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Mars2501 [29]
3 years ago
9

In the diagram, what is the measure of angle 1?

Mathematics
2 answers:
kozerog [31]3 years ago
6 0

Answer:

45

Step-by-step explanation:

3x+9x=180

x=180/12=15

<3x=<1

3x=3*15=45

then <1 =45

grin007 [14]3 years ago
5 0
3X+9X=180
12X=180
X=15°
Angle 1=3X
Angle 1 =45°
That's your answer.
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PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5
trasher [3.6K]

Answer:

The explicit formula for the given expression is a_n=-10+3n.

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

-4-(-7)=-4+7=3

The explicit formula for an AP is

a_n=a+(n-1)d

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

a_n=-7+(n-1)3

a_n=-7+3n-3

a_n=-10+3n

Therefore the explicit formula for the given expression is a_n=-10+3n.

6 0
3 years ago
If the speed limit of a highway is 60 mph, which car exceeded the speed limit? Assume all the cars were traveling at a constant
JulsSmile [24]
There was only one car that went over the speed limit and it's car A (183). the other cars were all under and how i found this out was take 60 mph x hours n that's the miles they should of drove n that many hours if they are above it the miles will be higher.
7 0
3 years ago
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Please someone answer this please
gladu [14]

Option C:

\frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Solution:

Given expression:

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

To find which expression is equivalent to the given expression.

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Using exponent rule: \frac{1}{a^m}=a^{-m}, \ \  \frac{1}{a^{-m}}=a^{m}

    $=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }

    $=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }

Using exponent rule: {a^m}\cdot{a^n}=a^{m+n}

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Divide both numerator and denominator by the common factor –6.

   $=\frac{3 a^{2} b^{11}}{2 }

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }

Therefore, \frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Hence Option C is the correct answer.

8 0
3 years ago
What are the coefficients in the expression -8y(2nd power) + 12x +5 +7?
oee [108]
It is choice B 

i hope that helps
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A = L x W

8624 = 98 \times w \\ 8624 \div 98 = w \\ 89.83 = w
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