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3 years ago

In ANOP, NP is extended through point P to point Q,

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

Form the information given, we can deduce that:

m<OPQ is an exterior angle of ∆NOP = (6x - 15)°

m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem:

m<OPQ = m<PNO + m<NOP

(6x - 15)° = (2x + 18)° + (2x - 13)°

Solve for x

6x - 15 = 2x + 18 + 2x - 13

6x - 15 = 4x + 5

6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)

2x - 15 = 5

2x - 15 + 15 = 5 + 15 (addition property of equality)

2x = 20

2x/2 = 20/2 (division property of equality)

x = 10

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How many of the first 15 positive integers can be written as the sum of three squares?

Jlenok [28]

Answer

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Step-by-step explanation:

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2 years ago

The function f ( x ) = 2 ⋅ 5 ^x can be used to represent an exponential growth curve. Which of the following points is NOT on th

12345 [234]

Answer:

Point (2, 20) does not lie on the given curve.

Step-by-step explanation:

Let us see explanation:

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3 years ago

Read 2 more answers

A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M

ivann1987 [24]

Answer:

$9.35 \le M \le 9.45$

Step-by-step explanation:

Given

$M = 9.4$ to 1 d p

Required

The error interval

The error interval is represented as:

$Lower \le M \le Upper$

Where

$Lower = M - 0.05$

$Upper = M + 0.05$

So, we have:

$Lower = M - 0.05$

$Lower = 9.4 - 0.05$

$Lower = 9.35$

$Upper = M + 0.05$

$Upper = 9.4 + 0.05$

$Upper = 9.45$

Hence, the error interval: $Lower \le M \le Upper$ is:

$9.35 \le M \le 9.45$

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3 years ago

Graph the linear equation find three points that solve the equation then plot on the graph 2y=-x+2

balu736 [363]

I guess this is the line
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3 years ago

Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2

Anna [14]

Answer:

See attached

Step-by-step explanation:

Given function:

y = -2x² + 5x + 8

Table and graph are attached

Zeros are included in the graph

<u>Zero's are obtained:</u>

x = 0 ⇒ y = 8

y = 0 ⇒ Solving quadratic equation

-2x² + 5x + 8 = 0
x = (-5 ± √(25 + 2*4*8))/-4
x = 3.608
x = -1.108

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)

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3 years ago