An adult brain is about 140 mm wide and divided into two sections (called "hemispheres" although the brain is not truly spherica
Sedbober [7]

Answer: 3.61×10^5 A

Step-by-step explanation: Since the brain has been modeled as a current carrying loop, we use the formulae for the magnetic field on a current carrying loop to get the current on the hemisphere of the brain.

The formulae is given below as

B = u×Ia²/2(x²+a²)^3/2

Where B = strength of magnetic field on the axis of a circular loop = 4.15T

u = permeability of free space = 1.256×10^-6 mkg/s²A²

I = current on loop =?

a = radius of loop.

Radius of loop is gotten as shown... Radius = diameter /2, but diameter = 65mm hence radius = 32.5mm = 32.5×10^-3 m = 3.25×10^-2m

x = distance of the sensor away from center of loop = 2.10 cm = 0.021m

By substituting the parameters into the formulae, we have that

4.15 = 1.256×10^-6 × I × (3.25×10^-2)²/2{(0.021²) + (3.25×10^-2)²}^3/2

4.15 = 13.2665 × 10^-10 × I/ 2( 0.00149725)^3/2

4.15 = 1.32665 ×10^-9 × I / 2( 0.000058)

4.15 × 2( 0.000058) = 1.32665 ×10^-9 × I

I = 4.15 × 2( 0.000058)/ 1.32665 ×10^-9

I = 4.80×10^-4 / 1.32665 ×10^-9

I = 3.61×10^5 A

3 0
3 years ago
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