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Mademuasel [1]
2 years ago
7

Math help please!

Mathematics
1 answer:
Dovator [93]2 years ago
3 0

Answer:

x || t,         [Given]  

m\angle 16 = m\angle 7     [Given]                      ......[1]

Transversal defined as a line that cuts across two or more Parallel lines.

When two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal in measure.

m\angle 16 = m\angle 1   [Corresponding Angle theorem]     ......[2]

Substitute value [1] in [2] we have;

m\angle 7 =m\angle 1   [Substitution Property]

When two lines are cut by a transversal and the alternate exterior angles are equal in measure, then the lines are parallel.

k || w                     [ By Alternative Exterior Angle Theorem]       Hence proved!

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What is the average rate of change of f over the interval [3,4]?
masya89 [10]

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = \frac{-1-(-5)}{4-3} = \frac{-1+5}{1} = 4

3 0
3 years ago
The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how
nikklg [1K]

I hate rounding.

Let's call the diagonal x.  It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})

Only the positive value makes any sense for this problem, so we conclude

x = \frac 1 2(9 \pm \sqrt{329})

That's the exact answer.  Did I mention I hate rounding?  That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent.  By the Pythagorean Theorem the diagonal satisfies

x^2 = (x-4)^2 + (x-5)^2

which works out to

x=9 \pm 2\sqrt{10}

That's not consistent with the first answer; this problem really has no solution.  Tell your teacher to get better material.

5 0
2 years ago
Of the mean, median, and mode, which is (are) affected by outliers?
juin [17]

Answer:

C) the mean and median

Explanation:

Mean is affected alot, while the median is some what affected.

8 0
2 years ago
If ABC is 160°, what is DBC?
Monica [59]
The answer should be A 160
5 0
3 years ago
Can someone help me ): i think you should
Dimas [21]

Answer:

54+90+120+150+54= 468

D would be the answer

5 0
2 years ago
Read 2 more answers
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