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cupoosta [38]
2 years ago
5

I JUST NEED 2. ANSWERED! THIS IS DUE! Solve for x

Mathematics
2 answers:
8_murik_8 [283]2 years ago
7 0

Answer:

x=24

Step-by-step explanation:

Since line A and B are parallel, 3x+7 is equivalent to Angle 6 as they are corresponding angles.

We also know that 4x+5+Angle 6 = 180 as they are a linear pair. We can use substitution and substitute 3x+7 for Angle 6...

4x+5+3x+7=180

7x+12=180

7x=168

x=24

baherus [9]2 years ago
6 0

Answer:

x= 24

Step-by-step explanation:

Given: A || B

This means that A is parallel to B.

Properties we can make use of when we have parallel lines are corresponding angles (e.g. ∠1= ∠4) and interior angles (e.g. ∠2 +∠4= 180°).

Let's make use of corresponding angles.

∠6= (3x +7)° (corr. ∠s, A||B)

Since D is a straight line and the sum of the angles on a straight line is 180°,

(4x +5)° +∠6= 180° (adj. ∠s on a str. line)

Substitute ∠6= (3x +7)°:

(4x +5)° +(3x +7)°= 180°

Simplify:

(7x +12)°= 180°

7x +12= 180

7x= 180 -12

7x= 168

Divide both sides by 7:

x= 168 ÷7

x= 24

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Nat2105 [25]

Answer:

We conclude that the mean IQ of her students is different from the national average.

Step-by-step explanation:

We are given that the national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15.

The dean of a college want to test whether the mean IQ of her students is different from the national average. For this, she administers IQ tests to her 144 students and calculates a mean score of 113

Let, Null Hypothesis, H_0 : \mu = 100 {means that the mean IQ of her students is same as of national average}

Alternate Hypothesis, H_1 : \mu\neq 100  {means that the mean IQ of her students is different from the national average}

(a) The test statistics that will be used here is One sample z-test statistics;

               T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean score = 113

              s = population standard deviation = 15

             n = sample of students = 144

So, test statistics = \frac{113-100}{\frac{15}{\sqrt{144} } }

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Now, at 0.05 significance level, the z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means our test statistics will fall in the rejection region and we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean IQ of her students is different from the national average.

3 0
3 years ago
2x - 3y = -1<br> y = x - 1
Viktor [21]
Here’s how you would work it out

3 0
3 years ago
Fgh is first translated using the rule x,y &gt;x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

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Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

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When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

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2 years ago
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Answer:

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6 0
3 years ago
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13846+8273636
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7 0
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