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love history [14]
3 years ago
9

Quadrilateral abcd is a trapezoid with what must be shown to prove that abcd is an isosceles trapezoid?

Mathematics
1 answer:
monitta3 years ago
4 0
Do you have a picture 
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Prove that if xy > 0, then either x > 0 and y > 0 or x < 0 and y < 0
Rufina [12.5K]

The rule of product states that:

  • (+) \cdot (+) = (+)
  • (+) \cdot (-) = (-)
  • (-) \cdot (+) = (-)
  • (-) \cdot (-) = (+)

So, a product is positive if and only if both factors have the same sign, and is negative if only if the factors have opposite sign.

7 0
3 years ago
A train travels 16 miles in 20 minutes At this rate , how many minutes will it take to trace 12 miles?
VARVARA [1.3K]

Answer:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

It will take 15 minutes to travel 12 miles.

3 0
3 years ago
Suppose
Yakvenalex [24]

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

8 0
3 years ago
Find the value of a in the picture
Assoli18 [71]

Answer:

The measure of arc a is 86°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

86°=(1/2)[arc c+arc a]

see the attached figure with letters to better understand the problem

In this problem

Triangles ABO and CDO are congruent by SSS postulate theorem

∠AOB=∠COD

∠AOB=arc a -----> by central angle

∠COD=arc c -----> by central angle

therefore

The measure of arc a is congruent with the measure of arc c

arc a=arc c

so

86°=(1/2)[2arc a]

86°=[arc a]

arc a=86°

3 0
3 years ago
Suppose the sample space for a probability experiment has 8 elements. If elements from the sample are selected without replaceme
Gwar [14]

Answer: Number of ways =\dfrac{8!}{8!0!}\ or \ 1

Step-by-step explanation:

When there is no replacement , we use combination to find the number of ways to choose things.

Number of ways to choose r things out of  ( with out replacement) = ^nC_r=\dfrac{n!}{r!(n-r)!}

The number of ways to choose  8 things = ^8C_8=\dfrac{8!}{8!(8-8)!}=\dfrac{1}{0!}=1  [\because 0!=1]

Hence,  Number of ways =\dfrac{8!}{8!0!}\ or \ 1

5 0
2 years ago
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