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Pachacha [2.7K]
3 years ago
12

A convex quadrilateral with congruent diagonals is a ?

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

A rectangle is a quadrilateral that has congruent diagonals. The rectangle is a convex quadrilateral because of two diagonals which lie in the interior of the rectangle.

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Write the equation of a circle given the center (-4, 4) and raduis r = 5.
Len [333]

Answer:

A) (x+4)^2+(y-4)^2=25

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. If (h,k)\rightarrow(-4,4) and r=5, then:

(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25

Therefore, the equation of the circle is (x+4)^2+(y-4)^2=25

6 0
3 years ago
Which tables could be used to verify that the functions they represent are inverses of each other? Select two
devlian [24]
<h3>Answers:  C and D</h3>

Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.

The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.

4 0
3 years ago
Does this graph represent a function? Why
Sladkaya [172]
C. Yes because it passes the vertical line test
3 0
2 years ago
80. At the gym Suppose that 10% of adults belong to
maria [59]

Answer:

4% of all adults go to a health club at least twice a week

Step-by-step explanation:

the proportion of adults who belong to health clubs is 10% that is 0.10

the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.

Thus, the proportion of all adults who go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

6 0
3 years ago
Find the value of the lesser root of x2 + 12x + 35 = 0.
matrenka [14]
In quadratic equations,
                                   a + b = -B
                                      ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
                                  a + b = -12
                                      ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7. 
8 0
3 years ago
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