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lina2011 [118]
3 years ago
9

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A ​ (4x − 13)° ​ B 15° C (x + 18)∘ W

hat is the measure of ∠A and ∠C ?
Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0
By Angle sum property,
Sum of all angles of a triangle equal to 180°.

As per the property,
A+B+C = 180°
4x-13 + 15 + x+18 = 180
5x+20 = 180
5x = 160
x = 32

Measure of Angle A =>
4x-13 = 4*32-13 = 128-13 = 115°

Measure of Angle C =>
x+18 = 32+18 = 50°

!! Hope It Helps !!
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What does noncollinear
Anit [1.1K]

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

3 0
3 years ago
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75241,0.06281)  

Where \mu=5.75241 and \sigma=0.06281

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

For the case when z =-2 we can do this:

-2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 -2*0.06281 =5.6121

And for the other case when Z=2 we have:

2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 +2*0.06281 =5.8886

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

5 0
3 years ago
A system of equations is graphed on the coordinate plane.
Nikolay [14]

Answer:

no solutions

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
If C = 1+ p2 + 3p and B = 2p + 6p, find an expression that equals 2C – – B in
drek231 [11]

Answer:

2p² + 14p + 2

Step-by-step explanation:

Given that;

C= 1+p²+3p

B=2p+6p

The expression that equals to : 2C - -B will be;

2{1+p²+3p} - {-2p-6p}

2+2p²+6p + 2p + 6p

2p² + 6p +2p +6p +2

2p² + 14p + 2

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3 years ago
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